000 -LEADER |
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003 - CONTROL NUMBER IDENTIFIER |
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OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
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20220927163445.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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220927b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319020983 |
050 ## - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA377 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Olver, Peter J. |
245 ## - TITLE STATEMENT |
Title |
Introduction to partial differential equations |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
Switzerland |
Name of publisher, distributor, etc. |
Springer |
Date of publication, distribution, etc. |
2014 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xxv, 635 pp. |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
What are Partial Differential Equations?;<br/>Linear and Nonlinear Waves;<br/>Fourier Series;<br/>Separation of Variables;<br/>Finite Differences;<br/>Generalized Functions and Green's Functions;<br/>Complex Analysis and Conformal Mapping;<br/>Fourier Transforms;<br/>Linear and Nonlinear Evolution Equations;<br/>A General Framework for Linear Partial Differential Equations;<br/>Finite Elements and Weak Solutions;<br/>Dynamics of Planar Media;<br/>Partial Differential Equations in Space |
520 ## - SUMMARY, ETC. |
Summary, etc. |
This textbook cover the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solitons, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics; Differential equations; Partial differential equations |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Koha item type |
Book |