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Beschreibung
Linear Algebra provides a valuable introduction to the basic theory of matrices and vector spaces. The book covers: matrices, vector spaces, bases, and dimension; inner products, bilinear and sesquilinear forms over vector spaces; linear transformations, eigenvalues and eigenvectors, diagonalization, and Jordan normal form; and fields and polynomials over fields. Abstract methods are illustrated with concrete examples, and more detailed examples highlight applications of linear algebra to analysis, geometry, differential equations, relativity and quantum mechanics. Rigorous without being unnecessarily abstract, this useful and concise guide to the subject will be important reading for all students in mathematics and related fields.
Linear Algebra provides a valuable introduction to the basic theory of matrices and vector spaces. The book covers: matrices, vector spaces, bases, and dimension; inner products, bilinear and sesquilinear forms over vector spaces; linear transformations, eigenvalues and eigenvectors, diagonalization, and Jordan normal form; and fields and polynomials over fields. Abstract methods are illustrated with concrete examples, and more detailed examples highlight applications of linear algebra to analysis, geometry, differential equations, relativity and quantum mechanics. Rigorous without being unnecessarily abstract, this useful and concise guide to the subject will be important reading for all students in mathematics and related fields.
Inhaltsverzeichnis
  • 1: Matrices

  • 2: Vector spaces

  • 3: Inner product spaces

  • 4: Bilinear and sesquilinear forms

  • 5: Orthogonal bases

  • 6: When in a form definite?

  • 7: Quadratic forms

  • 8: Linear transformations

  • 9: Polynomials

  • 10: Eigenvalues and eigenvectors

  • 11: The minimum polynomial

  • 12: Diagonalization

  • 13: Self-adjoint transformations

  • 14: The Jordan normal form

Details
Erscheinungsjahr: 1998
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198502371
ISBN-10: 0198502370
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Kaye, Wilson
Kaye, Richard
Wilson, Rob
Hersteller: OUP Oxford
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 234 x 156 x 13 mm
Von/Mit: Wilson Kaye (u. a.)
Erscheinungsdatum: 29.01.1998
Gewicht: 0,377 kg
Artikel-ID: 108639665

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