Chapter 1. The Algebra of Linear Transformations and Quadratic Forms

  1. R. Courant,
  2. D. Hilbert

Published Online: 24 DEC 2007

DOI: 10.1002/9783527617210.ch1

Book Title

Methods of Mathematical Physics, Volume I

Methods of Mathematical Physics, Volume I

Additional Information

How to Cite

Courant, R. and Hilbert, D. (2007) The Algebra of Linear Transformations and Quadratic Forms, in Methods of Mathematical Physics, Volume I, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527617210.ch1

Publication History

  1. Published Online: 24 DEC 2007
  2. Published Print: 19 APR 1989

ISBN Information

Print ISBN: 9780471504474

Online ISBN: 9783527617210

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Keywords:

  • quadratic;
  • orthogonal;
  • components;
  • matrix;
  • algebra;
  • symmetric

Summary

This chapter contains sections titled:

  • Linear equations and linear transformations

  • Linear transformations with a linear parameter

  • Transformation to principal axes of quadratic and Hermitian forms

  • Minimum-maximum property of eigenvslues

  • Supplement and problems

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