Introduction to Algebraic Geometry (Paperback)

Brendan Hassett

ISBN 10: 0521691419 / ISBN 13: 9780521691413

Editore: Cambridge University Press, Cambridge, 2007

Riguardo questo articolo

Paperback. 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. Focuses on specific examples and develops only the formalism needed to address these. Introduces the notion of Groebner 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780521691413

Dati bibliografici

Titolo: Introduction to Algebraic Geometry (...

Casa editrice: Cambridge University Press, Cambridge

Data di pubblicazione: 2007

Legatura: Paperback

Condizione: new

Edizione: prima edizione

Descrizione articolo

Riassunto:

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.

Recensione:

'Yet another introduction to algebraic geometry? No! This is a book that has been missing from our textbook arsenal and that belongs on the bookshelf of anyone who plans to either teach or study algebraic geometry.' Sándor Kovács, University of Washington

'The author accomplished his goals. He created a textbook that will serve as a bridge for many students and researchers to algebraic geometry.' Acta Scientiarum Mathematicarum