Algebra and Number Theory

Algebra and Number Theory : A Selection of Highlights

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Description

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
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Product details

  • Paperback | 342 pages
  • 170 x 240 x 20.32mm | 668g
  • Berlin, Germany
  • English
  • 10 Illustrations, black and white
  • 3110515849
  • 9783110515848

Review Text

"I am not aware of any one other book that covers all of the material described above. [...] For this reason, the book under review seems like a very useful reference, one that anyone with an interest in algebra or number theory would enjoy having readily available." MAA Reviews
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Review quote

I am not aware of any one other book that covers all of the material described above. [...] For this reason, the book under review seems like a very useful reference, one that anyone with an interest in algebra or number theory would enjoy having readily available. MAA Reviews
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About Benjamin Fine

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