© 1996

Geometric Measure Theory

  • B. Eckmann
  • B. L. van der Waerden

Part of the Classics in Mathematics book series

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Herbert Federer
    Pages 1-7
  3. Herbert Federer
    Pages 8-49
  4. Herbert Federer
    Pages 50-206
  5. Herbert Federer
    Pages 207-340
  6. Herbert Federer
    Pages 341-512
  7. Herbert Federer
    Pages 513-654
  8. Back Matter
    Pages 655-676

About this book


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 


Geometric measure theory Lebesgue integration Multiplication Tensor calculus calculus of variations classical analysis classical geometry form functional homology integration integration theory measure theory sets

Authors and affiliations

  1. 1.Department of MathematicsBrown UniversityProvidenceUSA

Editors and affiliations

  • B. Eckmann
    • 1
  • B. L. van der Waerden
    • 2
  1. 1.Eidgenössische Technische HochschuleZürichSwitzerland
  2. 2.Mathematisches Institut der UniversitätZürichSwitzerland

About the editors

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. 

Bibliographic information

  • Book Title Geometric Measure Theory
  • Authors Herbert Federer
  • Series Title Classics in Mathematics
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-04505-2
  • Softcover ISBN 978-3-540-60656-7
  • eBook ISBN 978-3-642-62010-2
  • Series ISSN 1431-0821
  • Edition Number 1
  • Number of Pages IV, 677
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as volume 153 in the series: Grundlehren der mathematischen Wissenschaften
  • Topics Real Functions
    Differential Geometry
  • Buy this book on publisher's site