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The Oxford Linear Algebra for Scientists
Taschenbuch von Andre Lukas
Sprache: Englisch

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Beschreibung
Aimed at first-year undergraduate student in physics and engineering, this textbook combines a rigorous theoretical introduction to linear algebra with many examples, solved problems, and exercises, as well as scientific applications of the subject, including internet search, artificial intelligence, and quantum computing.
Aimed at first-year undergraduate student in physics and engineering, this textbook combines a rigorous theoretical introduction to linear algebra with many examples, solved problems, and exercises, as well as scientific applications of the subject, including internet search, artificial intelligence, and quantum computing.
Über den Autor
Andre Lukas graduated in physics at the University of Wuppertal in 1991 and received his doctoral degree at the Technical University of Munich in 1995, before moving on to postdoctoral positions at the University of Pennsylvania and the University of Oxford. After a period as a member of faculty at the University of Sussex he returned to the University of Oxford in 2004 where he is currently a Professor of Theoretical Physics. His main area of research is string theory and its relation to differential and algebraic geometry.
Inhaltsverzeichnis
  • 1: Linearity - an informal introduction

  • 2: Sets and functions

  • 3: Groups

  • 4: Fields

  • 5: Coordinate vectors

  • 6: Vector spaces

  • 7: Elementary vector space properties

  • 8: Vector subspaces

  • 9: The dot product

  • 10: Vector and triple product

  • 11: Lines and planes

  • 12: Introduction to linear maps

  • 13: Matrices

  • 14: The structure of linear maps

  • 15: Linear maps in terms of matrices

  • 16: Computing with matrices

  • 17: Linear systems

  • 18: Determinants

  • 19: Basics of eigenvalues

  • 20: Diagonalising linear maps

  • 21: The Jordan normal form

  • 22: Scalar products

  • 23: Adjoint and unitary maps

  • 24: Diagonalisation - again

  • 25: Bi-linear and sesqui-linear forms

  • 26: The dual vector space

  • 27: Tensors

Details
Erscheinungsjahr: 2022
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198844921
ISBN-10: 0198844921
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Lukas, Andre
Hersteller: Oxford University Press
Maße: 244 x 170 x 23 mm
Von/Mit: Andre Lukas
Erscheinungsdatum: 09.06.2022
Gewicht: 0,826 kg
Artikel-ID: 121197308
Über den Autor
Andre Lukas graduated in physics at the University of Wuppertal in 1991 and received his doctoral degree at the Technical University of Munich in 1995, before moving on to postdoctoral positions at the University of Pennsylvania and the University of Oxford. After a period as a member of faculty at the University of Sussex he returned to the University of Oxford in 2004 where he is currently a Professor of Theoretical Physics. His main area of research is string theory and its relation to differential and algebraic geometry.
Inhaltsverzeichnis
  • 1: Linearity - an informal introduction

  • 2: Sets and functions

  • 3: Groups

  • 4: Fields

  • 5: Coordinate vectors

  • 6: Vector spaces

  • 7: Elementary vector space properties

  • 8: Vector subspaces

  • 9: The dot product

  • 10: Vector and triple product

  • 11: Lines and planes

  • 12: Introduction to linear maps

  • 13: Matrices

  • 14: The structure of linear maps

  • 15: Linear maps in terms of matrices

  • 16: Computing with matrices

  • 17: Linear systems

  • 18: Determinants

  • 19: Basics of eigenvalues

  • 20: Diagonalising linear maps

  • 21: The Jordan normal form

  • 22: Scalar products

  • 23: Adjoint and unitary maps

  • 24: Diagonalisation - again

  • 25: Bi-linear and sesqui-linear forms

  • 26: The dual vector space

  • 27: Tensors

Details
Erscheinungsjahr: 2022
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9780198844921
ISBN-10: 0198844921
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Lukas, Andre
Hersteller: Oxford University Press
Maße: 244 x 170 x 23 mm
Von/Mit: Andre Lukas
Erscheinungsdatum: 09.06.2022
Gewicht: 0,826 kg
Artikel-ID: 121197308
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