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."
Автор: Friedman Avner Название: Partial Differential Equations ISBN: 0486469190 ISBN-13(EAN): 9780486469195 Издательство: Dover Рейтинг: Цена: 2200 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This three-part treatment focuses on elliptic and evolution equations. Largely self-contained, this volume concludes with a series of independent topics related to the methods and results of preceding sections and introduces advanced topics for further study. Geared toward graduate and postgraduate students, it also constitutes a valuable reference for professionals. 1969 edition.
Автор: Schechter, Martin Название: Modern Methods in Partial Differential Equations ISBN: 0486492966 ISBN-13(EAN): 9780486492964 Издательство: Dover Рейтинг: Цена: 2752 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Upon its initial 1977 publication, this volume made recent accomplishments in its field available to advanced undergraduates and beginning graduate students of mathematics. Requiring only some familiarity with advanced calculus and rudimentary complex function theory, it covered discoveries of the previous three decades, a particularly fruitful era. Now it remains a permanent, much-cited contribution to the ever-expanding literature on partial differential equations. Author Martin Schechter chose subjects that will motivate students and introduce them to techniques with wide applicability to problems in partial differential equations as well as other branches of analysis. Uniform in theme and outlook, the text features problems that consider existence, uniqueness, estimates, and regularity of solutions. Topics include existence of solutions, regularity of constant and variable coefficients, the Cauchy problem, properties of solutions, boundary value problems in a half-space, the Dirichlet problem, general domains, and general boundary value problems.
Автор: Treves Francois Название: Basic Linear Partial Differential Equations ISBN: 0486453464 ISBN-13(EAN): 9780486453460 Издательство: Dover Рейтинг: Цена: 3580 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focusing on the archetypes of linear partial differential equations, this text for upper-level undergraduates and graduate students features most of the basic classical results. The methods, however, are decidedly nontraditional: in practically every instance, they tend toward a high level of abstraction. This approach recalls classical material to contemporary analysts in a language they can understand, as well as exploiting the field's wealth of examples as an introduction to modern theories. The four-part treatment covers the basic examples of linear partial differential equations and their fundamental solutions; the Cauchy problem; boundary value problems; and mixed problems and evolution equations. Nearly 400 exercises appear throughout the text, several containing detailed information that enables readers to reconstruct the proofs.
Автор: Greenspan Donald Название: Introduction to Partial Differential Equations ISBN: 0486414507 ISBN-13(EAN): 9780486414508 Издательство: Dover Цена: 1235 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.
Автор: Marcus Pivato Название: Partial Differential Equations ISBN: 048647206X ISBN-13(EAN): 9780486472065 Издательство: Dover Рейтинг: Цена: 2752 р. Наличие на складе: Нет в наличии.
Автор: Rhee Hyun-Ku Название: First-Order Partial Differential Equations, Vol. 2 ISBN: 0486419940 ISBN-13(EAN): 9780486419947 Издательство: Dover Рейтинг: Цена: 3442 р. Наличие на складе: Нет в наличии.
Описание: Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order. Examples are drawn from a wide range of scientific and engineering disciplines. The book begins with a consideration of pairs of quasilinear hyperbolic equations of the first order and goes on to explore multicomponent chromatography, complications of counter-current moving-bed adsorbers, the adiabatic adsorption column, and chemical reaction in countercurrent reactors. Exercises appear at the end of most sections. Accessible to anyone with a thorough grounding in undergraduate mathematics -- ideally including volume 1 of this set. 1989 edition. 198 black-and-white illustrations. Author and subject indices.
Автор: DuChateau Paul Название: Applied Partial Differential Equations ISBN: 0486419762 ISBN-13(EAN): 9780486419763 Издательство: Dover Цена: 4131 р. Наличие на складе: Нет в наличии.
Описание: Superb introduction to numerical methods for solving partial differential equations, boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book.
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.
Автор: Colton David Название: Partial Differential Equations: An Introduction ISBN: 0486438341 ISBN-13(EAN): 9780486438344 Издательство: Dover Рейтинг: Цена: 2752 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
