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 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.
Read More ↓Title Statements
- Full title :Appendix, the theory of space / János Bolyai ; with introduction, comments, and addenda, edited by Ferenc Kárteszi ; supplement by Barna Szénássy.
Summary
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.
Read More ↓Edition Statements
- Publication Date:1987.
Publication Statements
- Publisher(s):Elsevier Science Pub. Co, North-Holland, Sole distributors for the U.S.A. and Canada
- Place of Publication:Amsterdam
- Language:eng
- Publication Date:1987.
The Physical Object
- Description:1 online resource (238, [1] pages) : : illustrations
Edition Identifiers
- ISBN:9780080872490, 0080872492
- oclc:ocn428648033
- LC Classification:QA685
- Dewey Decimal:516.9
Table of Contents
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
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
Chapter I. The construction of geometry by elemen…
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