http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Advanced Linear Algebra, Second Edition takes a gentle approach that starts with familiar concepts and then gradually builds to deeper results. Each section begins with an outline of previously introduced concepts and results necessary for mastering the new material. By reviewing what students need to know before moving forward, the text builds a solid foundation upon which to progress. The new edition of this successful text focuses on vector spaces and the maps between them that preserve their structure (linear transformations). Designed for advanced undergraduate and beginning graduate stud.
Cover; Dedication; Contents; Preface to the Second Edition; Preface to the First Edition; Acknowledgments; List of Figures; Symbol Description; 1: Vector Spaces; 2: Linear Transformations; 3: Polynomials; 4: Theory of a Single Linear Operator; 5: Normed and Inner Product Spaces; 6: Linear Operators on Inner Product Spaces; 7: Trace and Determinant of a Linear Operator; 8: Bilinear Forms; 9: Sesquilinear Forms and Unitary Geometry; 10: Tensor Products; 11: Linear Groups and Groups of Isometries; 12: Additional Topics in Linear Algebra; 13: Applications of Linear Algebra.
Appendix A: Concepts from Topology and AnalysisAppendix B: Concepts from Group Theory; Appendix C: Answers to Selected Exercises; Appendix D: Hints to Selected Problems; Bibliography.
Boca Raton : CRC Press, Taylor & Francis Group, [2015]
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