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| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20140310151456.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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110204s2011 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783642172861 |
|
978-3-642-17286-1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA440-699 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Berlin, Heidelberg : |
| -- |
Springer Berlin Heidelberg, |
| -- |
2011. |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Richter-Gebert, Jürgen. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Perspectives on Projective Geometry |
| Medium |
[electronic resource] : |
| Remainder of title |
A Guided Tour Through Real and Complex Geometry / |
| Statement of responsibility, etc |
by Jürgen Richter-Gebert. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XXII, 571p. 380 illus., 250 illus. in color. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1 Pappos's Theorem: Nine Proofs and Three Variations -- 2 Projective Planes -- 3 Homogeneous Coordinates -- 4 Lines and Cross-Ratios -- 5 Calculating with Points on Lines -- 6 Determinants -- 7 More on Bracket Algebra -- 8 Quadrilateral Sets and Liftings -- 9 Conics and Their Duals -- 10 Conics and Perspectivity -- 11 Calculating with Conics -- 12 Projective $d$-space -- 13 Diagram Techniques -- 14 Working with diagrams -- 15 Configurations, Theorems, and Bracket Expressions -- 16 Complex Numbers: A Primer -- 17 The Complex Projective Line -- 18 Euclidean Geometry -- 19 Euclidean Structures from a Projective Perspective -- 20 Cayley-Klein Geometries -- 21 Measurements and Transformations -- 22 Cayley-Klein Geometries at Work -- 23 Circles and Cycles -- 24 Non-Euclidean Geometry: A Historical Interlude -- 25 Hyperbolic Geometry -- 26 Selected Topics in Hyperbolic Geometry -- 27 What We Did Not Touch -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic and elliptic geometry or even relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications. In particular, it explains how metric concepts may be best understood in projective terms. One of the major themes that appears throughout this book is the beauty of the interplay between geometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objects and operations may be most elegantly expressed in algebraic terms, making it a valuable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the author’s experience in implementing geometric software and includes hundreds of high-quality illustrations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Algebra. |
|
|---|
| Topical term or geographic name as entry element |
Algorithms. |
|
|---|
| Topical term or geographic name as entry element |
Visualization. |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Discrete groups. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Geometry. |
|
|---|
| Topical term or geographic name as entry element |
Algebra. |
|
|---|
| Topical term or geographic name as entry element |
Algorithms. |
|
|---|
| Topical term or geographic name as entry element |
General Algebraic Systems. |
|
|---|
| Topical term or geographic name as entry element |
Visualization. |
|
|---|
| Topical term or geographic name as entry element |
Convex and Discrete Geometry. |
| 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 |
9783642172854 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-17286-1 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
