Del 345 i serien London Mathematical Society Lecture Note Series

Algebraic and Analytic Geometry

Häftad, Engelska, 2007

1 649 kr

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This textbook, for an undergraduate course in modern algebraic geometry, recognizes that the typical undergraduate curriculum contains a great deal of analysis and, by contrast, little algebra. Because of this imbalance, it seems most natural to present algebraic geometry by highlighting the way it connects algebra and analysis; the average student will probably be more familiar and more comfortable with the analytic component. The book therefore focuses on Serre's GAGA theorem, which perhaps best encapsulates the link between algebra and analysis. GAGA provides the unifying theme of the book: we develop enough of the modern machinery of algebraic geometry to be able to give an essentially complete proof, at a level accessible to undergraduates throughout. The book is based on a course which the author has taught, twice, at the Australian National University.

Produktinformation

Utgivningsdatum2007-09-13
Mått152 x 229 x 25 mm
Vikt602 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Lecture Note Series
Antal sidor434
FörlagCambridge University Press
ISBN9780521709835

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Matematik inom Naturvetenskap och teknik

'All in all, the book under review is a masterpiece of expository writing in modern algebraic geometry. It is exactly what the author promised: no comprehensive text to train future algebraic geometers, but rather an attempt to convince students of the fascinating beauty, the tremendous power, and the high value of the methods of algebraic and analytic geometry. The author has reached his declared goal in an admirable, truly brilliant manner. His lucid exposition of these modern, fairly advanced topics in the field for beginners breathes his passion for the subject and for grippingly teaching it, and his style of writing bespeaks a good sympathetic understanding of students and their needs.' Werner Kleinert, Zentralblatt MATH