£115.33

Birkhauser Geometric Theory of Foliations - Mathematics Book

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Description

Explore the fundamental concepts of manifold decomposition with Geometric Theory of Foliations by Birkhauser. This mathematical text provides a deep look into how a manifold can be understood as a union of connected, disjoint submanifolds of the same dimension, known as leaves. These leaves pile up locally in a manner similar to the pages of a book. Tracing the history of the field, the book covers the origins of foliation theory starting with the work of C. Ehresmann and G. Reeb in the 1940s. It also examines the early observations of P. Painleve, who recognized the need for a geometric theory to better understand solutions of holomorphic differential equations within the complex field. This text is a valuable resource for those studying geometry and topology, offering a clear progression from historical foundations to modern mathematical understanding.

Key Features

Covers the foundational work of C. Ehresmann and G. Reeb from the 1940s regarding the theory of foliations.

Explains the concept of manifold decomposition into connected, disjoint submanifolds called leaves.

Provides historical context regarding P. Painleve and the study of holomorphic differential equations.

Offers a mathematical perspective on how leaves pile up locally like pages in a book.

Designed for readers interested in the specialized fields of geometry and topology.

Product Specifications

Format
Paperback
Domain
Amazon UK
Release Date
26 June 2013
Listed Since
07 November 2013

Barcode

No barcode data available

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