Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1997
|
| Schriftenreihe: | Mathematics and Its Applications
427 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis). However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom |
| Beschreibung: | 1 Online-Ressource (XVIII, 376 p) |
| ISBN: | 9789400914834 9789401071642 |
| DOI: | 10.1007/978-94-009-1483-4 |
Internformat
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Datensatz im Suchindex
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| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-94-009-1483-4 |
| format | Electronic eBook |
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| id | DE-604.BV042423656 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9789400914834 9789401071642 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859073 |
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| physical | 1 Online-Ressource (XVIII, 376 p) |
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| series2 | Mathematics and Its Applications |
| spelling | Khrennikov, Andrei Verfasser aut Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by Andrei Khrennikov Dordrecht Springer Netherlands 1997 1 Online-Ressource (XVIII, 376 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 427 N atur non facit saltus? This book is devoted to the fundamental problem which arises contin uously in the process of the human investigation of reality: the role of a mathematical apparatus in a description of reality. We pay our main attention to the role of number systems which are used, or may be used, in this process. We shall show that the picture of reality based on the standard (since the works of Galileo and Newton) methods of real analysis is not the unique possible way of presenting reality in a human brain. There exist other pictures of reality where other num ber fields are used as basic elements of a mathematical description. In this book we try to build a p-adic picture of reality based on the fields of p-adic numbers Qp and corresponding analysis (a particular case of so called non-Archimedean analysis). However, this book must not be considered as only a book on p-adic analysis and its applications. We study a much more extended range of problems. Our philosophical and physical ideas can be realized in other mathematical frameworks which are not obliged to be based on p-adic analysis. We shall show that many problems of the description of reality with the aid of real numbers are induced by unlimited applications of the so called Archimedean axiom Physics Functional analysis Number theory Quantum theory Statistics Quantum Physics Functional Analysis Number Theory Statistics, general Theoretical, Mathematical and Computational Physics Quantentheorie Statistik Nichtarchimedische Analysis (DE-588)4171709-0 gnd rswk-swf Nichtarchimedische Analysis (DE-588)4171709-0 s 1\p DE-604 https://doi.org/10.1007/978-94-009-1483-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Khrennikov, Andrei Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models Physics Functional analysis Number theory Quantum theory Statistics Quantum Physics Functional Analysis Number Theory Statistics, general Theoretical, Mathematical and Computational Physics Quantentheorie Statistik Nichtarchimedische Analysis (DE-588)4171709-0 gnd |
| subject_GND | (DE-588)4171709-0 |
| title | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models |
| title_auth | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models |
| title_exact_search | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models |
| title_full | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by Andrei Khrennikov |
| title_fullStr | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by Andrei Khrennikov |
| title_full_unstemmed | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by Andrei Khrennikov |
| title_short | Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models |
| title_sort | non archimedean analysis quantum paradoxes dynamical systems and biological models |
| topic | Physics Functional analysis Number theory Quantum theory Statistics Quantum Physics Functional Analysis Number Theory Statistics, general Theoretical, Mathematical and Computational Physics Quantentheorie Statistik Nichtarchimedische Analysis (DE-588)4171709-0 gnd |
| topic_facet | Physics Functional analysis Number theory Quantum theory Statistics Quantum Physics Functional Analysis Number Theory Statistics, general Theoretical, Mathematical and Computational Physics Quantentheorie Statistik Nichtarchimedische Analysis |
| url | https://doi.org/10.1007/978-94-009-1483-4 |
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