MARC details
000 -LEADER |
fixed length control field |
04354 a2200349 4500 |
001 - CONTROL NUMBER |
control field |
54013 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
TR-AnTOB |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20200511112916.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
100519s1982 nyua b 001 0 |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
81016636 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
0387906096 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
DLC |
Transcribing agency |
DLC |
Modifying agency |
DLC |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
İngilizce |
050 ## - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA374 |
Item number |
.A647 1982 |
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA374 .A647 1982 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
John, Fritz, |
Dates associated with a name |
1910- |
9 (RLIN) |
28708 |
245 #0 - TITLE STATEMENT |
Title |
Partial differential equations / |
Statement of responsibility, etc. |
Fritz John. |
250 ## - EDITION STATEMENT |
Edition statement |
4th ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
New York : |
Name of producer, publisher, distributor, manufacturer |
Springer-Verlag, |
Date of production, publication, distribution, manufacture, or copyright notice |
c1982. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
x, 249 p. : |
Other physical details |
ill. ; |
Dimensions |
25 cm. |
490 0# - SERIES STATEMENT |
Series statement |
Applied mathematical sciences ; |
Volume/sequential designation |
v. 1 |
500 ## - GENERAL NOTE |
General note |
Includes index. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc. note |
|
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Ch.1 The Single First-Order Equation 1.Introduction -- 2. Examples -- 3. Analytic Solution and Approximation Methods in a Simple Example Problems – 4. Quasi-linear Equations -- 5. The Cauchy Problem for the Quasi-linear Equation 6. Examples Problems -- 7. The General First-Order Equation for a Function of Two Variâbles -- 8. The Cauchy Problem -- 9. Solutions Generated as Envelopes Problems -- Ch. 2 Second-Order Equations: Hyperbolic Equations for Functions of Two Independent Variâbles -- 1. Characteristîcs for Linear and Quasi-linear Second-order Equation -- 2. Propagation of Singularities -- 3. The Linear Second-Order Equation Problems -- 4. The One-Dimensional Wave Equation Problems -- 5. Systems of First-Order Equations -- 6. A Quasi-linear System and Simple Waves Problem -- Chapter 3 Characteristic Manİfolds and the Cauchy Problem -- 1. Notation of Laurent Schwartz Problems -- 2. The Cauchy Problem Problems -- 3. Real Analytic Functions and the Cauchy-Kowalevski Theorem -- (a) Mulliple infınite series Problems -- (b) Real analytic functions Problems -- (c) Analytic and real analytic functions Problems -- (d)The proof of the Cauchy-Kowalevski ıheorem Problems -- 4. The Lagrange-Green Identity -- 5. The Uniqueness Theorem of Holmgren Problems -- 6. Distribution Solutions Problems -- Ch. 4 The Laplace Equation -- 1. Green's İdentity, Fundamental Solutions, and Poisson's Equation Problems -- 2. The Maximum Principle Problems -- 3. The Dirichlet Problem, Green's Function, and Poisson's Formula Problems -- 4. Proof of Existence of Solutions for the Dirichlet Problem Using Subharmonic Functions ("Perron's Method") Problems -- 5. Solution of the Dirichlet Problem by Hilbert-Space Methods Problems -- Ch. 5 Hyperbolic Equations in Higher Dimensions -- 1. The Wave Equation in /ı-Dimensional Space -- (a) The rnethod of spherical means Problems -- (b) Hadamard's method of descent Problems -- (c) Duhamel's principle and the general Cauchy problem Problem -- (d) Initial-boundary-value problems ("Mixed" problems) Problems -- 2. Higher-Order Hyperbolic Equations with Constant Coefficients -- (a) Standard form of the initîal-value problem Problem -- (b) Solution by Fourier transformation Problems -- (c) Solution of a mixed problem by Fourier transformation -- (d) The method of plane waves Problems -- 3. Symmetric Hyperbolic Systems -- (a) The basic energy inequality Problems -- (b) Existence of solutions by the method of finite differences Problems -- (c) Existence of solutions by the method of approximation by analytic functions (Method of Schauder) -- Ch. 6 Higher-Order Elliptic Equations with Constant Coefficients -- 1. The Fundamental Solution for Odd n Problems -- 2. The Dirichlet Problem Problems -- 3, More on the Hilbert Space and the Assumption of Boundary Values in the Dirichfet Problem Problems -- Ch. 7 Parabolic Equations -- 1.The Heat Equation -- (a) The üıitial-value problem Problems -- (b) Maximum principle, uniqueness, and regularity Problem -- (c) A mixed problem Problems -- (d) Non-negative solutions Problems -- 2. The Initial-Value Problem for General Second-Order Linear Parabolic Equations -- (a) The method of finite differences and the maximum principle -- (b) Existence of solutions of the initial-value problem -- Ch. 8 H. Lewy's Example of a Linear Equation without Solutions Problems |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Diferansiyel denklemler, Kısmi |
9 (RLIN) |
25863 |
|
Topical term or geographic name entry element |
Differential equations, Partial |
9 (RLIN) |
1008 |
902 ## - LOCAL DATA ELEMENT B, LDB (RLIN) |
a |
0016681, 0027156 |
903 ## - LOCAL DATA ELEMENT C, LDC (RLIN) |
a |
Merkez Kütüphane |
906 ## - LOCAL DATA ELEMENT F, LDF (RLIN) |
a |
7 |
b |
cbc |
c |
orignew |
d |
1 |
e |
ocip |
f |
19 |
g |
y-gencatlg |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |