000			02288cam a2200325 a 4500
003			OSt
005			20240509143346.0
008			110629s2011 enka b 001 0 eng c
020			_a9780857290595
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082	0	0	_a514 _bGRA-W
100	1		_aGray, Jeremy.
245	1	0	_aWorlds out of nothing : _ba course in the history of geometry in the 19th century
260			_aLondon ; _bSpringer, _c2011.
300			_axxv, 384 p. : _bill. ; _c24 cm.
490			_aSpringer undergraduate mathematics series _x1615-2085
504			_aIncludes bibliographical references (p. 359-376) and index.
520			_aBased on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.
650		0	_aGeometry _xHistory _y19th century.
650		0	_aEuclid
650		0	_aDifferential geometry
650		0	_aGeometrie _xevolution
650		0	_aHistory of mathematics
650		0	_aProjective geometry
856			_3Table of contents _uhttps://link.springer.com/book/10.1007/978-0-85729-060-1#toc
856			_3Reviews _uhttps://www.goodreads.com/book/show/1262860.Worlds_Out_of_Nothing?from_search=true&from_srp=true&qid=VStq2U0ZDZ&rank=1#CommunityReviews
856			_3Electronic Version _uhttps://link.springer.com/book/10.1007/978-0-85729-060-1
942			_cBK _2udc
999			_c34982 _d34982