Differential and Riemannian Manifolds 2024 pdf epub mobi 电子书

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Differential and Riemannian Manifolds 2024 pdf epub mobi 电子书著者简介

Serge Lang (May 19, 1927 – September 12, 2005) was a French-born American mathematician. He is known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was a member of the Bourbaki group.

Lang was born in Paris in 1927, and moved with his family to California as a teenager, where he graduated in 1943 from Beverly Hills High School. He subsequently graduated from the California Institute of Technology in 1946, and received a doctorate from Princeton University in 1951. He held faculty positions at the University of Chicago and Columbia University (from 1955, leaving in 1971 in a dispute). At the time of his death he was professor emeritus of mathematics at Yale University.

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发表于2024-11-23

Differential and Riemannian Manifolds 2024 pdf epub mobi 电子书

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出版者:Springer

作者:Serge Lang

出品人:

页数:384

译者:

出版时间:1995-3-9

价格:USD 79.95

装帧:Hardcover

isbn号码:9780387943381

丛书系列:Graduate Texts in Mathematics

图书标签: 数学技术 and Springer Riemannian Math Manifolds Geometry

Differential and Riemannian Manifolds 2024 pdf epub mobi 电子书图书描述

This is the third version of a book on Differential Manifolds; in this latest expansion three chapters have been added on Riemannian and pseudo-Riemannian geometry, and the section on sprays and Stokes' theorem have been rewritten. This text provides an introduction to basic concepts in differential topology, differential geometry and differential equations. In differential topology one studies classes of maps and the possibility of finding differentiable maps in them, and one uses differentiable structures on manifolds to determine their topological structure. In differential geometry one adds structures to the manifold (vector fields, sprays, a metric, and so forth) and studies their properties. In differential equations one studies vector fields and their integral curves, singular points, stable and unstable manifolds, and the like.

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