There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past to 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book or by Fred Almgren himself. The book is indeed a delightful imitation to the world of variational geometry. A central topic is Plateau's Problem, Which is concerned with surfaces that model the behavior of soap film. When trying to resolve the problem, however, one soon find, that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This new tool makes possible much exciting new analysis and many new results. Plateau's problem and varifolds live in the world of geometric measure theory, where differential geometry and measure theory combine to solve problems which have variational aspects. The author's hope in writing this book was to encourage young mathematicians to study this fascinating subject further. Judging from the success of his students, it achieves this exceedingly well.
"Sinopsis" puede pertenecer a otra edición de este libro.
There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book-or by Fred Almgren himself. The book is indeed a delightful invitation to the world of variational geometry. A central topic is Plateau's Problem, which is concerned with surfaces that model the behavior of soap films. When trying to resolve the problem, however, one soon finds that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This new tool makes possible much exciting new analysis and many new results. Plateau's problem and varifolds live in the world of geometric measure theory, where differential geometry and measure theory combine to solve problems which have variational aspects. The author's hope in writing this book was to encourage young mathematicians to study this fascinating subject further. Judging from the success of his students, it achieves this exceedingly well.
"Sobre este título" puede pertenecer a otra edición de este libro.
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Paperback. Condición: Very Good. Series: Student Mathematical Library. xvi 78p slim blue paperback, binding tight, pages clean and bright, no names or stamps, very good condition Language: English. Nº de ref. del artículo: 232743
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Paperback. Condición: New. There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book - or by Fred Almgren himself. The book is indeed a delightful invitation to the world of variational geometry. A central topic is Plateau's Problem, which is concerned with surfaces that model the behavior of soap films.When trying to resolve the problem, however, one soon finds that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This new tool makes possible much exciting new analysis and many new results. Plateau's problem and varifolds live in the world of geometric measure theory, where differential geometry and measure theory combine to solve problems which have variational aspects. The author's hope in writing this book was to encourage young mathematicians to study this fascinating subject further. Judging from the success of his students, it achieves this exceedingly well. Nº de ref. del artículo: LU-9780821827475
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Condición: New. There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory. This book covers variational geometry. It focuses on Plateau's Problem, which is concerned with surfaces that model the behavior of soap films. Series: Student Mathematical Library. Num Pages: 88 pages, Illustrations. BIC Classification: PBMP; PBWH. Category: (P) Professional & Vocational. Dimension: 143 x 215 x 5. Weight in Grams: 122. . 2001. Revised. Paperback. . . . . Nº de ref. del artículo: V9780821827475
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Condición: New. There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory. This book covers variational geometry. It focuses on Plateau's Problem, which is concerned with surfaces that model the behavior of soap films. Series: Student Mathematical Library. Num Pages: 88 pages, Illustrations. BIC Classification: PBMP; PBWH. Category: (P) Professional & Vocational. Dimension: 143 x 215 x 5. Weight in Grams: 122. . 2001. Revised. Paperback. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780821827475
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Kartoniert / Broschiert. Condición: New. There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory. This book covers variational geometry. It focuses on Plateau s Problem, which is concerned with surfaces that model the behavior of soap films. Nº de ref. del artículo: 604045387
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