000 -LEADER |
fixed length control field |
04026nam a22005535i 4500 |
001 - CONTROL NUMBER |
control field |
978-3-540-27357-8 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
DE-He213 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20161121230933.0 |
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 |
100301s2005 gw | s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783540273578 |
-- |
978-3-540-27357-8 |
024 7# - OTHER STANDARD IDENTIFIER |
Standard number or code |
10.1007/b138957 |
Source of number or code |
doi |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA150-272 |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
PBF |
Source |
bicssc |
072 #7 - SUBJECT CATEGORY CODE |
Subject category code |
MAT002000 |
Source |
bisacsh |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512 |
Edition number |
23 |
245 10 - TITLE STATEMENT |
Title |
Solving Polynomial Equations |
Medium |
[electronic resource] : |
Remainder of title |
Foundations, Algorithms, and Applications / |
Statement of responsibility, etc. |
edited by Manuel Bronstein, Arjeh M. Cohen, Henri Cohen, David Eisenbud, Bernd Sturmfels, Alicia Dickenstein, Ioannis Z. Emiris. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
Place of production, publication, distribution, manufacture |
Berlin, Heidelberg : |
Name of producer, publisher, distributor, manufacturer |
Springer Berlin Heidelberg, |
Date of production, publication, distribution, manufacture, or copyright notice |
2005. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIV, 426 p. 44 illus., 11 illus. in color. |
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 |
Algorithms and Computation in Mathematics, |
International Standard Serial Number |
1431-1550 ; |
Volume/sequential designation |
14 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
to residues and resultants -- Solving equations via algebras -- Symbolic-numeric methods for solving polynomial equations and applications -- An algebraist’s view on border bases -- Tools for computing primary decompositions and applications to ideals associated to Bayesian networks -- Algorithms and their complexities -- Toric resultants and applications to geometric modelling -- to numerical algebraic geometry -- Four lectures on polynomial absolute factorization. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations and number theory to discrete geometry, combinatorics and complexity theory. Thegoalofthisbookistoprovideageneralintroduction tomodernma- ematical aspects in computing with multivariate polynomials and in solving algebraic systems. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Computer science |
General subdivision |
Mathematics. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebra. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algorithms. |
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algebra. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Algorithms. |
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Symbolic and Algebraic Manipulation. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Bronstein, Manuel. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Cohen, Arjeh M. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Cohen, Henri. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Eisenbud, David. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Sturmfels, Bernd. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Dickenstein, Alicia. |
Relator term |
editor. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Emiris, Ioannis Z. |
Relator term |
editor. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Relationship information |
Printed edition: |
International Standard Book Number |
9783540243267 |
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
Uniform title |
Algorithms and Computation in Mathematics, |
International Standard Serial Number |
1431-1550 ; |
Volume/sequential designation |
14 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/b138957 |
912 ## - |
-- |
ZDB-2-SMA |