Can I read Introduction to Differentiable Manifolds (Dover Books on Mathematics) on EtoBox?

Introduction to Differentiable Manifolds (Dover Books on Mathematics) by Louis Auslander, Robert E. MacKenzie is a nonfiction available to read on EtoBox.

What is Introduction to Differentiable Manifolds (Dover Books on Mathematics) about?

The first book to treat manifold theory at an introductory level, this text surveys basic concepts in the modern approach to differential geometry. The first six chapters define and illustrate differentiable manifolds, and the final four chapters investigate the roles of differential structures in a variety of situations. Starting with an introduction to differentiable manifolds and their tangent spaces, the text examines Euclidean spaces, their submanifolds, and abstract manifolds. Succeeding chapters explore the tangent bundle and vector fields and discuss their association with ordinary differential equations. The authors offer a coherent treatment of the fundamental concepts of Lie group theory, and they present a proof of the basic theorem relating Lie subalgebras to Lie subgroups. Additional topics include fiber bundles and multilinear algebra. An excellent source of examples and exercises, this graduate-level text requires a solid understanding of the basic theory of finite-dimensional vector spaces and their linear transformations, point-set topology, and advanced calculus.

Who reads Introduction to Differentiable Manifolds (Dover Books on Mathematics)?

Author

Louis Auslander, Robert E. MacKenzie

Publisher

Dover Publications, Incorporated

Published

2009

Language

EN

ISBN

9780486471723

Category

nonfiction

Subjects

Mathematics, Stem