Jeremy Gray,
Jeremy Gray
Ideas of Space
Euclidean, Non-Euclidean, and Relativistic
Gebonden Engels 1989 2e druk 9780198539353Levertijd ongeveer 11 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780198539353
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:254
Uitgever:Clarendon Press
Druk:2
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Inhoudsopgave
PART I: Early geometry; Euclidean geometry and the parallel postulate; Investigations by Islamic mathematicians. PART II: Saccheri and his Western Predecessors; J H Lambert's work; Legendre's work; Gauss' contribution; Trigonometry; the first new geometries; the discoveries of Lobachevskii and Bolyai; Curves and surfaces; Riemann on the foundations of geometry; Beltrami's ideas; New models and old arguments; Resume. PART III: Non-Euclidean mechanics; The question of absolute space; Space, time and space-time; Paradoxes of special relativity; Gravitation and non-Euclidean geometry; Speculations; Some last thoughts.
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