REFERENCES I. General Courses and Collections of Problems on the Equations
of Mathematical Physics 1. A. N. KRYLOV, On some differential equations in mathematical physics, having an application in technical problems (O nekotorykh
...

Author: B. M. Budak

Publisher: Elsevier

ISBN: 9781483184869

Category: Science

Page: 782

View: 645

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.

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.

Author: Willi-Hans Steeb

Publisher: World Scientific

ISBN: 9810229445

Category: Science

Page: 323

View: 862

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.

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.

Author: V. I. Agoshkov

Publisher: Cambridge Int Science Publishing

ISBN: 9781904602057

Category: Science

Page: 320

View: 988

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.

where , to get the whole collection , we let w run over all the eigenn functions W.
in rm ) . { wente The eigenvalues ( xy ( ) } of the associated eigenfunctions ( vn ) .
We may plot these functions on form a collection of functions of the norms αλ - r ...

Author: George H. Pimbley

Publisher:

ISBN: UOM:39015086458190

Category: Differential equations

Page: 40

View: 503

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.

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

Author: P. K. Chattopadhyay

Publisher: New Age International

ISBN: 8122402836

Category: Mathematical physics

Page: 352

View: 947

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.

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

Author: S. L. Sobolev

Publisher: Courier Corporation

ISBN: 048665964X

Category: Science

Page: 427

View: 417

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.

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 ...

Author: Ivar Stakgold

Publisher: SIAM

ISBN: 9780898714562

Category: Science

Page: 748

View: 968

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.

I , 16 : 7340 ( XDC - 60-4-2 ) Boltzmana equation in plane geometry , solution of
energy dependeat , 17 : 37764 book : A Collection of Problems on Mathematical Physics , 19 : 41153 ( T ) book : Advances in Biological and Medical 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.

Author: Richard Courant

Publisher: John Wiley & Sons

ISBN: 9783527617227

Category: Science

Page: 575

View: 104

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.

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

Author: A. N. Tikhonov

Publisher: Courier Corporation

ISBN: 9780486173368

Category: Science

Page: 800

View: 751

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

Author: Modest Mikhaĭlovich SmirnovPublish On: 1966

PREFACE The aim of the present collection of problems is to illustrate the theory
of partial differential equations as it is given in various textbooks . The problems
of this collection are divided in three paragraphs . The first paragraph contains ...

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.

Author: Sadri Hassani

Publisher: Springer Science & Business Media

ISBN: 0387985794

Category: Science

Page: 1026

View: 809

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.

This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang.

Author: Molin Ge

Publisher: World Scientific Publishing Company

ISBN: 9789814340960

Category: Science

Page: 596

View: 985

This unique volume summarizes with a historical perspective several of the major scientific achievements of Ludwig Faddeev, with a foreword by Nobel Laureate C N Yang. The volume that spans over fifty years of Faddeev's career begins where he started his own scientific research, in the subject of scattering theory and the three-body problem. It then continues to describe Faddeev's contributions to automorphic functions, followed by an extensive account of his many fundamental contributions to quantum field theory including his original article on ghosts with Popov. Faddeev's contributions to soliton theory and integrable models are then described, followed by a survey of his work on quantum groups. The final scientific section is devoted to Faddeev's contemporary research including articles on his long-term interest in constructing knotted solitons and understanding confinement. The volume concludes with his personal view on science and mathematical physics in particular.

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 ...

Author: Rudolph Kurth

Publisher: Elsevier

ISBN: 9781483151724

Category: Mathematics

Page: 192

View: 367

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.

By Profes . sor KLEIN : Introduction into the theory of differential equations ;
Seminar in mathematical physics . - By Professor ... By Professor NEUMANN :
Selected chapters of the theory of functions ; Discussion of mathematical problems .

The method of development in series which has enabled us in the preceding
chapters to solve problems in various branches of mathematical physics , had its
origin , as might have been expected , in the theory of the musical vibrations of a
...