Methods For Solving Mathematical Physics Problems
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Methods For Solving Mathematical Physics Problems
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Author : Valeriĭ Ivanovich Agoshkov
language : en
Publisher: Cambridge Int Science Publishing
Release Date : 2006
Methods For Solving Mathematical Physics Problems written by Valeriĭ Ivanovich Agoshkov and has been published by Cambridge Int Science Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
The aim of the book is to present to a wide range of readers (students, postgraduates, scientists, engineers, etc.) basic information on one of the directions of mathematics, methods for solving mathematical physics problems. The authors have tried to select for the book methods that have become classical and generally accepted. However, some of the current versions of these methods may be missing from the book because they require special knowledge. The book is of the handbook-teaching type. On the one hand, the book describes the main definitions, the concepts of the examined methods and approaches used in them, and also the results and claims obtained in every specific case. On the other hand, proofs of the majority of these results are not presented and they are given only in the simplest (methodological) cases. Another special feature of the book is the inclusion of many examples of application of the methods for solving specific mathematical physics problems of applied nature used in various areas of science and social activity, such as power engineering, environmental protection, hydrodynamics, elasticity theory, etc. This should provide additional information on possible applications of these methods. To provide complete information, the book includes a chapter dealing with the main problems of mathematical physics, together with the results obtained in functional analysis and boundary-value theory for equations with partial derivatives.
Methods For Solving Mathematical Physics Problems
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Author : Agoshkov
language : en
Publisher:
Release Date : 2008-01-01
Methods For Solving Mathematical Physics Problems written by Agoshkov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with categories.
Traditional Functional Discrete Methods For The Problems Of Mathematical Physics
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Author : Volodymyr Makarov
language : en
Publisher: John Wiley & Sons
Release Date : 2024-04-02
Traditional Functional Discrete Methods For The Problems Of Mathematical Physics written by Volodymyr Makarov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-02 with Science categories.
This book is devoted to the construction and study of approximate methods for solving mathematical physics problems in canonical domains. It focuses on obtaining weighted a priori estimates of the accuracy of these methods while also considering the influence of boundary and initial conditions. This influence is quantified by means of suitable weight functions that characterize the distance of an inner point to the boundary of the domain. New results are presented on boundary and initial effects for the finite difference method for elliptic and parabolic equations, mesh schemes for equations with fractional derivatives, and the Cayley transform method for abstract differential equations in Hilbert and Banach spaces. Due to their universality and convenient implementation, the algorithms discussed throughout can be used to solve a wide range of actual problems in science and technology. The book is intended for scientists, university teachers, and graduate and postgraduate students who specialize in the field of numerical analysis.
Theoretical And Mathematical Physics
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Author : Steeb Willi-hans
language : en
Publisher: World Scientific
Release Date : 2018-08-23
Theoretical And Mathematical Physics written by Steeb Willi-hans and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-23 with Science categories.
This updated and extended edition of the book combines the topics provided in the two parts of the previous editions as well as new topics. It is a comprehensive compilation covering most areas in mathematical and theoretical physics. The book provides a collection of problems together with their detailed solutions which will prove to be valuable to students as well as to researchers in the fields of mathematics, physics, engineering and other sciences. Each chapter provides a short introduction with the relevant definitions and notations. All relevant definitions are given. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. Stimulating supplementary problems are also provided in each chapter. Students can learn important principles and strategies required for problem solving. Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. Introductory problems for both undergraduate and advanced undergraduate students are provided. More advanced problems together with their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover new fields in theoretical and mathematical physics such as tensor product, Lax representation, Bäcklund transformation, soliton equations, Hilbert space theory, uncertainty relation, entanglement, spin systems, Lie groups, Bose system, Fermi systems differential forms, Lie algebra valued differential forms, metric tensor fields, Hirota technique, Painlevé test, Bethe ansatz, Yang-Baxter relation, wavelets, gauge theory, differential geometry, string theory, chaos, fractals, complexity, ergodic theory, etc. A number of software implementations are also provided.
Methods For Solving Inverse Problems In Mathematical Physics
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Author : Global Express Ltd. Co.
language : en
Publisher: CRC Press
Release Date : 2000-03-21
Methods For Solving Inverse Problems In Mathematical Physics written by Global Express Ltd. Co. and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-21 with Mathematics categories.
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, app
Numerical Methods For Solving Inverse Problems Of Mathematical Physics
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Author : A. A. Samarskii
language : en
Publisher: Walter de Gruyter
Release Date : 2008-08-27
Numerical Methods For Solving Inverse Problems Of Mathematical Physics written by A. A. Samarskii and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-27 with Mathematics categories.
The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
A Handbook Of Mathematical Methods And Problem Solving Tools For Introductory Physics
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Author : Joshua F Whitney
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2016-11-01
A Handbook Of Mathematical Methods And Problem Solving Tools For Introductory Physics written by Joshua F Whitney and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-01 with Science categories.
This is a companion textbook for an introductory course in physics. It aims to link the theories and models that students learn in class with practical problem-solving techniques. In other words, it should address the common complaint that 'I understand the concepts but I can't do the homework or tests'. The fundamentals of introductory physics courses are addressed in simple and concise terms, with emphasis on how the fundamental concepts and equations should be used to solve physics problems.
Methods For Solving Incorrectly Posed Problems
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Author : V.A. Morozov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Methods For Solving Incorrectly Posed Problems written by V.A. Morozov 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 Mathematics categories.
Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f € F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D , in a metric space U, with range in a metric space F. The metrics A on U and F will be denoted by P and P ' respectively. Relative u F to the twin spaces U and F, J. Hadamard P-06] gave the following defini tion of correctness: the problem (1) is said to be well-posed (correct, properly posed) if the following conditions are satisfied: (1) The range of the value Q of the operator A coincides with A F ("sol vabi li ty" condition); (2) The equality AU = AU for any u ,u € DA implies the I 2 l 2 equality u = u ("uniqueness" condition); l 2 (3) The inverse operator A-I is continuous on F ("stability" condition). Any reasonable mathematical formulation of a physical problem requires that conditions (1)-(3) be satisfied. That is why Hadamard postulated that any "ill-posed" (improperly posed) problem, that is to say, one which does not satisfy conditions (1)-(3), is non-physical. Hadamard also gave the now classical example of an ill-posed problem, namely, the Cauchy problem for the Laplace equation.
Mathematical Methods For Physics
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Author : Farkhad G. Aliev
language : en
Publisher: CRC Press
Release Date : 2023-08-31
Mathematical Methods For Physics written by Farkhad G. Aliev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-31 with Science categories.
This book presents mathematical tools to solve partial differential equations, typical of physical problems. It explains in a detailed manner the process of solving the problems that typically arise in the context of physics. Although there are a large number of textbooks on this topic, few go so deep into the topic. One of the original and unique features of this book is emphasis on the mathematical formulation of the problems, as well as the analysis of several alternative ways to solve them. Importantly, the book provides a graphical analysis of the results when appropriate. It describes a wide scope of the problems, with detailed solutions and the methods involved, ranging from cases in one to three dimensions, from Cartesian to polar, cylindrical, and spherical coordinates and includes properties and applications of the Fourier transform to solve partial differential equations.
Difference Methods For Solutions Of Problems Of Mathematical Physics I
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Author : Nikolaĭ Nikolaevich I︠A︡nenko
language : en
Publisher: American Mathematical Soc.
Release Date : 1967
Difference Methods For Solutions Of Problems Of Mathematical Physics I written by Nikolaĭ Nikolaevich I︠A︡nenko and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.