Name: Geometry From a Differentiable Viewpoint (en Inglés)
Price: 102040.00 CLP
Availability: InStock
Author: John Mccleary
ISBN: 9780521133111

portada Geometry From a Differentiable Viewpoint (en Inglés)

Geometry From a Differentiable Viewpoint (en Inglés)

Formato

Libro Físico

Editorial

Cambridge University Press

Autor

John Mccleary

Año

2012

Idioma

Inglés

N° páginas

374

Encuadernación

Tapa Blanda

ISBN

0521133114

ISBN13

9780521133111

N° edición

Categorías

Geometría diferencial y riemanniana

Geometry From a Differentiable Viewpoint (en Inglés)

John Mccleary (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Geometry From a Differentiable Viewpoint (en Inglés)"

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.