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Variational Methods for Boundary Value Problems: for Systems of Elliptic Equations

Автор: Lavrent`ev M. A.
Название:  Variational Methods for Boundary Value Problems: for Systems of Elliptic Equations
Издательство: Dover
Классификация:
ISBN: 0486450783
ISBN-13(EAN): 9780486450780
ISBN: 0-486-45078-3
ISBN-13(EAN): 978-0-486-45078-0
Обложка/Формат: Hardcover
Вес: 0.34 кг.
Дата издания: 17.03.2006
Серия: Mathematics - Phoenix
Язык: ENG
Размер: 22.56 x 15.34 x 1.75 cm
Поставляется из: США

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Variational Principles and Free-Boundary Problems

Автор: Friedman Avner
Название: Variational Principles and Free-Boundary Problems
ISBN: 048647853X ISBN-13(EAN): 9780486478531
Издательство: Dover
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Цена: 2340 р.
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Описание: This advanced graduate-level text examines variational methods in partial differential equations and illustrates their applications to a number of free-boundary problems. Detailed statements of the standard theory of elliptic and parabolic operators make this treatment readable for engineers, students, and nonspecialists alike.
The text's first two chapters can be used for a single-semester graduate course in variational inequalities or partial differential equations. The succeeding chapters -- covering jets and cavities, variational problems with potentials, and free-boundary problems not in variational form -- are more specialized and self-contained. Readers who have mastered chapters 1 and 2 will be able to conduct research on the problems explored in subsequent chapters. Bibliographic remarks conclude each chapter, along with several problems and exercises.

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Variational methods in optimization

Автор: Smith, Donald R.
Название: Variational methods in optimization
ISBN: 0486404552 ISBN-13(EAN): 9780486404554
Издательство: Dover
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Цена: 1558 р.
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Описание: Fostering an increased appreciation of the fundamental theorem of calculus, this highly readable text elucidates applications of the chain rule of differentiation, integration by parts, parametric curves, line integrals, double integrals, and elementary differential equations. A clear and well-illustrated treatment of techniques for solving a wide variety of optimization problems arising in a diverse array of fields, this volume requires only an elementary knowledge of calculus and can be used either by itself or as a supplementary text in a variety of courses. 1974 edition.

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Splines and Variational Methods

Автор: Prenter P.
Название: Splines and Variational Methods
ISBN: 0486469026 ISBN-13(EAN): 9780486469027
Издательство: Dover
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Цена: 1558 р.
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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
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Цена: 1558 р.
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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.

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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: 1715 р.
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Gauge Theory and Variational Principles

Автор: Bleecker David
Название: Gauge Theory and Variational Principles
ISBN: 0486445461 ISBN-13(EAN): 9780486445465
Издательство: Dover
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Цена: 1012 р.
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Описание: This text provides a framework for describing and organizing the basic forces of nature and the interactions of subatomic particles. A detailed and self-contained mathematical account of gauge theory, it is geared toward beginning graduate students and advanced undergraduates in mathematics and physics. This well-organized treatment supplements its rigor with intuitive ideas.
Starting with an examination of principal fiber bundles and connections, the text explores curvature; particle fields, Lagrangians, and gauge invariance; Lagrange's equation for particle fields; and the inhomogeneous field equation. Additional topics include free Dirac electron fields; interactions; calculus on frame bundle; and unification of gauge fields and gravitation. The text concludes with references, a selected bibliography, an index of notation, and a general index.

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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: 933 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

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The Variational Theory of Geodesics

Автор: Postnikov M. M.
Название: The Variational Theory of Geodesics
ISBN: 0486495299 ISBN-13(EAN): 9780486495293
Издательство: Dover
Цена: 2929 р.
Наличие на складе: Поставка под заказ.

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Tensors, Differential Forms, and Variational Principles

Автор: Lovelock, David
Название: Tensors, Differential Forms, and Variational Principles
ISBN: 0486658406 ISBN-13(EAN): 9780486658407
Издательство: Dover
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Цена: 1480 р.
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Variational Principles in Dynamics and Quantum Theory

Автор: Yourgrau Wolfgang
Название: Variational Principles in Dynamics and Quantum Theory
ISBN: 0486458881 ISBN-13(EAN): 9780486458885
Издательство: Dover
Рейтинг:
Цена: 1012 р.
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Описание: Focusing on applications relevant to modern physics, this text for advanced undergraduates and graduate students surveys variational principles, examining their relationship to dynamics and quantum theory. It stresses the history and theory of these concepts rather than their mechanics, providing many insights into the development of quantum mechanics. 1968 edition.

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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
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Цена: 1168 р.
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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.

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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: 1949 р.
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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.

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