Algebraic Theory of Numbers

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A01=Hermann Weyl
Abelian group
Abstract algebra
Additive group
Adjunction (field theory)
Algebra
Algebraic equation
Algebraic function
Algebraic number
Algebraic number field
Algebraic number theory
Algebraic operation
Algebraic surface
Algebraic theory
An Introduction to the Theory of Numbers
Analytic function
Author_Hermann Weyl
Automorphism
Big O notation
Calculation
Category=PBH
Coefficient
Commutative property
Commutative ring
Complex number
Cyclotomic field
Dirichlet series
Divisibility rule
Division algebra
Divisor
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Finite field
Fundamental theorem of algebra
Galois group
Galois theory
Geometry
Ideal number
Identity matrix
Infinite product
Integer
Irreducibility (mathematics)
Irreducible polynomial
Logarithm
Mathematics
Modular arithmetic
Multiplicative group
Natural number
Number theory
P-adic number
Polynomial
Prime factor
Prime ideal
Prime number
Prime number theorem
Principal ideal
Quadratic equation
Quadratic field
Quadratic form
Quadratic reciprocity
Quadratic residue
Riemann surface
Ring (mathematics)
Ring of integers
Root of unity
Scientific notation
Sign (mathematics)
Square number
Subgroup
Summation
Theorem
Theory of equations
Variable (mathematics)
Vector space

Product details

  • ISBN 9780691059174
  • Weight: 340g
  • Dimensions: 152 x 235mm
  • Publication Date: 10 May 1998
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Paperback
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In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields. Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.
Hermann Weyl held the chair of mathematics at Zyrich Technische Hochschule from 1913 to 1930; from 1930 to 1933 he held the chair of mathematics at the University of Göttingen; and from 1933 until he retired in 1952 he was a Permanent Member of the Institute for Advanced Study in Princeton.