a concise introduction to pure mathematics martin liebeck

A Concise Introduction to Pure Mathematics - Martin Liebeck

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler’s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare the sizes of two infinite sets; and the rigorous theory of limits and continuous functions.New to the Fourth EditionTwo new chapters that serve as an introduction to abstract algebra via the theory of groups, covering abstract reasoning as well as many examples and applicationsNew material on inequalities, counting methods, the inclusion-exclusion principle, and Euler’s phi function Numerous new exercises, with solutions to the odd-numbered onesThrough careful explanations and examples, this popular textbook illustrates the power and beauty of basic mathematical concepts in number theory, discrete mathematics, analysis, and abstract algebra. Written in a rigorous yet accessible style, it continues to provide a robust bridge between high school ... Unknown localization key: "more"

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A Concise Introduction to Robot Programming with ROS 2 - Francisco Martin Rico

A Concise Introduction to Robot Programming with ROS2 provides the reader with the concepts and tools necessary to bring a robot to life through programming. It will equip the reader with the skills necessary to undertake projects with ROS2, the new version of ROS. It is not necessary to have previous experience with ROS2 as it will describe its concepts, tools, and methodologies from the beginning.Key FeaturesUses the two programming languages officially supported in ROS2 (C++, mainly, and Python)Approaches ROS2 from three different but complementary dimensions: the Community, Computation Graph, and the WorkspaceIncludes a complete simulated robot, development and testing strategies, Behavior Trees, and Nav2 description, setup, and useA GitHub repository with code to assist readersIt will appeal to motivated engineering students, engineers, and professionals working with robot programming.

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A Concise Introduction to Machine Learning - A.C. Faul

A Concise Introduction to Machine Learning uses mathematics as the common language to explain a variety of machine learning concepts from basic principles and illustrates every concept using examples in both Python and MATLAB®, which are available on GitHub and can be run from there in Binder in a web browser. Each chapter concludes with exercises to explore the content.The emphasis of the book is on the question of Why—only if “why” an algorithm is successful is understood, can it be properly applied and the results trusted. Standard techniques are treated rigorously, including an introduction to the necessary probability theory. This book addresses the commonalities of methods, aims to give a thorough and in-depth treatment and develop intuition for the inner workings of algorithms, while remaining concise.This useful reference should be essential on the bookshelf of anyone employing machine learning techniques, since it is born out of strong experience in university teaching and research on algorithms, while remaining approachable and readable.

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A Concise Introduction to Mixed Methods Research - International Student Edition - John W. Creswell

For students and researchers new to mixed methods, A Concise Introduction to Mixed Methods Research 2e by renowned author John W. Creswell provides a brief and practical introduction to mixed methods. Many graduate students and researchers in the social, behavioral and health sciences may not have the time or resources to read long treatises or stacks of journal articles on mixed methods research. This text quickly describes the basics of setting up and conducting a study using this methodology. Chapters are short and follow the process of research, from ensuring skills for conducting research, acknowledging the steps in planning a study, designing studies with increasing complexity, planning sampling strategies and integration, and writing up the results of your study. Get started in mixed methods quickly with this brief primer.

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A Concise Introduction to Logic - Patrick Hurley

A CONCISE INTRODUCTION TO LOGIC. The text's clear, student-friendly and thorough presentation has made it the most widely used logic text in North America. Studying logic offers multiple benefits. It helps you think through problems in an organized and systematic way. It instills patterns of reasoning that enable you to persuade others as to the correctness of your convictions, and it teaches you how to use language clearly and precisely. Doing well in logic improves your skills in ways that will help in your other courses, everyday life and future career. Additionally, for the 14th edition, the WebAssign online platform provides interactive exercises, online homework solutions, multimedia tutorials, help videos and the complete text in an eBook format.

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A Concise Introduction to Functional Analysis - Cesar R. de Oliveira

A Concise Introduction to Functional Analysis is designed to serve a one-semester introductory graduate (or advanced undergraduate) course in functional analysis.

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Introduction to Physical Hydrology - Martin Hendriks

Water dominates our lives: we live on a planet with much water and our lives depend on it in many ways. Despite the seeming abundance of water on the planet - with over 70% being salt water - human activity and prevailing climate conditions are placing more pressure on our supply of water than ever before, however. With this pressure comes a need to understand the physical principles of hydrology - the study of the occurrence, movement, and physical properties of non-oceanic water on and below the earth''s surface - an understanding that can then be applied to water management and related innovations. Introduction to Physical Hydrology provides a solid grounding in the principles of the subject. Exploring the principal rules that govern the flow of water on the land, it considers the four major types of water: atmospheric, ground, soil, and surface. It gives insights into the major hydrological processes, and shows how the principles of physical hydrology inform our understanding of climate and global hydrology - the large-scale study of hydrology with which we need to grapple to fully understand the impact of the climate on water supply.The study of physical properties is done most effectively through mathematical ... Unknown localization key: "more"

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A Concise Introduction to Software Engineering - Pankaj Jalote

Software engineering has changed: A software project today is likely to use large language models (LLMs) for some tasks and will employ some open-source software. It is therefore important to integrate open source and use of LLMs in teaching software engineering – a key goal of this textbook.This reader-friendly textbook/reference introduces a carefully curated set of concepts and practices essential for key tasks in software projects. It begins with a chapter covering industry-standard software, open-source tools, and the basics of prompt engineering for LLMs. The second chapter delves into project management, including development process models, planning, and team-working. Subsequent chapters focus on requirements analysis and specification, architecture design, software design, coding, testing, and application deployment.Each chapter presents concepts, practical methods, examples, the application of LLMs, and the role of open-source software. A companion website provides some comprehensive case studies, as well as teaching material including presentation slides.This textbook is ideal for an introductory course on software engineering where the objective is to develop knowledge and skills to execute a project—specifically in a team employing contemporary software engineering practices and using open source and LLMs. It is also suitable for professionals who want to be introduced to the systematic approach of ... Unknown localization key: "more"

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How to Read Paintings - Liz Rideal

How to Read Paintings is a valuable visual guide to Western European painting. Through a gallery of artworks accompanied by informative commentary, it enables readers to swiftly develop their understanding of the grammar and vocabulary of painting, and to discover how to look at diverse paintings in detail, closely reading their meanings and methods. In the first part of the book, the Grammar of Paintings, the author reveals how to read paintings by considering five key areas: shape and support, medium and materials, composition, style and technique, and signs and symbols, as well as the role of the artist. In the second part, we explore fifty paintings through extracted details, accompanied by insightful commentary, training the reader and viewer to understand context and discover meaning within art. As a collection, the pictures featured in How to Read Paintings have a strong relationship with one another, and underpin the story of painting. This book will be a valuable tool whether you are viewing the real thing on a gallery wall, or simply reading around the subject to learn more about Western art. Book Description A concise introduction to paintings in the Western European tradition, through the stories of 50 powerful artworks ... Unknown localization key: "more"

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Ivan Pavlov - Daniel P. Todes

In this book, Daniel P. Todes provides concise introduction to the life and science of the great Russian physiologist Ivan Pavlov (1849-1936). Todes weaves together Pavlov''s life, values, context, and science by focusing upon his quest to understand the psyche and the "torments of our consciousness". This introduction follows the origins and maturation of Pavlov''s quest from his early life in a priestly family in provincial Riazan, to his struggles and late professional success in the glittering capital of St. Petersburg, through the cataclysmic destruction of his world during the Bolshevik seizure of power and civil war of 1917-1921, to the rebuilding of his life in his 70s as a "prosperous dissident" during the Leninist 1920s, and his success and personal torments in 1929-1936 during the industrialization, cultural revolution, and terror of Stalin times. Beyond a basic biography, Todes devotes particular attention to Pavlov''s Nobel Prize-winning research on digestion (1891-1903) and his iconic studies of conditional reflexes and higher nervous activity (1903-1936), as well as his experiments with dogs. Fundamentally reinterpreting Pavlov''s famous research on conditional reflexes, Todes shows that Pavlov was not a behaviorist, did not use a bell, and was uninterested in training dogs. The Russian scientist sought ... Unknown localization key: "more"

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Guidebook to Academic Writing - Cornelia C. Paraskevas, Deborah F. Rossen-Knill

This innovative guidebook is an accessible and concise introduction to discipline-specific academic language. Using authentic texts written by both novice and expert writers and ‘translating’ current, corpus-based research of academic language into a practical guide, the book gives students the tools to navigate the linguistic features of various disciplines, emphasizing the humanities and sciences, but also discussing example texts from the social sciences.Organised as 11 self-contained questions that are critical to any discussion of academic language, this guide:provides specific information and detail regarding the language ‘demands’ of each disciplineexplains the principles underlying punctuation, the range of choices writers have and the effects of these choices on readersincludes detailed linguistic guidance on how to construct effective paragraphsdiscusses the multiple ways attitude is expressed in academic textsincludes information on citation practicesWith exercises and additional online resources, this guidebook provides students with a range of tools they can choose from in order to create effective texts that meet discipline and reader expectations. Accessibly written, it is an essential guide for all students in humanities and sciences writing academic texts in English.

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The Cambridge Companion to Biblical Narrative

The Cambridge Companion to Biblical Narrative offers an overview and a concise introduction to an exciting field within literary interpretation of the Hebrew Scriptures and New Testament. Analysis of biblical narrative has enjoyed a resurgence in recent decades, and this volume features essays that explore many of the artistic techniques that readers encounter in an array of texts. Specially commissioned for this volume, the chapters analyze various scenes in Genesis, Exodus and the wilderness wanderings, Israel''s experience in the land and royal experiment in Kings and Chronicles, along with short stories like Ruth, Jonah, Esther, and Daniel. New Testament essays examine each of the four gospels, the book of Acts, stories from the letters of Paul, and reading for the plot in the book of Revelation. Designed for use in undergraduate and graduate courses, this Companion will serve as an excellent resource for instructors and students interested in understanding and interpreting biblical narrative.

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Pearson Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook + e-book - Alistair Macpherson, Su Nicholson, Robert Ward-Penny, Keith

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics This book covers all the content needed for the Edexcel AS level Pure Mathematics exam. It can also be used alongside the Year 2 book to cover all the content needed for the Edexcel A level Pure Mathematics exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel AS and A level Mathematics Pure Mathematics Year 1/AS Textbook + e-book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel''s ... Unknown localization key: "more"

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Pearson Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book - Alistair Macpherson, Su Nicholson, Keith Pledge

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics. This book covers all the content needed for the compulsory Edexcel AS level Core Pure Mathematics exam. It can also be used alongside Book 2 to cover all the content needed for the compulsory Edexcel A level Core Pure Mathematics exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book matches the Pearson Edexcel exam structure and is fully ... Unknown localization key: "more"

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Pearson Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book - Alistair Macpherson, Keith Pledger, Jack Barraclough, Ian Bettison, Ha

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics This book can be used alongside the Year 1 book to cover all the content needed for the Edexcel A level Pure Mathematics exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel A level Mathematics Pure Mathematics Year 2 Textbook + e-book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel''s interactive scheme of work. All of the books in this series focus on problem-solving and modelling, as ... Unknown localization key: "more"

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Pearson Edexcel A level Further Mathematics Core Pure Mathematics Book 2 Textbook + e-book

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics. This book can be used alongside the Year 1 book to cover all the content needed for the compulsory Edexcel A level Core Pure Mathematics exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel A level Further Mathematics Core Pure Mathematics Book 2 Textbook + e-book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel''s interactive scheme of work. All of the books in this series focus on ... Unknown localization key: "more"

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Pearson Edexcel AS and A level Mathematics Pure Mathematics Year 2 Practice Book

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics. Our A level Mathematics Pure Year 2 Practice Book helps you get exam-ready with confidence and practice at the right pace. Coverage: the practice workbooks cover all Pure, Statistics and Mechanics topics Quantity: the most A level question practice available, with over 2,000 extra questions per book Practice at the right pace: start with the essentials, build your skills with various practice questions to make connections between topics, then apply this to exam-style questions at the end of each chapter Get exam-ready with confidence: differentiated questions including ‘Bronze, Silver, Gold'' in each chapter, and a mixed problem-solving section for each book, will guide and help you to develop the skills you need for your exams Designed to be used flexibly, the practice books are fully mapped to the scheme of work and textbooks so you can use them seamlessly in and out of the classroom and all year round. Use them lesson by lesson, topic by topic, for homework, revision ... Unknown localization key: "more"

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Pearson Edexcel AS and A level Further Mathematics Further Pure Mathematics 1 Textbook + e-book

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics. This book covers all the content needed for the optional Edexcel AS and A level Further Pure Mathematics 1 exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel AS and A level Further Mathematics Further Pure Mathematics 1 Textbook + e-book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel''s interactive scheme of work. All of the books in this series focus on problem-solving and modelling, as well ... Unknown localization key: "more"

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Pearson Edexcel AS and A level Further Mathematics Further Pure Mathematics 2 Textbook + e-book

The UK''s most trusted A level Mathematics resources With over 900,000 copies sold (plus 1.3 million copies sold of the previous edition), Pearson''s own resources for Pearson Edexcel are the market-leading and most trusted for AS and A level Mathematics. This book covers all the content needed for the optional Edexcel AS and A level Further Pure Mathematics 2 exams Enhanced focus on problem-solving and modelling, as well as supporting the large data set and calculators Packed with worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises Full worked solutions to every question available free and online for quick and easy access. Plus free additional online content with GeoGebra interactives and Casio calculator tutorials Practice books also available offering the most comprehensive and flexible AS/A level Maths practice with over 2000 extra questions Includes access to an online digital edition (valid for 3 years once activated) Pearson Edexcel AS and A level Further Mathematics Further Pure Mathematics 2 Textbook + e-book matches the Pearson Edexcel exam structure and is fully integrated with Pearson Edexcel''s interactive scheme of work. All of the books in this series focus on problem-solving and modelling, as well ... Unknown localization key: "more"

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Further Mathematics Revision Booklet for CCEA GCSE: Pure Maths 2 - Neill Hamilton

This is one of a set of four revision booklets and is designed to cover everything other than Matrices and Calculus for the Pure Maths element of the current CCEA GCSE Further Mathematics specification.• Valuable revision questions with answers.• The questions are arranged into five distinct ‘tests’.• NOT from past papers; commissioned specifically for this booklet.• Similar in style to our existing M1 to M8 revision booklets for GCSE Mathematics.• This Pure Maths 2 booklet together with Pure Maths 1 addresses the content of Pure Mathematics. There are separate booklets for Mechanics and Statistics.

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Further Mathematics Revision Booklet for CCEA GCSE: Pure Maths 1 - Neill Hamilton

Designed to cover the Pure Maths (Matrices and Calculus) elements of the current CCEA GCSE Further Mathematics specification, this is one of a set of four revision booklets.• Valuable revision questions with answers.• The questions are arranged into five distinct ‘tests’.• NOT from past papers; commissioned specifically for this booklet.• Similar in style to our existing M1 to M8 revision booklets for GCSE Mathematics.• This Pure Maths 1 booklet together with Pure Maths 2 address the content of Pure Mathematics. There are separate booklets for Mechanics and Statistics. Â

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Cambridge International AS & A Level Mathematics: Pure Mathematics 2 & 3 Coursebook - Sue Pemberton, Julianne Hughes

This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Pure Mathematics 2 & 3 matches the corresponding units of the syllabus. It clearly indicates materials required for P3 study only, and contains materials on topics such as logarithmic and exponential functions, trigonometry, differentiation, integration, numerical solutions of equations, vectors and complex numbers. This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and ''Explore'' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

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Cambridge International AS & A Level Mathematics: Pure Mathematics 1 Coursebook - Sue Pemberton

This series has been developed specifically for the Cambridge International AS & A Level Mathematics (9709) syllabus to be examined from 2020. Cambridge International AS & A Level Mathematics: Pure Mathematics 1 matches the corresponding unit of the syllabus, with a clear and logical progression through. It contains materials on topics such as quadratics, functions, coordinate geometry, circular measure, series, differentiation and integration.This coursebook contains a variety of features including recap sections for students to check their prior knowledge, detailed explanations and worked examples, end-of-chapter and cross-topic review exercises and 'Explore' tasks to encourage deeper thinking around mathematical concepts. Answers to coursebook questions are at the back of the book.

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Introduction to the English Legal System - Martin Partington

Introduction to the English Legal System is the ideal foundation for those coming new to the study of law. Writing in a highly engaging and accessible style, Martin Partington introduces the purposes and functions of English law, the law-making process, and the machinery of justice, while also challenging assumptions and exploring current debates. Drawing on over 40 years'' experience in the law, Martin Partington examines beliefs about the English legal system, and encourages students to question how far it meets the growing demands placed on it. Incorporating all the latest developments, this concise introduction brings law and the legal system to life. Digital formats and resources: This edition is available for students and institutions to purchase in a variety of formats, and is supported by online resources.- The e-book offers a mobile experience and convenient access along with functionality tools, navigation features, and links that offer extra learning support: www.oxfordtextbooks.co.uk/ebooks- The online resources include questions for reflection and discussion; self-test questions; a glossary; further reading materials; web links; and a link to Martin Partington''s blog, which covers key developments in the English justice system.

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Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume I: Set Theory - Jindřich Zapletal, Christopher Porter, Jean

This book provides an introduction to axiomatic set theory and descriptive set theory. It is written for the upper level undergraduate or beginning graduate students to help them prepare for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The book is designed as a flexible and accessible text for a one-semester introductory course in set theory, where the existing alternatives may be more demanding or specialized. Readers will learn the universally accepted basis of the field, with several popular topics added as an option. Pointers to more advanced study are scattered throughout the text.

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Edexcel A-Level Mathematics Student Textbook - Pure Mathematics Year 2 + Online Edition - CGP Books

This book covers all the content needed for Year 2 of the Edexcel Pure Maths A-Level course and is fully up to date for the latest specifications. It has the clearest notes on all the theory for every topic, including annotated worked examples and explanations; hundreds of challenging questions for every chapter, including problem-solving and modelling; two realistic Practice Papers with a complete mark scheme; and a free Online Edition to read on PC, Mac or tablet (use the unique code printed inside the cover to gain full access).For full A-Level Maths coverage don’t miss the Year 2 Statistics and Mechanics Student Textbook (9781789088427), and the Year 1 Student Textbooks for Pure Maths (9781789088397) and Statistics and Mechanics (9781789088403).

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Engineering Mathematics - Martin Hargreaves, Anthony Croft, Robert Davison, James Flint

Engineering Mathematics is the unparalleled undergraduate textbook for students of electrical, electronic, communications and systems engineering. Tried and tested over many years, this widely used textbook is now in its 5th edition, having been fully updated and revised. This new edition includes an even greater emphasis on the application of mathematics within a range of engineering contexts. It features detailed explanation of why a technique is important to engineers. In addition, it provides essential guidance in how to use mathematics to solve engineering problems. This approach ensures a deep and practical understanding of the role of mathematics in modern engineering.

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Pure Mathematics for CCEA A2 Level - Luke Robinson

Comprehensively updated and re-designed, this edition of ''Pure Mathematics for CCEA A2 Level'' fully covers unit A2 1 of the CCEA specification. Each section of the book contains theory and examples with key words and definitions throughout. It also provides a large number of exercises with answers included at the back of the book.Contents:Algebra and GraphsFunctionsRadian MeasurCoordinate GeometrySequences and SeriesBinomial ExpansionTrigonometric FunctionTrigonometric Identities and Equations  DifferentiationFurther DifferentiationIntegrationDifferential EquationsNumerical MethodsProblem SolvingÂ

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Pure Mathematics for CCEA AS Level - Luke Robinson

Comprehensively updated and re-designed, this edition of 'Pure Mathematics for CCEA AS Level' fully covers unit AS1 of the CCEA specification. Each section of the book contains theory and examples with key words and definitions throughout. It also provides a large number of exercises with answers included at the back of the book.

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Edexcel AS and A Level Modular Mathematics Further Pure Mathematics 3 FP3 - Keith Pledger, Dave Wilkins

Edexcel''s own course for the GCE specification. Providing the best possible match to the specification, Edexcel AS and A Level Modular Mathematics FP3 motivates students by making maths easier to learn. Completely re-written by chief examiners for the specification, it provides student-friendly worked examples and solutions, leading up to a wealth of practice questions. Sample past exam papers for thorough exam preparation, and regular review sections that help consolidate learning are included. Opportunities for stretch and challenge are presented throughout the course. Also included is an interactive FREE LiveText CD-ROM, containing Solutionbank and Exam Cafe to support and inspire students to reach their potential for exam success. Solutionbank contains fully worked solutions with hints and tips for every question in the Student Book. Exam Cafe includes a revision planner and checklist as well as a fully worked examination-style paper with chief examiner''s commentary

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Edexcel AS and A Level Modular Mathematics Further Pure Mathematics 2 FP2 - Keith Pledger

Edexcel and A Level Modular Mathematics FP2 features: Student-friendly worked examples and solutions, leading up to a wealth of practice questions. Sample exam papers for thorough exam preparation. Regular review sections consolidate learning. Opportunities for stretch and challenge presented throughout the course. ‘Escalator section’ to step up from GCSE. PLUS Free LiveText CD-ROM, containing Solutionbank and Exam Café to support, motivate and inspire students to reach their potential for exam success. Solutionbank contains fully worked solutions with hints and tips for every question in the Student Books. Exam Café includes a revision planner and checklist as well as a fully worked examination-style paper with examiner commentary.

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Introduction to Particle Technology - Jonathan Seville, Martin J. Rhodes

INTRODUCTION TO PARTICLE TECHNOLOGY A new edition of the indispensable guide to particulates and powders Particle technology concerns the formation, processing and properties of the particles and powders which make up many of the products that surround us. Such products range from the cement and aggregate in the built environment to pharmaceuticals and processed foods. Most of the process industries involve particles, either as essential components such as catalysts or as intermediate or final products, and minerals such as the rare earths that are generally mined and processed in particulate form. Particles can have many beneficial uses but they can also cause harm in the environment and, through inhalation, to the individual. In all cases, the powder properties, particularly particle size, are crucially important. This well-known textbook, now in its 3rd edition, provides an easily-understood introduction to the underlying scientific principles of particle technology, together with examples of how these principles can be used in practical design and operation of industrial processes. Each chapter contains both worked examples and exercises for the student. Based on feedback from students and users of the earlier editions, this revised and expanded text includes introductory chapters on particles as products and on computational methods. ... Unknown localization key: "more"

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Pure India - Martin Bakker, Henk Bothof

Kniha přibližuje fotografickou formou indické kmeny. With Pure India, the photographers Henk Bothof and Martin Bakker invite you to look at the unusual population groups in India. Colourful, exceptional, meditative and occasionlly confronting is the best describtion of these portraits. The voyage of discovery undertaken by Bothof and Bakker, who have visited India many times since 1993, has produced this impressive document. The diversity of people who hold onto old traditions and are unfamiliar with western norms and values shows another India. Pure India!

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Progress to Edexcel AS Mathematics Workbook

Progress to Edexcel AS Mathematics Workbook is your stepping stone to starting the AS Mathematics course with confidence. Work through this write-on workbook unit by unit to cover the key algebra you need to bridge successfully from GCSE to AS Mathematics.

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Introduction to Political Psychology - Elena Mastors, Thomas Preston, Martha L. Cottam

Introduction to Political Psychology explores the many psychological patterns that influence individual political behavior. The authors introduce readers to a broad range of theories, concepts, and case studies of political activity, arguing that individuals are driven or motivated to act in accordance with personality characteristics, values, beliefs, and attachments to groups. The book explains many aspects of political behavior—whether seemingly pathological actions or normal decision-making practices, which sometimes work optimally, and sometimes fail. Thoroughly updated throughout, the book examines patterns of political behavior in areas including leadership, group behavior, voting, race, nationalism, terrorism, and war. This edition features coverage of the 2016 election and profiles former U.S. President Donald Trump, while also including updated data on race relations and extremist groups in the United States. Global issues are also considered, with case studies focused on Myanmar and Syria, alongside coverage of social issues including Black Lives Matter and the #MeToo movement.Accessibly written and comprehensive in scope, it is an essential companion for all graduate and upper-level undergraduate students of psychology, political science, and political psychology. It will also be of interest to those in the policy-making community, especially those looking to learn more about the extent to which perceptions, personality, ... Unknown localization key: "more"

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Schaum's Outline of Discrete Mathematics, Fourth Edition - Marc Lipson, Seymour Lipschutz

Study smarter and stay on top of your discrete mathematics course with the bestselling Schaum’s Outline—now with the NEW Schaum’s app and website! Schaum’s Outline of Discrete Mathematics, Fourth Edition is the go-to study guide for more than 115,000 math majors and first- and second-year university students taking basic computer science courses. With an outline format that facilitates quick and easy review, Schaum’s Outline of Discrete Mathematics, Fourth Edition helps you understand basic concepts and get the extra practice you need to excel in these courses.Coverage includes set theory; relations; functions and algorithms; logic and propositional calculus; techniques of counting; advanced counting techniques, recursion; probability; graph theory; directed graphs; binary trees; properties of the integers; languages, automata, machines; finite state machines and Turning machines; ordered sets and lattices, and Boolean algebra.Features • NEW to this edition: the new Schaum’s app and website!• NEW to this edition: 20 NEW problem-solving videos online• 467 solved problems, and hundreds of additional practice problems• Outline format to provide a concise guide to the standard college course in discrete mathematics• Clear, concise explanations of discrete mathematics concepts• Expanded coverage of logic, the rules of inference and basic types of proofs in mathematical reasoning• Increased emphasis ... Unknown localization key: "more"

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Psychology: A Concise Introduction - Richard A. Griggs, Sherri L. Jackson

This exceptionally concise volume offers a rich survey of the field’s fundamental research and concepts at an unbeatable price—with formats for less than $40! The text also includes a robust media and supplements package for instructors and students, including LaunchPad. No other text/media resource for the course offers such an attractive combination of authority and affordability. Richard Griggs and Sherri Jackson have revised and updated the text throughout while still maintaining the book’s trademark brevity. To accomplish this, content deletions as well as additions were made. A list of the main revisions can be found in the Preview/New to this Edition section.

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Adding It Up - National Research Council, Division of Behavioral and Social Sciences and Education, Center for Education, Mathematics Learning Study C

Adding It Up explores how students in pre-K through 8th grade learn mathematics and recommends how teaching, curricula, and teacher education should change to improve mathematics learning during these critical years. The committee identifies five interdependent components of mathematical proficiency and describes how students develop this proficiency. With examples and illustrations, the book presents a portrait of mathematics learning:Research findings on what children know about numbers by the time they arrive in pre-K and the implications for mathematics instruction. Details on the processes by which students acquire mathematical proficiency with whole numbers, rational numbers, and integers, as well as beginning algebra, geometry, measurement, and probability and statistics. The committee discusses what is known from research about teaching for mathematics proficiency, focusing on the interactions between teachers and students around educational materials and how teachers develop proficiency in teaching mathematics.

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Further Mathematics for CCEA GCSE - Neill Hamilton, Sam Stevenson

This is the second edition of the extremely popular resource, fully updated for the current specification and covering the whole examined CCEA Further Mathematics GCSE course including Pure Mathematics, Mechanics and Statistics as well as a brand new section on Discrete and Decision Mathematics.It has been subject to a detailed quality assurance check by a Maths expert prior to publication and clearly explains the theory for each subject followed by a generous number of questions with answers at the rear.The authors, Neill Hamilton and Sam Stevenson, will be well-known to teachers in Northern Ireland.CONTENTS Unit 1: Pure Mathematics:1 Simplifying Algebraic Expressions2 Equations3 Simultaneous Equations4 Trigonometry5 Quadratic Inequalities6 Differentiation7 Tangents and Normals8 Turning Points9 Integration10 Area11 Matrices12 Logarithms13 Solving Index Equations Using Logarithms14 Logarithms and Log Graphs.Unit 2: Mechanics:15 Displacement and Velocity/Time Graph16 Constant Acceleration17 Newton’s Laws18 Forces19 Vectors20 Friction21 Connected Bodies22 MomentsUnit 3: Statistics:23 Bivariate Analysis24 Measures of Central Tendency and Dispersion25 Probability26 Binomial Distribution27 Normal Distribution.Unit 4: Discrete and Decision Mathematics:28 Counting29 Boolean Algebra30 Linear Programming31 Time Series32 Critical Path Analysis.ANSWERS

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The Language of Mathematics - Raul Rojas

A marvelous compendium of mathematical symbols and their fascinating historiesGalileo famously wrote that the book of nature is written in mathematical language. The Language of Mathematics is a wide-ranging and beautifully illustrated collection of short, colorful histories of the most commonly used symbols in mathematics, providing readers with an engaging introduction to the origins, evolution, and conceptual meaning of each one. In dozens of lively and informative entries, Raúl Rojas shows how today’s mathematics stands on the shoulders of giants, mathematicians from around the world who developed mathematical notation through centuries of collective effort. He tells the stories of such figures as al-Khwarizmi, René Descartes, Joseph-Louis Lagrange, Carl Friedrich Gauss, Augustin-Louis Cauchy, Karl Weierstrass, Sofia Kovalevskaya, David Hilbert, and Kenneth Iverson. Topics range from numbers and variables to sets and functions, constants, and combinatorics. Rojas describes the mathematical problems associated with different symbols and reveals how mathematical notation has sometimes been an accidental process. The entries are self-contained and can be read in any order, each one examining one or two symbols, their history, and the variants they may have had over time. An essential companion for math enthusiasts, The Language of Mathematics shows how mathematics is a living and ... Unknown localization key: "more"

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Mathematical Proofs: A Transition to Advanced Mathematics - Albert Polimeni, Ping Zhang, Gary Chartrand

Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.

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ABCs of Mathematics - Chris Ferrie

Fans of Chris Ferrie's ABCs of Physics, Quantum Physics for Babies, and General Relativity for Babies will love this introduction to mathematics for babies and toddlers!It only takes a small spark to ignite a child's mind. This alphabetical installment of the Baby University baby board book series is the perfect introduction to mathematics for infants and toddlers. It makes a wonderful math baby gift for even the youngest mathematician.Give the gift of learning to your little one at birthdays, baby showers, holidays, and beyond!A is for AdditionB is for BaseC is for ChordFrom addition to zero, ABCs of Mathematics is a colorfully simple introduction for babies-and grownups-to a new math concept for every letter of the alphabet. Written by an expert, each page in this mathematical primer features multiple levels of text so the book grows along with your little mathematician. If you're looking for the perfect STEAM book for teachers, calculus books for babies, or more Baby University books for your little one, look no further! ABCs of Mathematics offers fun early learning for your little mathematician!

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Building Thinking Classrooms in Mathematics, Grades K-12 - Peter Liljedahl

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms ... Unknown localization key: "more"

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Science and Mathematics for Engineering - John Bird

A practical introduction to the engineering science and mathematics required for engineering study and practice.Science and Mathematics for Engineering is an introductory textbook that assumes no prior background in engineering. This new edition covers the fundamental scientific knowledge that all trainee engineers must acquire in order to pass their examinations and has been brought fully in line with the compulsory science and mathematics units in the new engineering course specifications. A new chapter covers present and future ways of generating electricity, an important topic.John Bird focuses upon engineering examples, enabling students to develop a sound understanding of engineering systems in terms of the basic laws and principles. This book includes over 580 worked examples, 1300 further problems, 425 multiple choice questions (with answers), and contains sections covering the mathematics that students will require within their engineering studies, mechanical applications, electrical applications and engineering systems.This book is supported by a companion website of materials that can be found at www.routledge/cw/bird. This resource includes fully worked solutions of all the further problems for students to access, and the full solutions and marking schemes for the revision tests found within the book for instructor use. In addition, all 447 illustrations will be available ... Unknown localization key: "more"

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Playful Mathematics - Helen J. Williams

Nursery World Professional Book of the Year 2022 Children are naturally mathematical in their play. They play with mathematics. Early years’ practitioners often struggle to make mathematics relevant and engaging for their young learners. In their play, children are naturally mathematical yet practitioners are often unsure about how to build on this or how this observed play ‘fits’ in with the mathematics they teach. This Nursery World Award Winning Book: *Empowers early years teachers to see the learning in this play and to remain committed to play based practice *Outlines recent research on how children best learn mathematics *Supports early years practitioners to know why preparation works better than planning and why ′thinking space′ matters more than you think

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The Princeton Companion to Applied Mathematics

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers

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Concise Guide to Medicine & Drugs 7th Edition - DK

The complete home reference to more than 3000 drugs used to treat most major conditions.From how drugs work to practical advice on the uses, side effects, and risks associated with different prescription medicines and over-the-counter drugs, this medicine book explains it all.Inside the pages of Concise Guide to Medicine & Drugs, you''ll find:- Drugs are organised clearly in an A-Z format, with principal drugs groups arranged by body system or disease group- Text-only section on how major drug groups work on the body- Updated Drug Finder index that lists 3,000 generic and brand-name drugs available in the UKClear, concise and jargon-free, this book about medicine offers essential guidance for anyone taking medication and is an ideal quick-reference guide for healthcare professionals and carers. It is also great for anyone wanting to know more about the drugs used in common medical practice.You''ll discover what to do if a dosage is missed or exceeded, specific uses of each drug and the latest detailed information on 270 generic (non-branded) drugs that are widely used. Updated information on travel vaccinations and childhood immunisation schedules help make this an indispensable medical handbook for every household.

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Oxford IB Diploma Programme: IB Course Preparation Mathematics Student Book - Jim Fensom

Directly linked to Oxford''s bestselling DP Mathematics resources, this new Course Preparation resource thoroughly prepares students to meet the demands of IB Diploma Programme Mathematics. Ideal for students who have studied non-IB courses at pre-16 level, the text introduces learners to the IB approach, terminology and skills.The focus of this book is to give students and teachers a solid introduction to the skills and approaches required for their DP Mathematics course. Following the IB DP curriculum and using a skills and concept-based approach this resource will mean that students can begin their DP course with a firm foundation of subject area content. An emphasis will be placed on getting students to make connections to their real world observations so that the learning authentic and applicable outside of the classroom. This book does not replace the course book content for DP but is in line with the latest DP syllabus updates including assessment details, subject terminology and syllabus content. Answers are available online.

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Cambridge International AS & A Level Mathematics Probability & Statistics 1 Question & Workbook - Greg Port

Exam board: Cambridge Assessment International EducationLevel: A LevelSubject: MathematicsFirst teaching: September 2018First exams: Summer 2020Reinforce learning and deepen understanding of the key concepts covered in the latest syllabus; an ideal course companion or homework book for use throughout the course.- Develop and strengthen skills and knowledge with a wealth of additional exercises that perfectly supplement the Student''s Book. - Build confidence with extra practice for each lesson to ensure that a topic is thoroughly understood before moving on. - Ensure students know what to expect with hundreds of rigorous practice and exam-style questions. - Keep track of students'' work with ready-to-go write-in exercises. - Save time with all answers available for free online: www.hoddereducation.co.uk/cambridgeextras.This book covers the syllabus content for Probability and Statistics 1, including representation of data, permutations and combinations, probability, discrete random variables and the normal distribution. This title has not been through the Cambridge Assessment International Education endorsement process.Available in this series:Five textbooks fully covering the latest Cambridge International AS & A Level Mathematics syllabus (9709) are accompanied by a Workbook, and Student and Whiteboard eTextbooks.Pure Mathematics 1: Student Textbook (ISBN 9781510421721), Student eTextbook (ISBN 9781510420762), Whiteboard eTextbook (ISBN 9781510420779), Workbook (ISBN 9781510421844)Pure Mathematics 2 and 3: ... Unknown localization key: "more"

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