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eBook Geometric Measure Theory: A Beginners Guide download

by Frank Morgan

eBook Geometric Measure Theory: A Beginners Guide download ISBN: 0125068557
Author: Frank Morgan
Publisher: Academic Pr (1988)
Language: English
Pages: 145
ePub: 1456 kb
Fb2: 1404 kb
Rating: 4.4
Other formats: mobi docx mobi rtf
Category: Math Sciences
Subcategory: Mathematics

Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical .

Geometric measure theory has become increasingly essential to geometry as well as numerous and varied physical applications.

Geometric Measure Theory. About the Author It is certainly no beginners guide. I found the author's chapter on Relativity to be un-inspiring

Geometric Measure Theory. Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts. It is certainly no beginners guide. I found the author's chapter on Relativity to be un-inspiring.

Электронная книга "Geometric Measure Theory: A Beginner's Guide", Frank Morgan. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Geometric Measure Theory: A Beginner's Guide" для чтения в офлайн-режиме.

Print Book & E-Book. Authors: Frank Morgan

Print Book & E-Book. ISBN 9780123744449, 9780080922409. Authors: Frank Morgan. eBook ISBN: 9780080922409. Imprint: Academic Press.

Geometric Measure Theory - Frank Morgan.

Geometric measure theory was born out of the desire to solve the Plateau problem which asks if for every smooth .

Geometric measure theory was born out of the desire to solve the Plateau problem which asks if for every smooth closed curve in. R 3 {displaystyle mathbb {R} ^{3}}. there exists a surface of least area among all surfaces whose boundary equals the given curve. Morgan, Frank (2009), Geometric measure theory: A beginner's guide (Fourth e., San Diego, California: Academic Press In. pp. viii+249, ISBN 978-0-12-374444-9, MR 2455580. Taylor, Jean E. (1976), "The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces", Annals of Mathematics, Second Series, 103 (3): 489–539, doi:10. 2307/1970949, JSTOR 1970949, MR 0428181.

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Morgan describes geometric measure theory as differential geometry, generalized through measure theory to deal with maps . The book is divided into two parts of about equal length. The first part develops the basic theory, and the second takes up applications.

Morgan describes geometric measure theory as differential geometry, generalized through measure theory to deal with maps and surfaces that are not necessarily smooth, and applied to the calculus of variations. He calls the book an illustrated introduction, and his treatment is friendly enough (though still rigorous) that it does not intimidate. Immediate intimidation was the effect on me some years ago by Federer’s book on the same subject. It’s still not an easy subject.

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.
Comments: (2)
Bad Sunny
This is not a comprehensive text on the subject. The book is an overview, highlighting some of the important ideas. I found the book to be great for illuminating the necessary prerequisites needed to understand geometric measure theory and helping to give intuition and motivation Behind the theory.
Nafyn
This thin book (175 pages) provides the newcomer or graduate student with an illustrated introduction to geometric measure theory: the basic ideas, terminology, and results. The author has included a few fundamental arguments and a superficial discussion of the regularity theory, but his goal is merely to introduce the subject and make the standard text, "Geometric Measure Theory" by Federer, more accesible. This second edition includes updated material and references, corrections, and a new chapter on soap bubble clusters.
Its contents are: Measures, Lipschitz functions and rectifiable sets, normal and rectifiable currents, the completeness theorem, area-minimizing surfaces, the approximation theorem, regualrity results, monotonicity and oriented tanget cones, flat chains, varifolds, minimal sets, soap bubble clusters.
Includes excercises, plenty of illustrations, and extensive references.
Highly useful for advanced undergraduate and graduate students in analysis and geometry. The "next step" for fractal geometers.
If you want to buy it maybe it should be better to wait for the third edition to appear by June 2000.
Please check my other reviews (just click on my name above).