Complex Analysis
暫譯: 複變分析
Bourchtein, Andrei, Bourchtein, Ludmila
- 出版商: Springer
- 出版日期: 2022-02-10
- 售價: $2,860
- 貴賓價: 9.8 折 $2,802
- 語言: 英文
- 頁數: 346
- 裝訂: Quality Paper - also called trade paper
- ISBN: 9811592217
- ISBN-13: 9789811592218
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相關分類:
微積分 Calculus
海外代購書籍(需單獨結帳)
商品描述
The book is aimed at the advanced undergraduate students of mathematics and engineering, as well as those interested in studying complex analysis with a good working knowledge of advanced calculus. The mathematical level of the exposition corresponds to advanced undergraduate courses of mathematical analysis and first graduate introduction to the discipline. The book contains a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic skills and test the understanding of concepts. Other problems are more theoretically oriented and illustrate intricate points of the theory. Many additional problems are proposed as homework tasks whose level ranges from straightforward, but not overly simple, exercises to problems of considerable difficulty but of comparable interest.
商品描述(中文翻譯)
本書討論了複變分析的所有主要主題，從複數的性質開始，直到共形映射基本原理的證明結束。書中涵蓋的主題包括全純函數和解析函數的研究、奇點的分類及其洛朗級數展開、留數理論及其在積分評估中的應用、初等函數的系統性研究、共形映射的分析及其應用，使本書自成體系，讀者無需依賴其他複變數的文本。
本書的目標讀者為數學和工程的高年級本科生，以及對複變分析感興趣且具備良好高級微積分基礎的讀者。書中數學內容的水平對應於高年級本科的數學分析課程及研究生的入門課程。本書包含大量的問題和練習，適合用於課堂教學和自學。每個章節中都包含許多標準練習，以發展基本技能並測試對概念的理解。其他問題則更具理論導向，並闡明理論中的複雜點。還有許多額外的問題作為家庭作業，難度範圍從直接但不過於簡單的練習到相當困難但同樣有趣的問題。
作者簡介
ANDREI BOURCHTEIN is Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. He received his Ph.D. in Mathematics and Physics from the Hydrometeorological Center of Russia. He began his academic and research career as an Associate Professor at Mathematics Institute, Far East State University, Russia, and a Research Scientist at the Hydrometeorological Institute, Russia. In 1995, he joined the Federal University of Pelotas, Brazil, as Associate Professor at the Institute of Physics and Mathematics before being promoted to Full Professor. An author of more than 100 refereed articles and 7 books, Prof. Bourchtein's research interests include real and complex analysis, numerical analysis, computational fluid dynamics and numerical weather prediction. During his research career, he was awarded a number of grants from Brazilian science foundations and scientific societies, including the International Mathematical Union (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).
LUDMILA BOURCHTEIN is Professor Emeritus and Senior Research Scientist at the Institute of Physics and Mathematics, Federal University of Pelotas, Brazil. She received her Ph.D. in Mathematics from Saint Petersburg State University, Russia. During the span of 34 years at the Mathematics Institute, Far East State University, Russia, she held different positions, from Assistant Professor, Associate Professor, to the rank of Full Professor. In the last 15 years, she served as Associate and Full Professor at the Institute of Physics and Mathematics, Federal University of Pelotas, where she was conferred with the title of Emeritus Professor in 2019. An author of more than 80 referred articles and 5 books, her research interests include real and complex analysis, conformal mappings and numerical analysis. During her research career, she was awarded a number of grants of Russian and Brazilian science foundations and scientific societies, including the International Mathematical Union (IMU) and the International Council for Industrial and Applied Mathematics (ICIAM).作者簡介(中文翻譯)
安德烈·布赫廷（ANDREI BOURCHTEIN）是巴西佩洛塔斯聯邦大學物理與數學研究所的教授。他在俄羅斯水文氣象中心獲得數學與物理學博士學位。他的學術與研究生涯始於俄羅斯遠東國立大學數學研究所的副教授及俄羅斯水文氣象研究所的研究科學家。1995年，他加入巴西佩洛塔斯聯邦大學，擔任物理與數學研究所的副教授，後來晉升為正教授。布赫廷教授是超過100篇經過審核的文章和7本書的作者，他的研究興趣包括實數與複數分析、數值分析、計算流體力學及數值天氣預報。在他的研究生涯中，他獲得了來自巴西科學基金會和科學社團的多項獎助金，包括國際數學聯合會（IMU）和國際工業與應用數學理事會（ICIAM）。
盧德米拉·布赫廷（LUDMILA BOURCHTEIN）是巴西佩洛塔斯聯邦大學物理與數學研究所的名譽教授及高級研究科學家。她在俄羅斯聖彼得堡國立大學獲得數學博士學位。在俄羅斯遠東國立大學的數學研究所工作了34年期間，她擔任過不同職位，從助理教授、副教授到正教授。在過去的15年中，她在巴西佩洛塔斯聯邦大學物理與數學研究所擔任副教授和正教授，並於2019年被授予名譽教授稱號。她是超過80篇經過審核的文章和5本書的作者，她的研究興趣包括實數與複數分析、共形映射和數值分析。在她的研究生涯中，她獲得了來自俄羅斯和巴西科學基金會及科學社團的多項獎助金，包括國際數學聯合會（IMU）和國際工業與應用數學理事會（ICIAM）。
