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A History of Abstract Algebra

From Algebraic Equations to Modern Algebra

Pocket
Engelsk
Springer Undergraduate Mathematics Series
A History of Abstract Algebra
A History of Abstract Algebra
  • Forfatter: Jeremy Gray
  • Format: Pocket
  • Antall sider: 415
  • Språk: Engelsk
  • Forlag/Utgiver: SD Books
  • Serienavn: Springer Undergraduate Mathematics Series
  • EAN: 9783319947723
  • Utgivelsesår: 2018
  • Bidragsyter: Gray, Jeremy
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Introduction.- 1 Simple quadratic forms.- 2 Fermat''s Last Theorem.- 3 Lagrange''s theory of quadratic forms.- 4 Gauss''s Disquisitiones Arithmeticae.- 5 Cyclotomy.- 6 Two of Gauss''s proofs of quadratic reciprocity.- 7 Dirichlet''s Lectures.- 8 Is the quintic unsolvable?.- 9 The unsolvability of the quintic.- 10 Galois''s theory.- 11 After Galois - Introduction.- 12 Revision and first assignment.- 13 Jordan''s Trait¿ 14 Jordan and Klein.- 15 What is ''Galois theory''?.- 16 Algebraic number theory: cyclotomy.- 17 Dedekind''s first theory of ideals.- 18 Dedekind''s later theory of ideals.- 19 Quadratic forms and ideals.- 20 Kronecker''s algebraic number theory.- 21 Revision and second assignment.- 22 Algebra at the end of the 19th century.- 23 The concept of an abstract field.- 24 Ideal theory.- 25 Invariant theory.- 26 Hilbert''s Zahlbericht.- 27 The rise of modern algebra - group theory.- 28 Emmy Noether.- 29 From Weber to van der Waerden.- 30 Revision and final assignment.- A Polynom