{"product_id":"theory-of-algebraic-invariants-9780521449038","title":"Theory of Algebraic Invariants","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eAn 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"...Highly recommended for college libraries, undergraduate through faculty...\"   D.V. Feldman, Choice\u003cbr\u003e\"...a skillful, readable, coherent presentation, with a contemporary flavor...\"   The American Mathematical Monthly\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface; 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.","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51767663526231,"sku":"9780521449038","price":34.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780521449038.jpg?v=1758714268","url":"https:\/\/bookcurl.com\/products\/theory-of-algebraic-invariants-9780521449038","provider":"Book Curl","version":"1.0","type":"link"}