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ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.05/5 ( download)
Download or read book Selected Topics in Mathematical Physics and P-adic Analysis written by and published by . This book was released on 2009 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V S Vladimirov
Publisher : World Scientific
ISBN 13 : 9814505765
Total Pages : 342 pages
Book Rating : 4.65/5 ( download)
Download or read book P-adic Analysis And Mathematical Physics written by V S Vladimirov and published by World Scientific. This book was released on 1994-04-28 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 distances.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 with great numbers of examples as well as applications of p-adic numbers in classical mechanics, dynamical systems, quantum mechanics, statistical physics, quantum field theory and string theory.
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ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.01/5 ( download)
Download or read book Selected Topics of P-adic Mathematical Physics and Analysis written by and published by . This book was released on 2004 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vasilij S. Vladimirov
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.53/5 ( download)
Download or read book Selected Topics of P-adic Mathematical Physics and Analysis written by Vasilij S. Vladimirov and published by . This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. V. Volovich
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804643
Total Pages : 420 pages
Book Rating : 4.42/5 ( download)
Download or read book Selected Questions of Mathematical Physics and Analysis written by I. V. Volovich and published by American Mathematical Soc.. This book was released on 1995 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection, dedicated to the 70th anniversary of the birth of VasiliiSergeevich Vladimirov, consists of original papers on various branches of analysis and mathematical physics. It presents work relating to the following topics:--the theory of generalized functions--complex and $p$-adic analysis--mathematical questions of quantum field theory and statistical mechanics--computational mathematics and differential equations.
Author :
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ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.89/5 ( download)
Download or read book Selected Topics of P-adic Mathematical Physics and Analysis written by and published by . This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fernando Q. Gouvea
Publisher : Springer Science & Business Media
ISBN 13 : 3662222787
Total Pages : 285 pages
Book Rating : 4.82/5 ( download)
Download or read book p-adic Numbers written by Fernando Q. Gouvea and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: p-adic numbers are of great theoretical importance in number theory, since they allow the use of the language of analysis to study problems relating toprime numbers and diophantine equations. Further, they offer a realm where one can do things that are very similar to classical analysis, but with results that are quite unusual. The book should be of use to students interested in number theory, but at the same time offers an interesting example of the many connections between different parts of mathematics. The book strives to be understandable to an undergraduate audience. Very little background has been assumed, and the presentation is leisurely. There are many problems, which should help readers who are working on their own (a large appendix with hints on the problem is included). Most of all, the book should offer undergraduates exposure to some interesting mathematics which is off the beaten track. Those who will later specialize in number theory, algebraic geometry, and related subjects will benefit more directly, but all mathematics students can enjoy the book.
Author : W. A. Zúñiga-Galindo
Publisher : Springer Nature
ISBN 13 : 3030819760
Total Pages : 326 pages
Book Rating : 4.67/5 ( download)
Download or read book Advances in Non-Archimedean Analysis and Applications written by W. A. Zúñiga-Galindo and published by Springer Nature. This book was released on 2021-12-02 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a broad, interdisciplinary overview of non-Archimedean analysis and its applications. Featuring new techniques developed by leading experts in the field, it highlights the relevance and depth of this important area of mathematics, in particular its expanding reach into the physical, biological, social, and computational sciences as well as engineering and technology. In the last forty years the connections between non-Archimedean mathematics and disciplines such as physics, biology, economics and engineering, have received considerable attention. Ultrametric spaces appear naturally in models where hierarchy plays a central role – a phenomenon known as ultrametricity. In the 80s, the idea of using ultrametric spaces to describe the states of complex systems, with a natural hierarchical structure, emerged in the works of Fraunfelder, Parisi, Stein and others. A central paradigm in the physics of certain complex systems – for instance, proteins – asserts that the dynamics of such a system can be modeled as a random walk on the energy landscape of the system. To construct mathematical models, the energy landscape is approximated by an ultrametric space (a finite rooted tree), and then the dynamics of the system is modeled as a random walk on the leaves of a finite tree. In the same decade, Volovich proposed using ultrametric spaces in physical models dealing with very short distances. This conjecture has led to a large body of research in quantum field theory and string theory. In economics, the non-Archimedean utility theory uses probability measures with values in ordered non-Archimedean fields. Ultrametric spaces are also vital in classification and clustering techniques. Currently, researchers are actively investigating the following areas: p-adic dynamical systems, p-adic techniques in cryptography, p-adic reaction-diffusion equations and biological models, p-adic models in geophysics, stochastic processes in ultrametric spaces, applications of ultrametric spaces in data processing, and more. This contributed volume gathers the latest theoretical developments as well as state-of-the art applications of non-Archimedean analysis. It covers non-Archimedean and non-commutative geometry, renormalization, p-adic quantum field theory and p-adic quantum mechanics, as well as p-adic string theory and p-adic dynamics. Further topics include ultrametric bioinformation, cryptography and bioinformatics in p-adic settings, non-Archimedean spacetime, gravity and cosmology, p-adic methods in spin glasses, and non-Archimedean analysis of mental spaces. By doing so, it highlights new avenues of research in the mathematical sciences, biosciences and computational sciences.
Author : William a Schwalm
Publisher : Iop Concise Physics
ISBN 13 : 9781643278056
Total Pages : 67 pages
Book Rating : 4.53/5 ( download)
Download or read book Lectures on Selected Topics in Mathematical Physics written by William a Schwalm and published by Iop Concise Physics. This book was released on 2015-12-31 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a basic introduction to certain aspects of elliptic functions and elliptic integrals. Primarily, the elliptic functions stand out as closed solutions to a class of physical and geometrical problems giving rise to nonlinear differential equations. While these nonlinear equations may not be the types of greatest interest currently, the fact that they are solvable exactly in terms of functions about which much is known makes up for this. The elliptic functions of Jacobi, or equivalently the Weierstrass elliptic functions, inhabit the literature on current problems in condensed matter and statistical physics, on solitons and conformal representations, and all sorts of famous problems in classical mechanics. The lectures on elliptic functions have evolved as part of the first semester of a course on theoretical and mathematical methods given to first and second year graduate students in physics and chemistry at the University of North Dakota. They are for graduate students or for researchers who want an elementary introduction to the subject that nevertheless leaves them with enough of the details to address real problems. The style is supposed to be informal. The intention is to introduce the subject as a moderate extension of ordinary trigonometry in which the reference circle is replaced by an ellipse. This entre depends upon fewer tools and has seemed less intimidating that other typical introductions to the subject that depend on some knowledge of complex variables. The first three lectures assume only calculus, including the chain rule and elementary knowledge of differential equations. In the later lectures, the complex analytic properties are introduced naturally so that a more complete study becomes possible.
Author : James Rodgers Clow
Publisher :
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.96/5 ( download)
Download or read book Selected Topics in Mathematical Physics written by James Rodgers Clow and published by . This book was released on 1962 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
