# Algebra and Number Theory: A Selection of Highlights - Paperback

by **Benjamin Fine** (Author), **Anthony Gaglione** (Author), **Anja Moldenhauer** (Author)

This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history.

**Contents  
**The natural, integral and rational numbers  
Division and factorization in the integers  
Modular arithmetic  
Exceptional numbers  
Pythagorean triples and sums of squares  
Polynomials and unique factorization  
Field extensions and splitting fields  
Permutations and symmetric polynomials  
Real numbers  
The complex numbers, the Fundamental Theorem of Algebra and polynomial equations  
Quadratic number fields and Pell's equation  
Transcendental numbers and the numbers _e_ and _π  
_Compass and straightedge constructions and the classical problems  
Euclidean vector spaces

### Author Biography

**B. Fine**, **A. Gaglione**, **A. Moldenhauer**, **G. Rosenberger**, **D. Spellman**.

**Number of Pages:** 342

**Dimensions:** 0.8 x 9.4 x 6.7 IN

**Publication Date:** October 06, 2017

## Details

- **Price:** 68.83 USD
- **Vendor:** Books by splitShops
- **Type:** Books
- **Tags:** Books by splitShops, Shopify Collective

## Variants

| Variant | Price | Available |
|---------|-------|-----------|
| Default Title | 68.83 USD | In stock |

## Images

- Algebra and Number Theory: A Selection of Highlights - Paperback

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