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Home > Mathematics and Science books > Mathematics > Applied mathematics > Matrix Theory
Matrix Theory

Matrix Theory


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About the Book

A good understanding of matrices and their properties is a necessary prerequisite for progress in almost any field within pure or applied mathematics, for example calculus in several variables, numerical analysis or control theory. This book is based on the course Matrix theory given at Lund University. It starts by recalling the basic theory of matrices and determinants, and then proceeds to more advanced subjects such as the Jordan Normal Form, functions of matrices, norms, normal matrices and singular values. The book may be used for a second course in linear algebra in a bachelors program in mathematics, or for a first year graduate course in engineering subjects. Distinguishing qualities compared with other texts on the subject are: The book starts gently compared with other texts with the same scope; There are many carefully worked out examples; It is possible to use the book for classes on different levels, by selecting parts of the material. The book contains a large number of exercises with answers, indication of difficulty and sometimes hints. The exercises are intended to help the students to think in new ways and to understand the art of proving mathematical statements.

Table of Contents:
Matrices: Conventions & Notations; Gaussian Elimination & LU -decomposition; Determinants; Finite Dimensional Vector Spaces; Linear Maps; Spectral Theory; The Jordan Normal Form; The Minimal Polynomial; Functions on Matrices; Inequalities & Positive Matrices; Norms; Inner Products & Orthogonality; Singular Values; Quadratic & Hermitian Forms; The Moore-Penrose Pseudoinverse; Bibliography; Index.

About the Author :
Anders Holst is a senior lecturer in mathematics at the Faculty of Engineering. He has also taught at the University of Sussex and at the Faculty of Science at Lund University. The author has extensive experience teaching about the multivariate analysis with and without Maple. Victor Ufnarovski was educated at Moscow University. He is a professor of Mathematics at Lund University. His main research is Algebra, in particular matrix theory and computer algebra. For many years he has been training Swedish high school students for the International Mathematical Olympiad.


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Product Details
  • ISBN-13: 9789144100968
  • Publisher: Studentlitteratur AB
  • Publisher Imprint: Studentlitteratur AB
  • Height: 170 mm
  • Returnable: N
  • Width: 145 mm
  • ISBN-10: 9144100965
  • Publisher Date: 20 Aug 2014
  • Binding: Paperback
  • Language: English
  • Weight: 596 gr


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