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  • © 1996

Geometric Measure Theory

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Part of the book series: Classics in Mathematics (CLASSICS)

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Table of contents (6 chapters)

  1. Front Matter

    Pages I-XIV
  2. Introduction

    • Herbert Federer
    Pages 1-7
  3. Grassmann algebra

    • Herbert Federer
    Pages 8-49
  4. General measure theory

    • Herbert Federer
    Pages 50-206
  5. Rectifiability

    • Herbert Federer
    Pages 207-340
  6. Homological integration theory

    • Herbert Federer
    Pages 341-512
  7. Applications to the calculus of variations

    • 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 

Reviews

   

Authors, Editors and Affiliations

  • Eidgenössische Technische Hochschule, Zürich, Switzerland

    B. Eckmann

  • Mathematisches Institut der Universität, Zürich, Switzerland

    B. L. Waerden

  • Department of Mathematics, Brown University, Providence, USA

    Herbert Federer

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

  • Editors: B. Eckmann, B. L. Waerden

  • Series Title: Classics in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-62010-2

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-60656-7Published: 05 January 1996

  • eBook ISBN: 978-3-642-62010-2Published: 25 November 2014

  • Series ISSN: 1431-0821

  • Series E-ISSN: 2512-5257

  • Edition Number: 1

  • Number of Pages: IV, 677

  • Additional Information: Originally published as volume 153 in the series: Grundlehren der mathematischen Wissenschaften

  • Topics: Real Functions, Differential Geometry

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access