A Course in Convexity (Graduate Studies in Mathematics)

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9780821829684: A Course in Convexity (Graduate Studies in Mathematics)
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Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems. The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory. Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computational skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. The book will also be of interest to research mathematicians, who will find some results that are recent, some that are new, and many known results that are discussed from a new perspective.

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1.

Alexander Barvinok
Editorial: American Mathematical Society, United States (2002)
ISBN 10: 0821829688 ISBN 13: 9780821829684
Nuevos Tapa dura Cantidad: 1
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The Book Depository
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2002. Hardback. Estado de conservación: New. 262 x 180 mm. Language: English . Brand New Book. Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems. The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory.Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computer skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. Readers will find some new results. Also, many known results are discussed from a new perspective. Nº de ref. de la librería AAS9780821829684

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Alexander Barvinok
Editorial: American Mathematical Society, United States (2002)
ISBN 10: 0821829688 ISBN 13: 9780821829684
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Descripción American Mathematical Society, United States, 2002. Hardback. Estado de conservación: New. 262 x 180 mm. Language: English . Brand New Book. Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems. The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory.Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computer skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. Readers will find some new results. Also, many known results are discussed from a new perspective. Nº de ref. de la librería AAS9780821829684

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Barvinok, Alexander
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218296840000000

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Alexander Barvinok
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Descripción American Mathematical Society, 2002. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780821829684

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Barvinok, Alexander
Editorial: American Mathematical Society
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Descripción American Mathematical Society. Hardcover. Estado de conservación: New. 0821829688 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Nº de ref. de la librería 4950139

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Alexander Barvinok
Editorial: American Mathematical Society
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Descripción American Mathematical Society. Hardback. Estado de conservación: new. BRAND NEW, A Course in Convexity, Alexander Barvinok, Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems. The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory.Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies. The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computer skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. Readers will find some new results. Also, many known results are discussed from a new perspective. Nº de ref. de la librería B9780821829684

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Alexander Barvinok
Editorial: American Mathematical Society (2002)
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Descripción American Mathematical Society, 2002. Hardcover. Estado de conservación: New. Brand new. We distribute directly for the publisher. Convexity is a simple idea that manifests itself in a surprising variety of places. This fertile field has an immensely rich structure and numerous applications. Barvinok demonstrates that simplicity, intuitive appeal, and the universality of applications make teaching (and learning) convexity a gratifying experience. The book will benefit both teacher and student: It is easy to understand, entertaining to the reader, and includes many exercises that vary in degree of difficulty. Overall, the author demonstrates the power of a few simple unifying principles in a variety of pure and applied problems.The notion of convexity comes from geometry. Barvinok describes here its geometric aspects, yet he focuses on applications of convexity rather than on convexity for its own sake. Mathematical applications range from analysis and probability to algebra to combinatorics to number theory. Several important areas are covered, including topological vector spaces, linear programming, ellipsoids, and lattices. Specific topics of note are optimal control, sphere packings, rational approximations, numerical integration, graph theory, and more. And of course, there is much to say about applying convexity theory to the study of faces of polytopes, lattices and polyhedra, and lattices and convex bodies.The prerequisites are minimal amounts of linear algebra, analysis, and elementary topology, plus basic computer skills. Portions of the book could be used by advanced undergraduates. As a whole, it is designed for graduate students interested in mathematical methods, computer science, electrical engineering, and operations research. Readers will find some new results. Also, many known results are discussed from a new perspective. Nº de ref. de la librería 1007140022

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Alexander Barvinok
Editorial: American Mathematical Society (2002)
ISBN 10: 0821829688 ISBN 13: 9780821829684
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Ergodebooks
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Descripción American Mathematical Society, 2002. Hardcover. Estado de conservación: New. Nº de ref. de la librería DADAX0821829688

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Alexander Barvinok
Editorial: Amer Mathematical Society (2002)
ISBN 10: 0821829688 ISBN 13: 9780821829684
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Revaluation Books
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Descripción Amer Mathematical Society, 2002. Hardcover. Estado de conservación: Brand New. 366 pages. 10.00x7.00x0.75 inches. In Stock. Nº de ref. de la librería z-0821829688

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Barvinok, Alexander
Editorial: American Mathematical Society (2003)
ISBN 10: 0821829688 ISBN 13: 9780821829684
Nuevos Tapa dura Cantidad: 1
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English-Book-Service Mannheim
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Descripción American Mathematical Society, 2003. Estado de conservación: New. Nº de ref. de la librería TH9780821829684

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