Complex Variables: A Physical Approach with Applications

Krantz, Steven G.

Complex Variables: A Physical Approach with Applications
  • 出版商: CRC
  • 出版日期: 2023-01-21
  • 售價: $2,280
  • 貴賓價: 9.5 折 $2,166
  • 語言: 英文
  • 頁數: 378
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032475692
  • ISBN-13: 9781032475691

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

The idea of complex numbers dates back at least 300 years--to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers.

 

This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications.

 

Features:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  • This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis
  • This book has an exceptionally large number of examples and a large number of figures.
  • The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking.
  • Incisive applications appear throughout the book.
  • Partial differential equations are used as a unifying theme.

 

商品描述(中文翻譯)

複數的概念至少可以追溯到300年前，高斯和歐拉等人。如今，複數分析是現代分析思維的核心部分。它被應用於工程學、物理學、數學、天體物理學和許多其他領域。它提供了強大的數學分析工具，並經常產生令人滿意和出乎意料的答案。

本書使複數分析主題對廣大讀者變得易於理解。複數是一種有些神秘的數字系統，似乎突然出現。對學生來說，重要的是要看到這實際上是一組非常具體的對象，具有非常具體和有意義的應用。

特點：

- 這個新版本是一個重大的重寫，著重於複數分析的易於理解、應用和視覺方面。
- 本書具有非常多的例子和圖片。
- 這個主題被呈現為微積分的自然延伸。它不是一種新的語言，也不是一種新的思維方式。
- 敏銳的應用出現在整本書中。
- 偏微分方程被用作統一的主題。

作者簡介

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 130 books and more than 250 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.

作者簡介(中文翻譯)

Steven G. Krantz是華盛頓大學聖路易斯分校的數學教授。他曾在加州大學洛杉磯分校、普林斯頓大學和賓夕法尼亞州立大學任教。他已經撰寫了超過130本書籍和250多篇學術論文，並且是《幾何分析期刊》的創始編輯。作為美國數學學會的會士，Krantz博士曾獲得Chauvenet獎、Beckenbach書籍獎和Kemper獎。他在普林斯頓大學獲得了博士學位。

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