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Variational Methods for Boundary Value Problems for Systems of Elliptic Equations



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Автор: Lavrent`ev, M. A.
Название:  Variational Methods for Boundary Value Problems for Systems of Elliptic Equations
ISBN: 9780486661704
Издательство: Dover
Классификация:
ISBN-10: 0486661709
Обложка/Формат: Paperback
Страницы: 160
Вес: 0.198 кг.
Дата издания: 20.01.2016
Серия: Mathematics
Язык: English
Размер: 217 x 138 x 9
Основная тема: Applied
Поставляется из: США



Splines and Variational Methods

Автор: Prenter P.
Название: Splines and Variational Methods
ISBN: 0486469026 ISBN-13(EAN): 9780486469027
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Нет в наличии.

Variational Analysis: Critical Extremals and Sturmian Extensions

Автор: Morse Marston
Название: Variational Analysis: Critical Extremals and Sturmian Extensions
ISBN: 0486457877 ISBN-13(EAN): 9780486457871
Издательство: Dover
Рейтинг:
Цена: 1718 р.
Наличие на складе: Нет в наличии.

Описание: This text presents extended separation, comparison, and oscillation theorems that replace the classical analysis of Legendre, Jacobi, Hilbert, and others. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing extremals.
Author Marston Morse is renowned for his development of a version of variational theory with applications to equilibrium problems in mathematical physics--the theory known as Morse theory, which forms a vital role in global analysis. He begins this treatment of variational analysis with an extended investigation of critical extremals that proceeds to quadratic index forms, advanced and free. Additional topics include focal conditions and Sturm-like theorems, general boundary conditions, and prestructures for characteristic root theory. A helpful pair of appendixes include supplementary information on free linear conditions and subordinate quadratic forms and their complementary forms.

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.

Approximation of Elliptic Boundary-Value Problems

Автор: Aubin Jean-Pierre
Название: Approximation of Elliptic Boundary-Value Problems
ISBN: 0486457915 ISBN-13(EAN): 9780486457918
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Нет в наличии.

Описание: A marriage of the finite-differences method with variational methods for solving boundary-value problems, the finite-element method is superior in many ways to finite-differences alone. This self-contained text for advanced undergraduates and graduate students is intended to imbed this combination of methods into the framework of functional analysis. 1980 edition.

The Variational Principles of Mechanics

Автор: Lanczos, Cornelius
Название: The Variational Principles of Mechanics
ISBN: 0486650677 ISBN-13(EAN): 9780486650678
Издательство: Dover
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Цена: 2638 р.
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Описание:

Analytical mechanics is, of course, a topic of perennial interest and usefulness in physics and engineering, a discipline that boasts not only many practical applications, but much inherent mathematical beauty. Unlike many standard textbooks on advanced mechanics, however, this present text eschews a primarily technical and formalistic treatment in favor of a fundamental, historical, philosophical approach. As the author remarks, there is a tremendous treasure of philosophical meaning" behind the great theories of Euler and Lagrange, Hamilton, Jacobi, and other mathematical thinkers.
Well-written, authoritative, and scholarly, this classic treatise begins with an introduction to the variational principles of mechanics including the procedures of Euler, Lagrange, and Hamilton.
Ideal for a two-semester graduate course, the book includes a variety of problems, carefully chosen to familiarize the student with new concepts and to illuminate the general principles involved. Moreover, it offers excellent grounding for the student of mathematics, engineering, or physics who does not intend to specialize in mechanics, but wants a thorough grasp of the underlying principles.
The late Professor Lanczos (Dublin Institute of Advanced Studies) was a well-known physicist and educator who brought a superb pedagogical sense and profound grasp of the principles of mechanics to this work, now available for the first time in an inexpensive Dover paperback edition. His book will be welcomed by students, physicists, engineers, mathematicians, and anyone interested in a clear masterly exposition of this all-important discipline.

Nonlinear Potential Theory of Degenerate Elliptic Equations

Автор: Heinonen Juha
Название: Nonlinear Potential Theory of Degenerate Elliptic Equations
ISBN: 0486450503 ISBN-13(EAN): 9780486450506
Издательство: Dover
Цена: 2293 р.
Наличие на складе: Нет в наличии.

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.

Variational Principles in Dynamics and Quantum Theory

Автор: Yourgrau Wolfgang
Название: Variational Principles in Dynamics and Quantum Theory
ISBN: 0486637735 ISBN-13(EAN): 9780486637730
Издательство: Dover
Цена: 1374 р.
Наличие на складе: Нет в наличии.

Tensors, Differential Forms, and Variational Principles

Автор: Lovelock, David
Название: Tensors, Differential Forms, and Variational Principles
ISBN: 0486658406 ISBN-13(EAN): 9780486658407
Издательство: Dover
Рейтинг:
Цена: 2178 р.
Наличие на складе: Нет в наличии.

Описание:

The aim of this book is to present a self-contained, reasonably modern account of tensor analysis and the calculus of exterior differential forms, adapted to the needs of physicists, engineers, and applied mathematicians. In the later, increasingly sophisticated chapters, the interaction between the concept of invariance and the calculus of variations is examined. This interaction is of profound importance to all physical field theories.
Beginning with simple physical examples, the theory of tensors and forms is developed by a process of successive abstractions. This enables the reader to infer generalized principles from concrete situations -- departing from the traditional approach to tensors and forms in terms of purely differential-geometric concepts.
The treatment of the calculus of variations of single and multiple integrals is based ab initio on Carath odory's method of equivalent integrals. Subsequent material explores the effects of invariance postulates on variational principles, focusing ultimately on relativistic field theories. Other discussions include:
- integral invariants
- simple and direct derivations of Noether's theorems
- Riemannian spaces with indefinite metrics
The emphasis in this book is on analytical techniques, with abundant problems, ranging from routine manipulative exercises to technically difficult problems encountered by those using tensor techniques in research activities. A special effort has been made to collect many useful results of a technical nature, not generally discussed in the standard literature. The Appendix, newly revised and enlarged for the Dover edition, presents a reformulation of the principal concepts of the main text within the terminology of current global differential geometry, thus bridging the gap between classical tensor analysis and the fundamentals of more recent global theories.

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: 0486462420 ISBN-13(EAN): 9780486462424
Издательство: Dover
Рейтинг:
Цена: 2868 р.
Наличие на складе: Нет в наличии.

Описание: This high-level treatment by a noted mathematician considers one-dimensional singular integral equations involving Cauchy principal values. Intended for graduate students and professionals, its coverage includes such topics as the Holder condition, Hilbert and Riemann-Hilbert problems, the Dirichlet problem, inversion formulas for arcs, and many other areas. 1992 edition.

Partial Differential Equations with Fourier Series and Boundary Value Problems

Автор: Asmar Nakhle H.
Название: Partial Differential Equations with Fourier Series and Boundary Value Problems
ISBN: 0486807371 ISBN-13(EAN): 9780486807379
Издательство: Dover
Рейтинг:
Цена: 6891 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This text provides an introduction to partial differential equations and boundary value problems, including Fourier series. The treatment offers students a smooth transition from a course in elementary ordinary differential equations to more advanced topics in a first course in partial differential equations. This widely adopted and successful book also serves as a valuable reference for engineers and other professionals. The approach emphasizes applications, with particular stress on physics and engineering applications. Rich in proofs and examples, the treatment features many exercises in each section.
Relevant Mathematica files are available for download from author Nakhl Asmar's website; however, the book is completely usable without computer access. The Students' Solutions Manual can be downloaded for free from the Dover website, and the Instructor's Solutions Manual is available upon request for professors and potential teachers. The text is suitable for undergraduates in mathematics, physics, engineering, and other fields who have completed a course in ordinary differential equations.

Variational Principles

Автор: Moiseiwitsch B.
Название: Variational Principles
ISBN: 0486438171 ISBN-13(EAN): 9780486438177
Издательство: Dover
Рейтинг:
Цена: 2063 р.
Наличие на складе: Нет в наличии.

Описание: This graduate-level text's primary objective is to demonstrate the expression of the equations of the various branches of mathematical physics in the succinct and elegant form of variational principles (and thereby illuminate their interrelationship). Its related intentions are to show how variational principles may be employed to determine the discrete eigenvalues for stationary state problems and to illustrate how to find the values of quantities (such as the phase shifts) that arise in the theory of scattering. Chapter-by-chapter treatment consists of analytical dynamics; optics, wave mechanics, and quantum mechanics; field equations; eigenvalue problems; and scattering theory. 1966 edition. Bibliography. Index.


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