Appendix, the theory of space
The epoch-making work of János Bolyai is presented here, together with a supplement outlining Hungarian political and science history to help the reader to get acquainted with the miserable fate of János Bolyai and with his intellectual world. A facsimile of a copy of Bolyai's original 1831 Sci...
| Uniform Title: | Appendix scientiam spatii absolute veram exhibens. English & Latin |
|---|---|
| Main Author: | Bolyai, János, 1802-1860. |
| Other Authors: | Kárteszi, Ferenc., Szénássy, Barna., ScienceDirect (Online service) |
| Format: | eBook |
| Language: | English Latin |
| Published: |
Amsterdam ; New York : New York :
North-Holland ; Sole distributors for the U.S.A. and Canada : Elsevier Science Pub. Co.,
1987.
|
| Physical Description: |
1 online resource (238 pages, 1 unnumbered page) : illustrations. |
| Series: |
North-Holland mathematics studies ;
138. |
| Subjects: |
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| 100 | 1 | |a Bolyai, János, |d 1802-1860. | |
| 240 | 1 | 0 | |a Appendix scientiam spatii absolute veram exhibens. |l English & Latin. |
| 245 | 1 | 0 | |a Appendix, the theory of space / |c János Bolyai ; with introduction, comments, and addenda, edited by Ferenc Kárteszi ; supplement by Barna Szénássy. |
| 246 | 3 | 0 | |a Theory of space. |
| 264 | 1 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York : |b Sole distributors for the U.S.A. and Canada : |b Elsevier Science Pub. Co., |c 1987. | |
| 300 | |a 1 online resource (238 pages, 1 unnumbered page) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 138. | |
| 504 | |a Includes bibliographical references (pages 238-239). | ||
| 520 | |a The epoch-making work of János Bolyai is presented here, together with a supplement outlining Hungarian political and science history to help the reader to get acquainted with the miserable fate of János Bolyai and with his intellectual world. A facsimile of a copy of Bolyai's original 1831 Scientia Spatii (also known as the Appendix) is included, together with a translation. Comments and notes, and a survey of the effects of his work, complete the volume. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Front Cover; Appendix: The Theory of Space; Copyright Page; CONTENTS; Preface to the English edition; Part I: Evolution of the space concept up to the discovery of non-Euclidean geometry; Chapter 1. From the empirical study of space to deductive geometry; Chapter 2. Attempts to prove Postulate 5; Chapter 3. Reviving investigations at the beginning of the 19th century; Chapter 4. The meditations of Gauss and their results; Chapter 5. The geometric investigations of Lobachevsky; Chapter 6. The mathematical studies of János Bolyai; Chapter 7. The discovery of absolute geometry. | |
| 505 | 8 | |a Part II: The absolute geometry of János Bolyai The AppendixAppendix(facsimile); Appendix (translation); Explanation of signs; Chapter I. Parallelism ( 1-10); Chapter II. The paracycle and the parasphere ( 11-24); Chapter III. Trigonometry ( 25-31); Chapter IV. Application of the methods of analysis, relation between geometry and reality (32-33); Chapter V. Constructions ( 34-43); Part III: Remarks; Chapter 1. The Hilbertian system of axioms for Euclidean geometry; Chapter 2. Remarks to 1-43; Part IV: The work of Bolyai as reflected by subsequent investigations. | |
| 505 | 8 | |a Chapter I. The construction of geometry by elementary methods1. Further investigations of János Bolyai in the field of absolute geometry; 2. Elliptic geometry; 3. The commentary literature; 4. Foundation of hyperbolic plane geometry without using the axioms of continuity; Chapter II. The consistency of non-Euclidean geometries; 5. On the proof of the consistency; 6. Beltrami's model; 7. The Cayley-Klein model; 8. Poincaré's model; Chapter III. The effect of the discovery of Non-Euclidean geometry on recent evolution of mathematics. | |
| 505 | 8 | |a 9. The formation and development of the concept of mathematical space10. Axiomatic method and modern mathematics; Supplement; Literature; Supplementary Literature. | |
| 546 | |a Latin text with English translation of his Appendix scientiam spatii absolute veram exhibens. | ||
| 650 | 0 | |a Geometry, Non-Euclidean. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Non-Euclidean. |2 bisacsh. | |
| 650 | 7 | |a Geometry, Non-Euclidean. |2 fast. | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 700 | 1 | |a Kárteszi, Ferenc. | |
| 700 | 1 | |a Szénássy, Barna. | |
| 710 | 2 | |a ScienceDirect (Online service) | |
| 776 | 0 | 8 | |i Print version: |a Bolyai, János, 1802-1860. |s Appendix scientiam spatii absolute veram exhibens. English & Latin. |t Appendix, the theory of space. |d Amsterdam ; New York : North-Holland ; New York : Sole distributors for the U.S.A. and Canada : Elsevier Science Pub. Co., 1987 |z 0444865284 |z 9780444865281 |w (OCoLC)17825785. |
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