Geometric Integration Theory: Princeton Mathematical Series, No. 21

Whitney, Hassler

ISBN 10: 1258346389 / ISBN 13: 9781258346386

Edité par Literary Licensing, LLC, 2012

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N° de réf. du vendeur ABLING22Oct2018170081228

Détails bibliographiques

Titre : Geometric Integration Theory: Princeton ...

Éditeur : Literary Licensing, LLC

Date d'édition : 2012

Reliure : Couverture rigide

Etat : New

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Synopsis :

Geometric Integration Theory is a comprehensive mathematical textbook written by Hassler Whitney, a renowned American mathematician. The book is part of the Princeton Mathematical Series and is the 21st book in the series. The book covers the theory of geometric integration, which is a branch of mathematics that deals with the integration of differential forms over manifolds. The book is divided into three parts. The first part introduces the foundational concepts of geometric integration, including the definition of manifolds, differential forms, and integration. The second part focuses on the theory of integration on manifolds, including the Stokes' theorem, the de Rham cohomology, and the Hodge theory. The third part covers the applications of geometric integration, including the theory of harmonic forms, the Poincar����� duality, and the Gauss-Bonnet theorem.The book is aimed at graduate students and researchers in mathematics and physics who are interested in the theory of geometric integration. It provides a rigorous and detailed treatment of the subject, with numerous examples and exercises to help readers understand the material. The book is highly regarded in the mathematical community and is considered a classic in the field of geometric integration.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Présentation de l'éditeur:

A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.