عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789048163106
(Number (ISBN
9789401703833
NATIONAL BIBLIOGRAPHY NUMBER
Number
b408463
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Semirings and Affine Equations over Them: Theory and Applications
General Material Designation
[Book]
First Statement of Responsibility
by Jonathan S. Golan.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Dordrecht :
Name of Publisher, Distributor, etc.
Imprint: Springer,
Date of Publication, Distribution, etc.
2003.
SERIES
Series Title
Mathematics and Its Applications ;
Volume Designation
556
CONTENTS NOTE
Text of Note
1: Semirings -- 2: Partially-Ordered Semirings -- 3: Complete Semirings -- 4: Residuated Semirings -- 5: Matrix Semirings -- 6: Symmetric Extension of a Semiring -- 7: Semimodules -- 8: Homomorphisms between Semimodules -- 9: Affine Maps between Semimodules -- 10: Partially-ordered Semimodules -- 11: Eigenelements -- 12: Permanents and Determinants -- Index of Applications -- Index of Terminology.
0
SUMMARY OR ABSTRACT
Text of Note
Semiring theory stands with a foot in each of two mathematical domains. The first being abstract algebra and the other the fields of applied mathematics such as optimization theory, the theory of discrete-event dynamical systems, automata theory, and formal language theory, as well as from the allied areas of theoretical computer science and theoretical physics. Most important applications of semiring theory in these areas turn out to revolve around the problem of finding the equalizer of a pair of affine maps between two semimodules. In this volume, we chart the state of the art on solving this problem, and present many specific cases of applications. This book is essentially the third part of a trilogy, along with Semirings and their Applications, and Power Algebras over Semirings, both written by the same author and published by Kluwer Academic Publishers in 1999. While each book can be read independently of the others, to get the full force of the theory and applications one should have access to all three. This work will be of interest to academic and industrial researchers and graduate students. The intent of the book is to bring the applications to the attention of the abstract mathematicians and to make the abstract mathematics available to those who are using these tools in an ad-hoc manner without realizing the full force of the theory.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9789048163106
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Algebra.
Computational complexity.
Logic, Symbolic and mathematical.
Mathematical optimization.
Mathematics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Golan, Jonathan S.
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307161900.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
