Introduction to partial differential equations (Record no. 3189)

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fixed length control field 02624nam a22002057a 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20220927163445.0
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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
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Home library Shelving location Date acquired Inventory number Total Checkouts Total Renewals Full call number Accession No. Date last seen Date last checked out Copy number Price effective from Koha item type
        Mathematics ICTS Rack No 6 09/16/2022 Gratis 2 1 QA377 02563 11/27/2024 10/11/2024 1 09/27/2022 Book