Linear Algebra With Applications

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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 DecompositionReadership: 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

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Linear Algebra with Applications 2e editie is een boek van Otto K. Bretscher uitgegeven bij Pearson Education Limited. ISBN 9780130198570 Offering the most geometric presentation available, Linear Algebra with Applications, Fourth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the many techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum. Extensive problem sets keep students involved in the material, while genuine applications for a broad range of sciences prepares them for the methods and models of contemporary scientists. In addition, the wealth and variety of exercise sets enable instructors to design a course to best suit the goals and needs of their students. This revision reflects careful review and appropriate changes to the wording of each idea, while preserving the content structure of the previous edition.

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Pagina's: 464, Editie: Eerste editie, Paperback, Pearson Education