2012, ISBN: 0521133114

[EAN: 9780521133111], Neubuch, [SC: 0.0], [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - The development of geometry from Euclid to Euler to Lobach… Mehr…

[EAN: 9780521133111], Neubuch, [SC: 0.0], [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry What is the big picture to which these parts belong In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics and the use of transformations such as the reflections of the Beltrami disk. 374 pp. Englisch, Books<

2012, ISBN: 0521133114

[EAN: 9780521133111], Neubuch, [SC: 0.0], [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - The development of geometry from Euclid to Euler to Lobach… Mehr…

[EAN: 9780521133111], Neubuch, [SC: 0.0], [PU: Cambridge University Press], Druck auf Anfrage Neuware - Printed after ordering - The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry What is the big picture to which these parts belong In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Huygens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics and the use of transformations such as the reflections of the Beltrami disk., Books<

ISBN: 9780521133111

The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and di… Mehr…

The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss, and Riemann is a story that is often broken into parts - axiomatic geometry, non-Euclidean geometry, and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all of their interrelations, motivated by the history of the parallel postulate. Beginning with the ancient sources, the author first explores synthetic methods in Euclidean and non-Euclidean geometry and then introduces differential geometry in its classical formulation, leading to the modern formulation on manifolds such as space-time. The presentation is enlivened by historical diversions such as Hugyens's clock and the mathematics of cartography. The intertwined approaches will help undergraduates understand the role of elementary ideas in the more general, differential setting. This thoroughly revised second edition includes numerous new exercises and a new solution key. New topics include Clairaut's relation for geodesics, Euclid's geometry of space, further properties of cycloids and map projections, and the use of transformations such as the reflections of the Beltrami disk-- Books, [PU: Cambridge University Press]<

ISBN: 9780521133111

Paperback, [PU: Cambridge University Press], This text, for a first course in differential or modern geometry, introduces methods within a historical context that is familiar to students … Mehr…

Paperback, [PU: Cambridge University Press], This text, for a first course in differential or modern geometry, introduces methods within a historical context that is familiar to students from high school. The thoroughly revised second edition has been reorganized for greater clarity and includes numerous new exercises and topics such as Euclid's geometry of space., Differential Calculus & Equations, Euclidean Geometry, Non-Euclidean Geometry, Differential & Riemannian Geometry, Topology<

2013, ISBN: 0521133114

[EAN: 9780521133111], Neubuch, [PU: Cambridge University Press], MATHEMATICS TOPOLOGY MATHEMATIK GEOMETRIE, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung f… Mehr…

[EAN: 9780521133111], Neubuch, [PU: Cambridge University Press], MATHEMATICS TOPOLOGY MATHEMATIK GEOMETRIE, Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This text, for a first course in differential or modern geometry, introduces methods within a historical context that is familiar to students from high school. The thoroughly revised second edition has been reorganized for greater clarity and includes numer., Books<