Screen LibraryInvitation to partial differential equations /
This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they may req...
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| Main Authors: | |
|---|---|
| Group Author: | ; ; |
| Published: |
American Mathematical Society,
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| Publisher Address: | Providence, Rhode Island : |
| Publication Dates: | [2020] |
| Literature type: | Book |
| Language: | English |
| Series: |
Graduate studies in mathematics,
205 |
| Subjects: | |
| Summary: |
This book is based on notes from a beginning graduate course on partial differential equations. Prerequisites for using the book are a solid undergraduate course in real analysis. There are more than 100 exercises in the book. Some of them are just exercises, whereas others, even though they may require new ideas to solve them, provide additional important information about the subject. It is a great pleasure to see this book--written by a great master of the subject--finally in print. This treatment of a core part of mathematics and its applications offers the student both a solid foundation. |
| Carrier Form: | xvii, 319 pages : illustrations ; 27 cm. |
| Bibliography: | Includes bibliographical references (pages 311-313) and index. |
| ISBN: |
9781470464967 9780821836408 0821836404 |
| Index Number: | QA374 |
| CLC: | O175.2-43 |
| Call Number: | O175.2-43/S562 |
| Contents: | Linear differential operators -- One-dimensional wave equation -- The Sturm-Liouville problem -- Distributions -- Convolution and Fourier transform -- Harmonic functions -- The heat equation -- Sobolev spaces. A generalized solution of Dirichlet's problem -- The eigenvalues and eigenfunctions of the Laplace operator -- The wave equation -- Properties of the potentials and their calculations -- Wave fronts and short-wave asymptotics for hyperbolic equations. |