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20140310151445.0 |
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110525s2010 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441991263 |
|
978-1-4419-9126-3 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA564-609 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516.35 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
New York, NY : |
| -- |
Springer New York, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Duistermaat, J.J. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Discrete Integrable Systems |
| Medium |
[electronic resource] : |
| Remainder of title |
QRT Maps and Elliptic Surfaces / |
| Statement of responsibility, etc |
by J.J. Duistermaat. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
1. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXII, 627p. 116 illus. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Springer Monographs in Mathematics, |
| International Standard Serial Number |
1439-7382 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
The QRT Map -- The Pencil of Biquadratic Curves in -- The QRT surface -- Cubic Curves in the Projective Plane -- The Action of the QRT Map on Homology -- Elliptic Surfaces -- Automorphisms of Elliptic Surfaces -- Elliptic Fibrations with a Real Structure -- Rational elliptic surfaces -- Symmetric QRT Maps -- Examples from the Literature -- Appendices. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics.The material comes from the author’s insights and understanding of a birational transformation of the plane derived from a discrete sine-Gordon equation, posing the question of determining the behavior of the discrete dynamical system defined by the iterates of the map. The aim of this book is to give a complete treatment not only of the basic facts about QRT maps, but also the background theory on which these maps are based. Readers with a good knowledge of algebraic geometry will be interested in Kodaira’s theory of elliptic surfaces and the collection of nontrivial applications presented here. While prerequisites for some readers will demand their knowledge of quite a bit of algebraic- and complex analytic geometry, different categories of readers will be able to become familiar with any selected interest in the book without having to make an extensive journey through the literature. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Geometry, algebraic. |
|
|---|
| Topical term or geographic name as entry element |
Functions of complex variables. |
|
|---|
| Topical term or geographic name as entry element |
Number theory. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Algebraic Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Functions of a Complex Variable. |
|
|---|
| Topical term or geographic name as entry element |
Theoretical, Mathematical and Computational Physics. |
|
|---|
| Topical term or geographic name as entry element |
Number Theory. |
| 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 |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9781441971166 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4419-9126-3 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
