5 edition of **P-adic analysis and mathematical physics** found in the catalog.

- 22 Want to read
- 16 Currently reading

Published
**1994** by World Scientific in Singapore, River Edge, NJ .

Written in English

- P-adic analysis.,
- Mathematical physics.

**Edition Notes**

Includes bibliogrpahical references (p. 302-319).

Statement | V.S. Vladimirov, I.V. Volovich, and E.I. Zelenov. |

Series | Series on Soviet & East European mathematics ;, vol. 1, Series on Soviet and East European mathematics ;, v. 1 |

Contributions | Volovich, I. V., Zelenov, E. I. |

Classifications | |
---|---|

LC Classifications | QA241 .V54 1994 |

The Physical Object | |

Pagination | xviii, 319 p. ; |

Number of Pages | 319 |

ID Numbers | |

Open Library | OL832016M |

ISBN 10 | 9810208804 |

LC Control Number | 95106318 |

OCLC/WorldCa | 30907657 |

In this paper we consider the countable state p-adic Potts model on the Cayley tree. A construction of p-adic Gibbs measures which depends on weights λ is given, and an investiga.

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P-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers in theoretical and mathematical : Hardcover.

Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small distances.

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Lately p-adic Due to COVID, orders may be : $ p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics.

This relatively recent theory has become increasingly important in the last decade with exciting applications in a variety of fields, including biology, image analysis, psychology, and information science. p-Adic mathematical physics also plays an important role in quantum mechanics and quantum field theory Cited by: These lecture notes are intended as an introduction to p-adic analysis on the elementary level.

For this reason they presuppose as little background as possi ble. Besides about three semesters of calculus, I presume some slight exposure to more abstract mathematics Author: Neal Koblitz. Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th); Other Quantitative Biology () Journal reference: p-Adic Numbers Ultrametric Anal.

Appl. 9 (2), 87 Cited by: Kurt Hensel () discovered the p-adic numbers around the turn of the century. These exotic numbers (or so they appeared at P-adic analysis and mathematical physics book are now well-established in the mathematical world and used more and more by physicists as well.

This book offers a self-contained presentation of basic p-adic analysis. Analysis of fractals P-adic analysis and mathematical physics book dependent branching by box counting, P-adic coverages, and systems of equations of P-adic coverages T. Dedovich and M.

Tokarev 8 November | Physics of. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory.

The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on the arithmetic progression of primes. tion to some aspects of p-adic mathematical physics could be helpful for the readers of the ﬁrst issue of the journal p -Adic Numbers, Ultr ametric Analysis and Applications.

In this paper, we study how a p-adic number field acts on an arbitrarily fixed W *-algebra, and how it affects the original free-probabilistic information on the W *-algebra, for each prime particular, by.

This is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics. It gives an elementary and thoroughly written introduction to p-adic numbers and p-adic analysis. A relation of p -adic string theory to number-theoretic Langlands duality is hypothesized and explored somewhat it Michele Nardelli, On the link between the structure of A-branes observed in the homological mirror symmetry and the classical theory of automorphic forms: mathematical.

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- Buy A Course in p-adic Analysis (Graduate Texts in Mathematics) book online at best prices in India on Read A Course in p-adic Analysis (Graduate Texts in Mathematics) book Author: Alain M. Robert. In mathematics, p-adic analysis is a branch of number theory that deals with the mathematical analysis of functions of p-adic numbers.

The theory of complex-valued numerical functions on the p-adic numbers. A brief review of some selected topics in p-adic mathematical physics is presented.

Volovich and E. Zelenov, p-Adic Analysis and Mathematical Physics (World Scientific, Singapore, ). On p-adic mathematical physics Cited by: Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book to deal with applications of p-adic numbers in theoretical and mathematical physics.

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On p-Adic Mathematical Physics - Dragovich, B. et al. 1 () arXiv [math-ph] Update these references [1] J. Serre, A Course in Arithmetics. Springer. (GTM 7, ). [2] I. Cited by: There is an excellent book by Neal Koblitz "p-adic numbers, p-adic analysis and zeta-functions" were the Dwork's proof is stated in a very detailed way, including all preliminaries from p-adic analysis.

-theory atical-physics p-adic-analysis. answered Jan 9 '17 at see Section of my GTM book. Mathematical Methods of Theoretical Physics vii Test function class II,— Test function class III: Tempered dis-tributions and Fourier transforms,— Test function class C1, File Size: 2MB.

p-adic quantum mechanics is a collection of related research efforts in quantum physics that replace real numbers with p-adic numbers.

Historically, this research was inspired by the discovery that the. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small.

Get this from a library. P-adic analysis and mathematical physics. [V S Vladimirov; I V Volovich; E I Zelenov] -- P-adic numbers play a very important role in modern number theory, algebraic geometry. International Conference on $p$-ADIC MATHEMATICAL PHYSICS AND ITS APPLICATIONS $p$-ADICS,Belgrade, Serbia.

This importance comes from the fact that they afford a natural and powerful language for talking about congruences between integers, and allow the use of methods borrowed from calculus and analysis for studying such problems.

More recently, p-adic num bers have shown up in other areas of mathematics, and even in physics. This work aims to show that p-adic analysis is the natural tool to study, in a rigorous mathematical way, reaction-diffusion systems on networks and the corresponding Turing patterns.

In the course of their undergraduate careers, most mathematics majors see little beyond "standard mathematics:" basic real and complex analysis, ab stract algebra, some differential geometry, etc. There are few adventures in other territories, and few opportunities to visit some of the more exotic cor ners of mathematics.

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p-adic numbers play a very important role in modern number theory, algebraic geometry and representation theory. Lately p-adic numbers have attracted a great deal of attention in modern theoretical physics as a promising new approach for describing the non-Archimedean geometry of space-time at small is the first book.

p-Adic mathematical physics emerged as a result of e orts to nd a non-Archimedean approach to the spacetime and string dynamics at the Planck scale. One of its main achievements is a successful File Size: KB.

Stanislaw Ulam wrote a paper long ago on whether p-adic stuff could be used in Physics, I never heard of any useful follow-up. The p-adic numbers are a way of organising solutions to a Diophantine equation.

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Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall; Applied Math Textbook by Sean Mauch; Mathematical Tools for Physics by James A Course in p-adic Analysis Author: Kevin de Asis.

Number Theory Books, P-adic Numbers, p-adic Analysis and Zeta-Functions, (2nd edn.)N. Koblitz, Graduate T Springer Algorithmic Number Theory, Vol. 1, E. Bach and J. Shallit, MIT Press, August ; Automorphic Forms and Representations, D. Bump, CUP ; Notes on Fermat's Last Theorem, A.J.

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It only takes a minute to sign up. Volovich and Zelenov write at the beginning of their book on mathematical physics: Neal Koblitz treats the Shnirelman integral in his book "P-adic Analysis.4 Most Efficient reference books for Mathematical Physics (preferably at Post graduate level, but these are equally good for undergraduates) 1) Mathematical methods in Physical sciences - Mary L Boas.

(A great book .My problem with reading physics textbooks would be my yearning for some sort of "rigorous foundations" from the beginning. I would open something like an introductory quantum mechanics book and they would just lay out the mathematical .