Methods For Solving Mathematical Physics Problems

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Methods for Solving Mathematical Physics Problems

Author : Valeriĭ Ivanovich Agoshkov
Publisher : Cambridge Int Science Publishing
ISBN 13 : 1904602053
Total Pages : 335 pages
Book Rating : 4.9/5 (46 download)

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Book Synopsis Methods for Solving Mathematical Physics Problems by : Valeriĭ Ivanovich Agoshkov

Download or read book Methods for Solving Mathematical Physics Problems written by Valeriĭ Ivanovich Agoshkov and published by Cambridge Int Science Publishing. This book was released on 2006 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Inverse Problems in Mathematical Physics

Author : Global Express Ltd. Co.
Publisher : CRC Press
ISBN 13 : 9780824719876
Total Pages : 736 pages
Book Rating : 4.7/5 (198 download)

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Book Synopsis Methods for Solving Inverse Problems in Mathematical Physics by : Global Express Ltd. Co.

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.

Methods For Solving Mathematical Physics Problems

Author : Agoshkov
Publisher :
ISBN 13 : 9788130909417
Total Pages : pages
Book Rating : 4.9/5 (94 download)

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Book Synopsis Methods For Solving Mathematical Physics Problems by : Agoshkov

Download or read book Methods For Solving Mathematical Physics Problems written by Agoshkov and published by . This book was released on 2008-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods for Solving Inverse Problems of Mathematical Physics

Author : A. A. Samarskii
Publisher : Walter de Gruyter
ISBN 13 : 3110205793
Total Pages : 453 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Numerical Methods for Solving Inverse Problems of Mathematical Physics by : A. A. Samarskii

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.

Difference Methods for Solutions of Problems of Mathematical Physics. I

Author : Nikolaĭ Nikolaevich I︠A︡nenko
Publisher : American Mathematical Soc.
ISBN 13 : 9780821818749
Total Pages : 204 pages
Book Rating : 4.8/5 (187 download)

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Book Synopsis Difference Methods for Solutions of Problems of Mathematical Physics. I by : Nikolaĭ Nikolaevich I︠A︡nenko

Download or read book Difference Methods for Solutions of Problems of Mathematical Physics. I written by Nikolaĭ Nikolaevich I︠A︡nenko and published by American Mathematical Soc.. This book was released on 1967 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Training in Mathematics

Author : R. Shankar
Publisher : Springer
ISBN 13 : 1489967982
Total Pages : 371 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Basic Training in Mathematics by : R. Shankar

Download or read book Basic Training in Mathematics written by R. Shankar and published by Springer. This book was released on 2013-12-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences.

A Collection of Problems on Mathematical Physics

Author : B. M. Budak
Publisher : Elsevier
ISBN 13 : 1483184862
Total Pages : 783 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis A Collection of Problems on Mathematical Physics by : B. M. Budak

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 783 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.

A Handbook of Mathematical Methods and Problem-Solving Tools for Introductory Physics

Author : Joshua F Whitney
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681742810
Total Pages : 70 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis A Handbook of Mathematical Methods and Problem-Solving Tools for Introductory Physics by : Joshua F Whitney

Download or read book A Handbook of Mathematical Methods and Problem-Solving Tools for Introductory Physics written by Joshua F Whitney and published by Morgan & Claypool Publishers. This book was released on 2016-11-01 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Author : Volodymyr Makarov
Publisher : John Wiley & Sons
ISBN 13 : 1394276656
Total Pages : 356 pages
Book Rating : 4.3/5 (942 download)

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Book Synopsis Traditional Functional-Discrete Methods for the Problems of Mathematical Physics by : Volodymyr Makarov

Download or read book Traditional Functional-Discrete Methods for the Problems of Mathematical Physics written by Volodymyr Makarov and published by John Wiley & Sons. This book was released on 2024-02-23 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Problems And Solutions

Author : Willi-hans Steeb
Publisher : World Scientific
ISBN 13 : 9813275391
Total Pages : 734 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Theoretical And Mathematical Physics: Problems And Solutions by : Willi-hans Steeb

Download or read book Theoretical And Mathematical Physics: Problems And Solutions written by Willi-hans Steeb and published by World Scientific. This book was released on 2018-08-23 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'This is an excellent, well-written and very comprehensive book covering many topics of mathematics and physics. An exhaustive collection of problems with detailed solutions that may be valuable to students and young researchers in several fields, ranging from Mathematics to Quantum Physics is presented … I found the book helpful in regards to several subjects that are not covered in other mathematical physics introductory textbooks.'Contemporary PhysicsThis 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.

Equations in Mathematical Physics

Author : Victor P. Pikulin
Publisher : Springer Science & Business Media
ISBN 13 : 3034802676
Total Pages : 215 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Equations in Mathematical Physics by : Victor P. Pikulin

Download or read book Equations in Mathematical Physics written by Victor P. Pikulin and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution.The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.

Methods for Solving Inverse Problems in Mathematical Physics

Author : Global Express Ltd. Co.
Publisher : CRC Press
ISBN 13 : 148229298X
Total Pages : 732 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Methods for Solving Inverse Problems in Mathematical Physics by : Global Express Ltd. Co.

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 732 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, app

Mathematical Methods For Physics

Author : H. W. Wyld
Publisher : CRC Press
ISBN 13 : 0429978642
Total Pages : 395 pages
Book Rating : 4.4/5 (299 download)

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Book Synopsis Mathematical Methods For Physics by : H. W. Wyld

Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

Traditional Functional-Discrete Methods for the Problems of Mathematical Physics

Author : Volodymyr Makarov
Publisher : John Wiley & Sons
ISBN 13 : 1786309335
Total Pages : 356 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Traditional Functional-Discrete Methods for the Problems of Mathematical Physics by : Volodymyr Makarov

Download or read book Traditional Functional-Discrete Methods for the Problems of Mathematical Physics written by Volodymyr Makarov and published by John Wiley & Sons. This book was released on 2024-04-02 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Method of Fractional Steps

Author : Nikolaj N. Yanenko
Publisher : Springer Science & Business Media
ISBN 13 : 3642651089
Total Pages : 169 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis The Method of Fractional Steps by : Nikolaj N. Yanenko

Download or read book The Method of Fractional Steps written by Nikolaj N. Yanenko and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The method of. fractional steps, known familiarly as the method oi splitting, is a remarkable technique, developed by N. N. Yanenko and his collaborators, for solving problems in theoretical mechanics numerically. It is applicable especially to potential problems, problems of elasticity and problems of fluid dynamics. Most of the applications at the present time have been to incompressible flow with free bound aries and to viscous flow at low speeds. The method offers a powerful means of solving the Navier-Stokes equations and the results produced so far cover a range of Reynolds numbers far greater than that attained in earlier methods. Further development of the method should lead to complete numerical solutions of many of the boundary layer and wake problems which at present defy satisfactory treatment. As noted by the author very few applications of the method have yet been made to problems in solid mechanics and prospects for answers both in this field and other areas such as heat transfer are encouraging. As the method is perfected it is likely to supplant traditional relaxation methods and finite element methods, especially with the increase in capability of large scale computers. The literal translation was carried out by T. Cheron with financial support of the Northrop Corporation. The editing of the translation was undertaken in collaboration with N. N. Yanenko and it is a plea sure to acknowledge his patient help and advice in this project. The edited manuscript was typed, for the most part, by Mrs.

Professor Povey's Perplexing Problems

Author : Thomas Povey
Publisher :
ISBN 13 : 9781780747767
Total Pages : pages
Book Rating : 4.7/5 (477 download)

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Book Synopsis Professor Povey's Perplexing Problems by : Thomas Povey

Download or read book Professor Povey's Perplexing Problems written by Thomas Povey and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Analysis of Physical Problems

Author : Philip Russell Wallace
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.