Items related to Convexity (Oxford Science Publications)
Synopsis
Convexity provides a wide-ranging introduction for final year undergraduates and graduate students. Convex sets and functions are studied in the Euclidean space IRn, thus allowing an exposition demanding only an elementary knowledge of analysis and linear algebra, and enabling concepts to be motivated through simple geometric examples.
The fundemental ideas of convexity are natural and appealing, and does not have to travel far along its path, before meeting significant, aesthetically pleasing results. It develops geometric intuition, and is a showcase for displaying interconnections amongst different parts of mathematics, in addition to have ties with economics, science and engineering. Despite being an active research field, it abounds in unsolved problems having an instant intuitive appeal.
One distinctive feature of the book is the diverse applications that it highlights: number theory, geometric extremum problems, combinatorial geometry, linear programming, game theory, polytopes, bodies of constant width, the gamma function, minimax approximation, and linear, classical and matrix inequalities. Several topics make their first appearance in a general introduction to convexity, while a few have not appeared outside research journals. The account has a self-contained treatment of volume, thus permitting a rigorous discussion of mixed volumes, is operimetry and Brunn-Minkowski theory. Full solutions to most of the 241 exercises are provided and detailed suggestions for further reading are given.
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Review
This is a well-written introduction to convexity and to a variety of its applications. It is written in a clear style, reader-friendly, and with great care. This book, which requires only elementary prerequisites and provides many exercises, is well suited as a text for an introductory course on convexity and selected applications. (Zentrallblatt for Mathematik, Band 835/96.)
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Convexity (Oxford Science Publications)
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Oxford University Press, Oxford, 1994
ISBN 10: 0198531478
ISBN 13: 9780198531470
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Convexity (Oxford Science Publications)
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ISBN 10: 0198531478
ISBN 13: 9780198531470
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Convexity (Oxford Science Publications)
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Convexity (Oxford Science Publications)
Published by
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ISBN 10: 0198531478
ISBN 13: 9780198531470
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Convexity (Hardcover)
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ISBN 10: 0198531478
ISBN 13: 9780198531470
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Hardcover. Condition: new. Hardcover. Convexity provides a wide-ranging introduction for final year undergraduates and graduate students. Convex sets and functions are studied in the Euclidean space IRn, thus allowing an exposition demanding only an elementary knowledge of analysis and linear algebra, and enabling concepts to be motivated through simple geometric examples. The fundemental ideas of convexity are natural and appealing, and does not have to travel far along its path,before meeting significant, aesthetically pleasing results. It develops geometric intuition, and is a showcase for displaying interconnections amongst different parts of mathematics, in addition tohave ties with economics, science and engineering. Despite being an active research field, it abounds in unsolved problems having an instant intuitive appeal. One distinctive feature of the book is the diverse applications that it highlights: number theory, geometric extremum problems, combinatorial geometry, linear programming, game theory, polytopes, bodies of constant width, the gamma function, minimax approximation, and linear, classical and matrix inequalities.Several topics make their first appearance in a general introduction to convexity, while a few have not appeared outside research journals. The account has a self-contained treatment of volume, thuspermitting a rigorous discussion of mixed volumes, is operimetry and Brunn-Minkowski theory. Full solutions to most of the 241 exercises are provided and detailed suggestions for further reading are given. This text provides a comprehensive introduction to convex sets and functions. Requiring only a basic knowledge of analysis and linear algebra, the book clearly discusses topics as diverse as number theory, classical extremum problems, combinatorial geometry, linear programming, game theory, polytopes, bodies of constant width, the gamma function, minimax approximation, and the theory of linear, classical, and matrix inequalities. The book clearly shows how convexity links many different topics in mathematics, from linear algebra to analysis. Suitable for upper-level undergraduate and graduate students, this book offers full solutions to over 200 exercises as well as detailed suggestions for further reading. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198531470
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Convexity
Published by
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ISBN 10: 0198531478
ISBN 13: 9780198531470
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