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<P> THIS BOOK PROVIDES A VALUABLE GLIMPSE INTO DISCRETE CURVATURE, A RICH NEW FIELD OF RESEARCH WHICH BLENDS DISCRETE MATHEMATICS, DIFFERENTIAL GEOMETRY, PROBABILITY AND COMPUTER GRAPHICS. IT INCLUDES A VAST COLLECTION OF IDEAS AND TOOLS WHICH WILL OFFER SOMETHING NEW TO ALL INTERESTED READERS. DISCRETE GEOMETRY HAS ARISEN AS MUCH AS A THEORETICAL DEVELOPMENT AS IN RESPONSE TO UNFORESEEN CHALLENGES COMING FROM APPLICATIONS. DISCRETE AND CONTINUOUS GEOMETRIES HAVE TURNED OUT TO BE INTIMATELY CONNECTED. DISCRETE CURVATURE IS THE KEY CONCEPT CONNECTING THEM THROUGH MANY BRIDGES IN NUMEROUS FIELDS: METRIC SPACES, RIEMANNIAN AND EUCLIDEAN GEOMETRIES, GEOMETRIC MEASURE THEORY, TOPOLOGY, PARTIAL DIFFERENTIAL EQUATIONS, CALCULUS OF VARIATIONS, GRADIENT FLOWS, ASYMPTOTIC ANALYSIS, PROBABILITY, HARMONIC ANALYSIS, GRAPH THEORY, ETC. IN SPITE OF ITS CRUCIAL IMPORTANCE BOTH IN THEORETICAL MATHEMATICS AND IN APPLICATIONS, UP TO NOW, ALMOST NO BOOKS HAVE PROVIDED A COHERENT OUTLOOK ON THIS EMERGING FIELD.<BR/></P><P></P>
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This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected. Discrete curvature is the key concept connecting them through many bridges in numerous fields: metric spaces, Riemannian and Euclidean geometries, geometric measure theory, topology, partial differential equations, calculus of variations, gradient flows, asymptotic analysis, probability, harmonic analysis, graph theory, etc. In spite of its crucial importance both in theoretical mathematics and in applications, up to now, almost no books have provided a coherent outlook on this emerging field.
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- VerlagSpringer
- Erscheinungsdatum2017
- ISBN 10 3319580019
- ISBN 13 9783319580012
- EinbandTapa blanda
- SpracheEnglisch
- Auflage1
- Anzahl der Seiten380
- HerausgeberNajman Laurent, Romon Pascal
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ISBN 13: 9783319580012
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware - This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected. Discrete curvature is the key concept connecting them through many bridges in numerous fields: metric spaces, Riemannian and Euclidean geometries, geometric measure theory, topology, partial differential equations, calculus of variations, gradient flows, asymptotic analysis, probability, harmonic analysis, graph theory, etc. In spite of its crucial importance both in theoretical mathematics and in applications, up to now, almost no books have provided a coherent outlook on this emerging field. 380 pp. Englisch. Bestandsnummer des Verkäufers 9783319580012
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Modern approaches to discrete curvature. Lecture notes in mathematics; Bd. 2184.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book provides a valuable glimpse into discrete curvature, a rich new field of research which blends discrete mathematics, differential geometry, probability and computer graphics. It includes a vast collection of ideas and tools which will offer something new to all interested readers. Discrete geometry has arisen as much as a theoretical development as in response to unforeseen challenges coming from applications. Discrete and continuous geometries have turned out to be intimately connected. Discrete curvature is the key concept connecting them through many bridges in numerous fields: metric spaces, Riemannian and Euclidean geometries, geometric measure theory, topology, partial differential equations, calculus of variations, gradient flows, asymptotic analysis, probability, harmonic analysis, graph theory, etc. In spite of its crucial importance both in theoretical mathematics and in applications, up to now, almost no books have provided a coherent outlook on this emerging field. Bestandsnummer des Verkäufers 9783319580012
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