Advanced Methods Of Mathematical Physics
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Advanced Methods Of Mathematical Physics
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Author : Radhey Shyam Kaushal
language : en
Publisher: Narosa Publishing House
Release Date : 2000
Advanced Methods Of Mathematical Physics written by Radhey Shyam Kaushal and has been published by Narosa Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
In an introductory style with many examples, Advanced Methods of Mathematical Physics presents some of the concepts, methods, and tools that form the core of mathematical physics. The material covers two main broad categories of topics: 1) abstract topics, such as groups, topology, integral equations, and stochasticity, and 2) the methods of nonlinear dynamics.
Advanced Methods Of Mathematical Physics
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Author : Radhey Shyam Kaushal
language : en
Publisher:
Release Date : 2000
Advanced Methods Of Mathematical Physics written by Radhey Shyam Kaushal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematical physics categories.
Methods Of Mathematical Physics
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Author : Alexey N. Karapetyants
language : en
Publisher: Springer Nature
Release Date : 2022-11-17
Methods Of Mathematical Physics written by Alexey N. Karapetyants and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-17 with Science categories.
This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses. The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series. Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
Advanced Mathematical Methods In Science And Engineering
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Author : S.I. Hayek
language : en
Publisher: CRC Press
Release Date : 2010-06-22
Advanced Mathematical Methods In Science And Engineering written by S.I. Hayek and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-22 with Mathematics categories.
Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of t
Advanced Mathematical Methods
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Author : Francesco Mainardi
language : en
Publisher: MDPI
Release Date : 2020-02-05
Advanced Mathematical Methods written by Francesco Mainardi and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-05 with Mathematics categories.
The many technical and computational problems that appear to be constantly emerging in various branches of physics and engineering beg for a more detailed understanding of the fundamental mathematics that serves as the cornerstone of our way of understanding natural phenomena. The purpose of this Special Issue was to establish a brief collection of carefully selected articles authored by promising young scientists and the world's leading experts in pure and applied mathematics, highlighting the state-of-the-art of the various research lines focusing on the study of analytical and numerical mathematical methods for pure and applied sciences.
Lectures On Advanced Mathematical Methods For Physicists
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Author : Sunil Mukhi
language : en
Publisher: World Scientific
Release Date : 2010
Lectures On Advanced Mathematical Methods For Physicists written by Sunil Mukhi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Science categories.
Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curvature. The final chapters lay out the basic notions of simplicial homology and de Rham cohomology as well as fibre bundles, particularly tangent and cotangent bundles. --
Modern Group Analysis Advanced Analytical And Computational Methods In Mathematical Physics
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Author : N.H. Ibragimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-27
Modern Group Analysis Advanced Analytical And Computational Methods In Mathematical Physics written by N.H. Ibragimov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-27 with Mathematics categories.
On the occasion of the 150th anniversary of Sophus Lie, an International Work shop "Modern Group Analysis: advanced analytical and computational methods in mathematical physics" has been organized in Acireale (Catania, Sicily, October 27 31, 1992). The Workshop was aimed to enlighten the present state ofthis rapidly expanding branch of applied mathematics. Main topics of the Conference were: • classical Lie groups applied for constructing invariant solutions and conservation laws; • conditional (partial) symmetries; • Backlund transformations; • approximate symmetries; • group analysis of finite-difference equations; • problems of group classification; • software packages in group analysis. The success of the Workshop was due to the participation of many experts in Group Analysis from different countries. This book consists of selected papers presented at the Workshop. We would like to thank the Scientific Committee for the generous support of recommending invited lectures and selecting the papers for this volume, as well as the members of the Organizing Committee for their help. The Workshop was made possible by the financial support of several sponsors that are listed below. It is also a pleasure to thank our colleague Enrico Gregorio for his invaluable help of this volume.
Principles Of Advanced Mathematical Physics
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Author : Robert D. Richtmyer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Principles Of Advanced Mathematical Physics written by Robert D. Richtmyer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
A first consequence of this difference in texture concerns the attitude we must take toward some (or perhaps most) investigations in "applied mathe matics," at least when the mathematics is applied to physics. Namely, those investigations have to be regarded as pure mathematics and evaluated as such. For example, some of my mathematical colleagues have worked in recent years on the Hartree-Fock approximate method for determining the structures of many-electron atoms and ions. When the method was intro duced, nearly fifty years ago, physicists did the best they could to justify it, using variational principles, intuition, and other techniques within the texture of physical reasoning. By now the method has long since become part of the established structure of physics. The mathematical theorems that can be proved now (mostly for two- and three-electron systems, hence of limited interest for physics), have to be regarded as mathematics. If they are good mathematics (and I believe they are), that is justification enough. If they are not, there is no basis for saying that the work is being done to help the physicists. In that sense, applied mathematics plays no role in today's physics. In today's division of labor, the task of the mathematician is to create mathematics, in whatever area, without being much concerned about how the mathematics is used; that should be decided in the future and by physics.
Methods Of Modern Mathematical Physics Functional Analysis
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Author : Michael Reed
language : en
Publisher:
Release Date : 1972
Methods Of Modern Mathematical Physics Functional Analysis written by Michael Reed and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Science categories.
Methods of Modern Mathematical Physics ...
Advanced Mathematical Methods For Scientists And Engineers I
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Author : Carl M. Bender
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Advanced Mathematical Methods For Scientists And Engineers I written by Carl M. Bender and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The triumphant vindication of bold theories-are these not the pride and justification of our life's work? -Sherlock Holmes, The Valley of Fear Sir Arthur Conan Doyle The main purpose of our book is to present and explain mathematical methods for obtaining approximate analytical solutions to differential and difference equations that cannot be solved exactly. Our objective is to help young and also establiShed scientists and engineers to build the skills necessary to analyze equations that they encounter in their work. Our presentation is aimed at developing the insights and techniques that are most useful for attacking new problems. We do not emphasize special methods and tricks which work only for the classical transcendental functions; we do not dwell on equations whose exact solutions are known. The mathematical methods discussed in this book are known collectively as asymptotic and perturbative analysis. These are the most useful and powerful methods for finding approximate solutions to equations, but they are difficult to justify rigorously. Thus, we concentrate on the most fruitful aspect of applied analysis; namely, obtaining the answer. We stress care but not rigor. To explain our approach, we compare our goals with those of a freshman calculus course. A beginning calculus course is considered successful if the students have learned how to solve problems using calculus.