Book picks similar to
Infinite Dimensional Analysis: A Hitchhiker's Guide by Charalambos D. Aliprantis
mathematics
math
other-mathematics
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Teaching Students Who are Exceptional, Diverse, and at Risk in the General Education Classroom [with MyEducationLab Code]
Sharon R. Vaughn - 1996
From students with disabilities, culturally diverse students, and students with limited English proficiency to economically disadvantaged students this text provides teachers with the tools they need in their diverse classrooms. Revised to reflect the most current research, terminology and teaching practices, the strength of this text continues to be its numerous learning activities and sample lessons addressing both elementary and secondary classrooms. This edition continues its very popular multi- chapter unit on curriculum adaptations with specific strategies and activities for teaching reading, writing, and mathematics. With a new chapter on Response to Intervention and Progress Monitoring and full integration of the RTI framework, and the increase emphasis on middle and secondary students, this text continues its reign as an outstanding resource for all general education teachers. 0131381253 / 9780131381254 Teaching Students Who are Exceptional, Diverse, and at Risk in the General Education Classroom (with MyEducationLab) Package consists of 0135140870 / 9780135140871 MyEducationLab -- Access Card 0137151799 / 9780137151790 Teaching Students Who are Exceptional, Diverse, and at Risk in the General Education Classroom
Solving Mathematical Problems: A Personal Perspective
Terence Tao - 2006
Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
Measurement
Paul Lockhart - 2012
An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work."
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds
Jeffrey R. Weeks - 1985
Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.
Calculus with Analytic Geometry
Howard Anton - 1980
This popular student textbook has been revised and updated in order to provide clear explanations of the subject matter, permitting more classroom time to be spent in problem solving, applications or explanations of the most difficult points.
Topology
James R. Munkres - 1975
Includes many examples and figures. GENERAL TOPOLOGY. Set Theory and Logic. Topological Spaces and Continuous Functions. Connectedness and Compactness. Countability and Separation Axioms. The Tychonoff Theorem. Metrization Theorems and paracompactness. Complete Metric Spaces and Function Spaces. Baire Spaces and Dimension Theory. ALGEBRAIC TOPOLOGY. The Fundamental Group. Separation Theorems. The Seifert-van Kampen Theorem. Classification of Surfaces. Classification of Covering Spaces. Applications to Group Theory. For anyone needing a basic, thorough, introduction to general and algebraic topology and its applications.
Applied Multivariate Statistical Analysis
Richard A. Johnson - 1982
of Wisconsin-Madison) and Wichern (Texas A&M U.) present the newest edition of this college text on the statistical methods for describing and analyzing multivariate data, designed for students who have taken two or more statistics courses. The fifth edition includes the addition of seve
Linear Algebra Done Right
Sheldon Axler - 1995
The novel approach taken here banishes determinants to the end of the book and focuses on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space (or an odd-dimensional real vector space) has an eigenvalue. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition includes a new section on orthogonal projections and minimization problems. The sections on self-adjoint operators, normal operators, and the spectral theorem have been rewritten. New examples and new exercises have been added, several proofs have been simplified, and hundreds of minor improvements have been made throughout the text.
Fundamentals of Corporate Finance
Richard A. Brealey - 1995
This author team is known for their outstanding research, teaching efforts, and world-renowned finance textbooks, so it's no surprise that they provide clear exposition of difficult material without sacrificing up-to-date, technically correct treatments. The seventh edition has been fully updated to reflect recent events and is now available with Connect Finance! Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, and how they need it, so that your class time is more engaging and effective.
The Principles of Mathematics
Bertrand Russell - 1903
Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.
Prisoner's Dilemma: John von Neumann, Game Theory, and the Puzzle of the Bomb
William Poundstone - 1992
Though the answers may seem simple, their profound implications make the prisoner's dilemma one of the great unifying concepts of science. Watching players bluff in a poker game inspired John von Neumann--father of the modern computer and one of the sharpest minds of the century--to construct game theory, a mathematical study of conflict and deception. Game theory was readily embraced at the RAND Corporation, the archetypical think tank charged with formulating military strategy for the atomic age, and in 1950 two RAND scientists made a momentous discovery.Called the prisoner's dilemma, it is a disturbing and mind-bending game where two or more people may betray the common good for individual gain. Introduced shortly after the Soviet Union acquired the atomic bomb, the prisoner's dilemma quickly became a popular allegory of the nuclear arms race. Intellectuals such as von Neumann and Bertrand Russell joined military and political leaders in rallying to the preventive war movement, which advocated a nuclear first strike against the Soviet Union. Though the Truman administration rejected preventive war the United States entered into an arms race with the Soviets and game theory developed into a controversial tool of public policy--alternately accused of justifying arms races and touted as the only hope of preventing them.A masterful work of science writing, Prisoner's Dilemma weaves together a biography of the brilliant and tragic von Neumann, a history of pivotal phases of the cold war, and an investigation of game theory's far-reaching influence on public policy today. Most important, Prisoner's Dilemma is the incisive story of a revolutionary idea that has been hailed as a landmark of twentieth-century thought.
How to Think Like a Mathematician
Kevin Houston - 2009
Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician.
Doing a Literature Review in Health and Social Care: A Practical Guide
Helen Aveyard - 2007
Most undergraduates have to undertake some form of literature review which may be daunting, this book explains it in an clear, easy to understand format. Explanations are given as to why undertaking a literature review is undertaken. Summery sections at the end of each chapter allow the reader to reflect on what they have just read, allowing the information to sink in. This book should be on every university's recommended reading list." Kerry Davis, Student Nurse, University Campus Suffolk, UK" ""This book is fantastic! It gives a clear, concise guide to carrying out a literature review, which is of course a widely used formative assessment technique in a nursing program ... (it includes) in depth explanations and reasons as to how and why it is important to do a literature review ... the summary section at the end of each chapter is excellent, and allows the reader to review their understanding of what they're just read. Overall an excellent book which is a must for any student nurse!" Gem Smith, Student Nurse, Northumbria University, UK"""This book is superb. It explains the entire process of writing a literature review very clearly ... extremely helpful as the prospect of reviewing literature can be quite daunting." Vicky Bain, Student Nurse, University of Nottingham, UK"A comprehensive, easy to read guide which will help students to understand how to undertake a literature review, and how to use the resultant information effectively." Anne-Marie Warnes, University of Central Lancashire, UK"As a student, currently writing a literature review, I found this an extremely helpful book, which is invaluable in demystifying some of the more challenging elements, while at the same time providing clear, simple, appealing and appropriate guidance. This is a must have for undergraduate nursing students, and indeed all healthcare students embarking on such projects." Audrey Grace, Trinity College Dublin, Dublin, Ireland"This bestselling book is a step-by-step guide to doing a literature review in health and social care. It is vital reading for all those undertaking their undergraduate or postgraduate dissertation or any research module which involves a literature review.The new edition has been fully updated and provides a practical guide to the different types of literature that you may come across when undertaking a literature review. It includes: Examples of commonly occurring real life scenarios encountered by students Emphasis on the importance of setting a question at the very start of the project Advice on how to follow a clearly defined search strategy Details of a wide range of critical appraisal tools "Doing a Literature Review in Health and Social Care 2/e" is essential reading for students at all levels within the health and social care field - and a useful text for anyone new to reviewing and appraising evidence.
Damned Lies and Statistics: Untangling Numbers from the Media, Politicians, and Activists
Joel Best - 1998
But all too often, these numbers are wrong. This book is a lively guide to spotting bad statistics and learning to think critically about these influential numbers. Damned Lies and Statistics is essential reading for everyone who reads or listens to the news, for students, and for anyone who relies on statistical information to understand social problems.Joel Best bases his discussion on a wide assortment of intriguing contemporary issues that have garnered much recent media attention, including abortion, cyberporn, homelessness, the Million Man March, teen suicide, the U.S. census, and much more. Using examples from the New York Times, the Washington Post, and other major newspapers and television programs, he unravels many fascinating examples of the use, misuse, and abuse of statistical information.In this book Best shows us exactly how and why bad statistics emerge, spread, and come to shape policy debates. He recommends specific ways to detect bad statistics, and shows how to think more critically about "stat wars," or disputes over social statistics among various experts. Understanding this book does not require sophisticated mathematical knowledge; Best discusses the most basic and most easily understood forms of statistics, such as percentages, averages, and rates.This accessible book provides an alternative to either naively accepting the statistics we hear or cynically assuming that all numbers are meaningless. It shows how anyone can become a more intelligent, critical, and empowered consumer of the statistics that inundate both the social sciences and our media-saturated lives.
Fractals: A Very Short Introduction
Kenneth Falconer - 2013
In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the twentieth century, and explores the wide range of applications in science, and in aspects of economics.About the Series: Oxford's Very Short Introductions series offers concise and original introductions to a wide range of subjects--from Islam to Sociology, Politics to Classics, Literary Theory to History, and Archaeology to the Bible. Not simply a textbook of definitions, each volume in this series provides trenchant and provocative--yet always balanced and complete--discussions of the central issues in a given discipline or field. Every Very Short Introduction gives a readable evolution of the subject in question, demonstrating how the subject has developed and how it has influenced society. Eventually, the series will encompass every major academic discipline, offering all students an accessible and abundant reference library. Whatever the area of study that one deems important or appealing, whatever the topic that fascinates the general reader, the Very Short Introductions series has a handy and affordable guide that will likely prove indispensable.