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Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics (239)) by Henri Cohen is a nonfiction available to read on EtoBox.

What is Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics (239)) about?

A Unique Collection Of Topics Centered On A Unifying Topic. Includes More Than 350 Exercises. Text Is Largely Self-contained. 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 Heegner Point Method. These Subjects Form The First Two Parts, Forming Volume I. The Study

Who reads Number Theory: Volume I: Tools and Diophantine Equations (Graduate Texts in Mathematics (239))?

Author

Henri Cohen

Publisher

Springer Science+Business Media

Published

2008

Language

EN

ISBN

9780387498935

Category

nonfiction

Subjects

Computer Science, Mathematics, Programming