Algebra and Number Theory

Algebra and Number Theory

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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. ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pell's equationTranscendental numbers and the numbers e and πCompass and straightedge constructions and the classical problemsEuclidean vector spaces
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Product details

  • Paperback | 342 pages
  • 170 x 239 x 20mm | 680g
  • Berlin/Boston
  • English
  • 10 Schwarz-Weiß- Abbildungen
  • 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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