TY - BOOK AU - Loehr,Nicholas TI - Advanced linear algebra T2 - Textbooks in mathematics SN - 9781466559011 (hardback) U1 - 512.5 23 PY - 2014/// CY - Boca Raton PB - CRC Press KW - Linear Algebras KW - MATHEMATICS / Algebra / General KW - MATHEMATICS / Combinatorics N1 - Includes bibliographical references and index; I. Background on algebraic structures-- II. Matrices -- III. Matrices with special structure -- IV. The interplay of geometry and linear algebra -- V. Modules, independence, and classification theorems -- VI. Universal mapping properties and multilinear algebra-- Further reading-- Bibliography-- Index N2 - This book consists of twenty chapters, grouped into six main subject areas (algebraic structures, matrices, structured matrices, geometric aspects of linear algebra, modules, and multilinear algebra). Some chapters approach introductory material from a more sophisticated or abstract viewpoint; other chapters provide elementary expositions of more theoretical concepts; yet other chapters offer unusual perspectives or novel treatments of standard results. Unlike some advanced mathematical texts, this book has been carefully designed to minimize the dependence of each chapter on material found in earlier chapters. Each chapter has been conceived as a "mathematical vignette" devoted to the development of one specific topic ER -