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## Details

Material Type: | Internet resource |
---|---|

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Richard Kaye; Robert Wilson |

ISBN: | 0198502389 9780198502388 0198502370 9780198502371 |

OCLC Number: | 37890467 |

Notes: | Includes index. |

Description: | xi, 230 pages ; 25 cm. |

Contents: | 1. Matrices -- 2. Vector Spaces -- 3. Inner Product Spaces -- 4. Bilinear and Sesquilinear Forms -- 5. Orthogonal Bases -- 6. When is a form definite? -- 7. Quadratic forms and Sylvester's law of inertia -- 8. Linear Transformations -- 9. Polynomials -- 10. Eigenvalues and Eigenvectors -- 11. The minimum polynomial -- 12. Diagonalization -- 13. Self-Adjoint Transformations -- 14. The Jordan normal form. |

Series Title: | Oxford science publications |

Responsibility: | Richard Kaye and Robert Wilson. |

More information: |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"Kaye offers this work as a second course in linear algebra. As such, it deals with the specific subject matter of linear algebra in a way that could also be viewed as an introduction to abstract algebra or axiomatic mathematics in general. Knowledge of elementary matrix arithmetic and matrix methods--including the general solution to systems of linear equations and computation of inverses and determinants--is assumed, though these topics are briefly reviewed. Some exposure to abstract vector spaces and the notions of basis and dimension would also be helpful to one wishing to peruse this book. For those with a suitable background, this book provides a very rigorous treatment of the fundamentals of linear algebra, including inner product spaces, bilinear and quadratic forms, orthogonal bases, eigenvalues and eigenvectors, and the Jordan canonical form. Certainly appropriate for upper-division undergraduates entertaining thoughts of graduate work in mathematics."--Choice "Kaye offers this work as a second course in linear algebra. As such, it deals with the specific subject matter of linear algebra in a way that could also be viewed as an introduction to abstract algebra or axiomatic mathematics in general. Knowledge of elementary matrix arithmetic and matrix methods--including the general solution to systems of linear equations and computation of inverses and determinants--is assumed, though these topics are briefly reviewed. Some exposure to abstract vector spaces and the notions of basis and dimension would also be helpful to one wishing to peruse this book. For those with a suitable background, this book provides a very rigorous treatment of the fundamentals of linear algebra, including inner product spaces, bilinear and quadratic forms, orthogonal bases, eigenvalues and eigenvectors, and the Jordan canonical form. Certainly appropriate for upper-division undergraduates entertaining thoughts of graduate work in mathematics."--Choice "Kaye offers this work as a second course in linear algebra. As such, it deals with the specific subject matter of linear algebra in a way that could also be viewed as an introduction to abstract algebra or axiomatic mathematics in general. Knowledge of elementary matrix arithmetic and matrix methods--including the general solution to systems of linear equations and computation of inverses and determinants--is assumed, though these topics are briefly reviewed. Some exposure to abstract vector spaces and the notions of basis and dimension would also be helpful to one wishing to peruse this book. For those with a suitable background, this book provides a very rigorous treatment of the fundamentals of linear algebra, including inner product spaces, bilinear and quadratic forms, orthogonal bases, eigenvalues and eigenvectors, and the Jordan canonical form. Certainly appropriate for upper-division undergraduates entertaining thoughts of graduate work in mathematics."--Choice "Kaye offers this work as a second course in linear algebra. As such, it deals with the specific subject matter of linear algebra in a way that could also be viewed as an introduction to abstract algebra or axiomatic mathematics in general. Knowledge of elementary matrix arithmetic and matrixmethods--including the general solution to systems of linear equations and computation of inverses and determinants--is assumed, though these topics are briefly reviewed. Some exposure to abstract vector spaces and the notions of basis and dimension would also be helpful to one wishing to perusethis book. For those with a suitable background, this book provides a very rigorous treatment of the fundamentals of linear algebra, including inner product spaces, bilinear and quadratic forms, orthogonal bases, eigenvalues and eigenvectors, and the Jordan canonical form. Certainly appropriate forupper-division undergraduates entertaining thoughts of graduate work in mathematics."--Choice Read more...

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