Partial Differential Equations (Record no. 81687)

000 -LEADER
fixed length control field 04970nam a22005055i 4500
001 - CONTROL NUMBER
control field 978-1-4684-0059-5
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20221102211550.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 121227s1978 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781468400595
-- 978-1-4684-0059-5
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-1-4684-0059-5
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA370-380
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT007000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBKJ
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.35
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name John, F.
Relator term author.
Relationship aut
-- http://id.loc.gov/vocabulary/relators/aut
9 (RLIN) 66628
245 10 - TITLE STATEMENT
Title Partial Differential Equations
Medium [electronic resource] /
Statement of responsibility, etc. by F. John.
250 ## - EDITION STATEMENT
Edition statement 3rd ed. 1978.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture New York, NY :
Name of producer, publisher, distributor, manufacturer Springer New York :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture, or copyright notice 1978.
300 ## - PHYSICAL DESCRIPTION
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Applied Mathematical Sciences,
International Standard Serial Number 2196-968X ;
Volume/sequential designation 1
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 The single first-order equation -- 1. Introduction -- 2. Examples -- 3. Analytic Solution and Approximation Methods in a Simple Example -- 4. Quasi-linear Equations -- 5. The Cauchy Problem for the Quasi-linear Equation -- 6. Examples -- 7. The General First-order Equation for a Function of Two Variables -- 8. The Cauchy Problem -- 9. Solutions Generated as Envelopes -- 2 Second-order equations: hyperbolic equations for functions of two independent variables -- 1. Characteristics for Linear and Quasi-linear Second-order Equations -- 2. Propagation of Singularities -- 3. The Linear Second-order Equation -- 4. The One-Dimensional Wave Equation -- 5. Systems of First-order Equations (Courant-Lax Theory) -- 6. A Quasi-linear System and Simple Waves -- 3 Characteristic manifolds and the Cauchy problem -- 1. Notation of Laurent Schwartz -- 2. The Cauchy Problem -- 3. Cauchy-Kowalewski Theorem -- 4. The Lagrange-Green Identity -- 5. The Uniqueness Theorem of Holmgren -- 6. Distribution Solutions -- 4 The Laplace equation -- 1. Green’s Identity, Fundamental Solutions -- 2. The Maximum Principle -- 3. The Dirichlet Problem, Green’s Function, and Poisson’s Formula -- 4. Proof of Existence of Solutions for the Dirichlet Problem Using Subharmonic Functions (“Perron’s Method”) -- 5. Solution of the Dirichlet Problem by Hilbert-Space Methods -- 5 Hyperbolic equations in higher dimensions -- 1. The Wave Equation in n-dimensional Space -- 2. Higher-order Hyperbolic Equations with Constant Coefficients -- 3. Symmetric Hyperbolic Systems -- 6 Higher-order elliptic equations with constant coefficients -- 1. The Fundamental Solution for Odd n -- 2. The Dirichlet Problem -- 7 Parabolic equations -- 1. The Heat Equation -- 2. The Initial-value Problem for General Second-order Linear Parabolic Equations.
520 ## - SUMMARY, ETC.
Summary, etc. The book has been completely rewritten for this new edition. While most of the material found in the earlier editions has been retained, though in changed form, there are considerable additions, in which extensive use is made of Fourier transform techniques, Hilbert space, and finite difference methods. A condensed version of the present work was presented in a series of lectures as part of the Tata Institute of Fundamental Research -Indian Insti­ tute of Science Mathematics Programme in Bangalore in 1977. I am indebted to Professor K. G. Ramanathan for the opportunity to participate in this excit­ ing educational venture, and to Professor K. Balagangadharan for his ever ready help and advice and many stimulating discussions. Very special thanks are due to N. Sivaramakrishnan and R. Mythili, who ably and cheerfully prepared notes of my lectures which I was able to use as the nucleus of the present edition. A word about the choice of material. The constraints imposed by a partial differential equation on its solutions (like those imposed by the environment on a living organism) have an infinite variety of con­ sequences, local and global, identities and inequalities. Theories of such equations usually attempt to analyse the structure of individual solutions and of the whole manifold of solutions by testing the compatibility of the differential equation with various types of additional constraints.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential equations.
9 (RLIN) 66629
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Differential Equations.
9 (RLIN) 66630
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
9 (RLIN) 66631
773 0# - HOST ITEM ENTRY
Title Springer Nature eBook
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781468400618
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780387903279
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9781468400601
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Applied Mathematical Sciences,
International Standard Serial Number 2196-968X ;
Volume/sequential designation 1
9 (RLIN) 66632
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1007/978-1-4684-0059-5">https://doi.org/10.1007/978-1-4684-0059-5</a>
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942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eTextbook

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