Ramanujan's Theta Functions
暫譯: 拉馬努金的θ函數

Name: Ramanujan's Theta Functions
Price: 6650 TWD
Availability: OnlineOnly
Author: Cooper, Shaun
ISBN: 3319858432

Cooper, Shaun

出版商: Springer
出版日期: 2018-08-02
售價: $7,000
貴賓價: 9.5 折 $6,650
語言: 英文
頁數: 687
裝訂: Quality Paper - also called trade paper
ISBN: 3319858432
ISBN-13: 9783319858432
相關分類: 數學

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商品描述

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan's results and extends them to a general theory. The author's treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research.

Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

商品描述(中文翻譯)

Theta 函數是由拉馬努金（Ramanujan）廣泛研究的主題。本書系統性地發展了拉馬努金的結果，並將其擴展到一般理論。作者對該主題的處理非常全面，詳細研究了最高達 12 級的 theta 函數和模形式（modular forms）。本書針對高年級本科生、研究生和研究人員，組織結構清晰、易於理解的呈現方式以及豐富的範例，使本書成為有用的參考資料、教學工具以及進一步研究的激勵。

本書後半部分討論的主題，特別是最近的許多研究成果，許多內容首次以書籍形式出現。每章結尾的眾多練習題總結了進一步的結果。

作者簡介

Shaun Cooper received a PhD in Mathematics from the University of Wisconsin at Madison in 1995 and has worked at Massey University in New Zealand ever since. He was a visiting Assistant Professor at the University of Minnesota for one semester in 2000, and has spent 12 months each at the National University of Singapore (2007/8) and the University of Newcastle, Australia (2015/16). He is the author of approximately 70 refereed journal articles and edited the book Development of Elliptic Functions According to Ramanujan.

作者簡介(中文翻譯)

肖恩·庫珀（Shaun Cooper）於1995年在威斯康辛大學麥迪遜分校獲得數學博士學位，並自此在紐西蘭的梅西大學（Massey University）工作。他在2000年曾擔任明尼蘇達大學的訪問助理教授一學期，並在新加坡國立大學（National University of Singapore，2007/8）和澳大利亞紐卡索大學（University of Newcastle，2015/16）各花了一年時間。他是約70篇經過審核的期刊文章的作者，並編輯了書籍《根據拉馬努詩發展橢圓函數》（Development of Elliptic Functions According to Ramanujan）。