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Introduction to Mathematical Thinking

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 631/5 ( reviews)

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Book Synopsis Introduction to Mathematical Thinking by : Keith J. Devlin

Download or read book Introduction to Mathematical Thinking written by Keith J. Devlin. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.

A First Course in Topology

2014-05-21 Mathematics
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Release : 2014-05-21
Genre : Mathematics
Kind : eBook
Book Rating : 015/5 ( reviews)

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Book Synopsis A First Course in Topology by : Robert A Conover

Download or read book A First Course in Topology written by Robert A Conover. This book was released on 2014-05-21. Available in PDF, EPUB and Kindle. Book excerpt: Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text. Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975. See every Dover book in print at www.doverpublications.com

An Introduction to Mathematical Reasoning

1997-12-11 Mathematics
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Release : 1997-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 180/5 ( reviews)

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Book Synopsis An Introduction to Mathematical Reasoning by : Peter J. Eccles

Download or read book An Introduction to Mathematical Reasoning written by Peter J. Eccles. This book was released on 1997-12-11. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. Over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.

An Introduction to Mathematical Thinking

2005 Algebraic logic
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Release : 2005
Genre : Algebraic logic
Kind : eBook
Book Rating : 689/5 ( reviews)

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Book Synopsis An Introduction to Mathematical Thinking by : William J. Gilbert

Download or read book An Introduction to Mathematical Thinking written by William J. Gilbert. This book was released on 2005. Available in PDF, EPUB and Kindle. Book excerpt: Besides giving readers the techniques for solving polynomial equations and congruences, An Introduction to Mathematical Thinking provides preparation for understanding more advanced topics in Linear and Modern Algebra, as well as Calculus. This book introduces proofs and mathematical thinking while teaching basic algebraic skills involving number systems, including the integers and complex numbers. Ample questions at the end of each chapter provide opportunities for learning and practice; the Exercises are routine applications of the material in the chapter, while the Problems require more ingenuity, ranging from easy to nearly impossible. Topics covered in this comprehensive introduction range from logic and proofs, integers and diophantine equations, congruences, induction and binomial theorem, rational and real numbers, and functions and bijections to cryptography, complex numbers, and polynomial equations. With its comprehensive appendices, this book is an excellent desk reference for mathematicians and those involved in computer science.

Distilling Ideas

2021-09-01 Mathematics
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Release : 2021-09-01
Genre : Mathematics
Kind : eBook
Book Rating : 809/5 ( reviews)

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Book Synopsis Distilling Ideas by : Brian P. Katz

Download or read book Distilling Ideas written by Brian P. Katz. This book was released on 2021-09-01. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is not a spectator sport; successful students of mathematics grapple with ideas for themselves. Distilling Ideas presents a carefully designed sequence of exercises and theorem statements that challenge students to create proofs and concepts. As students meet these challenges, they discover strategies of proofs and strategies of thinking beyond mathematics. In other words, Distilling Ideas helps its users to develop the skills, attitudes, and habits of mind of a mathematician, and to enjoy the process of distilling and exploring ideas. Distilling Ideas is an ideal textbook for a first proof-based course. The text engages the range of students' preferences and aesthetics through a corresponding variety of interesting mathematical content from graphs, groups, and epsilon-delta calculus. Each topic is accessible to users without a background in abstract mathematics because the concepts arise from asking questions about everyday experience. All the common proof structures emerge as natural solutions to authentic needs. Distilling Ideas or any subset of its chapters is an ideal resource either for an organized Inquiry Based Learning course or for individual study.

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