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Cover: 9780521449038 | Theory of Algebraic Invariants | David Hilbert (u. a.) | Taschenbuch
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Theory of Algebraic Invariants
Taschenbuch von David Hilbert (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
Preface; Introduction; Part I. The Elements of Invariant Theory: 1. The forms; 2. The linear transformation; 3. The concept of an invariant; 4. Properties of invariants and covariants; 5. The operation symbols D and D; 6. The smallest system of conditions for the determination of the invariants and covariants; 7. The number of invariants of degree g; 8. The invariants and covariants of degree two and three; 9. Simultaneous invariants and covariants; 10. Covariants of covariants; 11. The invariants and covariants as functions of the roots; 12. The invariants and covariants as functions of the one-sided derivatives; 13. The symbolic representation of invariants and covariants; Part II. The Theory of Invariant Fields: 14. Proof of the finitenesss of the full invariant system via representation by root differences; 15. A generalizable proof for the finiteness of the full invariant system; 16. The system of invariants I; I1, I2, ..., Ik; 17. The vanishing of the invariants; 18. The ternary nullform; 19. The finiteness of the number of irreducible syzygies and of the syzygy chain; 20. The inflection point problem for plane curves of order three; 21. The generalization of invariant theory; 22. Observations about new types of coordinates.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521449038
ISBN-10: 0521449030
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hilbert, David
David, Hilbert
Redaktion: Sturmfels, Bernd
Hersteller: Cambridge University Press
Maße: 229 x 152 x 12 mm
Von/Mit: David Hilbert (u. a.)
Erscheinungsdatum: 25.11.2006
Gewicht: 0,346 kg
Artikel-ID: 106868189
Inhaltsverzeichnis
Preface; Introduction; Part I. The Elements of Invariant Theory: 1. The forms; 2. The linear transformation; 3. The concept of an invariant; 4. Properties of invariants and covariants; 5. The operation symbols D and D; 6. The smallest system of conditions for the determination of the invariants and covariants; 7. The number of invariants of degree g; 8. The invariants and covariants of degree two and three; 9. Simultaneous invariants and covariants; 10. Covariants of covariants; 11. The invariants and covariants as functions of the roots; 12. The invariants and covariants as functions of the one-sided derivatives; 13. The symbolic representation of invariants and covariants; Part II. The Theory of Invariant Fields: 14. Proof of the finitenesss of the full invariant system via representation by root differences; 15. A generalizable proof for the finiteness of the full invariant system; 16. The system of invariants I; I1, I2, ..., Ik; 17. The vanishing of the invariants; 18. The ternary nullform; 19. The finiteness of the number of irreducible syzygies and of the syzygy chain; 20. The inflection point problem for plane curves of order three; 21. The generalization of invariant theory; 22. Observations about new types of coordinates.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521449038
ISBN-10: 0521449030
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Hilbert, David
David, Hilbert
Redaktion: Sturmfels, Bernd
Hersteller: Cambridge University Press
Maße: 229 x 152 x 12 mm
Von/Mit: David Hilbert (u. a.)
Erscheinungsdatum: 25.11.2006
Gewicht: 0,346 kg
Artikel-ID: 106868189
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