How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


How to Think Like a Mathematician: A Companion to Undergraduate Mathematics

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Kevin Houston 作者
Cambridge University Press
譯者
February 23, 2009 出版日期
278 頁數
$85.00 價格
Hardcover
叢書系列
9780521895460 圖書編碼

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How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 著者簡介


How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 著者簡介


How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics 在線電子書 圖書描述

Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. 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.

Review

"In this book, Houston has created a primer on the fundamental abstract ideas of mathematics; the primary emphasis is on demonstrating the many principles and tactics used in proofs. The material is explained in ways that are comprehensible, which will be a great help for people who seem to hit the wall regarding what to do when confronted with the creation of a proof... In this book, Houston takes a systematic and gentle approach to explaining the ideas of mathematics and how tactics of reasoning can be combined with those ideas to generate what would be considered a convincing proof."

Charles Ashbacher, Journal of Recreational Mathematics

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