Cargando…
Appendix, the theory of space /
The epoch-making work of J�anos 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 J�anos Bolyai and with his intellectual world. A facsimile of a copy of Bolyai&...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Latín |
| Publicado: |
Amsterdam ; New York : New York :
North-Holland ; Sole distributors for the U.S.A. and Canada : Elsevier Science Pub. Co.,
1987.
|
| Colección: | North-Holland mathematics studies ;
138. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn428648033 | ||
| 003 | OCoLC | ||
| 005 | 20231117032821.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 090730s1987 ne a ob 000 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCQ |d EBLCP |d E7B |d OCLCQ |d OPELS |d OCLCQ |d OCLCO |d OCLCQ |d OPELS |d OCLCF |d UKDOC |d OCLCQ |d YDXCP |d DEBSZ |d OCLCQ |d COO |d OCLCQ |d MERUC |d OCLCQ |d LEAUB |d OCLCQ |d VLY |d S2H |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 428099596 |a 647758638 | ||
| 020 | |a 9780080872490 |q (electronic bk.) | ||
| 020 | |a 0080872492 |q (electronic bk.) | ||
| 020 | |z 9780444865281 | ||
| 020 | |z 0444865284 | ||
| 035 | |a (OCoLC)428648033 |z (OCoLC)428099596 |z (OCoLC)647758638 | ||
| 041 | 1 | |a eng |a lat |h lat | |
| 050 | 4 | |a QA685 |b .B65 1987eb | |
| 072 | 7 | |a MAT |x 012040 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.9 |2 22 |
| 100 | 1 | |a Bolyai, J�anos, |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 J�anos Bolyai ; with introduction, comments, and addenda, edited by Ferenc K�arteszi ; supplement by Barna Sz�en�assy. |
| 246 | 3 | 0 | |a Theory of space |
| 260 | |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, [1] pages) : |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 | |
| 546 | |a Latin text with English translation of his Appendix scientiam spatii absolute veram exhibens. | ||
| 504 | |a Includes bibliographical references (pages 238-239). | ||
| 520 | |a The epoch-making work of J�anos 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 J�anos 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 J�anos Bolyai; Chapter 7. The discovery of absolute geometry | |
| 505 | 8 | |a Part II: The absolute geometry of J�anos 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 J�anos 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. Poincar�e'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 | |
| 650 | 0 | |a Geometry, Non-Euclidean. | |
| 650 | 6 | |a G�eom�etrie non-euclidienne. |0 (CaQQLa)201-0005575 | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Non-Euclidean. |2 bisacsh | |
| 650 | 7 | |a Geometry, Non-Euclidean |2 fast |0 (OCoLC)fst00940928 | |
| 700 | 1 | |a K�arteszi, Ferenc. | |
| 700 | 1 | |a Sz�en�assy, Barna. | |
| 776 | 0 | 8 | |i Print version: |a Bolyai, J�anos, 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 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 138. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444865281 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/138 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=138 |z Texto completo |