عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461246640
(Number (ISBN
9781461291053
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402995
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Combinatorial Enumeration of Groups, Graphs, and Chemical Compounds
General Material Designation
[Book]
First Statement of Responsibility
by G. Pólya, R. C. Read.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York, NY :
Name of Publisher, Distributor, etc.
Springer New York,
Date of Publication, Distribution, etc.
1987.
CONTENTS NOTE
Text of Note
1 Groups -- 2 Graphs -- 3 Chemical Compounds -- 4 Asymptotic Evaluation of the Number of Combinations -- The Legacy of Pólya's Paper: Fifty Years of Pólya Theory -- References.
0
SUMMARY OR ABSTRACT
Text of Note
In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und chemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the "Hauptsatz" of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781461291053
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Combinatorics.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Pólya, G.
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Read, R. C.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190301075700.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
