New Foundations in Mathematics The Geometric Concept of Number /

The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sobczyk, Garret (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Temas:
Algebras, Linear.
Topological groups.
Lie groups.
Group theory.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Algebra.
Linear Algebra.
Topological Groups and Lie Groups.
Group Theory and Generalizations.
Mathematical Methods in Physics.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 1 Modular Number Systems
  • 2 Complex and Hyperbolic Numbers
  • 3 Geometric Algebra
  • 4 Vector Spaces and Matrices
  • 5 Outer Product and Determinants
  • 6 Systems of Linear Equations
  • 7 Linear Transformations on R^n
  • 8 Structure of a Linear Operator
  • 9 Linear and Bilinear Forms
  • 10 Hermitian Inner Product Spaces
  • 11 Geometry of Moving Planes
  • 12 Representations of the Symmetric Group
  • 13 Calculus on m-Surfaces
  • 14 Differential Geometry of Curves
  • 15 Differential Geometry of k-Surfaces
  • 16 Mappings Between Surfaces
  • 17 Non-Euclidean and Projective Geometries
  • 18 Lie Groups and Lie Algebras
  • References
  • Symbols.

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