ISBN: 9780521483704

He obtained his doctorate and was elected a Fellow of Trinity College in 1949. by J.W.S. Cassels, E.V. Flynn. This book provides new insights into this subject; much of the material here … Mehr…

He obtained his doctorate and was elected a Fellow of Trinity College in 1949. by J.W.S. Cassels, E.V. Flynn. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The Nile on eBay   FREE SHIPPING UK WIDE   Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 by J.W.S. Cassels, E.V. Flynn A unique insight into the topic of curves of genus 2, by two of the world&#039;s leading practitioners. FORMATPaperback LANGUAGEEnglish CONDITIONBrand New Publisher Description The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial cases they can find all rational points. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not assumed in the main text. Number theorists, algebraic geometers and workers in related areas will find that this book offers unique insights. Author Biography Biography of J.W.S. Cassels J. W. S. Cassels (known to his friends by the Gaelic form "Ian" of his first name) was born of mixed English-Scottish parentage on 11 July 1922 in the picturesque cathedral city of Durham. With a first degree from Edinburgh, he commenced research in Cambridge in 1946 under L. J. Mordell, who had just succeeded G. H. Hardy in the Sadleirian Chair of Pure Mathematics. He obtained his doctorate and was elected a Fellow of Trinity College in 1949. After a year in Manchester, he returned to Cambridge and in 1967 became Sadleirian Professor. He was Head of the Departme Table of Contents Background and conventions; 1. Curves of genus 2; 2. Construction of the jacobian; 3. The Kummer surface; 4. The dual of the Kummer; 5. Weddle's surface; 6. G/2G; 7. The jacobian over local fields; Formal groups; 8. Torsion; 9. The isogeny; Theory; 10. The isogeny; Applications; 11. Computing the Mordell-Weil group; 12. Heights; 13. Rational points Chabauty's theorem; 14. Reducible jacobians; 15. The endomorphism ring; 16. The desingularized Kummer; 17. A neoclassical approach; 18. Zukunftsmusik; Appendix 1. MAPLE programs; Appendix 2. Files available by FTP. Review '... this textbook provides an excellent treatment of the subject of the basic algebraic geometry (and arithmetic) of genus 2 curves and would serve as a useful introductory text for graduate students.' A Maciocia, Proceedings of the Edinburgh Mathematical Society '... an explicit treatment.' L'Enseignement Mathematique 'It is clear that this often subtle and witty book is required reading for those working in the field.' J. Schoissengeier, Wien, Monatshefte fur Mathematik '... the authors adopt a down-to-earth approach, assuming a fair background in algebraic geometry, but explaining carefully the tools used.' Mathematika 'The book is accessible without too many prerequisutes ... As a readable introduction to an exciting area of research in which there are may interesting questions still to be answered, the book is to be strongly recommended.' Bulletin of the London Mathematics Society Promotional "Headline" A unique insight into the topic of curves of genus 2, by two of the world's leading practitioners. Description for Bookstore The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The work is accessible to beginning graduate students in number theory, algebraic geometry and workers in related areas. Description for Library The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The work is accessible to beginning graduate students in number theory, algebraic geometry and workers in related areas. Details ISBN0521483700 Author E.V. Flynn Short Title PROLEGOMENA TO A MIDDLEBROW AR Pages 236 Publisher Cambridge University Press Series Cambridge Studies in Religious Traditions Language English ISBN-10 0521483700 ISBN-13 9780521483704 Media Book Format Paperback DEWEY 516.352 Series Number 230 Year 1996 Publication Date 1996-04-30 Imprint Cambridge University Press Place of Publication Cambridge Country of Publication United Kingdom Illustrations Illustrations Birth 1922 Residence ENK DOI 10.1604/9780521483704 Audience Professional and Scholarly UK Release Date 1996-04-18 AU Release Date 1996-04-18 NZ Release Date 1996-04-18 We've got thisAt The Nile, if you're looking for it, we've got it.With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! 30 DAY RETURN POLICYNo questions asked, 30 day returns! FREE DELIVERYNo matter where you are in the UK, delivery is free. SECURE PAYMENTPeace of mind by paying through PayPal and eBay Buyer Protection TheNile_Item_ID:158315671; , Neu, Festpreisangebot, [LT: FixedPrice], ISBN-13: 9780521483704, Book Title: Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, Publication Year: 1996, Type: Textbook, Format: Paperback, Language: English, Publication Name: Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2, Item Height: 228mm, Item Width: 152mm, Subject: Mathematics, Item Weight: 342g, Number of Pages: 236 Pages, Cambridge University Press<

ISBN: 9780521483704

The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and… Mehr…

The number theoretic properties of curves of genus 2 are attracting increasing attention. This book provides new insights into this subject; much of the material here is entirely new, and none has appeared in book form before. The authors include an explicit treatment of the Jacobian, which throws new light onto the geometry of the Kummer surface. Mathematicians can then determine the Mordell-Weil group for many curves, and in many nontrivial cases they can find all rational points. The results exemplify the power of computer algebra in diophantine contexts, but computer expertise is not assumed in the main text. Number theorists, algebraic geometers and workers in related areas will find that this book offers unique insights. New Textbooks>Trade Paperback>Science>Mathematics>Mathematics, Cambridge University Press Core >1 >T<

2008, ISBN: 9780521483704

Cambridge University Press, Taschenbuch, 236 Seiten, Publiziert: 2008-01-12T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: Illustrations, 0.34 kg, Verkaufsrang: 1874449, Geometrie, Natur… Mehr…

Cambridge University Press, Taschenbuch, 236 Seiten, Publiziert: 2008-01-12T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: Illustrations, 0.34 kg, Verkaufsrang: 1874449, Geometrie, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Naturwissenschaften & Technik, Fremdsprachige Bücher, Featured Categories, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, acc906d0-2585-4921-a56f-3ff277850936_4901, acc906d0-2585-4921-a56f-3ff277850936_0, Special Features Stores, Taschenbücher, acc906d0-2585-4921-a56f-3ff277850936_4201, Cambridge University Press, 2008<

2005, ISBN: 0521483700

Kartoniert / Broschiert MATHEMATICS / Geometry / Algebraic, mit Schutzumschlag 11, [PU:Cambridge University Press]