Proofs Without Words

Proofs Without Words
Title Proofs Without Words PDF eBook
Author Roger B. Nelsen
Publisher MAA
Pages 166
Release 1993
Genre Logic, Symbolic and mathematical
ISBN 9780883857007

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Proofs Without Words II

Proofs Without Words II
Title Proofs Without Words II PDF eBook
Author Roger B. Nelsen
Publisher American Mathematical Soc.
Pages 130
Release 2020-02-22
Genre Mathematics
ISBN 1470451891

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Like its predecessor, Proofs without Words, this book is a collection of pictures or diagrams that help the reader see why a particular mathematical statement may be true and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought. The proofs in this collection are arranged by topic into five chapters: geometry and algebra; trigonometry, calculus and analytic geometry; inequalities; integer sums; and sequences and series. Teachers will find that many of the proofs in this collection are well suited for classroom discussion and for helping students to think visually in mathematics.

Proofs Without Words III

Proofs Without Words III
Title Proofs Without Words III PDF eBook
Author Roger B. Nelsen
Publisher American Mathematical Soc.
Pages 187
Release 2015-12-31
Genre Mathematics
ISBN 0883857901

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Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.

Book of Proof

Book of Proof
Title Book of Proof PDF eBook
Author Richard H. Hammack
Publisher
Pages 314
Release 2016-01-01
Genre Mathematics
ISBN 9780989472111

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Proofs Without Words III

Proofs Without Words III
Title Proofs Without Words III PDF eBook
Author Roger B. Nelsen
Publisher American Mathematical Soc.
Pages 187
Release 2015-12-31
Genre Mathematics
ISBN 1614441219

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Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.

How to Prove It

How to Prove It
Title How to Prove It PDF eBook
Author Daniel J. Velleman
Publisher Cambridge University Press
Pages 401
Release 2006-01-16
Genre Mathematics
ISBN 0521861241

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Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Proofs from THE BOOK

Proofs from THE BOOK
Title Proofs from THE BOOK PDF eBook
Author Martin Aigner
Publisher Springer Science & Business Media
Pages 194
Release 2013-06-29
Genre Mathematics
ISBN 3662223430

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According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.