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Author : Roger B. Nelsen
Release : 1993
Genre : Logic, Symbolic and mathematical
Kind : eBook
Book Rating : 007/5 ( reviews)
Book Synopsis Proofs Without Words by : Roger B. Nelsen
Download or read book Proofs Without Words written by Roger B. Nelsen. This book was released on 1993. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger B. Nelsen
Release : 2020-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 891/5 ( reviews)
Book Synopsis Proofs Without Words II by : Roger B. Nelsen
Download or read book Proofs Without Words II written by Roger B. Nelsen. This book was released on 2020-02-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Roger B. Nelsen
Release : 2015-12-31
Genre : Mathematics
Kind : eBook
Book Rating : 901/5 ( reviews)
Book Synopsis Proofs Without Words III by : Roger B. Nelsen
Download or read book Proofs Without Words III written by Roger B. Nelsen. This book was released on 2015-12-31. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Claudi Alsina
Release : 2006-07-06
Genre : Education
Kind : eBook
Book Rating : 465/5 ( reviews)
Book Synopsis Math Made Visual by : Claudi Alsina
Download or read book Math Made Visual written by Claudi Alsina. This book was released on 2006-07-06. Available in PDF, EPUB and Kindle. Book excerpt: The object of this book is to show how visualization techniques may be employed to produce pictures that have interest for the creation, communication and teaching of mathematics. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece and India but only in the last thirty years has there been a growing interest in so-called 'proofs without words.' In this book the authors show that behind most of the pictures 'proving' mathematical relations are some well-understood methods. The first part of the book consists of twenty short chapters, each one describing a method to visualize some mathematical idea (a proof, a concept, an operation,...) and several applications to concrete cases. Following this the book examines general pedagogical considerations concerning the development of visual thinking, practical approaches for making visualizations in the classroom and a discussion of the role that hands-on material plays in this process.
Author : Daniel J. Velleman
Release : 2006-01-16
Genre : Mathematics
Kind : eBook
Book Rating : 241/5 ( reviews)
Book Synopsis How to Prove It by : Daniel J. Velleman
Download or read book How to Prove It written by Daniel J. Velleman. This book was released on 2006-01-16. Available in PDF, EPUB and Kindle. Book excerpt: 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.
