Understanding Mathematical Proof - John Taylor - 書籍 - Taylor & Francis Inc - 9781466514904 - 2014年3月21日
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John Taylor
Understanding Mathematical Proof 第1 版

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The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.

Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techniques that mathematicians adopt to prove their results, and offers advice and strategies for constructing proofs. It will improve students' ability to understand proofs and construct correct proofs of their own.

The first chapter of the text introduces the kind of reasoning that mathematicians use when writing their proofs and gives some example proofs to set the scene. The book then describes basic logic to enable an understanding of the structure of both individual mathematical statements and whole mathematical proofs. It also explains the notions of sets and functions and dissects several proofs with a view to exposing some of the underlying features common to most mathematical proofs. The remainder of the book delves further into different types of proof, including direct proof, proof using contrapositive, proof by contradiction, and mathematical induction. The authors also discuss existence and uniqueness proofs and the role of counter examples.

414 pages, 62 black & white illustrations, 11 black & white tables

メディア 書籍     Paperback Book   (ソフトカバーで背表紙を接着した本)
リリース済み 2014年3月21日
ISBN13 9781466514904
出版社 Taylor & Francis Inc
ページ数 414
寸法 158 × 232 × 19 mm   ·   590 g
言語 英語  

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