One aim of this handbook is to survey convex geometry, its many ramifications and its relations with other areas of mathematics. As such it should be a useful tool for the expert. A second aim is to give a high-level introduction to most branches of convexity and its applications, showing the major ideas, methods and results. This aspect should make it a source of inspiration for future researchers in convex geometry. The handbook should be useful for mathematicians working in other areas, as well as for econometrists, computer scientists, crystallographers, physicists and engineers who are looking for geometric tools for their own work. In particular, mathematicians specializing in optimization, functional analysis, number theory, probability theory, the calculus of variations and all branches of geometry should profit from this handbook.
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Cum grano salis one may say that classical geometry of numbers forms a bridge between convexity, Diophantine approximation and the theory of quadratic forms. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
homeomeric types, quermass densities, generalized curvature measures, lattice point enumerator, hyperplane network, chemical whiskers, condensed harmonic expansion, marked tilings, polytopal set, totally separable packing, general bin packing problem, random hypersurface, translation invariant valuation, translative integral geometry, monohedral filings, most convex bodies, lattice polvtopes, subperiodic groups, mean projection measures, polytope algebra, primitive parallelotopes, integral geometric formulae, polytope group, translative integral formulae, covariant valuations Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fejes Tóth, London Math, Acta Math, Studia Sci, Reine Angew, Soviet Math, Acta Cryst, Discrete Comput, Elsevier Science Publishers, Cambridge Philos, Cambridge Univ, Discrete Math, Studia Math, Fejes Toth, Marcel Dekker, Academic Press, Theory Related Fields, Trudy Mat, San Francisco, Stadia Sci, Tôhoku Univ, Duke Math, Intuitive Geometry, Math Soc New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Cum grano salis one may say that classical geometry of numbers forms a bridge between convexity, Diophantine approximation and the theory of quadratic forms. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
homeomeric types, quermass densities, generalized curvature measures, lattice point enumerator, hyperplane network, chemical whiskers, condensed harmonic expansion, marked tilings, polytopal set, totally separable packing, general bin packing problem, random hypersurface, translation invariant valuation, translative integral geometry, monohedral filings, most convex bodies, lattice polvtopes, subperiodic groups, mean projection measures, polytope algebra, primitive parallelotopes, integral geometric formulae, polytope group, translative integral formulae, covariant valuations Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Fejes Tóth, London Math, Acta Math, Studia Sci, Reine Angew, Soviet Math, Acta Cryst, Discrete Comput, Elsevier Science Publishers, Cambridge Philos, Cambridge Univ, Discrete Math, Studia Math, Fejes Toth, Marcel Dekker, Academic Press, Theory Related Fields, Trudy Mat, San Francisco, Stadia Sci, Tôhoku Univ, Duke Math, Intuitive Geometry, Math Soc New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 86
books:
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- Convexity and Its Applications by Peter M. Gruber on 8 pages
- Geometry of Numbers, Second Edition (North-Holland Mathematical Library) by C.G. Lekkerkerker on 7 pages
- Lattice Points (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics) by Paul Erdos on 5 pages
- Stochastic Geometry (Wiley Series in Probability & Statistics) by Robert Harding on 5 pages
- Complete set of Online and Printed Editions of the International Tables for Crystallography by H Fuess on 4 pages
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