Algebra I Textbook for Students of Mathematics /

This book is the first volume of an intensive "Russian-style" two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures - fields, rings, modules, algebras, groups, and categories - and explains the main principles of and methods for working...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gorodentsev, Alexey L. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Temas:
Algebra.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Notations and Abbreviations
  • 1 Set-Theoretic and Combinatorial Background
  • 2 Integers and Residues
  • 3 Polynomials and Simple Field Extensions
  • 4 Elementary Functions and Power Series Expansions
  • 5 Ideals, Quotient Rings, and Factorization
  • 6 Vectors
  • 7 Duality
  • 8 Matrices
  • 9 Determinants
  • 10 Euclidean Spaces
  • 11 Projective Spaces
  • 12 Groups
  • 13 Description of Groups
  • 14 Modules over a Principal Ideal Domain
  • 15 Linear Operators
  • 16 Bilinear Forms
  • 17 Quadratic Forms and Quadrics
  • 18 Real Versus Complex
  • 19 Hermitian Spaces
  • 20 Quaternions and Spinors
  • References
  • Hints to Selected Exercises
  • Index.

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