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A History of Abstract Algebra

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A History of Abstract Algebra
  Linear Algebra
  Linear equations
  Determinants Matrices and linear transformations
  Linear independence, basis, and dimension
  Vector spaces
  Ring Theory
  Noncommutative ring theory
  Commutative ring theory
  The abstract definition of a ring
  Emmy Noether and Emil Artin
  Field Theory
  Galois theory
  Algebraic number theory
  Algebraic geometry
  Symbolical algebra
  The abstract definition of a field
  Hensel's p-adic numbers
  Steinitz
  A glance ahead
  Biographies of Selected Mathematicians
  Emmy Noether and the Advent of Abstract Algebra
  A course in abstract algebra inspired by history
  Group Theory
  Sources of group theory
  Development of "specialized" theories of groups
  Emergence of abstraction in group theory
  Consolidation of the abstract group concept
 >>Note: dawn of abstract group theory
  Divergence of developments in group theory
  Classical Algebra
  Early roots
  The Greeks
  Al-Khwarizmi
  Cubic and quartic equations
  The cubic and complex numbers
  Algebraic notation: Viete and Descartes
  The theory of equations and the Fundamental Theorem of Algebra
  Symbolical algebra
 A History of Abstract Algebra
 Israel Kleiner
 >>New Map
 Biographies of Selected Mathematicians
  Noether
  Early years
  University studies
  Gottingen
  Noether as a teacher
  Galois
  Mathematics
  Politics
  The duel
  Testament
  Hamilton
  Optics
  Dynamics
  Complex numbers
  Foundations of algebra
  Quaternions
  Gauss
  Number theory
  Differential geometry, probability, statistics
  The diary
  Dedekind
  Algebraic numbers
  Real numbers
  Natural numbers
  Bryn Mawr
  Cayley
  Invariants
  Groups
  Matrices
  Geometry
 A History of Abstract Algebra
 Israel Kleiner
 >>New Map
 A course in abstract algebra inspired by history
  Problem I: Why is (-1)(-1) = 1?
  Problem II: What are the integer solutions of
  Problem III: Can we trisect a 60° angle using only straightedge and compass?
  Problem IV: Can we solve
  Problem V: "Papa, can you multiply triples?"
 A History of Abstract Algebra
 Israel Kleiner
 >>New Map
 Emmy Noether and the Advent of Abstract Algebra
  Invariant theory
  Commutative algebra
  Noncommutative algebra and representation theory
  Applications of noncommutative to commutative algebra
  Noether's legacy
 A History of Abstract Algebra
 Israel Kleiner