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Geometric Integration Theory
Our Price:$22.95
Availability:In Stock
Environment:Made in USA
Author/Editor: Hassler Whitney
ISBN 10:0486445836
Product Info:Details, Table of Contents
Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of three parts: an introduction to classical theory, a postulational approach to general theory, and a final section that continues the general study with Lebesgue theory.
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Product Description:

Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of three parts: an introduction to classical theory, a postulational approach to general theory, and a final section that continues the general study with Lebesgue theory.
The introductory chapter shows how the simplest hypotheses lead to the employment of basic tools. The opening third of the treatment, an examination of classical theory, leads to the theory of the Riemann integral and includes a study of smooth (i.e., differentiable) manifolds. The second part, on general theory, explores abstract integration theory, some relations between chains and functions, general properties of chains and cochains, and chains and cochains in open sets. The third and final section surveys Lebesgue theory in terms of flat cochains and differential forms, Lipschitz mappings, and chains and additive set functions. Appendixes on vector and linear spaces, geometric and topological preliminaries, and analytical preliminaries, along with indexes of symbols and terms, conclude the text.
Republication of the Princeton, New Jersey, 1957 edition.

Product Details:

ISBN 10: 0486445836
ISBN 13: 9780486445830
Author/Editor: Hassler Whitney
Page Count: 400
Dimensions: 5 3/8 x 8 1/2
Publication date: December 2005
Table of Contents: Click here to view the Table of Contents

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