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Geometric-Measure-Theory-Herbert-Federer

Geometric-Measure-Theory-Herbert-Federer

Original price was: 89 £.Current price is: 10 £.

Geometric Measure Theory by Herbert Federer is considered the definitive text on the subject and a landmark work in modern mathematics. First published in 1969, it is a highly advanced and comprehensive book that introduced much of the standard terminology and concepts still used today.

 

Summary of the Book

 

This book provides a rigorous and exhaustive treatment of geometric measure theory, a field that studies geometric properties of sets using tools from measure theory. Federer’s work is renowned for its depth, technical detail, and elegance. The book is not for beginners; it is aimed at graduate students and researchers with a strong background in real analysis and topology.

Key topics covered in the text include:

  • Measure and Integration: The foundational concepts of measure theory are discussed in a general setting.
  • The Theory of Rectifiable Sets: This is a core part of the book, introducing concepts like tangent spaces and the Federer-Vol’pert theory of functions of bounded variation.
  • Currents and Normal Currents: Federer introduced the theory of “currents” to handle generalized surfaces, which has become a fundamental tool for solving problems in calculus of variations.

The book is celebrated for its precise and powerful methods, and it remains an essential reference for mathematicians working in differential geometry, partial differential equations, and geometric analysis.

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Federer’s Geometric Measure Theory – The Definitive Guide for Modern Analysts”

Discover the masterpiece that revolutionised geometric measure theory! Herbert Federer’s Geometric Measure Theory remains the most authoritative and comprehensive reference on the subject, guiding readers from foundational principles to cutting-edge discoveries.

Why This Book is Essential:

✅ Unmatched Depth & Clarity – Federer’s elegant and economical writing style simplifies complex concepts, making advanced mathematics accessible.
✅ From Foundations to Frontiers – A complete journey through measure theory, covering Hausdorff measures, rectifiability, currents, and more.
✅ Praise from Experts – Hailed as a “major treatise in mathematics” by the Bulletin of the London Mathematical Society, this book is a must-have for analysts, researchers, and graduate students.
✅ Timeless Reference – Decades after publication, Federer’s work remains indispensable in modern analysis, PDEs, calculus of variations, and geometric analysis.

Perfect For:

  • Mathematicians & Researchers in geometric analysis and measure theory

  • Graduate Students specialising in pure and applied mathematics

  • Libraries & Institutions seeking foundational mathematical texts

“A detailed, beautiful exposition… essential in the working library of the modern analyst.” – Bulletin of the London Mathematical Society

Get your copy today and own the definitive work on geometric measure theory!

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