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Geometric measure theory : a beginner's guide /

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 and abundant illustrations and examples. T...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Morgan, Frank (Professor of Mathematics, Williams College)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Diego : Academic Press, �1995.
Edición:2nd ed.
Temas:
Acceso en línea:Texto completo

MARC

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042 |a dlr 
050 4 |a QA312  |b .M67 1995 
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082 0 4 |a 515/.42  |2 20 
084 |a SK 370  |2 rvk 
084 |a SK 430  |2 rvk 
100 1 |a Morgan, Frank  |c (Professor of Mathematics, Williams College) 
245 1 0 |a Geometric measure theory :  |b a beginner's guide /  |c Frank Morgan ; illustrated by James F. Bredt. 
250 |a 2nd ed. 
260 |a San Diego :  |b Academic Press,  |c �1995. 
300 |a 1 online resource (ix, 173 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
504 |a Includes bibliographical references (pages 157-164) and indexes. 
505 0 |a 1. Geometric Measure Theory -- 2. Measures -- 3. Lipschitz Functions and Rectifiable Sets -- 4. Normal and Rectifiable Currents -- 5. The Compactness Theorem and the Existence of Area-Minimizing Surfaces -- 6. Examples of Area-Minimizing Surfaces -- 7. The Approximation Theorem -- 8. Survey of Regularity Results -- 9. Monotonicity and Oriented Tangent Cones -- 10. The Regularity of Area-Minimizing Hypersurfaces -- 11. Flat Chains Modulo [nu], Varifolds, and ([mu, epsilon, delta])-Minimal Sets -- 12. Miscellaneous Useful Results -- 13. Soap Bubble Clusters. 
506 |3 Use copy  |f Restrictions unspecified  |2 star  |5 MiAaHDL 
533 |a Electronic reproduction.  |b [Place of publication not identified] :  |c HathiTrust Digital Library,  |d 2010.  |5 MiAaHDL 
538 |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.  |u http://purl.oclc.org/DLF/benchrepro0212  |5 MiAaHDL 
583 1 |a digitized  |c 2010  |h HathiTrust Digital Library  |l committed to preserve  |2 pda  |5 MiAaHDL 
588 0 |a Print version record. 
520 |a 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 and abundant illustrations and examples. This Second Edition features a new chapter on soap bubbles as well as updated sections addressing volume constraints, surfaces in manifolds, free boundaries, and Besicovitch constant results. The text will introduce newcomers to the field and appeal to mathematicians working in the field. 
650 0 |a Geometric measure theory. 
650 6 |a Th�eorie de la mesure g�eom�etrique.  |0 (CaQQLa)201-0036396 
650 7 |a MATHEMATICS  |x Calculus.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Mathematical Analysis.  |2 bisacsh 
650 7 |a Geometric measure theory  |2 fast  |0 (OCoLC)fst00940834 
650 7 |a Geometrische Ma�theorie  |2 gnd  |0 (DE-588)4125258-5 
650 7 |a Geometria diferencial (textos elementares)  |2 larpcal 
650 7 |a Medida e integra�c�ao (an�alise)  |2 larpcal 
650 7 |a Calculo de varia�c�oes.  |2 larpcal 
650 7 |a G�eom�etrie diff�erentielle.  |2 ram 
653 0 |a Analytic geometry 
776 0 8 |i Print version:  |a Morgan, Frank.  |t Geometric measure theory.  |b 2nd ed.  |d San Diego : Academic Press, �1995  |w (DLC) 94024913  |w (OCoLC)31295264 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780125068574  |z Texto completo