Introduction to Partial Differential Equations and Hilbert Space Methods (eBook)

Introduction to Partial Differential Equations and Hilbert Space Methods (eBook)

By: Karl E. Gustafson

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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.

Reprint of the John Wiley & Sons, New York, 1987, and International Journal Services, Inc., Calcutta and Charleston, Illinois, 1993 editions.
ISBN 100486140873
ISBN 139780486140872
Author/EditorKarl E. Gustafson
Page Count480
Dimensions5 3/8 x 8 1/2

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