Geometric Measure Theory: A Beginner's Guide

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Frank Morgan (Dennis Meenan '54 Third Century Professor of Mathematics at Williams College.)

Geometric Measure Theory

A Beginner's Guide

Frank Morgan (Dennis Meenan '54 Third Century Professor of Mathematics at Williams College.)

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English

Academic Press Inc
07 April 2016

Integral calculus & equations

Geometric Measure Theory: A Beginner's Guide, Fifth Edition provides the framework readers need to understand the structure of a crystal, a soap bubble cluster, or a universe.

The book is essential to any student who wants to learn geometric measure theory, and will appeal to researchers and mathematicians working in the field. Brevity, clarity, and scope make this classic book an excellent introduction to more complex ideas from geometric measure theory and the calculus of variations for beginning graduate students and researchers.

Morgan emphasizes geometry over proofs and technicalities, providing a fast and efficient insight into many aspects of the subject, with new coverage to this edition including topical coverage of the Log Convex Density Conjecture, a major new theorem at the center of an area of mathematics that has exploded since its appearance in Perelman's proof of the Poincaré conjecture, and new topical coverage of manifolds taking into account all recent research advances in theory and applications.

By: Frank Morgan (Dennis Meenan '54 Third Century Professor of Mathematics at Williams College.)
Imprint: Academic Press Inc
Country of Publication: United States
Edition: 5th edition
Dimensions: Height: 229mm, Width: 151mm, Spine: 19mm
Weight: 610g
ISBN: 9780128044896
ISBN 10: 0128044896
Pages: 272
Publication Date: 07 April 2016
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Frank Morgan is the Dennis Meenan '54 Third Century Professor of Mathematics at Williams College. He obtained his B.S. from MIT and his M.S. and Ph.D. from Princeton University. His research interest lies in minimal surfaces, studying the behavior and structure of minimizers in various settings. He has also written Riemannian Geometry: A Beginner's Guide, Calculus Lite, and most recently The Math Chat Book, based on his television program and column on the Mathematical Association of America Web site.

Reviews for Geometric Measure Theory: A Beginner's Guide

Morgan s book offers the best access I know into this difficult subject. It won t make the reader an expert, but it does open the door to more detailed treatments. An excellent bibliography is provided. --MAA Reviews, Geometric Measure Theory, Fifth Edition