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25 Remote Warehouse Mathematics- Geometry and Trigonometry

Geometric Measure Theory (Classics in Mathematics)

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Geometric Measure Theory (Classics in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

From the reviews: "... Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author writes with a distinctive style which is both natural and powerfully economical in treating a complicated subject. This book is a major treatise in mathematics and is essential in the working library of the modern analyst."Bulletin of the London Mathematical Society

Synopsis:

"This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)

About the Author

Biography of Herbert Federer Herbert Federer was born on July 23, 1920, in Vienna. After emigrating to the US in 1938, he studied mathematics and physics at the University of California, Berkeley. Affiliated to Brown University, Providence since 1945, he is now Professor Emeritus there. The major part of Professor Federer's scientific effort has been directed to the development of the subject of Geometric Measure Theory, with its roots and applications in classical geometry and analysis, yet in the functorial spirit of modern topology and algebra. His work includes more than thirty research papers published between 1943 and 1986, as well as this book.

Table of Contents

Introduction Chapter 1 Grassmann algebra 1.1 Tensor products 1.2 Graded algebras 1.3 Teh exterior algebra of a vectorspace 1.4 Alternating forms and duality 1.5 Interior multiplications 1.6 Simple m-vectors 1.8 Mass and comass 1.9 The symmetric algebra of a vectorspace 1.10 Symmetric forms and polynomial functions Chapter 2 General measure theory 2.1 Measures and measurable sets 2.2 Borrel and Suslin sets 2.3 Measurable functions 2.4 Lebesgue integrations 2.5 Linear functionals 2.6 Product measures 2.7 Invariant measures 2.8 Covering theorems 2.9 Derivates 2.10 Caratheodory's construction Chapter 3 Rectifiability 3.1 Differentials and tangents 3.2 Area and coarea of Lipschitzian maps 3.3 Structure theory 3.4 Some properties of highly differentiable functions Chapter 4 Homological integration theory 4.1 Differential forms and currents 4.2 Deformations and compactness 4.3 Slicing 4.4 Homology groups 4.5 Normal currents of dimension n in R(-63) superscript n Chapter 5 Applications to the calculus of variations 5.1 Integrands and minimizing currents 5.2 Regularity of solutions of certain differential equations 5.3 Excess and smoothness 5.4 Further results on area minimizing currents Bibliography Glossary of some standard notations List of basic notations defined in the text Index

Product Details

ISBN:
9783540606567
Author:
Federer, H.
Author:
Federer, Herbert
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Geometry
Subject:
Geometric measure theory
Subject:
classical analysis
Subject:
classical geometry
Subject:
Geometry - General
Subject:
Functional Analysis
Subject:
Real functions
Subject:
Differential geometry
Subject:
Mathematics-Geometry and Trigonometry
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Global differential geometry.
Copyright:
Edition Number:
1
Edition Description:
Reprint of the 1st ed. Berlin Heidelberg New York 1969
Series:
Classics in Mathematics
Publication Date:
January 1996
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
690
Dimensions:
235 x 155 mm 2130 gr

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Geometric Measure Theory (Classics in Mathematics) New Trade Paper
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Product details 690 pages Springer-Verlag - English 9783540606567 Reviews:
"Synopsis" by , "This book is a major treatise in mathematics and is essential in the working library of the modern analyst." (Bulletin of the London Mathematical Society)
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