1 edition of **Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models** found in the catalog.

- 340 Want to read
- 35 Currently reading

Published
**1997**
by Springer Netherlands in Dordrecht
.

Written in English

- Functional analysis,
- Quantum theory,
- Statistics,
- Physics,
- Number theory

This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and stochastic processes; spectral theory of operators in non-Archimedean Hilbert spaces; dynamic systems; p-adic fractal dimension, infinite-dimensional analysis and Feynman integration based on the Albeverio-Hoegh-Kröhn approach; both linear and nonlinear differential and pseudo-differential equations; complexity of random sequences and a p-adic description of chaos. Also, the present volume explores the unique concept of using fields of p-adic numbers and their corresponding non-Archimedean analysis, a p-adic solution of paradoxes in the foundations of quantum mechanics, and especially the famous Einstein-Podolsky-Rosen paradox to create an epistemological framework for scientific use. Audience: This book will be valuable to postgraduate students and researchers with an interest in such diverse disciplines as mathematics, physics, biology and philosophy.

**Edition Notes**

Statement | by Andrei Khrennikov |

Series | Mathematics and Its Applications -- 427, Mathematics and Its Applications -- 427 |

Classifications | |
---|---|

LC Classifications | QC173.96-174.52 |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (396p.) |

Number of Pages | 396 |

ID Numbers | |

Open Library | OL27077487M |

ISBN 10 | 9401071640, 9400914830 |

ISBN 10 | 9789401071642, 9789400914834 |

OCLC/WorldCa | 851375775 |

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Khrennikov AYu: Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models, Mathematics and Its Applications. Volume Kluwer Academic Publishers, Dordrecht, The Netherlands; xviii+ Google Scholar. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models Andrei Y Khrennikov Inbunden. Ubiquitous Quantum Structure Andrei Y Khrennikov Häftad. Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena `The book will probably make a useful addition to the office|library.

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Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by Andrei Khrennikov Moscow State Institute of Electronic Engineering, Russia.

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (Mathematics and Its Applications ()) th Edition by Andrei Y.

Cited by: Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Authors: Khrennikov, Andrei Y. (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.

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 des Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models | SpringerLink.

Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models by Andrei Y. Khrennikov,available at Book Depository with free delivery worldwide.5/5(1). Pris: kr. Inbunden, Skickas inom vardagar. Köp Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models av.

Khrennikov A. () Non-Archimedean Analysis. In: Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Mathematics and Its Applications, vol Cited by: Pris: kr.

e-bok, Laddas ned direkt. Köp boken Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models av Andrei Y. Khrennikov (ISBN ) hos Adlibris. Alltid bra priser och snabb leverans. | Adlibris. from book Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (pp) Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models.

Also, the present volume explores the unique concept of using fields of p-adic numbers and their corresponding non-Archimedean analysis, a p-adic solution of paradoxes in the foundations of quantum mechanics, and especially the famous Einstein-Podolsky-Rosen paradox to create an epistemological framework for scientific use.

Pris: kr. inbunden, Skickas inom vardagar. Köp boken Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models av Andrei Y. Khrennikov (ISBN ) hos Adlibris. Fri frakt. Alltid bra priser och snabb leverans. | Adlibris.

Get this from a library. Non-Archimedean analysis: quantum paradoxes, dynamical systems, and biological models. [A I︠U︡ Khrennikov] -- This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and stochastic processes; spectral theory of operators in.

Non-Archimedean Analysis | 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.

Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (Kluwer Academics, )., 21 A. The proof of this theorem is a slight variation of the Proof of Theorem in Serfaty’s book. 35 S.

Serfaty. Get this from a library. Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. [Andrei Khrennikov] -- This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and stochastic processes; spectral theory of operators in.

Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models, Kluwer,for a completely non-Archimedean theory. Analysis over fields of positive characteristic including such things as representations of canonical commutation relations of quantum mechanics is given in.

A. KhrennikovNon-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models. Math. Appl., vol.Kluwer Academic Publishers, Dordrecht () Google Scholar. KuczmaAn Introduction to the Theory of Functional Equations and Inequalities. Cauchy's Equation and Jensen's Inequality. Non Archimedean Analysis Quantum Paradoxes Dynamical Systems And Biological Models.

Author by: Andrei Y. Khrennikov (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. Non-Archimedean analysis quantum paradoxes, dynamical systems and biological models By Andrei Khrennikov No static citation data No static citation data Cite.

Non-Archimedean analysis: quantum paradoxes, dynamical systems and biological models, Kluwer Acad. Publishers, Dordreht () [9] Khrennikov, S.S. Yamada, A. van Rooij Measure-theoretical approach to p-adic probability theory. Physics and mathematics. InPaul Dirac wrote a paper "The Physical Interpretation of Quantum Mechanics" where he introduced the concept of negative energies and negative probabilities: "Negative energies and probabilities should not be considered as nonsense.

They are well-defined concepts mathematically, like a negative of money.".Khrennikov, Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models (Kluwer Academics, ).

Crossref.The Chilean psychoanalyst Ignacio Matte Blanco developed theories of subconscious processes and their relationship with conscious reasoning. This work, in the book The Unconscious and Infinite Sets: An Essay in Bi-Logic published inuses mathematical perspectives.

In this article I will show how such perspectives are closely aligned with the mathematics underpinning data analytics.