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
Compass and straightedge constructions and the classical problems
Euclidean vector spaces
- ISBN10 3110516144
- ISBN13 9783110516142
- Publish Date 11 September 2017
- Publish Status Active
- Publish Country DE
- Imprint De Gruyter
- Format eBook
- Pages 342
- Language English
- URL https://degruyter.com/isbn/9783110516142