Writing Proofs in Analysis

Writing Proofs in Analysis
Author :
Publisher : Springer
Total Pages : 364
Release :
ISBN-10 : 9783319309675
ISBN-13 : 3319309676
Rating : 4/5 (676 Downloads)

Book Synopsis Writing Proofs in Analysis by : Jonathan M. Kane

Download or read book Writing Proofs in Analysis written by Jonathan M. Kane and published by Springer. This book was released on 2016-05-28 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Writing Proofs in Analysis Related Books

An Introduction to Proof through Real Analysis
Language: en
Pages: 450
Authors: Daniel J. Madden
Categories: Education
Type: BOOK - Published: 2017-09-12 - Publisher: John Wiley & Sons

GET EBOOK

An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis A mathematical proof is an inferential argument for a mathe
Ordinal Analysis with an Introduction to Proof Theory
Language: en
Pages: 327
Authors: Toshiyasu Arai
Categories: Philosophy
Type: BOOK - Published: 2020-08-11 - Publisher: Springer Nature

GET EBOOK

This book provides readers with a guide to both ordinal analysis, and to proof theory. It mainly focuses on ordinal analysis, a research topic in proof theory t
Proof Analysis
Language: en
Pages: 279
Authors: Sara Negri
Categories: Mathematics
Type: BOOK - Published: 2011-09-29 - Publisher: Cambridge University Press

GET EBOOK

This book continues from where the authors' previous book, Structural Proof Theory, ended. It presents an extension of the methods of analysis of proofs in pure
Mathematical Analysis and Proof
Language: en
Pages: 266
Authors: David S G Stirling
Categories: Mathematics
Type: BOOK - Published: 2009-05-14 - Publisher: Horwood Publishing

GET EBOOK

This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning wi
Analysis with an Introduction to Proof
Language: en
Pages: 366
Authors: Steven R. Lay
Categories: Mathematics
Type: BOOK - Published: 2013-10-03 - Publisher: Pearson Higher Ed

GET EBOOK

For courses in undergraduate Analysis and Transition to Advanced Mathematics. Analysis with an Introduction to Proof, Fifth Edition helps fill in the groundwork