Real Analysis: With Proof Strategies
暫譯: 實變分析：證明策略

Cunningham, Daniel W.

Real Analysis: With Proof Strategies
  • 出版商: CRC
  • 出版日期: 2023-01-09
  • 售價: $1,925
  • 貴賓價: 9.5 折 $1,829
  • 語言: 英文
  • 頁數: 269
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0367549662
  • ISBN-13: 9780367549664

    • 立即出貨 (庫存 < 3)

相關主題

商品描述

Typically, undergraduates see real analysis as one of the most difficult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to find a way to bridge the gap between a student's preparation and the mathematical skills that are required to be successful in such a course.

 

Real Analysis: With Proof Strategies provides a resolution to the "bridging-the-gap problem." The book not only presents the fundamental theorems of real analysis, but also shows the reader how to compose and produce the proofs of these theorems. The detail, rigor, and proof strategies offered in this textbook will be appreciated by all readers.

 

Features

 

 

 

 

  • Explicitly shows the reader how to produce and compose the proofs of the basic theorems in real analysis
  • Suitable for junior or senior undergraduates majoring in mathematics.

商品描述(中文翻譯)

通常，對於數學系的本科生來說，實分析被視為最困難的課程之一。這種看法的主要原因有兩個：學生必須理解新的抽象概念，並學會以以前未曾遇到的嚴謹性和證明的方式處理這些概念。實分析的教師面臨的一個主要挑戰是找到一種方法來彌補學生的準備與在這類課程中成功所需的數學技能之間的差距。

《實分析：證明策略》提供了解決「彌補差距問題」的方案。這本書不僅介紹了實分析的基本定理，還向讀者展示如何撰寫和產出這些定理的證明。本教材所提供的細節、嚴謹性和證明策略將受到所有讀者的讚賞。

特色

- 明確地向讀者展示如何產出和撰寫實分析基本定理的證明
- 適合數學專業的三年級或四年級本科生。

作者簡介

Daniel W. Cunningham is a Professor of Mathematics at SUNY Buffalo State, a campus of the State University of New York. He was born and raised in Southern California and holds a Ph.D. in mathematics from the University of California at Los Angeles (UCLA). He is also a member of the Association for Symbolic Logic, the American Mathematical Society, and the Mathematical Association of America.

Cunningham is the author of multiple books. Before arriving at Buffalo State, Professor Cunningham worked as a software engineer in the aerospace industry

作者簡介(中文翻譯)

丹尼爾·W·坎寧漢是紐約州立大學水牛城分校的數學教授。他在南加州出生和長大，並持有加州大學洛杉磯分校（UCLA）的數學博士學位。他也是符號邏輯協會、美國數學學會和美國數學協會的成員。

坎寧漢是多本書籍的作者。在來到水牛城分校之前，坎寧漢教授曾在航空航天產業擔任軟體工程師。

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