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Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics



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Автор: Muskhelishvili N. I.
Название:  Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics
ISBN: 9780486462424
Издательство: Dover
Классификация:
ISBN-10: 0486462420
Обложка/Формат: Paperback
Страницы: 464
Вес: 0.484 кг.
Дата издания: 19.05.2008
Серия: Dover books on physics
Язык: English
Издание: 2 ed
Иллюстрации: Illustrations
Размер: 5 3/8 x 8 1/2 inch
Читательская аудитория: General (us: trade)
Подзаголовок: Boundary problems of function theory and their application to mathematical physics
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Поставляется из: США



Initial Boundary Value Problems in Mathematical Physics

Автор: Leis, Rolf
Название: Initial Boundary Value Problems in Mathematical Physics
ISBN: 0486497410 ISBN-13(EAN): 9780486497419
Издательство: Dover
Рейтинг:
Цена: 1718 р.
Наличие на складе: Нет в наличии.

Описание: An introduction to both classical scattering theory and to the time-dependent theory of linear equations in mathematical physics, this text is suitable for advanced undergraduates and graduate students of physics and applied mathematics. Topics include proof of the existence of wave operators, some special equations of mathematical physics -- including Maxwell equations, the linear equations of elasticity and thermoelasticity, and the plate equation -- exterior boundary value problems, radiation conditions, and limiting absorption principles.
The self-contained treatment provides background for a complete understanding of all concepts, and an extensive reference list offers suggestions for further reading. Based on the author's lectures at the University of Bonn in 1983-84, this volume will prove useful to researchers as well as students.

Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics

Автор: Muskhelishvili N. I.
Название: Singular Integral Equations: Boundary Problems of Function Theory and Their Application to Mathematical Physics
ISBN: 0486668932 ISBN-13(EAN): 9780486668932
Издательство: Dover
Цена: 2868 р.
Наличие на складе: Нет в наличии.

Partial Differential Equations of Mathematical Physics and Integral Equations

Автор: Guenther, Ronald B.
Название: Partial Differential Equations of Mathematical Physics and Integral Equations
ISBN: 0486688895 ISBN-13(EAN): 9780486688893
Издательство: Dover
Рейтинг:
Цена: 3328 р.
Наличие на складе: Нет в наличии.

Описание: This book was written to help mathematics students and those in the physical sciences learn modern mathematical techniques for setting up and analyzing problems. The mathematics used is rigorous, but not overwhelming, while the authors carefully model physical situations, emphasizing feedback among a beginning model, physical experiments, mathematical predictions, and the subsequent refinement and reevaluation of the physical model itself.
Chapter 1 begins with a discussion of various physical problems and equations that play a central role in applications. The following chapters take up the theory of partial differential equations, including detailed discussions of uniqueness, existence, and continuous dependence questions, as well as techniques for constructing conclusions. Specifically, Chapters 2 through 6 deal with problems in one spatial dimension. Chapter 7 is a detailed introduction to the theory of integral equations; then Chapters 8 through 12 treat problems in more spatial variables. Each chapter begins with a discussion of problems that can be treated by elementary means, such as separation of variables or integral transforms, and which lead to explicit, analytical representations of solutions. The minimal mathematical prerequisites for a good grasp of the material in this book are a course in advanced calculus, or an advanced course in science or engineering, and a basic exposure to matrix methods. Students of mathematics, physics, engineering, and other disciplines will find here an excellent guide to mathematical problem-solving techniques with a broad range of applications. For this edition the authors have provided a new section of Solutions and Hints to selected Problems. Suggestions for further reading complete the text.

Boundary and Eigenvalue Problems in Mathematical Physics

Автор: Sagan, Hans
Название: Boundary and Eigenvalue Problems in Mathematical Physics
ISBN: 0486661326 ISBN-13(EAN): 9780486661322
Издательство: Dover
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Цена: 2293 р.
Наличие на складе: Невозможна поставка.

Описание:

This well-known text uses a limited number of basic concepts and techniques -- Hamilton's principle, the theory of the first variation and Bernoulli's separation method -- to develop complete solutions to linear boundary value problems associated with second order partial differential equations such as the problems of the vibrating string, the vibrating membrane, and heat conduction. It is directed to advanced undergraduate and beginning graduate students in mathematics, applied mathematics, physics, and engineering who have completed a course in advanced calculus.
In the first three chapters, Professor Sagan introduces Hamilton's principle and the theory of the first variation; he then discusses the representation of the vibrating string, the vibrating membrane and heat conduction (without convection) by partial differential equations. Bernoulli's separation method and infinite series solutions of homogeneous boundary value problems are introduced as a means for solving these problems.
The next three chapters take up Fourier series, self-adjoint boundary value problems, Legendre polynomials, and Bessel functions. The concluding three chapters address the characterization of eigenvalues by a variational principle; spherical harmonics, and the solution of the Schroedinger equation for the hydrogen atom; and the nonhomogeneous boundary value problem. Professor Sagan concludes most sections of this excellent text with selected problems (solutions provided for even-numbered problems) to reinforce the reader's grasp of the theories and techniques presented.

A Course in Mathematical Analysis Volume 3: Variation of Solutions; Partial Differential Equations of the Second Order; Integral Equations; Calculus of Variations

Автор: Goursat Edouard
Название: A Course in Mathematical Analysis Volume 3: Variation of Solutions; Partial Differential Equations of the Second Order; Integral Equations; Calculus of Variations
ISBN: 0486446522 ISBN-13(EAN): 9780486446523
Издательство: Dover
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Цена: 9771 р.
Наличие на складе: Нет в наличии.

Partial Differential Equations of Mathematical Physics: Second Edition

Автор: Webster, Arthur
Название: Partial Differential Equations of Mathematical Physics: Second Edition
ISBN: 0486805158 ISBN-13(EAN): 9780486805153
Издательство: Dover
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Цена: 3443 р.
Наличие на складе: Нет в наличии.

Описание: A classic treatise on partial differential equations, this comprehensive work by one of America's greatest early mathematical physicists covers the basic method, theory, and application of partial differential equations. In addition to its value as an introductory and supplementary text for students, this volume constitutes a fine reference for mathematicians, physicists, and research engineers.
Detailed coverage includes Fourier series; integral and elliptic equations; spherical, cylindrical, and ellipsoidal harmonics; Cauchy's method; boundary problems; the Riemann-Volterra method; and many other basic topics. The self-contained treatment fully develops the theory and application of partial differential equations to virtually every relevant field: vibration, elasticity, potential theory, the theory of sound, wave propagation, heat conduction, and many more. A helpful Appendix provides background on Jacobians, double limits, uniform convergence, definite integrals, complex variables, and linear differential equations.

Partial Differential Equations of Mathematical Physics

Автор: Sobolev S. L.
Название: Partial Differential Equations of Mathematical Physics
ISBN: 048665964X ISBN-13(EAN): 9780486659640
Издательство: Dover
Рейтинг:
Цена: 2523 р.
Наличие на складе: Нет в наличии.

Kernel Functions and Elliptic Differential Equations in Mathematical Physics

Автор: Bergman Stefan
Название: Kernel Functions and Elliptic Differential Equations in Mathematical Physics
ISBN: 0486445534 ISBN-13(EAN): 9780486445533
Издательство: Dover
Рейтинг:
Цена: 2868 р.
Наличие на складе: Нет в наличии.

Описание: This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides a systematic and self-contained introduction to each branch of the applications it employs.
The two-part treatment begins with a survey of boundary value problems occurring in certain branches of theoretical physics. It introduces fundamental solutions in a heuristic way and examines their physical significance. Many concepts can be unified by concentrating upon these particular kernels, and the text explains the common mathematical background of widely varying theories, such as those of heat conduction, hydrodynamics, electrostatics, magnetostatics, and elasticity. In addition to its intrinsic interest, this material provides illustrations and exact mathematical formulation of the problems and the methods. The second part is confined to a rather special type of partial differential equation, which is dealt with in the greatest detail so that students can make applications and generalizations to similar problems.

An Elementary Treatise on Fourier`s Series: and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics

Автор: Byerly William Elwood
Название: An Elementary Treatise on Fourier`s Series: and Spherical, Cylindrical, and Ellipsoidal Harmonics, with Applications to Problems in Mathematical Physics
ISBN: 0486495469 ISBN-13(EAN): 9780486495460
Издательство: Dover
Рейтинг:
Цена: 6035 р.
Наличие на складе: Нет в наличии.

Описание: One of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics, this classic offers a basic but thorough treatment of material that is assumed in many other studies but rarely available in concise form. Includes 190 problems, approximately half with answers. 1893 edition.

A Collection of Problems in Mathematical Physics

Автор: Budak
Название: A Collection of Problems in Mathematical Physics
ISBN: 0486658066 ISBN-13(EAN): 9780486658063
Издательство: Dover
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Цена: 4017 р.
Наличие на складе: Нет в наличии.

Описание: Based on practical work with mathematical physics done in the Physics Department of Moscow State University, this outstanding text by three of the Faculty's distinguished members focuses on a wide range of problems. Chapters are divided according to the method of solution -- thereby giving students the opportunity, through independent work, to gain elementary problem-solving skills where mathematical physics equations are concerned.
In addition, there is a supplement devoted to the special coordinate systems of mathematical physics, together with a section devoted to special functions.
Designed not only for students but for engineers and research workers, this volume includes an exceptionally useful selection of problems, a number of which are accompanied by detailed instructions and solutions.

Автор: Tikhonov, A. N.
Название: Equations of Mathematical Physics
ISBN: 048678634X ISBN-13(EAN): 9780486786346
Издательство: Dover
Цена: 6891 р.
Наличие на складе: Нет в наличии.

Mathematical Conversations: Multicolor Problems, Problems in the Theory of Numbers, and Random Walks

Автор: Dynkin E.
Название: Mathematical Conversations: Multicolor Problems, Problems in the Theory of Numbers, and Random Walks
ISBN: 0486453510 ISBN-13(EAN): 9780486453514
Издательство: Dover
Рейтинг:
Цена: 1948 р.
Наличие на складе: Нет в наличии.

Описание: Combining three books into a single volume, this text comprises Multicolor Problems, dealing with several of the classical map-coloring problems; Problems in the Theory of Numbers, an elementary introduction to algebraic number theory; and Random Walks, addressing basic problems in probability theory. The book's primary aim is not so much to impart new information as to teach an active, creative attitude toward mathematics. The sole prerequisites are high-school algebra and (for Multicolor Problems) a familiarity with the methods of mathematical induction. The book is designed for the reader's active participation. The problems are carefully integrated into the text and should be solved in order. Although they are basic, they are by no means elementary. Some sequences of problems are geared toward the mastery of a new method, rather than a definitive result, and others are practice exercises, designed to introduce new concepts. Complete solutions appear at the end.


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