Complex Analysis (Paperback)
暫譯: 複變函數論 (平裝本)
Theodore W. Gamelin
- 出版商: Springer
- 出版日期: 2001-05-18
- 售價: $2,860
- 貴賓價: 9.5 折 $2,717
- 語言: 英文
- 頁數: 480
- 裝訂: Paperback
- ISBN: 0387950699
- ISBN-13: 9780387950693
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商品描述
An introduction to complex analysis for students with some knowledge of complex numbers from high school. It contains sixteen chapters, the first eleven of which are aimed at an upper division undergraduate audience. The remaining five chapters are designed to complete the coverage of all background necessary for passing PhD qualifying exams in complex analysis. Topics studied include Julia sets and the Mandelbrot set, Dirichlet series and the prime number theorem, and the uniformization theorem for Riemann surfaces, with emphasis placed on the three geometries: spherical, euclidean, and hyperbolic. Throughout, exercises range from the very simple to the challenging. The book is based on lectures given by the author at several universities, including UCLA, Brown University, La Plata, Buenos Aires, and the Universidad Autonomo de Valencia, Spain.
商品描述(中文翻譯)
本書是為具備高中複數知識的學生介紹複雜分析。全書共十六章,前十一章針對高年級本科生,後五章則旨在涵蓋通過複雜分析博士資格考試所需的所有背景知識。所研究的主題包括朱利亞集(Julia sets)和曼德布羅特集(Mandelbrot set)、狄利克雷級數(Dirichlet series)和質數定理(prime number theorem),以及黎曼曲面(Riemann surfaces)的統一化定理(uniformization theorem),並強調三種幾何:球面幾何(spherical)、歐幾里得幾何(euclidean)和雙曲幾何(hyperbolic)。全書的練習題從非常簡單到具有挑戰性不等。本書基於作者在多所大學(包括加州大學洛杉磯分校、布朗大學、阿根廷拉普拉塔大學及西班牙瓦倫西亞自治大學)所授課的內容。