Differential Geometry

Idioma: inglés

Editorial: Springer International Publishing Jun 2017, 2017

3319550829 / 9783319550824

Serie: Libro 153 de 180 - Graduate Texts in Mathematics

Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, AlemaniaBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -This text presents a graduate-level introduction to differential geometry for mathematics and physics students. The exposition follows the historical development of the concepts of connection and curvature with the goal of explaining the Chern-Weil theory of characteristic classes on a principal bundle.Along the way we encounter some of the high points in the history of differential geometry, for example, Gauss' Theorema Egregium and the Gauss-Bonnet theorem. Exercises throughout the book test the reader's understanding of the material and sometimes illustrate extensions of the theory. Initially, the prerequisites for the reader include a passing familiarity with manifolds. After the first chapter, it becomes necessary to understand and manipulate differential forms. A knowledge ofde Rham cohomology is required for the last third of the text.Prerequisite material is contained in author's textAn Introduction to Manifolds, and can be learned in one semester. For the benefit of the reader and to establish common notations, Appendix A recalls the basics of manifold theory. Additionally, in an attempt to make the exposition more self-contained, sections on algebraic constructions such as the tensor product and the exterior power are included.Differential geometry, as its name implies, is the study of geometry using differential calculus. It dates back to Newton and Leibniz in the seventeenth century, but it was not until the nineteenth century, with the work of Gauss on surfaces and Riemann on the curvature tensor, that differential geometry flourished and its modern foundation was laid. Over the past one hundred years, differential geometry has proven indispensable to an understanding of the physical world, in Einstein's general theory of relativity, in the theory of gravitation, in gauge theory, and now in string theory. Differential geometry is also useful in topology, several complex variables, algebraic geometry, complex manifolds, and dynamical systems, among other fields.The field has even found applications to group theory as in Gromov's work and to probability theory as in Diaconis's work. It is not too far-fetched to argue that differential geometry should be in every mathematician's arsenal. 368 pp. Englisch.…

N° de ref. del artículo 9783319550824

Título
Differential Geometry
Autor
Loring W. Tu
Editorial
Springer International Publishing Jun 2017
Año de publicación
2017
Estado
Neu
Encuadernación
Buch
Idioma
inglés
ISBN 10
3319550829
ISBN 13
9783319550824
Peso del artículo
784 gramos
Dimensiones
241x160x25 mm
Serie
Libro 153 de 180: Graduate Texts in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Alemania

Vendedor de 5 estrellas

Vendedor de IberLibro desde 11 de enero de 2012

Tarifas de envío de Alemania a Estados Unidos de America

ArtículoDe 5 a 15 días hábilesDe 5 a 15 días hábiles
Primer artículoEUR 23,00EUR 23,00
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BuchWeltWeit Ludwig Meier e.K.

Alemania

BuchWeltWeit Inh. Ludwig Meier e.K.
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