Writing Proofs in Analysis is popular PDF and ePub book, written by Jonathan M. Kane in 2016-05-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Writing Proofs in Analysis can be Read Online from any device for your convenience.
Writing Proofs in Analysis Book PDF Summary
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 textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand.
Detail Book of Writing Proofs in Analysis PDF
- Author : Jonathan M. Kane
- Release : 28 May 2016
- Publisher : Springer
- ISBN : 9783319309675
- Genre : Mathematics
- Total Page : 347 pages
- Language : English
- PDF File Size : 7,5 Mb
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