Very First Steps in Random Walks: The Power of Combinatorial Methods and Generating Functions
暫譯: 隨機漫步的最初步驟:組合方法與生成函數的力量
Henze, Norbert
- 出版商: Springer
- 出版日期: 2025-02-12
- 售價: $2,610
- 貴賓價: 9.5 折 $2,480
- 語言: 英文
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3658463120
- ISBN-13: 9783658463120
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商品描述
With this book, which is based on the third edition of a book first written in German about random walks, the author succeeds in a remarkably playful manner in captivating the reader with numerous surprising random phenomena and non-standard limit theorems related to simple random walks and related topics. The work stands out with its consistently problem-oriented, lively presentation, which is further enhanced by 100 illustrative images. The text includes 53 self-assessment questions, with answers provided at the end of each chapter.
Additionally, 74 exercises with solutions assist in understanding the material deeply. The text frequently engages in concrete model-building, and the resulting findings are thoroughly discussed and interconnected. Students who have tested this work in introductory seminars on stochastics were particularly fascinated by the interplay of geometric arguments (reflection principle), combinatorics, elementary stochastics, and analysis.
This book is a translation of an original German edition. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation.
商品描述(中文翻譯)
這本書基於最初以德文撰寫的隨機漫步第三版,作者以相當有趣的方式吸引讀者,介紹了許多驚人的隨機現象和與簡單隨機漫步及相關主題有關的非標準極限定理。這部作品以其持續以問題為導向的生動呈現而脫穎而出,並且配有100幅插圖進一步增強了內容的吸引力。文本中包含53個自我評估問題,答案在每章的結尾提供。
此外,74個帶解答的練習題有助於深入理解材料。文本經常進行具體的模型建構,並對所得到的發現進行徹底的討論和相互聯繫。參加隨機過程入門研討會的學生對幾何論證(反射原理)、組合學、初等隨機學和分析之間的相互作用特別著迷。
這本書是原德文版的翻譯。翻譯是借助人工智慧完成的,隨後進行了人為的修訂,主要針對內容,因此這本書的風格將與傳統翻譯有所不同。
作者簡介
Prof. Dr. Norbert Henze is a Professor of Stochastics at the Karlsruhe Institute of Technology (KIT), Institute of Stochastics, Karlsruhe, Germany. His well-established textbook Stochastics for Beginners (Stochastik für Einsteiger) was first published in 1997.
作者簡介(中文翻譯)
教授 Norbert Henze 是德國卡爾斯魯厄理工學院 (Karlsruhe Institute of Technology, KIT) 隨機過程研究所的隨機過程教授。他的經典教科書 Stochastics for Beginners(隨機過程入門)於1997年首次出版。