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Partial Differential Equations for Scientists and Engineers

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Цена: 2139р.
Наличие: Поставка под заказ.  Есть в наличии на складе поставщика.
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Автор: Farlow, Stanley J.
Название:  Partial Differential Equations for Scientists and Engineers
ISBN: 9780486676203
Издательство: Dover
ISBN-10: 048667620X
Обложка/Формат: Paperback
Страницы: 414
Вес: 0.652 кг.
Дата издания: 31.12.1993
Серия: Differential Equations/General
Язык: English
Иллюстрации: Illustrations
Размер: 234 x 156 x 15
Читательская аудитория: General (us: trade)
Поставляется из: США
Описание: Most physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.
This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

Автор: Carroll, Robert W.
Название: Abstract Methods in Partial Differential Equations
ISBN: 0486785602 ISBN-13(EAN): 9780486785608
Издательство: Dover
Цена: 5637 р.
Наличие на складе: Невозможна поставка.

Автор: Weinberger, H. F.
Название: A First Course in Partial Differential Equations: with Complex Variables and Transform Methods
ISBN: 0486792439 ISBN-13(EAN): 9780486792439
Издательство: Dover
Цена: 5637 р.
Наличие на складе: Невозможна поставка.

Описание: This popular text was created for a one-year undergraduate course or beginning graduate course in partial differential equations, including the elementary theory of complex variables. It employs a framework in which the general properties of partial differential equations, such as characteristics, domains of independence, and maximum principles, can be clearly seen. The only prerequisite is a good course in calculus.
Incorporating many of the techniques of applied mathematics, the book also contains most of the concepts of rigorous analysis usually found in a course in advanced calculus. These techniques and concepts are presented in a setting where their need is clear and their application immediate. Chapters I through IV cover the one-dimensional wave equation, linear second-order partial differential equations in two variables, some properties of elliptic and parabolic equations and separation of variables, and Fourier series. Chapters V through VIII address nonhomogeneous problems, problems in higher dimensions and multiple Fourier series, Sturm-Liouville theory, and general Fourier expansions and analytic functions of a complex variable.
The last four chapters are devoted to the evaluation of integrals by complex variable methods, solutions based on the Fourier and Laplace transforms, and numerical approximation methods. Numerous exercises are included throughout the text, with solutions at the back.

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
Цена: 3380 р.
Наличие на складе: Невозможна поставка.

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.

Introduction to Partial Differential Equations and Hilbert Space Methods

Автор: Gustafson, Karl E.
Название: Introduction to Partial Differential Equations and Hilbert Space Methods
ISBN: 0486612716 ISBN-13(EAN): 9780486612713
Издательство: Dover
Цена: 2252 р.
Наличие на складе: Нет в наличии.

Описание: This volume offers an excellent undergraduate-level introduction to the main topics, methods, and applications of partial differential equations.
Chapter 1 presents a full introduction to partial differential equations and Fourier series as related to applied mathematics. Chapter 2 begins with a more comprehensive look at the principal method for solving partial differential equations the separation of variables and then more fully develops that approach in the contexts of Hilbert space and numerical methods. Chapter 3 includes an expanded treatment of first-order systems, a short introduction to computational methods, and aspects of topical research on the partial differential equations of fluid dynamics.
With over 600 problems and exercises, along with explanations, examples, and a comprehensive section of answers, hints, and solutions, this superb, easy-to-use text is ideal for a one-semester or full-year course. It will also provide the mathematically inclined layperson with a stimulating review of the subject's essentials."

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