Geometric Measure Theory A Beginner's Guide

Frank Morgan

ISBN 10: 0125068557 / ISBN 13: 9780125068550

Published by Academic Press, Inc., Boston, Massachusetts, 1988

About this Item

Sewn binding in laminated pictorial boards. ***Note: A later edition of this title is available.*** Indexed. A clean and solid copy with tight binding, strong hinges and square spine. No marks. A little rubbing to the covers, else hardly any wear. ***Title faded out on spine.***.

Seller Inventory # 1488

Bibliographic Details

• Title: Geometric Measure Theory A Beginner's Guide
• Publisher: Academic Press, Inc., Boston, Massachusetts
• Publication Date: 1988
• Language: English
• ISBN 10: 0125068557
• ISBN 13: 9780125068550
• Binding: Hardcover
• Illustrator: B&W illustrations
• Edition: First printing (number line).
• Condition: Very Good+

About this title

Synopsis

Geometric measure theory is the mathematical framework for the study of crystal growth, clusters of soap bubbles, and similar structures involving minimization of energy. Morgan emphasizes geometry over proofs and technicalities, and includes a bibliography. This Second Edition features a new chapter on soap bubbles.

From the Back Cover

Geometric measure theory is the mathematical framework for the study of crystal growth, the geometry of clusters of soap bubbles, and similar structures involving minimization of surface energy. Beautiful mathematics comes into play when a group of bubbles forms a cluster and physically solves the complicated mathematical problem of minimizing surface energy.

This Second Edition, intended for newcomers to the field of geometric measure theory, emphasizes geometry over proofs and technicalities, and includes a bibliography, abundant illustrations, exercises, and examples. Old hands will enjoy it as well, especially its new features: a new chapter on soap bubbles, as well as updated sections addressing volume contraints, surfaces in manifolds, free boundaries, general integrands, calibrations, and the recent disproof of Kelvin's Conjecture. The text will introduce newcomers to the field and appeal to those working in the field.

Frank Morgan works in minimal surfaces and studies the behavior and structure of minimizers in various settings. He is also the author of Riemannian Geometry: A Beginners Guide and Calculus Life.