A Primer for Mathematical Analysis
暫譯: 數學分析入門

Borthwick, David

A Primer for Mathematical Analysis
  • 出版商: Springer
  • 出版日期: 2025-08-01
  • 售價: $2,190
  • 貴賓價: 9.5 折 $2,081
  • 語言: 英文
  • 頁數: 119
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 303191712X
  • ISBN-13: 9783031917127
  • 相關分類: 微積分 Calculus

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商品描述

This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps.

商品描述(中文翻譯)

本書簡要介紹實數與複數系統以及度量空間理論。目標是幫助學生彌補本科高級微積分課程與研究生級別分析或相關科目（如微分幾何或機率）的差距。這些學科領域的統一特徵是極限的主導地位，而度量空間理論則是表達極限的數學語言。為了理解研究生級別的分析，學生需要在這種語言中發展流利度。為了促進這一發展，書中融入了練習題，許多關鍵結果以問題的形式呈現。提供了解答以幫助讀者填補任何知識空白。

作者簡介

David Borthwick, Ph.D., is a Professor in the Department of Mathematics at Emory University. He received his Ph.D. in physics from Harvard University in 1993 and has taught mathematics at Emory for over 25 years. His research focuses on mathematical physics, spectral theory, and geometric analysis. He is the author of several books, including Spectral Theory in the Springer GTM series.

作者簡介(中文翻譯)

大衛·博斯威克（David Borthwick），博士，是埃默里大學（Emory University）數學系的教授。他於1993年在哈佛大學（Harvard University）獲得物理學博士學位，並在埃默里大學教授數學超過25年。他的研究專注於數學物理、譜理論（spectral theory）和幾何分析（geometric analysis）。他是多本書籍的作者，包括施普林格（Springer）GTM系列中的《譜理論》（Spectral Theory）。

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