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The book is an overview of the research on minimal surfaces of the last few years written by several renowned researchers. The methods used are taken from differential geometry, complex analysis, calculus of variations and the theory of partial differential equations. Readers will be graduate students and researchers in mathematics.
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<i> </i>Osserman (Ed.) <b>Geometry V</b> Minimal Surfaces <br>The theory of minimal surfaces has expanded in many directions over the past decade or two. This volume gathers in one place an overview of some of the most exciting developments, presented by five of the leading contributors to those developments. Hirotaka Fujimoto, who obtained the definitive results on the Gauss map of minimal surfaces, reports on Nevanlinna Theory and Minimal Surfaces. Stefan Hildebrandt provides an up-to-date account of the Plateau problem and related boundary-value problems. David Hoffman and Hermann Karcher describe the wealth of results on embedded minimal surfaces from the past decade, starting with Costa's surface and the subsequent Hoffman-Meeks examples. Finally, Leon Simon covers the PDE aspect of minimal surfaces, with a survey of known results both in the classical case of surfaces and in the higher dimensional case. The book will be very useful as a reference and research guide to graduate students and researchers in mathematics.
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Geometry V : Minimal Surfaces, Hardcover edition
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Hardcover. Zustand: New. Zustand des Schutzumschlags: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Bestandsnummer des Verkäufers ABE-8061081851
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Geometry V: Minimal Surfaces (Encyclopaedia of Mathematical Sciences)
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Geometry V: Minimal Surfaces (Encyclopaedia of Mathematical Sciences)
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Geometry V: Minimal Surfaces (Encyclopaedia of Mathematical Sciences)
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Geometry V
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Springer Berlin Heidelberg Dez 2010, 2010
ISBN 10: 3642082254
ISBN 13: 9783642082252
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the innovative approach to partial differential equations by Serge Bernstein, which led to the celebrated Bernstein's Theorem, stating that the only solution to the minimal surface equation over the whole plane is the trivial solution: a linear function. 288 pp. Englisch. Bestandsnummer des Verkäufers 9783642082252
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Geometry V
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Geometry V
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Zustand: New. pp. 288. Bestandsnummer des Verkäufers 263094090
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Geometry V
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Zustand: New. Print on Demand pp. 288 30 Illus. Bestandsnummer des Verkäufers 5802389
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Geometry V
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Zustand: New. PRINT ON DEMAND pp. 288. Bestandsnummer des Verkäufers 183094080
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Geometry V
ISBN 10: 3642082254
ISBN 13: 9783642082252
Neu
Taschenbuch
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Few people outside of mathematics are aware of the varieties of mathemat ical experience - the degree to which different mathematical subjects have different and distinctive flavors, often attractive to some mathematicians and repellant to others. The particular flavor of the subject of minimal surfaces seems to lie in a combination of the concreteness of the objects being studied, their origin and relation to the physical world, and the way they lie at the intersection of so many different parts of mathematics. In the past fifteen years a new component has been added: the availability of computer graphics to provide illustrations that are both mathematically instructive and esthetically pleas ing. During the course of the twentieth century, two major thrusts have played a seminal role in the evolution of minimal surface theory. The first is the work on the Plateau Problem, whose initial phase culminated in the solution for which Jesse Douglas was awarded one of the first two Fields Medals in 1936. (The other Fields Medal that year went to Lars V. Ahlfors for his contributions to complex analysis, including his important new insights in Nevanlinna Theory.) The second was the innovative approach to partial differential equations by Serge Bernstein, which led to the celebrated Bernstein's Theorem, stating that the only solution to the minimal surface equation over the whole plane is the trivial solution: a linear function.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 288 pp. Englisch. Bestandsnummer des Verkäufers 9783642082252
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