Henri Cohen
Number Theory
Volume I: Tools and Diophantine Equations
Gebonden Engels 2007 2007e druk 9780387499222Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780387499222
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:650
Uitgever:Springer New York
Druk:2007
Lezersrecensies
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Inhoudsopgave
to Diophantine Equations.- to Diophantine Equations.- Tools.- Abelian Groups, Lattices, and Finite Fields.- Basic Algebraic Number Theory.- p-adic Fields.- Quadratic Forms and Local-Global Principles.- Diophantine Equations.- Some Diophantine Equations.- Elliptic Curves.- Diophantine Aspects of Elliptic Curves.
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