國立虎尾科技大學 |

Causality = the p-adic theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Causality/ by Vladimir Anashin.
其他題名:	the p-adic theory /
作者:	Anashin, Vladimir.
出版者:	Cham :Springer Nature Switzerland : : 2025.,
面頁冊數:	xxvi, 413 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Sequences, Series, Summability. -
電子資源:	https://doi.org/10.1007/978-3-031-85818-5
ISBN:	9783031858185

Causality = the p-adic theory /
Anashin, Vladimir.

Causalitythe p-adic theory /[electronic resource] :by Vladimir Anashin. - Cham :Springer Nature Switzerland :2025. - xxvi, 413 p. :ill. (some col.), digital ;24 cm. - STEAM-H: science, technology, engineering, agriculture, mathematics & health,2520-1948. - STEAM-H: science, technology, engineering, agriculture, mathematics & health..

Foreword -- Preface -- Background -- Part I. Basics of p-Adic Analysis -- Rings and Fields of p-Adic Numbers -- p-Adic Calculus -- p-Adic Series -- 1-Lipschitz functions -- Special Classes of 1-Lipschitz Functions -- Part II. The p-Adic Ergodic Theory -- Ergodic Theory: Preliminaries for the p-Adic Case -- The Main Ergodic Theorem for p-Adic 1-Lipschitz Maps -- 1-Lipschitz Ergodicity on Zp -- Measure-Preservation and Ergodicity of Uniformly Differentiable Functions -- 1-Lipschitz Ergodicity on Subspaces -- Plots of 1-Lipschitz Functions in Euclidean Space -- Part III. Applications -- Applications to Automata Theory -- Applications to Computer Science -- Application to Combinatorics -- Applications to Foundations of Quantum Theory -- References -- Index.

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.

ISBN: 9783031858185

Standard No.: 10.1007/978-3-031-85818-5doiSubjects--Topical Terms:

672022
Sequences, Series, Summability.

LC Class. No.: QA241

Dewey Class. No.: 512.74

Causality = the p-adic theory /
LDR:03379nam a2200337 a 4500 001 1162488
003 DE-He213
005 20250424124659.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031858185 $q (electronic bk.)
020 $a 9783031858178 $q (paper)
024 7 $a 10.1007/978-3-031-85818-5 $2 doi
035 $a 978-3-031-85818-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA241
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.74 $2 23
090 $a QA241 $b .A534 2025
100 1 $a Anashin, Vladimir. $3 1489285
245 1 0 $a Causality $h [electronic resource] : $b the p-adic theory / $c by Vladimir Anashin.
260 $a Cham : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xxvi, 413 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a STEAM-H: science, technology, engineering, agriculture, mathematics & health, $x 2520-1948
505 0 $a Foreword -- Preface -- Background -- Part I. Basics of p-Adic Analysis -- Rings and Fields of p-Adic Numbers -- p-Adic Calculus -- p-Adic Series -- 1-Lipschitz functions -- Special Classes of 1-Lipschitz Functions -- Part II. The p-Adic Ergodic Theory -- Ergodic Theory: Preliminaries for the p-Adic Case -- The Main Ergodic Theorem for p-Adic 1-Lipschitz Maps -- 1-Lipschitz Ergodicity on Zp -- Measure-Preservation and Ergodicity of Uniformly Differentiable Functions -- 1-Lipschitz Ergodicity on Subspaces -- Plots of 1-Lipschitz Functions in Euclidean Space -- Part III. Applications -- Applications to Automata Theory -- Applications to Computer Science -- Application to Combinatorics -- Applications to Foundations of Quantum Theory -- References -- Index.
520 $a 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.
650 2 4 $a Sequences, Series, Summability. $3 672022
650 2 4 $a Dynamical Systems. $3 1366074
650 2 4 $a Analysis. $3 669490
650 1 4 $a Number Theory. $3 672023
650 0 $a p-adic numbers. $3 1489286
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a STEAM-H: science, technology, engineering, agriculture, mathematics & health. $3 1206408
856 4 0 $u https://doi.org/10.1007/978-3-031-85818-5
950 $a Mathematics and Statistics (SpringerNature-11649)