Articoli correlati a London Mathematical Society Student Texts 24: Lectures...
Sinossi
A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.
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Recensione
'... an excellent introduction ... written with humour.' Monatshefte für Mathematik
Contenuti
Introduction; 1. Curves of genus: introduction; 2. p-adic numbers; 3. The local-global principle for conics; 4. Geometry of numbers; 5. Local-global principle: conclusion of proof; 6. Cubic curves; 7. Non-singular cubics: the group law; 8. Elliptic curves: canonical form; 9. Degenerate laws; 10. Reduction; 11. The p-adic case; 12. Global torsion; 13. Finite basis theorem: strategy and comments; 14. A 2-isogeny; 15. The weak finite basis theorem; 16. Remedial mathematics: resultants; 17. Heights: finite basis theorem; 18. Local-global for genus principle; 19. Elements of Galois cohomology; 20. Construction of the jacobian; 21. Some abstract nonsense; 22. Principle homogeneous spaces and Galois cohomology; 23. The Tate-Shafarevich group; 24. The endomorphism ring; 25. Points over finite fields; 26. Factorizing using elliptic curves; Formulary; Further reading; Index.
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Lectures on Elliptic Curves
Editore:
Cambridge University Press, 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Da: Buchpark, Trebbin, Germania
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Condizione: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher. Codice articolo 2628380/3
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Lectures on Elliptic Curves (London Mathematical Society Student Texts, Vol. 24)
Editore:
Cambridge University Press, 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
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paperback
Da: Once Upon A Time, Corozal, PR, U.S.A.
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paperback. Condizione: Very Good. very slight tone to pages, fine clean unmarkedI ship Worldwide from Puerto Rico, USA.Listing Includes Books Image . Please email me if you need to see more pictures! The orders are processed promptly, carefully packaged and shipped within 1 day of purchase. PLEASE NOTE! if you need the book quickly, please Purchase Priority Shipping. Media will not show updates in mail confirmation till reaches continental U.S. Codice articolo 029329
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London Mathematical Society Student Texts 24: Lectures on Elliptic Curves (London Mathematical Society Student Texts, Series Number 24)
Editore:
Cambridge University Press, 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Da: WorldofBooks, Goring-By-Sea, WS, Regno Unito
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Paperback. Condizione: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Codice articolo GOR008255541
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Lectures on Elliptic Curves (London Mathematical Society Student Texts, Vol. 24)
Editore:
Cambridge University Press, 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
Antico o usato
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Da: SecondSale, Montgomery, IL, U.S.A.
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Condizione: Good. Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc. Codice articolo 00086754965
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Lectures on Elliptic Curves. LMSST: 24
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Cambridge University Press. Reprinted. 1995., 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Da: Antiquariaat Ovidius, Bredevoort, Paesi Bassi
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Condizione: Gebraucht / Used. Paperback. Good. Vi,137pp. Codice articolo 113056
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London Mathematical Society Student Texts 24: Lectures on Elliptic Curves (London Mathematical Society Student Texts, Series Number 24)
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Cambridge University Press, 1992
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,300grams, ISBN:9780521425308. Codice articolo 8249129
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Lectures on Elliptic Curves (London Mathematical Society Student Texts, Series Number 24)
Editore:
Cambridge University Press, 1995
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Da: Anybook.com, Lincoln, Regno Unito
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Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,300grams, ISBN:9780521425308. Codice articolo 5849385
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LMSST: 24 Lectures on Elliptic Curves
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Paperback. Condizione: Brand New. 143 pages. 9.00x6.25x0.25 inches. In Stock. This item is printed on demand. Codice articolo __0521425301
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LMSST: 24 Lectures on Elliptic Curves
Editore:
Cambridge University Press, 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Paperback / softback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 253. Codice articolo C9780521425308
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LMSST: 24 Lectures on Elliptic Curves
Editore:
Cambridge University Press, GB, 1991
ISBN 10: 0521425301
ISBN 13: 9780521425308
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Paperback. Condizione: New. The study of (special cases of) elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centres of research in number theory. This book, which is addressed to beginning graduate students, introduces basic theory from a contemporary viewpoint but with an eye to the historical background. The central portion deals with curves over the rationals: the Mordell-Weil finite basis theorem, points of finite order (Nagell-Lutz) etc. The treatment is structured by the local-global standpoint and culminates in the description of the Tate-Shafarevich group as the obstruction to a Hasse principle. In an introductory section the Hasse principle for conics is discussed. The book closes with sections on the theory over finite fields (the 'Riemann hypothesis for function fields') and recently developed uses of elliptic curves for factoring large integers. Prerequisites are kept to a minimum; an acquaintance with the fundamentals of Galois theory is assumed, but no knowledge either of algebraic number theory or algebraic geometry is needed. The p-adic numbers are introduced from scratch, as is the little that is needed on Galois cohomology. Many examples and exercises are included for the reader. For those new to elliptic curves, whether they are graduate students or specialists from other fields, this will be a fine introductory text. Codice articolo LU-9780521425308
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