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Book Summary
The central theme 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
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 aspect is
the global aspect: the use of number
- ISBN-13
- 9780387499222
- Language
- English
- Binding
- Hard Bound
- Publisher
- Springer Verlag
- Publishing Date
- 2007-05-23
- Product Edition
- 1
Number Theory Volume 1 : Tools & Diophantine Equations
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Product Specifications
Book Summary
The central theme 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
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 aspect is
the global aspect: the use of number
Book Specifications
- ISBN-13
- 9780387499222
- Language
- English
- Binding
- Hard Bound
- Publisher
- Springer Verlag
- Publishing Date
- 2007-05-23
- Product Edition
- 1