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Item specifics
- Condition
- Narrative Type
- Nonfiction
- ISBN
- 9780198539353
- Subject Area
- Mathematics, Science
- Publication Name
- Ideas of Space : Euclidean, Non-Euclidean, and Relativistic
- Publisher
- Oxford University Press, Incorporated
- Item Length
- 9.2 in
- Subject
- Geometry / Non-Euclidean, Geometry / General, Space Science
- Publication Year
- 1989
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.7 in
- Features
- Revised
- Item Weight
- 19 Oz
- Item Width
- 6.1 in
- Number of Pages
- 254 Pages
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0198539355
ISBN-13
9780198539353
eBay Product ID (ePID)
1356338
Product Key Features
Number of Pages
254 Pages
Language
English
Publication Name
Ideas of Space : Euclidean, Non-Euclidean, and Relativistic
Publication Year
1989
Subject
Geometry / Non-Euclidean, Geometry / General, Space Science
Features
Revised
Type
Textbook
Subject Area
Mathematics, Science
Format
Hardcover
Dimensions
Item Height
0.7 in
Item Weight
19 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
89-003012
Reviews
'This promises to become a classic text for those interested in considering changing mathematical perceptions of space. Gray's book is a pleasure to read.' Historia Mathematica, From reviews of the first edition: "Jeremy Gray has provided a superb exposition which tells a good story." -- Mathematics Teaching "Promises to become a classic text for those interested in considering changing mathematical perceptions of space. Gray's book is a pleasure to read." -- Historia Mathematica "An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes." -- American Mathematical Monthly, 'An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes.' American Mathematical Monthly, From reviews of the first edition: "Jeremy Gray has provided a superb exposition which tells a good story." --Mathematics Teaching"Promises to become a classic text for those interested in considering changing mathematical perceptions of space. Gray's book is a pleasure to read." --Historia Mathematica"An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes." --American Mathematical Monthly, From reviews of the first edition'Jeremy Gray has provided a superb exposition which tells a good story.' Mathematics Teaching, Reviews of this edition'a very readable book that is stimulating and thought provoking.' New ScientistFrom reviews of the first edition'Jeremy Gray has provided a superb exposition which tells a good story.' Mathematics Teaching'This promises to become a classic text for those interested in considering changing mathematical perceptions of space. Gray's book is a pleasure to read.' Historia Mathematica'An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes.' American Mathematical Monthly, Reviews of this edition'a very readable book that is stimulating and thought provoking.' New Scientist, From reviews of the first edition: "Jeremy Gray has provided a superb exposition which tells a good story." --Mathematics Teaching "Promises to become a classic text for those interested in considering changing mathematical perceptions of space. Gray's book is a pleasure to read." --Historia Mathematica "An admirable exposition for well-educated laymen of the evolution of geometrical thought from before Euclid to black holes." --American Mathematical Monthly
Dewey Edition
19
Illustrated
Yes
Dewey Decimal
516
Edition Description
Revised edition
Table Of Content
PART I1. Early Geometry2. Euclidean Geometry and the Parallel Postulate3. Investigations by Islamic MathematiciansPART II4. Saccheri and his Western Predecessors5. J.H. Lambert's Work6. Legendre's Work7. Gauss' Contribution8. Trigonometry9. The First New Geometries10. The Discoveries of Lobachevskii and Bolyai11. Curves and Surfaces12. Riemann on the Foundations of Geometry13. Beltrami's Ideas14. New Models and Old Arguments15. ResumePART III16. Non-Euclidean Mechanics17. The Question of Absolute Space18. Space, Time, and Space-Time19. Paradoxes of Special Relativity20. Gravitation and Non-Euclidean Geometry21. Speculations22. Some Last Thoughts
Synopsis
The history of the development of Euclidean, non-Euclidean, and relativistic ideas of the shape of the universe, is presented in this lively account by Jeremy Gray. The parallel postulate of Euclidean geometry occupies a unique position in the history of mathematics. In this book, Jeremy Gray reviews the failure of classical attempts to prove the postulate and then proceeds to show how the work of Gauss, Lobachevskii, and Bolyai, laid the foundations of modern differential geometry, by constructing geometries in which the parallel postulate fails. These investigations in turn enabled the formulation of Einstein's theories of special and general relativity, which today form the basis of our conception of the universe. The author has made every attempt to keep the pre-requisites to a bare minimum. This immensely readable account, contains historical and mathematical material which make it suitable for undergraduate students in the history of science and mathematics. For the second edition, the author has taken the opportunity to update much of the material, and to add a chapter on the emerging story of the Arabic contribution to this fascinating aspect of the history of mathematics., The history of the development of Euclidean, non-Euclidean, and relativistic ideas of the shape of the universe, is presented in this lively account by Jeremy Gray.The parallel postulate of Euclidean geometry occupies a unique position in the history of mathematics. In this book, Jeremy Gray reviews the failure of classical attempts to prove the postulate and then proceeds to show how the work of Gauss, Lobachevskii, and Bolyai, laid the foundations of modern differential geometry, by constructing geometries in which the parallel postulate fails. These investigations in turn enabled the formulation of Einstein's theories of special and general relativity, which today form the basis of our conception of the universe.The author has made every attempt to keep the pre-requisites to a bare minimum. This immensely readable account, contains historical and mathematical material which make it suitable for undergraduate students in the history of science and mathematics.For the second edition, the author has taken the opportunity to update much of the material, and to add a chapter on the emerging story of the Arabic contribution to this fascinating aspect of the history of mathematics., Ideas of Space is a lively and readable account of the development of Euclidean, non-Euclidean, and relativistic ideas of the shape of the universe. Jeremy Gray reviews the history of geometry from classical times and shows how it ledto the formulation of Einstein's theories of special and general relativity which today form the basis of our conception of the universe.In this second edition the author has updated much of the material, and has added a new chapter on the emerging story of the Arabic contribution to this fascinating aspect of the history of mathematics., Now in a revised and expanded new edition, this volume chronologically traces the evolution of Euclidean, non-Euclidean, and relativistic theories regarding the shape of the universe. A unique, highly readable, and entertaining account, the book assumes no special mathematical knowledge. It reviews the failed classical attempts to prove the parallel postulate and provides coverage of the role of Gauss, Lobachevskii, and Bolyai in setting the foundations of modern differential geometry, which laid the groundwork for Einstein's theories of special and general relativity. This updated account includes a new chapter on Islamic contributions to this area, as well as additional information on gravitation, the nature of space and black holes.
LC Classification Number
QA21.G7 1989
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