Causality: The P-Adic Theory
暫譯: 因果性:P-進數理論
Anashin, Vladimir
- 出版商: Springer
- 出版日期: 2025-04-25
- 售價: $7,780
- 貴賓價: 9.5 折 $7,391
- 語言: 英文
- 頁數: 413
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031858174
- ISBN-13: 9783031858178
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商品描述
This book delves into the mathematical theory of causal functions over discrete time, offering a fresh perspective on causality beyond its philosophical roots. By exploring the intricate world of p-adic 1-Lipschitz functions, this volume bridges the gap between abstract mathematical concepts and their practical applications in fields such as automata theory, combinatorics, and applied computer science.
Readers will uncover a wealth of insights as the book investigates key topics including the nature of causal functions, the role of discrete time in causality, and the application of non-Archimedean metrics. With contributions from eminent scholars, this work invites readers to ponder critical questions: How do we define causality in mathematical terms? What are the implications of using p-adic analysis in understanding complex systems especially quantum ones? The author's unique approach makes this book an essential read for anyone interested in the intersection of mathematics and real-world applications.
Ideal for researchers and practitioners with a background in mathematics, computer science, or physics, this book is a valuable resource for those seeking to deepen their understanding of causal functions. Whether you're a scholar exploring theoretical perspectives or a professional looking to apply these concepts practically, this volume offers a comprehensive guide to navigating the complexities of causality. Part of an ongoing series on advanced mathematical theories, it is an indispensable addition to any academic library.
商品描述(中文翻譯)
這本書深入探討離散時間的因果函數數學理論,提供了一種超越其哲學根源的因果性新視角。通過探索 p-adic 1-Lipschitz 函數的複雜世界,本書彌合了抽象數學概念與其在自動機理論、組合數學和應用計算機科學等領域的實際應用之間的鴻溝。
讀者將發現豐富的見解,因為本書調查了包括因果函數的本質、離散時間在因果性中的角色以及非阿基米德度量的應用等關鍵主題。這部作品由著名學者貢獻,邀請讀者思考一些重要問題:我們如何用數學術語定義因果性?在理解複雜系統,特別是量子系統時,使用 p-adic 分析的含義是什麼?作者獨特的方法使這本書成為任何對數學與現實應用交集感興趣的讀者必讀的作品。
本書非常適合具有數學、計算機科學或物理背景的研究人員和實踐者,是希望加深對因果函數理解的寶貴資源。無論您是探索理論觀點的學者,還是希望將這些概念實際應用的專業人士,本書都提供了一個全面的指南,幫助您駕馭因果性的複雜性。作為一個持續進行的高級數學理論系列的一部分,它是任何學術圖書館不可或缺的補充。
作者簡介
Vladimir S. Anashin is a Professor of Mathematics at Lomonosov Moscow State University and a Leading Research Fellow at Federal Research Center 'Computer Science and Control' of the Russian Academy of Sciences, Russia. His research interests include non-Archimedean analysis, automata theory, ring theory, group theory as well as applications to computer science and foundations of physics. As a leading expert in the p-adic theory of automata and its applications to computer science and interpretation of quantum mechanics, Prof. Anashin was awarded visiting professorship of Université de Picardie Jules Verne, France (2007) and visiting professorship for Senior International Scientists, Chinese Academy of Sciences (2010-2014), also he was recognized as a Distinguished Lecturer by National Centre of Mathematics and Interdiciplinary Sciences, China (2011).
作者簡介(中文翻譯)
弗拉基米爾·S·阿納辛是莫斯科國立大學的數學教授,也是俄羅斯科學院聯邦研究中心「計算機科學與控制」的首席研究員。他的研究興趣包括非阿基米德分析、自動機理論、環論、群論,以及這些領域在計算機科學和物理學基礎中的應用。作為p-adic自動機理論及其在計算機科學和量子力學詮釋中的應用的領先專家,阿納辛教授曾獲得法國皮卡第朱爾·凡爾大學的訪問教授職位(2007年)以及中國科學院的高級國際科學家訪問教授職位(2010-2014年),他還於2011年被中國數學與跨學科科學國家中心認定為傑出講者。