COVID-19 Response at Fishpond.com.au

Read what we're doing...

A Conversational Introduction to Algebraic Number Theory
By

Rating
Hurry - Only 2 left in stock!

Product Description
Product Details

Table of Contents

  • Getting our feet wet
  • Cast of characters
  • Quadratic number fields: First steps
  • Paradise lost--and found
  • Euclidean quadratic fields
  • Ideal theory for quadratic fields
  • Prime ideals in quadratic number rings
  • Units in quadratic number rings
  • A touch of class
  • Measuring the failure of unique factorization
  • Euler's prime-producing polynomial and the criterion of Frobenius-Rabinowitsch
  • Interlude: Lattice points
  • Back to basics: Starting over with arbitrary number fields
  • Integral bases: From theory to practice, and back
  • Ideal theory in general number rings
  • Finiteness of the class group and the arithmetic of $overline{mathbb{Z}}$
  • Prime decomposition in general number rings
  • Dirichlet's units theorem, I
  • A case study: Units in $mathbb{Z}[sqrt[3]{2}]$ and the Diophantine equation $X^3-2Y^3=pm1$
  • Dirichlet's units theorem, II
  • More Minkowski magic, with a cameo appearance by Hermite
  • Dedekind's discriminant theorem
  • The quadratic Gauss sum
  • Ideal density in quadratic number fields
  • Dirichlet's class number formula
  • Three miraculous appearances of quadratic class numbers
  • Index.

About the Author

Paul Pollack, University of Georgia, Athens, GA.

Ask a Question About this Product More...
Write your question below:
Look for similar items by category
People also searched for
How Fishpond Works
Fishpond works with suppliers all over the world to bring you a huge selection of products, really great prices, and delivery included on over 25 million products that we sell. We do our best every day to make Fishpond an awesome place for customers to shop and get what they want — all at the best prices online.
Webmasters, Bloggers & Website Owners
You can earn a 8% commission by selling A Conversational Introduction to Algebraic Number Theory: Arithmetic Beyond Z (Student Mathematical Library) on your website. It's easy to get started - we will give you example code. After you're set-up, your website can earn you money while you work, play or even sleep! You should start right now!
Authors / Publishers
Are you the Author or Publisher of a book? Or the manufacturer of one of the millions of products that we sell. You can improve sales and grow your revenue by submitting additional information on this title. The better the information we have about a product, the more we will sell!
Item ships from and is sold by Fishpond World Ltd.
Back to top