Name: Geometry From a Differentiable Viewpoint
SKU: 18960749
Price: 2563.00 TWD
Availability: InStock
Author: John Mccleary
ISBN: 9780521133111

portada Geometry From a Differentiable Viewpoint

Geometry From a Differentiable Viewpoint

Type

Physical Book

Publisher

Cambridge University Press

Author

John Mccleary

Year

2012

Language

English

Pages

374

Format

Paperback

ISBN

0521133114

ISBN13

9780521133111

Edition No.

Synopsis "Geometry From a Differentiable Viewpoint "

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.

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Geometry From a Differentiable Viewpoint - John Mccleary

Synopsis "Geometry From a Differentiable Viewpoint "

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