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ISBN: 0521425301
ID: 18081211255
[EAN: 9780521425308], Neubuch, [PU: Cambridge University Press], Mathematics|Mathematical Analysis, Mathematics|Number Theory, BRAND NEW PRINT ON DEMAND., LMSST: 24 Lectures on Elliptic Curves, J. W. S. Cassels, J. W. Bruce, 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.
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THE SAINT BOOKSTORE, Southport, United Kingdom [51194787] [Rating: 5 (von 5)]
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1992, ISBN: 0521425301
ID: 11221346919
[EAN: 9780521425308], Neubuch, [PU: CAMBRIDGE UNIVERSITY PRESS, United Kingdom], Mathematics|Mathematical Analysis, Mathematics|Number Theory, Language: English Brand New Book ***** Print on Demand *****. 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.
Abebooks.de
The Book Depository US, London, United Kingdom [58762574] [Rating: 5 (von 5)]
NEW BOOK Shipping costs:Versandkostenfrei (EUR 0.00) Details... |
1992
ISBN: 0521425301
ID: 2690091665
[EAN: 9780521425308], Neubuch, [PU: CAMBRIDGE UNIVERSITY PRESS, United Kingdom], Mathematics|Mathematical Analysis, Mathematics|Number Theory, Language: English Brand New Book ***** Print on Demand *****.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.
Abebooks.de
The Book Depository, London, United Kingdom [54837791] [Rating: 5 (von 5)]
NEW BOOK Shipping costs:Versandkostenfrei (EUR 0.00) Details... |
ISBN: 0521425301
ID: 8179345
The study of special cases of elliptic curves goes back to Diophantos and Fermat, and today it is still one of the liveliest centers of research in number theory. This book, 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-Wei 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. Many examples and exercises are included for the reader, and those new to elliptic curves, whether they are graduate students or specialists from other fields, will find this a valuable introduction. algebraic geometry,geometry,geometry and topology,mathematics,number theory,pure mathematics,science and math,science and math,textbooks Mathematics, Cambridge University Press
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ISBN: 9780521425308
ID: 0010080848
Lmsst 24 Elliptic Curves Pb editado por Cambridge, [PU: Cambridge University Press]
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Author: | |
Title: | Lectures on Elliptic Curves |
ISBN: | 9780521425308 |
Details of the book - Lectures on Elliptic Curves
EAN (ISBN-13): 9780521425308
ISBN (ISBN-10): 0521425301
Paperback
Publishing year: 1991
Publisher: CAMBRIDGE UNIV PR
144 Pages
Weight: 0,222 kg
Language: eng/Englisch
Book in our database since 04.06.2007 20:05:21
Book found last time on 22.11.2016 15:50:41
ISBN/EAN: 9780521425308
ISBN - alternate spelling:
0-521-42530-1, 978-0-521-42530-8
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