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Author : Boris Mikhaĭlovich Budak
Publisher :
ISBN 13 :
Total Pages : 792 pages
Book Rating : 4.3/5 (91 download)
Download or read book A Collection of Problems on Mathematical Physics written by Boris Mikhaĭlovich Budak and published by . This book was released on 1964 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vasilij S. Vladimirov
Publisher : Springer Science & Business Media
ISBN 13 : 3662055589
Total Pages : 288 pages
Book Rating : 4.6/5 (62 download)
Download or read book A Collection of Problems on the Equations of Mathematical Physics written by Vasilij S. Vladimirov and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The extensive application of modern mathematical teehniques to theoretical and mathematical physics requires a fresh approach to the course of equations of mathematical physics. This is especially true with regards to such a fundamental concept as the 80lution of a boundary value problem. The concept of a generalized solution considerably broadens the field of problems and enables solving from a unified position the most interesting problems that cannot be solved by applying elassical methods. To this end two new courses have been written at the Department of Higher Mathematics at the Moscow Physics anrl Technology Institute, namely, "Equations of Mathematical Physics" by V. S. Vladimirov and "Partial Differential Equations" by V. P. Mikhailov (both books have been translated into English by Mir Publishers, the first in 1984 and the second in 1978). The present collection of problems is based on these courses and amplifies them considerably. Besides the classical boundary value problems, we have ineluded a large number of boundary value problems that have only generalized solutions. Solution of these requires using the methods and results of various branches of modern analysis. For this reason we have ineluded problems in Lebesgue in tegration, problems involving function spaces (especially spaces of generalized differentiable functions) and generalized functions (with Fourier and Laplace transforms), and integral equations.
Author : Boris Mikha?lovich Budak
Publisher : Courier Corporation
ISBN 13 : 0486658066
Total Pages : 802 pages
Book Rating : 4.4/5 (866 download)
Download or read book A Collection of Problems in Mathematical Physics written by Boris Mikha?lovich Budak and published by Courier Corporation. This book was released on 1964-01-01 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Outstanding, wide-ranging material on classification and reduction to canonical form of second-order differential equations; hyperbolic, parabolic, elliptic equations, more. Bibliography.
Author : B. M. Budak
Publisher : Elsevier
ISBN 13 : 1483184862
Total Pages : 782 pages
Book Rating : 4.4/5 (831 download)
Download or read book A Collection of Problems on Mathematical Physics written by B. M. Budak and published by Elsevier. This book was released on 2013-10-22 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Collection of Problems on Mathematical Physics is a translation from the Russian and deals with problems and equations of mathematical physics. The book contains problems and solutions. The book discusses problems on the derivation of equations and boundary condition. These Problems are arranged on the type and reduction to canonical form of equations in two or more independent variables. The equations of hyperbolic type concerns derive from problems on vibrations of continuous media and on electromagnetic oscillations. The book considers the statement and solutions of boundary value problems pertaining to equations of parabolic types when the physical processes are described by functions of two, three or four independent variables such as spatial coordinates or time. The book then discusses dynamic problems pertaining to the mechanics of continuous media and problems on electrodynamics. The text also discusses hyperbolic and elliptic types of equations. The book is intended for students in advanced mathematics and physics, as well as, for engineers and workers in research institutions.
Author : Boris Mihajlovǐc Budak
Publisher :
ISBN 13 :
Total Pages : 770 pages
Book Rating : 4.:/5 (799 download)
Download or read book A Collection of Problems on Mathematical Physics written by Boris Mihajlovǐc Budak and published by . This book was released on 1964 with total page 770 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steeb Willi-hans
Publisher : World Scientific
ISBN 13 : 9813275391
Total Pages : 736 pages
Book Rating : 4.8/5 (132 download)
Download or read book Theoretical and Mathematical Physics written by Steeb Willi-hans and published by World Scientific. This book was released on 2018-08-23 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Philip Russell Wallace
Publisher : Courier Corporation
ISBN 13 : 0486646769
Total Pages : 644 pages
Book Rating : 4.4/5 (866 download)
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.
Author : Giampaolo Cicogna
Publisher : Springer Nature
ISBN 13 : 3030594726
Total Pages : 227 pages
Book Rating : 4.0/5 (35 download)
Download or read book Exercises and Problems in Mathematical Methods of Physics written by Giampaolo Cicogna and published by Springer Nature. This book was released on 2020-10-30 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible.
Author : Global Express Ltd. Co.
Publisher : CRC Press
ISBN 13 : 9780824719876
Total Pages : 736 pages
Book Rating : 4.7/5 (198 download)
Download or read book Methods for Solving Inverse Problems in Mathematical Physics written by Global Express Ltd. Co. and published by CRC Press. This book was released on 2000-03-21 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, applications of functional analysis, and semigroup theory.
Author : Michail M. Lavrentiev
Publisher : Springer Science & Business Media
ISBN 13 : 3642882102
Total Pages : 76 pages
Book Rating : 4.6/5 (428 download)
Download or read book Some Improperly Posed Problems of Mathematical Physics written by Michail M. Lavrentiev and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the problems of mathematical physics which are improperly posed in the sense of Hadamard. The first part covers various approaches to the formulation of improperly posed problems. These approaches are illustrated by the example of the classical improperly posed Cauchy problem for the Laplace equation. The second part deals with a number of problems of analytic continuations of analytic and harmonic functions. The third part is concerned with the investigation of the so-called inverse problems for differential equations in which it is required to determine a dif ferential equation from a certain family of its solutions. Novosibirsk June, 1967 M. M. LAVRENTIEV Table of Contents Chapter I Formu1ation of some Improperly Posed Problems of Mathematic:al Physics § 1 Improperly Posed Problems in Metric Spaces. . . . . . . . . § 2 A Probability Approach to Improperly Posed Problems. . . 8 Chapter II Analytic Continuation § 1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 § 2 The Cauchy Problem for the Laplace Equation . . . . . . . 18 § 3 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity. . . . . . . . . . . . . 22 § 4 Analytic Continuation of a Function of Two Real Variables 32 § 5 Analytic Continuation of Harmonic Functions from a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 § 6 Analytic Continuation of Harmonic Function with Cylin drical Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . 42 Chapter III Inverse Problems for Differential Equations § 1 The Inverse Problem for a Newtonian Potential . . . . . . .
Author : Andreĭ Vasilʹevich Bit︠s︡adze
Publisher : Springer
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (42 download)
Download or read book A Collection of Problems on the Equations of Mathematical Physics written by Andreĭ Vasilʹevich Bit︠s︡adze and published by Springer. This book was released on 1986 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : O.A. Ladyzhenskaya
Publisher : Springer Science & Business Media
ISBN 13 : 1475743173
Total Pages : 350 pages
Book Rating : 4.4/5 (757 download)
Download or read book The Boundary Value Problems of Mathematical Physics written by O.A. Ladyzhenskaya and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the present edition I have included "Supplements and Problems" located at the end of each chapter. This was done with the aim of illustrating the possibilities of the methods contained in the book, as well as with the desire to make good on what I have attempted to do over the course of many years for my students-to awaken their creativity, providing topics for independent work. The source of my own initial research was the famous two-volume book Methods of Mathematical Physics by D. Hilbert and R. Courant, and a series of original articles and surveys on partial differential equations and their applications to problems in theoretical mechanics and physics. The works of K. o. Friedrichs, which were in keeping with my own perception of the subject, had an especially strong influence on me. I was guided by the desire to prove, as simply as possible, that, like systems of n linear algebraic equations in n unknowns, the solvability of basic boundary value (and initial-boundary value) problems for partial differential equations is a consequence of the uniqueness theorems in a "sufficiently large" function space. This desire was successfully realized thanks to the introduction of various classes of general solutions and to an elaboration of the methods of proof for the corresponding uniqueness theorems. This was accomplished on the basis of comparatively simple integral inequalities for arbitrary functions and of a priori estimates of the solutions of the problems without enlisting any special representations of those solutions.
Author : W.-H. Steeb
Publisher : World Scientific
ISBN 13 : 9789812389893
Total Pages : 228 pages
Book Rating : 4.3/5 (898 download)
Download or read book Problems & Solutions in Theoretical & Mathematical Physics: Introductory level written by W.-H. Steeb and published by World Scientific. This book was released on 2003 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of problems with detailed solutions which will prove valuable to students and research workers in mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced level. Almost all the problems are solved in detail and most of them are self-contained. All relevant definitions are given. Students can learn important principles and strategies required for problem solving. Teachers will find this text useful as a supplement, since important concepts and techniques are developed through the problems. The material has been tested in the author's lectures given around the world. The book is divided into two volumes. Volume I presents the introductory problems, for undergraduate and advanced undergraduate students. In Volume II, the more advanced problems, together with detailed solutions, are collected, to meet the needs of graduate students and researchers. The problems included cover most of the new fields in theoretical and mathematical physics, such as Lax representation, Backlund transformation, soliton equations, Lie-algebra-valued differential forms, the Hirota technique, the Painleve test, the Bethe ansatz, the Yang -- Baxter relation, chaos, fractals, complexity, etc.
Author : A. N. Tikhonov
Publisher : Courier Corporation
ISBN 13 : 0486173364
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)
Download or read book Equations of Mathematical Physics written by A. N. Tikhonov and published by Courier Corporation. This book was released on 2013-09-16 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.
Author : Sadri Hassani
Publisher : Springer Science & Business Media
ISBN 13 : 9780387985794
Total Pages : 1052 pages
Book Rating : 4.9/5 (857 download)
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.
Author : Paul J. Nahin
Publisher : Princeton University Press
ISBN 13 : 1400839580
Total Pages : 406 pages
Book Rating : 4.4/5 (8 download)
Download or read book Number-Crunching written by Paul J. Nahin and published by Princeton University Press. This book was released on 2011-08-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.
Author : A. A. Samarskii
Publisher : Walter de Gruyter
ISBN 13 : 3110205793
Total Pages : 453 pages
Book Rating : 4.1/5 (12 download)
Download or read book Numerical Methods for Solving Inverse Problems of Mathematical Physics written by A. A. Samarskii and published by Walter de Gruyter. This book was released on 2008-08-27 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
