Algebra and Number Theory
โ Scribed by Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman
- Publisher
- Walter De Gruyter Inc
- Year
- 2017
- Tongue
- English
- Leaves
- 343
- Series
- De Gruyter Textbook
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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 ฯ
Compass and straightedge constructions and the classical problems
Euclidean vector spaces
โฆ Subjects
Algebra;Abstract;Elementary;Intermediate;Linear;Pure Mathematics;Mathematics;Science & Math;Number Theory;Pure Mathematics;Mathematics;Science & Math;Algebra & Trigonometry;Mathematics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique
๐ SIMILAR VOLUMES
Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal exten
Algebraic number theory is one of the most refined creations in mathematics. It has been developed by some of the leading mathematicians of this and previous centuries. The primary goal of this book is to present the essential elements of algebraic number theory, including the theory of normal exten