A Collection of Problems on Mathematical Physics

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 Collection of Problems on Mathematical Physics

Author: B. M. Budak

Publisher: Elsevier

ISBN: 1483184862

Page: 782

View: 789

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.

Problems and Solutions in Theoretical and Mathematical Physics

Teachers will also find this text useful as a supplement, since important concepts and techniques are developed in the problems. The material was tested in the author's lectures given around the world.The book is divided into two volumes.

Problems and Solutions in Theoretical and Mathematical Physics

Author: Willi-Hans Steeb

Publisher: World Scientific

ISBN: 9789810229443

Page: 323

View: 924

The purpose of this book is to supply a collection of problems together with their detailed solution which will prove to be valuable to students as well as to research workers in the fields of mathematics, physics, engineering and other sciences. The topics range in difficulty from elementary to advanced. Almost all problems are solved in detail and most of the problems are self-contained. All relevant definitions are given. 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. The material was 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 their detailed solutions are collected, to meet the needs of graduate students and researchers. Problems included cover most of the new fields in theoretical and mathematical physics such as Lax representation. Bäcklund transformation, soliton equations, Lie algebra valued differential forms, Hirota technique, Painlevé test, the Bethe ansatz, the Yang-Baxter relation, chaos, fractals, complexity, etc.

Methods for Solving Mathematical Physics Problems

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.

Methods for Solving Mathematical Physics Problems

Author: V. I. Agoshkov

Publisher: Cambridge Int Science Publishing

ISBN: 1904602053

Page: 320

View: 179

The book examines the classic and generally accepted methods for solving mathematical physics problems (method of the potential theory, the eigenfunction method, integral transformation methods, discretisation characterisation methods, splitting methods). A separate chapter is devoted to methods for solving nonlinear equations. The book offers a large number of examples of how these methods are applied to the solution of specific mathematical physics problems, applied in the areas of science and social activities, such as energy, environmental protection, hydrodynamics, theory of elasticity, etc.

Contemporary Problems In Mathematical Physics Proceedings Of The Fourth International Workshop

The contributions in this volume address a variety of contemporary problems in mathematical and theoretical physics.

Contemporary Problems In Mathematical Physics   Proceedings Of The Fourth International Workshop

Author: Jan Govaerts

Publisher: World Scientific

ISBN: 9814477648

Page: 456

View: 530

The COPROMAPH Conference series has now evolved into a significant international arena where fundamental concepts in mathematical and theoretical physics and their applications can be conceived, developed and disseminated. The contributions in this volume address a variety of contemporary problems in mathematical and theoretical physics.

A Study of Solution Multiplicity in Some Problems of Mathematical Physics

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A Study of Solution Multiplicity in Some Problems of Mathematical Physics

Author: George H. Pimbley

Publisher:

ISBN:

Page: 40

View: 690

An eigenvalue problem is introduced for a simple differential equation. This equation, however, contains a nonlinear term with definitely states properties. It is shown, and the methods of proof are described, that instead of getting the familiar properties of the eigenvalues and eigenfunctions of classical linear systems, one obtains rather interesting patterns of finite multiplicity of the solutions.

Mathematical Physics

Overall this book will be a valuable resource for a wide spectrum of students and instructors of mathematical physics.

Mathematical Physics

Author: V. Balakrishnan

Publisher: Springer Nature

ISBN: 3030396800

Page:

View: 507

Mathematical Physics

The Book Is Intended As A Text For Students Of Physics At The Master S Level.

Mathematical Physics

Author: P. K. Chattopadhyay

Publisher: New Age International

ISBN: 9788122402834

Page: 352

View: 199

The Book Is Intended As A Text For Students Of Physics At The Master S Level. It Is Assumed That The Students Pursuing The Course Have Some Knowledge Of Differential Equations And Complex Variables. In Addition, A Knowledge Of Physics Upto At Least The B.Sc. (Honours) Level Is Assumed. Throughout The Book The Applications Of The Mathematical Techniques Developed, To Physics Are Emphasized. Examples Are, To A Large Extent, Drawn From Various Branches Of Physics. The Exercises Provide Further Extensions To Such Applications And Are Often ``Chosen`` To Illustrate And Supplement The Material In The Text. They Thus Form An Essential Part Of The TextDistinguishing Features Of The Book: * Emphasis On Applications To Physics. The Examples And Problems Are Chosen With This Aspect In Mind. * More Than One Hundred Solved Examples And A Large Collection Of Problems In The Exercises. * A Discussion On Non-Linear Differential Equations-A Topic Usually Not Found In Standard Texts. There Is Also A Section Devoted To Systems Of Linear, First Order Differential Equations. * One Full Chapter On Linear Vector Spaces And Matrices. This Chapter Is Essential For The Understanding Of The Mathematical Foundations Of Quantum Mechanics And The Material Can Be Used In A Course Of Quantum Mechanics. * Parts Of Chapter-6 (Greens Function) Will Be Useful In Courses On Electrodynamics And Quantum Mechanics. * One Complete Chapter Is Devoted To Group Theory Within Special Emphasis On The Applications In Physics. The Subject Matter Is Treated In Fairly Great Detail And Can Be Used In A Course On Group Theory.

Partial Differential Equations of Mathematical Physics

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems.

Partial Differential Equations of Mathematical Physics

Author: S. L. Sobolev

Publisher: Courier Corporation

ISBN: 9780486659640

Page: 427

View: 562

This volume presents an unusually accessible introduction to equations fundamental to the investigation of waves, heat conduction, hydrodynamics, and other physical problems. Topics include derivation of fundamental equations, Riemann method, equation of heat conduction, theory of integral equations, Green's function, and much more. The only prerequisite is a familiarity with elementary analysis. 1964 edition.

Boundary Value Problems of Mathematical Physics

For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical ...

Boundary Value Problems of Mathematical Physics

Author: Ivar Stakgold

Publisher: SIAM

ISBN: 0898714567

Page: 748

View: 984

For more than 30 years, this two-volume set has helped prepare graduate students to use partial differential equations and integral equations to handle significant problems arising in applied mathematics, engineering, and the physical sciences. Originally published in 1967, this graduate-level introduction is devoted to the mathematics needed for the modern approach to boundary value problems using Green's functions and using eigenvalue expansions. Now a part of SIAM's Classics series, these volumes contain a large number of concrete, interesting examples of boundary value problems for partial differential equations that cover a variety of applications that are still relevant today. For example, there is substantial treatment of the Helmholtz equation and scattering theory?subjects that play a central role in contemporary inverse problems in acoustics and electromagnetic theory.

Nuclear Science Abstracts

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energy dependeat , 17 : 37764 book : A Collection of Problems on Mathematical
Physics , 19 : 41153 ( T ) book : Advances in Biological and Medical Physics ...

Nuclear Science Abstracts

Author:

Publisher:

ISBN:

Page:

View: 838

Collection of Papers on Geometry Analysis and Mathematical Physics

This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.

Collection of Papers on Geometry  Analysis and Mathematical Physics

Author: T-T Li

Publisher: World Scientific

ISBN: 9814497797

Page: 188

View: 336

This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work. The subjects covered by this collection are closely related to differential geometry, partial differential equations and mathematical physics — the major areas in which Professor Gu has received notable achievements. Many distinguished mathematicians all over the world contributed their papers to this collection. This collection also consists of “Gu Chaohao and I” written by C N Yang, “The academic career and accomplishment of Professor Gu Chaohao” by T T Li and “List of publications of Professor Gu Chaohao”. Contents:A Global Existence Theorem for Ultra Relativistic Fluids on Minkowski Space Time (Y Choquet-Bruhat)Asymptotic Analysis of Elastic Shells (P G Ciarlet)Generalized Solutions Defined by Lebesque–Stieltjies Integrals (X X Ding)Automorphisms of the Circle — and Teichmüller Theory (J Eells)Nonlinear Relativistic Wave Equations in General Dimensions (M Flato et al.)Remarks on the Domain-Dependence of Convergence Rate of Iterations in a Certain Domain Decomposition Method — Analysis by the Steklov–Poincaré Operator (J Fujita)Compactification of Moduli of Vector Bundles Over Algebraic Surfaces (J Li)Analysis on Singular Spaces (F H Lin)A Generic Result of Approximate Controllability (J L Lions)and other papers Readership: Mathematicians. keywords:Geometry;Analysis;Mathematical Physics;Dedication

Equations of Mathematical Physics

DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations.

Equations of Mathematical Physics

Author: A. N. Tikhonov

Publisher: Courier Corporation

ISBN: 0486173364

Page: 800

View: 235

DIVThorough, rigorous advanced-undergraduate to graduate-level treatment of problems leading to partial differential equations. Hyperbolic, parabolic, elliptic equations; wave propagation in space, heat conduction in space, more. Problems. Appendixes. /div

Methods of Mathematical Physics

Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field.

Methods of Mathematical Physics

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 3527617221

Page: 575

View: 758

Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics. The present volume represents Richard Courant's second and final revision of 1953.

Mathematical Physics

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.

Mathematical Physics

Author: Sadri Hassani

Publisher: Springer Science & Business Media

ISBN: 9780387985794

Page: 1026

View: 958

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.

Clifford Algebras and their Applications in Mathematical Physics

Leading experts in the rapidly evolving field of Clifford (geometric) algebras have contributed to this comprehensive two-volume text.

Clifford Algebras and their Applications in Mathematical Physics

Author: Rafał Abłamowicz

Publisher: Springer Science & Business Media

ISBN: 9780817641825

Page: 461

View: 740

Leading experts in the rapidly evolving field of Clifford (geometric) algebras have contributed to this comprehensive two-volume text. Consisting of thematically organized chapters, the volume is a broad overview of cutting-edge topics in mathematical physics and the physical applications of Clifford algebras. Volume I 'Algebra and Physics' is devoted to the mathematical aspects of Clifford algebras and their applications in physics. Algebraic geometry, cohomology, non-commutative spaces, $q$-deformations and the related quantum groups, and projective geometry provide the basis for algebraic topics covered. Physical applications and extensions of physical theories such as the theory of quaternionic spin, Dirac theory of electron, plane waves and wave packets in electrodynamics, and electron scattering are also presented, showing the broad applicability of Clifford geometric algebras in solving physical problems. Treatment of the structure theory of quantum Clifford algebras, twistor phase space, introduction of a Kaluza--Klein type theory related to Finsler geometry, the connection to logic, group representations, and computational techniques--including symbolic calculations and theorem proving--round out the presentation. Volume 2 'Clifford Analysis' is an up-to-date survey of most aspects of modern-day Clifford analysis. Topics range from applications such as complex-distance potential theory, supersymmetry, and fluid dynamics to Fourier analysis, the study of boundary value problems, and applications to mathematical physics and Schwarzian derivatives in Euclidean space. Among the mathematical topics examined are generalized Dirac operators, monogenic and hypermonogenic functions and their derivatives, Euclidean Beltrami equations, Fourier theory under M\'{o}bius transformations, and applications to operator theory and scattering theory. Given the careful balance of mathematical theory and applications to physics, the two volumes are accessible to graduate students and specialists in the general area of Clifford algebras and their applications.

Elements of Analytical Dynamics

BERMAN-A Collection of Problems on a Course of Mathematical Analysis 65. ...
and Almost Complex Spaces MIKHLIN–Variational Methods in Mathematical
Physics FUCHs and SHABAT—Functions of a Complex Variable and Some of
their ...

Elements of Analytical Dynamics

Author: Rudolph Kurth

Publisher: Elsevier

ISBN: 1483151727

Page: 192

View: 437

Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.