A First Course in Ergodic Theory

Dajani, Karma, Kalle, Charlene

A First Course in Ergodic Theory

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)

《遍歷理論初級課程》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們自1990年代以來教授該科目的筆記開發而成。多年來，他們從各種來源中添加了主題、定理、例子和解釋。結果是一本易於教學和學習的書籍，只需要最低限度的先備知識。

特點：
- 適合只具備基本的測度論、一些拓撲學和非常基本的泛函分析知識的讀者
- 非常適合作為遍歷理論課程的主要教科書
- 當介紹新的性質時，例子會被詳細描述和研究

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在美國華盛頓特區的喬治華盛頓大學獲得博士學位，目前是荷蘭烏特勒支大學的副教授。她擁有超過30年的教學經驗，近60篇論文發表，並是書籍《數論的遞歸理論》的合著者。她的研究興趣主要集中在遞歸理論及其在其他領域（如數論、概率論和符號動力學）中的應用。儘管數學是她的職業，但也是她三個熱情之一：數學、舞蹈和古典音樂。

Charlene Kalle在荷蘭烏特勒支大學獲得數學博士學位。在華威大學和維也納大學的博士後職位後，她轉到萊頓大學，現在是該校的助理教授。她的研究領域是遞歸理論，並應用於概率論。她還對數論和分形幾何學的關聯性感興趣。她曾獲得荷蘭科學研究委員會NWO的兩項重要研究資助。除了發表二十篇研究論文外，她還合著了一本關於課外高中數學的書籍。她累積了二十年的教學經驗，從教授成人義大利語到講授碩士課程數學。她在數學以外的時間主要用於照顧三個孩子和打橋牌。

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