Introduction to Algebraic Geometry

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9780521870948: Introduction to Algebraic Geometry
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Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Gröbner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics.

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Book Description:

Focuses on specific examples and develops only the formalism needed to address these. Introduces the notion of Gröbner bases early and develops algorithms for almost everything covered. Based on courses given over the past five years in a large interdisciplinary programme at Rice University, spanning mathematics, computer science, and bioinformatics.

About the Author:

Brendan Hassett is Professor of Mathematics at Rice University, Houston.

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9780521691413: Introduction to Algebraic Geometry

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ISBN 10:  0521691419 ISBN 13:  9780521691413
Publisher: Cambridge University Press, 2007
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Hardback. Condition: New. Language: English . Brand New Book. Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Groebner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics. Seller Inventory # AAA9780521870948

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Hardback. Condition: New. Language: English . Brand New Book. Algebraic geometry, central to pure mathematics, has important applications in such fields as engineering, computer science, statistics and computational biology, which exploit the computational algorithms that the theory provides. Users get the full benefit, however, when they know something of the underlying theory, as well as basic procedures and facts. This book is a systematic introduction to the central concepts of algebraic geometry most useful for computation. Written for advanced undergraduate and graduate students in mathematics and researchers in application areas, it focuses on specific examples and restricts development of formalism to what is needed to address these examples. In particular, it introduces the notion of Groebner bases early on and develops algorithms for almost everything covered. It is based on courses given over the past five years in a large interdisciplinary programme in computational algebraic geometry at Rice University, spanning mathematics, computer science, biomathematics and bioinformatics. Seller Inventory # AAA9780521870948

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