Linear Algebra with Applications Book Reviews

Linear Algebra with Applications by Roger Baker & Kenneth Kuttler Book Summary

This book gives a self- contained treatment of linear algebra with many of its most important applications. It is very unusual if not unique in being an elementary book which does not neglect arbitrary fields of scalars and the proofs of the theorems. It will be useful for beginning students and also as a reference for graduate students and others who need an easy to read explanation of the important theorems of this subject.

It presents a self- contained treatment of the algebraic treatment of linear differential equation which includes all proofs. It also contains many different proofs of the Cayley Hamilton theorem. Other applications include difference equations and Markov processes, the latter topic receiving a more thorough treatment than usual, including the theory of absorbing states. In addition it contains a complete introduction to the singular value decomposition and related topics like least squares and the pseudo-inverse.

Most major topics receive more than one discussion, one in the text and others being outlined in the exercises. The book also gives directions for using maple in performing many of the difficult algorithms.
Contents:Numbers, Vectors and FieldsMatricesRow OperationsVector SpacesLinear MappingsInner Product SpacesSimilarity and DeterminantsCharacteristic Polynomial and Eigenvalues of a MatrixSome ApplicationsUnitary, Orthogonal, Hermitian and Symmetric MatricesThe Singular Value Decomposition
Readership: Undergraduates in linear algebra.
Key Features:This book proves all the theorems including theorems about the determinantThis book does not neglect algebraic considerations like general fieldsThe applications of linear algebra are given a reasonably complete development

👋 Do you love Linear Algebra with Applications books? Please share your friends!

Linear Algebra with Applications (Roger Baker & Kenneth Kuttler) Book Reviews 2024

Roger Baker & Kenneth Kuttler - Linear Algebra with Applications Discussions & Comments

Have you read this book yet? What do you think about Linear Algebra with Applications by Roger Baker & Kenneth Kuttler book? Ask the bookpedia.co community a question about Linear Algebra with Applications!