A First Course in Partial Differential Equations: with Complex Variables and Transform Methods

Автор: Cartan, Henri
Название: Elementary Theory of Analytic Functions of One or Several Complex Variables
ISBN: 0486685438 ISBN-13(EAN): 9780486685434
Издательство: Dover
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Цена: 16550.00 T
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Описание: Noted mathematician offers basic treatment of theory of analytic functions of a complex variable, touching on analytic functions of several real or complex variables as well as the existence theorem for solutions of differential systems where data is analytic. Also included is a systematic, though elementary, exposition of theory of abstract complex manifolds of one complex dimension. Topics include power series in one variable, holomorphic functions, Cauchy's integral, more. Exercises. 1973 edition.

Автор: Gustafson, Karl E.
Название: Introduction to Partial Differential Equations and Hilbert Space Methods
ISBN: 0486612716 ISBN-13(EAN): 9780486612713
Издательство: Dover
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Цена: 16510.00 T
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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."