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Advanced Linear Algebra
ISBN/GTIN

Advanced Linear Algebra

BuchGebunden
349 Seiten
Englisch
This text for the second course in linear algebra presents a conscise, student-friendly approach to the theory. The author covers vector spaces, linear transformations, The Jordan canonical form, Inner product spaces and applications. This briefer book also offers carefully constructed proofs and answers to selected exercises.
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KlappentextThis text for the second course in linear algebra presents a conscise, student-friendly approach to the theory. The author covers vector spaces, linear transformations, The Jordan canonical form, Inner product spaces and applications. This briefer book also offers carefully constructed proofs and answers to selected exercises.
ZusammenfassungAdvanced Linear Algebra features a student-friendly approach to the theory of linear algebra. The author?s emphasis on vector spaces over general fields, with corresponding current applications, sets the book apart. He focuses on finite fields and complex numbers, and discusses matrix algebra over these fields. The text then proceeds to cover vector spaces in depth. Also discussed are standard topics in linear algebra including linear transformations, Jordan canonical form, inner product spaces, spectral theory, and, as supplementary topics, dual spaces, quotient spaces, and tensor products. Written in clear and concise language, the text sticks to the development of linear algebra without excessively addressing applications. A unique chapter on "How to Use Linear Algebra" is offered after the theory is presented. In addition, students are given pointers on how to start a research project. The proofs are clear and complete and the exercises are well designed. In addition, full solutions are included for almost all exercises.
Details
ISBN978-1-4987-5403-3
ProduktartBuch
Einbandart / SetinhaltGebunden
Erscheinungsjahr2015
Erscheinungsdatum01.07.2015
Seiten349 Seiten
SpracheEnglisch
Artikel-Nr.21739326

Inhalt/Kritik

InhaltsverzeichnisFields and Matrix Algebra The Field Z3 The Field AxiomsField ExamplesMatrix Algebra over Different FieldsExercisesVector SpacesDefinition of a Vector SpaceVector Spaces of FunctionsSubspaces and More Examples of Vector Spaces Linear Independence, Span, and Basis Coordinate Systems ExercisesLinear TransformationsDefinition of a Linear Transformation Range and Kernel of Linear ...mehr

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