Theory of Algebraic Invariants
By (author) David Hilbert
Volume editor Bernd Sturmfels
Introduction by Bernd Sturmfels
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Theory of Algebraic Invariants by David Hilbert
Book DescriptionIn 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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Book DetailsISBN: 9780521449038
(228mm x 152mm x 12mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 26-Nov-1993
Country of Publication: United Kingdom
Books By Author David Hilbert
Three Dialogues Between Hylas and Philonous, Paperback (July 2013)
Deals with the philosophy of immaterialism. This work has been recognized as an excellent introduction to the English philosophy of the eighteenth century, and to philosophy in general.
Methods of Mathematical Physics, Paperback (April 1989)» View all books by David Hilbert
Since the first volume of this work came out in Germany in 1924, this book, together with its second volume, has remained standard in the field. Courant and Hilbert's treatment restores the historically deep connections between physical intuition and mathematical development, providing the reader with a unified approach to mathematical physics.
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