Articles liés à Number Theory: Volume I: Tools and Diophantine Equations
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The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers.
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- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 144192390X
- ISBN 13 9781441923905
- ReliureBroché
- Nombre de pages680
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Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics) by Cohen, Henri [Paperback ]
Edité par
Springer
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
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Description du livre Soft Cover. Etat : new. N° de réf. du vendeur 9781441923905
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Number Theory : Volume I: Tools and Diophantine Equations
Edité par
Springer
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
Neuf
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Description du livre Etat : New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. N° de réf. du vendeur ria9781441923905_lsuk
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Number Theory
Edité par
Springer New York Nov 2010
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
Neuf
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Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques. 680 pp. Englisch. N° de réf. du vendeur 9781441923905
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Number Theory: Volume I: Tools and Diophantine Equations
Edité par
Springer-Verlag New York Inc.
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
Neuf
Paperback / softback
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Description du livre Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. N° de réf. du vendeur C9781441923905
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Number Theory : Volume I: Tools and Diophantine Equations
Edité par
Springer New York
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
Neuf
Taschenbuch
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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The central theme of this graduate-level number theory textbook is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three aspects. The first is the local aspect: one can do analysis in p-adic fields, and here the author starts by looking at solutions in finite fields, then proceeds to lift these solutions to local solutions using Hensel lifting. The second is the global aspect: the use of number fields, and in particular of class groups and unit groups. This classical subject is here illustrated through a wide range of examples. The third aspect deals with specific classes of equations, and in particular the general and Diophantine study of elliptic curves, including 2 and 3-descent and the Heegnerpoint method. These subjects form the first two parts, forming Volume I. The study of Bernoulli numbers, the gamma function, and zeta and L-functions, and of p-adic analogues is treated at length in the third part of the book, including many interesting and original applications. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five chapters on these techniques forming the fourth part, which together with the third part forms Volume II. These chapters were written by Yann Bugeaud, Guillaume Hanrot, Maurice Mignotte, Sylvain Duquesne, Samir Siksek, and the author, and contain material on the use of Galois representations, points on higher-genus curves, the superfermat equation, Mihailescu's proof of Catalan's Conjecture, and applications of linear forms in logarithms. The book contains 530 exercises of varying difficulty from immediate consequences of the main text to research problems, and contain many important additional results. N° de réf. du vendeur 9781441923905
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Number Theory: Volume I: Tools and Diophantine Equations
Edité par
Springer New York
(2007)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
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Description du livre Paperback. Etat : Brand New. 650 pages. 9.00x6.00x2.00 inches. In Stock. N° de réf. du vendeur x-144192390X
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Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics, 239)
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Springer
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
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Description du livre Etat : New. Book is in NEW condition. N° de réf. du vendeur 144192390X-2-1
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Number Theory
Edité par
Springer New York
(2010)
ISBN 10 : 144192390X
ISBN 13 : 9781441923905
Neuf
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Description du livre Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Unique collection of topics centered around a unifying topicMore than 350 exercisesText is largely self-containedThe central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomi. N° de réf. du vendeur 4172906
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