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Writing Proofs in Analysis

Jonathan M. Kane




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 | #919724 in Books |  2016-05-29 | Original language:English | PDF # 1 |  9.20 x1.00 x6.20l,.0 | File type: PDF | 347 pages

|| |“Its objective is to make the reader understand the thought processes behind the proofs. In this it succeeds admirable, and then book should be in every mathematical library, public and private. … The book is excellently produced with many coloure

This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this...

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