Mathematical Analysis of Physical Problems

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Publisher : Courier Corporation
ISBN 13 : 0486646769
Total Pages : 644 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Mathematical Analysis of Physical Problems by : Philip Russell Wallace

Download or read book Mathematical Analysis of Physical Problems written by Philip Russell Wallace and published by Courier Corporation. This book was released on 1984-01-01 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This mathematical reference for theoretical physics employs common techniques and concepts to link classical and modern physics. It provides the necessary mathematics to solve most of the problems. Topics include the vibrating string, linear vector spaces, the potential equation, problems of diffusion and attenuation, probability and stochastic processes, and much more. 1972 edition.

Analysis as a Tool in Mathematical Physics

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Publisher : Springer Nature
ISBN 13 : 3030315312
Total Pages : 627 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Analysis as a Tool in Mathematical Physics by : Pavel Kurasov

Download or read book Analysis as a Tool in Mathematical Physics written by Pavel Kurasov and published by Springer Nature. This book was released on 2020-07-14 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

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Publisher : Courier Dover Publications
ISBN 13 : 0486468992
Total Pages : 529 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Nonstandard Methods in Stochastic Analysis and Mathematical Physics by : Sergio Albeverio

Download or read book Nonstandard Methods in Stochastic Analysis and Mathematical Physics written by Sergio Albeverio and published by Courier Dover Publications. This book was released on 2009-02-26 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.

P-adic Analysis and Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 9789810208806
Total Pages : 350 pages
Book Rating : 4.2/5 (88 download)

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Book Synopsis P-adic Analysis and Mathematical Physics by : Vasili? Sergeevich Vladimirov

Download or read book P-adic Analysis and Mathematical Physics written by Vasili? Sergeevich Vladimirov and published by World Scientific. This book was released on 1994 with total page 350 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.

Symplectic Methods in Harmonic Analysis and in Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3764399929
Total Pages : 351 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Symplectic Methods in Harmonic Analysis and in Mathematical Physics by : Maurice A. de Gosson

Download or read book Symplectic Methods in Harmonic Analysis and in Mathematical Physics written by Maurice A. de Gosson and published by Springer Science & Business Media. This book was released on 2011-07-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplectic covariance, Shubin’s global theory of pseudo-differential operators, and Feichtinger’s theory of modulation spaces. Several applications to time-frequency analysis and quantum mechanics are given, many of them concurrent with ongoing research. For instance, a non-standard pseudo-differential calculus on phase space where the main role is played by “Bopp operators” (also called “Landau operators” in the literature) is introduced and studied. This calculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtinger’s modulation spaces are key actors. This book is primarily directed towards students or researchers in harmonic analysis (in the broad sense) and towards mathematical physicists working in quantum mechanics. It can also be read with profit by researchers in time-frequency analysis, providing a valuable complement to the existing literature on the topic. A certain familiarity with Fourier analysis (in the broad sense) and introductory functional analysis (e.g. the elementary theory of distributions) is assumed. Otherwise, the book is largely self-contained and includes an extensive list of references.

Some Applications of Functional Analysis in Mathematical Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821898321
Total Pages : 300 pages
Book Rating : 4.8/5 (983 download)

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Book Synopsis Some Applications of Functional Analysis in Mathematical Physics by : S. L. Sobolev

Download or read book Some Applications of Functional Analysis in Mathematical Physics written by S. L. Sobolev and published by American Mathematical Soc.. This book was released on 2008-04-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special problems of functional analysis Variational methods in mathematical physics The theory of hyperbolic partial differential equations Comments Appendix: Methode nouvelle a resoudre le probleme de Cauchy pour les equations lineaires hyperboliques normales Comments on the appendix Bibliography Index

Global and Stochastic Analysis with Applications to Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 0857291637
Total Pages : 454 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Global and Stochastic Analysis with Applications to Mathematical Physics by : Yuri E. Gliklikh

Download or read book Global and Stochastic Analysis with Applications to Mathematical Physics written by Yuri E. Gliklikh and published by Springer Science & Business Media. This book was released on 2010-12-07 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems. This book develops methods of Global Analysis and Stochastic Analysis such that their combination allows one to have a more or less common treatment for areas of mathematical physics that traditionally are considered as divergent and requiring different methods of investigation. Global and Stochastic Analysis with Applications to Mathematical Physics covers branches of mathematics that are currently absent in monograph form. Through the demonstration of new topics of investigation and results, both in traditional and more recent problems, this book offers a fresh perspective on ordinary and stochastic differential equations and inclusions (in particular, given in terms of Nelson's mean derivatives) on linear spaces and manifolds. Topics covered include classical mechanics on non-linear configuration spaces, problems of statistical and quantum physics, and hydrodynamics. A self-contained book that provides a large amount of preliminary material and recent results which will serve to be a useful introduction to the subject and a valuable resource for further research. It will appeal to researchers, graduate and PhD students working in global analysis, stochastic analysis and mathematical physics.

Operator Theory, Analysis and Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3764381353
Total Pages : 261 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Operator Theory, Analysis and Mathematical Physics by : Jan Janas

Download or read book Operator Theory, Analysis and Mathematical Physics written by Jan Janas and published by Springer Science & Business Media. This book was released on 2007-04-29 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

Applications of Global Analysis in Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applications of Global Analysis in Mathematical Physics by : Jerrold E. Marsden

Download or read book Applications of Global Analysis in Mathematical Physics written by Jerrold E. Marsden and published by . This book was released on 1993 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9401731985
Total Pages : 456 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics by : W.I. Fushchich

Download or read book Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics written by W.I. Fushchich and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: by spin or (spin s = 1/2) field equations is emphasized because their solutions can be used for constructing solutions of other field equations insofar as fields with any spin may be constructed from spin s = 1/2 fields. A brief account of the main ideas of the book is presented in the Introduction. The book is largely based on the authors' works [55-109, 176-189, 13-16, 7*-14*,23*, 24*] carried out in the Institute of Mathematics, Academy of Sciences of the Ukraine. References to other sources is not intended to imply completeness. As a rule, only those works used directly are cited. The authors wish to express their gratitude to Academician Yu.A. Mitropoi sky, and to Academician of Academy of Sciences of the Ukraine O.S. Parasyuk, for basic support and stimulation over the course of many years; to our cowork ers in the Department of Applied Studies, LA. Egorchenko, R.Z. Zhdanov, A.G. Nikitin, LV. Revenko, V.L Lagno, and I.M. Tsifra for assistance with the manuscript.

Applied Functional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 1461208157
Total Pages : 503 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Applied Functional Analysis by : Eberhard Zeidler

Download or read book Applied Functional Analysis written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Functions, Spaces, and Expansions

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Publisher : Springer Science & Business Media
ISBN 13 : 0817649808
Total Pages : 280 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Functions, Spaces, and Expansions by : Ole Christensen

Download or read book Functions, Spaces, and Expansions written by Ole Christensen and published by Springer Science & Business Media. This book was released on 2010-05-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering. Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.

Methods of Modern Mathematical Physics: Functional analysis

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Publisher : Gulf Professional Publishing
ISBN 13 : 0125850506
Total Pages : 417 pages
Book Rating : 4.1/5 (258 download)

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Book Synopsis Methods of Modern Mathematical Physics: Functional analysis by : Michael Reed

Download or read book Methods of Modern Mathematical Physics: Functional analysis written by Michael Reed and published by Gulf Professional Publishing. This book was released on 1980 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is the first of a multivolume series devoted to an exposition of functional analysis methods in modern mathematical physics. It describes the fundamental principles of functional analysis and is essentially self-contained, although there are occasional references to later volumes. We have included a few applications when we thought that they would provide motivation for the reader. Later volumes describe various advanced topics in functional analysis and give numerous applications in classical physics, modern physics, and partial differential equations." --Publisher description.

Mathematical Physics

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Publisher : University of Chicago Press
ISBN 13 : 022622306X
Total Pages : 358 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis Mathematical Physics by : Robert Geroch

Download or read book Mathematical Physics written by Robert Geroch and published by University of Chicago Press. This book was released on 2015-08-01 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Physics is an introduction to such basic mathematical structures as groups, vector spaces, topological spaces, measure spaces, and Hilbert space. Geroch uses category theory to emphasize both the interrelationships among different structures and the unity of mathematics. Perhaps the most valuable feature of the book is the illuminating intuitive discussion of the "whys" of proofs and of axioms and definitions. This book, based on Geroch's University of Chicago course, will be especially helpful to those working in theoretical physics, including such areas as relativity, particle physics, and astrophysics.

Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics

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Publisher : Springer
ISBN 13 : 9789048182862
Total Pages : 0 pages
Book Rating : 4.1/5 (828 download)

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Book Synopsis Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics by : A.I. Vol'pert

Download or read book Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics written by A.I. Vol'pert and published by Springer. This book was released on 2010-12-30 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387985794
Total Pages : 1052 pages
Book Rating : 4.9/5 (857 download)

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Book Synopsis Mathematical Physics by : Sadri Hassani

Download or read book Mathematical Physics written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2002-02-08 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt: For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.

Analysis And Mathematical Physics

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Publisher : World Scientific
ISBN 13 : 1786341018
Total Pages : 246 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Analysis And Mathematical Physics by : Shaun Bullett

Download or read book Analysis And Mathematical Physics written by Shaun Bullett and published by World Scientific. This book was released on 2016-12-22 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative differential geometry, differential geometry and mathematical physics, mathematical problems of general relativity, and special functions of mathematical physics.Analysis and Mathematical Physics is the sixth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.