Algebra and Number Theory : : A Selection of Highlights /

Algebra and Number Theory : : A Selection of Highlights / / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke.

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In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines fundamental results in Algebra and Number Theory along with their proofs and their history. In the second edition, we include additional material on per...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
VerfasserIn:
Fine, Benjamin,
Moldenhauer, Anja,
Rosenberger, Gerhard,
Schürenberg, Annika,
Wienke, Leonard,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2023
Year of Publication:2023
Edition:2nd, revised Edition
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (X, 380 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Contents
  • 1 The Natural, Integral, and Rational Numbers
  • 2 Division and Factorization in the Integers
  • 3 Modular Arithmetic
  • 4 Exceptional Numbers
  • 5 Pythagorean Triples and Sums of Squares
  • 6 Polynomials and Unique Factorization
  • 7 Field Extensions and Splitting Fields
  • 8 Permutations and Symmetric Polynomials
  • 9 Real Numbers
  • 10 The Complex Numbers, the Fundamental Theorem of Algebra, and Polynomial Equations
  • 11 Quadratic Number Fields and Pell’s Equation
  • 12 Transcendental Numbers and the Numbers e and π
  • 13 Compass and Straightedge Constructions and the Classical Problems
  • 14 Euclidean Vector Spaces
  • Bibliography
  • Index

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