Theory of Algebraic Invariants (Paperback)

David Hilbert

ISBN 10: 0521449030 / ISBN 13: 9780521449038

Edité par Cambridge University Press, Cambridge, 1993

A propos de cet article

Paperback. 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 such an introduction to invariant theory. 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 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. An English translation of the notes from David Hilbert's course in 1897 on Invariant Theory at the University of Gottingen taken by his student Sophus Marxen. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

N° de réf. du vendeur 9780521449038

Détails bibliographiques

• Titre: Theory of Algebraic Invariants (Paperback)
• Éditeur: Cambridge University Press, Cambridge
• Date de parution: 1993
• Langue: anglais
• ISBN à 10 chiffres: 0521449030
• ISBN à 13 chiffres: 9780521449038
• Reliure: Paperback
• État de l'article: new

A propos de ce titre

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.