| 书目名称 | Writing Proofs in Analysis | | 编辑 | Jonathan M. Kane | | 视频video | | | 概述 | Teaches how to write proofs by describing what students should be thinking about when faced with writing a proof.Provides proof templates for proofs that follow the same general structure.Blends topic | | 图书封面 |  | | 描述 | 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 exam | | 出版日期 | Textbook 2016 | | 关键词 | Proof writing; Mathematical proofs; Complex Analysis; Fourier Analysis; Functional Analysis; Real Analysi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-30967-5 | | isbn_softcover | 978-3-319-80931-1 | | isbn_ebook | 978-3-319-30967-5 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 19:01:26
