This text stresses the use of matrices in study of transformations of the plane. Familiarizes reader with role of matrices in abstract algebraic systems and illustrates its effective use as mathematical tool in geometry. Includes proofs of most theorems. Answers to odd-numbered exercises.
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37 of 37 people found the following review helpful:
4.0 out of 5 stars
Good Introduction to Matrices. Great Price.,
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This review is from: Matrices and Transformations (Dover Books on Mathematics) (Paperback)
This fairly short Dover re-print edition is a good self-tutorial for students new to matrices. This book was originally published several years ago. but the mathematical notation is consistent with current texts. The first two chapters are moderately paced, covering such topics as real and complex matrices, Hermitian matrices, the inverse and rank of a matrix, and a brief introduction to systems of linear equations. The third chapter is a bit unique in focusing on application of matrices to transformations of the plane. I have encountered this topic in bits and pieces in various texts and I found this overview both interesting and helpful.The final chapter, titled Eigenvalues and Eigenvectors, was a bit too concise, touching too briefly on more complicated topics like diagonalization of matrices, Hamilton-Cayley Theorem, and quadratic forms. I recommend working through the fourth chapter (this is a short book) rather quickly to get a basic understanding, but then moving to more detailed treatments of eigenvalues and related topics elsewhwere. As a follow-up, I recommend another Dover edition - An Introduction to Matrices, Sets, ad Groups for Science Students. However, this text assumes substantial familiarity with manipulation of determinants. All in all, this book is a good buy and a good starting point for studying matrices.
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