Theory of Algebraic Invariants - Couverture souple

Hilbert

 
9780521449038: Theory of Algebraic Invariants

Synopsis

In the summer semester of 1897 David Hilbert (1862–1943) gave an introductory course in Invariant Theory at the University of Gottingen. This book is an English translation of the handwritten notes taken from this course by Hilbert's student Sophus Marxen. The year 1897 was the perfect time for Hilbert to present an introduction to invariant theory as his research in the subject had been completed. His famous finiteness theorem had been proved and published in two papers that changed the course of invariant theory dramatically and that laid the foundation for modern commutative algebra. Thus these lectures take into account both the old approach of his predecessors and his newer ideas. This bridge from nineteenth- to twentieth-century mathematics makes these lecture notes a special and fascinating account of invariant theory. Hilbert's course was given at a level accessible to graduate students in mathematics, requiring only a familiarity with linear algebra and the basics of ring and group theory.

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Présentation de l'éditeur

In the summer semester of 1897 David Hilbert (1862–1943) gave an introductory course in Invariant Theory at the University of Gottingen. This book is an English translation of the handwritten notes taken from this course by Hilbert's student Sophus Marxen. The year 1897 was the perfect time for Hilbert to present an introduction to invariant theory as his research in the subject had been completed. His famous finiteness theorem had been proved and published in two papers that changed the course of invariant theory dramatically and that laid the foundation for modern commutative algebra. Thus these lectures take into account both the old approach of his predecessors and his newer ideas. This bridge from nineteenth- to twentieth-century mathematics makes these lecture notes a special and fascinating account of invariant theory. Hilbert's course was given at a level accessible to graduate students in mathematics, requiring only a familiarity with linear algebra and the basics of ring and group theory.

Revue de presse

"...Highly recommended for college libraries, undergraduate through faculty..." D.V. Feldman, Choice

"...a skillful, readable, coherent presentation, with a contemporary flavor..." The American Mathematical Monthly

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780521444576: Theory of Algebraic Invariants

Edition présentée

ISBN 10 :  0521444578 ISBN 13 :  9780521444576
Editeur : Cambridge University Press, 1994
Couverture rigide