Автор: Oden J. Название: An Introduction to the Mathematical Theory of Finite Elements ISBN: 0486462994 ISBN-13(EAN): 9780486462998 Издательство: Dover Рейтинг: Цена: 24820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical backgrounds. It offers coherent, accessible demonstrations of the use of these techniques in developing the foundations of the theory of finite element approximations. J. T. Oden is Director of the Institute for Computational Engineering & Sciences (ICES) at the University of Texas at Austin, and J. N. Reddy is a Professor of Engineering at Texas A&M University. They developed this essentially self-contained text from their seminars and courses for students with diverse educational backgrounds. Their effective presentation begins with introductory accounts of the theory of distributions, Sobolev spaces, intermediate spaces and duality, the theory of elliptic equations, and variational boundary value problems. The second half of the text explores the theory of finite element interpolation, finite element methods for elliptic equations, and finite element methods for initial boundary value problems. Detailed proofs of the major theorems appear throughout the text, in addition to numerous examples.
Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required. In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result. Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and self-contained summary of the mathematical functions that arise in physical and engineering problems. The book contains 29 sets of tables, some to as high as 20 places: mathematical constants; physical constants and conversion factors (6 tables); exponential integral and related functions (7); error function and Fresnel integrals (12); Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2); confluent hypergeometric functions (2); Coulomb wave functions (2); hypergeometric functions; Jacobian elliptic and theta functions (2); elliptic integrals {9); Weierstrass elliptic and related functions; parabolic cylinder functions {3); Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13); combinatorial analysis (9); numerical interpolation, differentiation and integration (11); probability functions (ll); scales of notation (6); miscellaneous functions (9); Laplace transforms (2); and others. Each of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation "of "the numerical methods involved in using the tables that follow and a bibliography. Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higher-order interpolation procedures. Well over""100 figures illustrate the text. In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problem solving, experimentation and field work. This low-cost edition contains every page of the original government publication.
Автор: Taylor John Название: Scattering Theory: The Quantum Theory of Nonrelativistic Collisions ISBN: 0486450139 ISBN-13(EAN): 9780486450131 Издательство: Dover Рейтинг: Цена: 22290.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This graduate-level text is intended for any student of physics who requires a thorough grounding in the quantum theory of nonrelativistic scattering. It is designed for readers who are already familiar with the general principles of quantum mechanics and who have some small acquaintance with scattering theory. Study of this text will allow students of atomic or nuclear physics to begin reading the literature and tackling real problems, with a complete grasp of the underlying principles. For students of high-energy physics, it provides the necessary background for later study of relativistic problems. Topics are presented in terms of the simplest relevant example, so that scattering theory can be learned by becoming familiar with all of the basic concepts the "S" operator, cross sections, the "T" matrix, and so forth in their simplest context. The time-dependent approach to the subject is emphasized, starting with the use of time-dependent formalism to define all of the basic concepts and the subsequent introduction of the time-independent theory as a tool for computation and for establishing certain general properties. Problems at the end of each chapter improve and supplement readers' grasp of the material."
Автор: Tinkham Michael Название: Group Theory and Quantum Mechanics ISBN: 0486432475 ISBN-13(EAN): 9780486432472 Издательство: Dover Рейтинг: Цена: 20640.00 T Наличие на складе: Невозможна поставка. Описание: This graduate-level text develops aspects of group theory most relevant to physics and chemistry and illustrates their applications to quantum mechanics: abstract group theory, theory of group representations, physical applications of group theory, full rotation group and angular momentum, quantum mechanics of atoms, molecular quantum mechanics, and solid-state theory. 1964 edition.
Автор: Roger G. Newton Название: Scattering Theory of Waves and Particles: Second Edition ISBN: 0486425355 ISBN-13(EAN): 9780486425351 Издательство: Dover Рейтинг: Цена: 33050.00 T Наличие на складе: Нет в наличии. Описание: The observation and analysis of particle and wave scattering plays a crucial role in physics; numerous important discoveries, including nuclear fission, are the direct result of collision experiments. This concise volume crosses the boundaries of physics' traditional subdivisions to treat scattering theory within the context of classical electromagnetic radiation, classical particle mechanics, and quantum mechanics. An enlarged and improved edition of Roger G. Newton's text on the theory of scattering electromagnetic waves, this text explores classical particles and quantum-mechanic particles, including multiparticle collisions. This edition's updates include coverage of developments in three-particle collisions, scattering by noncentral potentials, and inverse scattering problems. Numerous problems, examples, notes, and references augment the text.
Автор: Wu Ta-you Название: Quantum Theory of Scattering ISBN: 0486480895 ISBN-13(EAN): 9780486480893 Издательство: Dover Рейтинг: Цена: 20640.00 T Наличие на складе: Невозможна поставка. Описание: In Washington`s God Michael Novak-one of America`s leading neoconservative pundits-and his daughter, Jana, uncover George Washington`s religious life. Finally the record is set straight on the most thoroughly misunderstood aspect of Washington`s life. The Novaks focus on Washington`s strong trust in divine Providence and see this belief as providing the unifying narrative to his monumental life.
Автор: Beiler, Albert Название: Recreations in the Theory of Numbers ISBN: 0486210960 ISBN-13(EAN): 9780486210964 Издательство: Dover Рейтинг: Цена: 13190.00 T Наличие на складе: Невозможна поставка. Описание:
Number theory, the Queen of Mathematics, is an almost purely theoretical science. Yet it can be the source of endlessly intriguing puzzle problems, as this remarkable book demonstrates. This is the first book to deal exclusively with the recreational aspects of the subject and it is certain to be a delightful surprise to all devotees of the mathematical puzzle, from the rawest beginner to the most practiced expert. Almost every aspect of the theory of numbers that could conceivably be of interest to the layman is dealt with, all from the recreational point of view. Readers will become acquainted with divisors, perfect numbers, the ingenious invention of congruences by Gauss, scales of notation, endless decimals, Pythagorean triangles (there is a list of the first 100 with consecutive legs; the 100th has a leg of 77 digits), oddities about squares, methods of factoring, mysteries of prime numbers, Gauss's Golden Theorem, polygonal and pyramidal numbers, the Pell Equation, the unsolved Last Theorem of Fermat, and many other aspects of number theory, simply by learning how to work with them in solving hundreds of mathematical puzzle problems. The text is extremely clear and easy to follow, and it bears convincing evidence of the author's deep sense of humor and his outstanding ability to lure the reader through even the most difficult trails by skillfully revealing their fascination. The problems distributed throughout the book are explained in the final chapter and there is also a supplementary chapter containing 100 problems and their solutions, many original. There are over 100 tables. The appeal of these stimulating puzzles lies in their ready comprehensibility and the fact that only high school math is needed to master the fundamental theory presented by the author. This theory is itself interesting and of use to the more serious math student, but it may be omitted by lay readers without diminishing the book's challenge or detracting from the pleasure-giving nuggets it contains.
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