A First Course in Ergodic Theory
暫譯: 初級遍歷理論課程
Dajani, Karma, Kalle, Charlene
- 出版商: CRC
- 出版日期: 2023-07-24
- 售價: $2,400
- 貴賓價: 9.5 折 $2,280
- 語言: 英文
- 頁數: 254
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1032021845
- ISBN-13: 9781032021843
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相關分類:
數值分析 Numerical-analysis、機率統計學 Probability-and-statistics
海外代購書籍(需單獨結帳)
商品描述
A First Course in Ergodic Theory provides readers with an introductory course in Ergodic Theory. This textbook has been developed from the authors' own notes on the subject, which they have been teaching since the 1990s. Over the years they have added topics, theorems, examples and explanations from various sources. The result is a book that is easy to teach from and easy to learn from - designed to require only minimal prerequisites.
Features
- Suitable for readers with only a basic knowledge of measure theory, some topology and a very basic knowledge of functional analysis
- Perfect as the primary textbook for a course in Ergodic Theory
- Examples are described and are studied in detail when new properties are presented.
商品描述(中文翻譯)
《初探遍歷理論》為讀者提供了一門遍歷理論的入門課程。這本教科書是根據作者自1990年代以來教授該主題的筆記所發展而成。多年來，他們從各種來源添加了主題、定理、範例和解釋。最終的結果是一本易於教學和學習的書籍，設計上只需最少的先備知識。
特點
- 適合僅具備基本測度理論、一些拓撲學及非常基本的泛函分析知識的讀者
- 作為遍歷理論課程的主要教科書非常合適
- 當介紹新性質時，範例會被詳細描述並進行研究。
作者簡介
Karma Dajani earned her PhD degree from the George Washington University in DC and is currently an Associate Professor in Mathematics at Utrecht University in the Netherlands. She has over 30 years of teaching experience, close to 60 publications and is the co-author of the book Ergodic Theory of Numbers. Her research interests are primarily in Ergodic Theory and its applications to other fields such as Number Theory, Probability Theory and Symbolic Dynamics. Although Mathematics is her career but it is also one of her three passions: math, dance and classical music.
Charlene Kalle earned her PhD in mathematics from Utrecht University. After postdoctoral positions at Warwick University and the University of Vienna, she moved to Leiden University where she is now an Assistant Professor in Mathematics. Her research is in ergodic theory with applications to probability theory. She is also interested in relations to number theory and fractal geometry. She was awarded two prestigious research grants from the Dutch Research Council NWO. Besides twenty research articles, she has co-authored a book on extracurricular high school mathematics. She has accumulated twenty years of teaching experience ranging from teaching Italian language to adults to lecturing master courses in mathematics. She mostly devotes her time not spent on mathematics to her three children and playing bridge.
作者簡介(中文翻譯)
Karma Dajani 於喬治華盛頓大學（George Washington University）獲得博士學位，目前是荷蘭烏特勒支大學（Utrecht University）數學系的副教授。她擁有超過30年的教學經驗，發表了近60篇論文，並共同撰寫了書籍 Ergodic Theory of Numbers。她的研究興趣主要集中在遍歷理論（Ergodic Theory）及其在其他領域的應用，如數論（Number Theory）、概率論（Probability Theory）和符號動力學（Symbolic Dynamics）。雖然數學是她的職業，但它也是她三大熱情之一：數學、舞蹈和古典音樂。
Charlene Kalle 於烏特勒支大學獲得數學博士學位。在華威大學（Warwick University）和維也納大學（University of Vienna）擔任博士後研究員後，她移至萊頓大學（Leiden University），目前是數學系的助理教授。她的研究專注於遍歷理論，並應用於概率論。她也對數論和分形幾何有興趣。她獲得了荷蘭研究理事會（Dutch Research Council NWO）兩項著名的研究獎助金。除了二十篇研究文章外，她還共同撰寫了一本關於課外高中數學的書籍。她擁有二十年的教學經驗，涵蓋從教授成人意大利語到講授數學碩士課程。她大部分的時間不在數學上，則用於照顧她的三個孩子和打橋牌。
