MARC details
000 -LEADER |
fixed length control field |
02288cam a2200325 a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20240509143346.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
110629s2011 enka b 001 0 eng c |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780857290595 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Language of cataloging |
eng |
Transcribing agency |
NISER LIBRARY |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
English |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514 |
Item number |
GRA-W |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Gray, Jeremy. |
245 10 - TITLE STATEMENT |
Title |
Worlds out of nothing : |
Remainder of title |
a course in the history of geometry in the 19th century |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
London ; |
Name of publisher, distributor, etc. |
Springer, |
Date of publication, distribution, etc. |
2011. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xxv, 384 p. : |
Other physical details |
ill. ; |
Dimensions |
24 cm. |
490 ## - SERIES STATEMENT |
Series statement |
Springer undergraduate mathematics series |
International Standard Serial Number |
1615-2085 |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. 359-376) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance.<br/><br/>Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometry |
General subdivision |
History |
Chronological subdivision |
19th century. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Euclid |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Differential geometry |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometrie |
General subdivision |
evolution |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
History of mathematics |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Projective geometry |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-0-85729-060-1#toc">https://link.springer.com/book/10.1007/978-0-85729-060-1#toc</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/1262860.Worlds_Out_of_Nothing?from_search=true&from_srp=true&qid=VStq2U0ZDZ&rank=1#CommunityReviews">https://www.goodreads.com/book/show/1262860.Worlds_Out_of_Nothing?from_search=true&from_srp=true&qid=VStq2U0ZDZ&rank=1#CommunityReviews</a> |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Electronic Version |
Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-0-85729-060-1">https://link.springer.com/book/10.1007/978-0-85729-060-1</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Book |
Source of classification or shelving scheme |
Universal Decimal Classification |