Theory of Algebraic Invariants (Cambridge Mathematical Library) - Softcover

Hilbert, David

Softcover

ISBN 10: 0521449030 ISBN 13: 9780521449038

Publisher: Cambridge University Press, 1993

Synopsis

In the summer 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. At that time his research in the subject had been completed, and 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 new 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. The text will be useful as a self-contained introduction to invariant theory. But it will also be invaluable as a historical source for anyone interested in the foundations of twentieth-century mathematics.

About this title

Book Description

David Hilbert (1862-1943) gave an introductory course in Invariant Theory in 1897 at the University of Gottingen. This book is an English translation of the handwritten notes taken by his student within a course that dramatically laid the foundations for modern commutative algebra.

Language Notes

Text: English (translation)
Original Language: German

Edition details

• Publisher: Cambridge University Press
• Publication date: 1993
• Language: English
• ISBN 10: 0521449030
• ISBN 13: 9780521449038
• Binding: Paperback
• Edition number: 1
• Number of pages: 208