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Advanced linear algebra /

Loehr, Nicholas A.

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Advanced linear algebra /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Advanced linear algebra // Nicholas Loehr.
作者:	Loehr, Nicholas A.
出版者:	Boca Raton :CRC Press, Taylor & Francis Group, : c2014.,
面頁冊數:	xxii, 609 p. :ill. ;26 cm.
標題:	Algebras, Linear. -
ISBN:	9781466559011

Advanced linear algebra /
Loehr, Nicholas A.

Advanced linear algebra /Nicholas Loehr. - Boca Raton :CRC Press, Taylor & Francis Group,c2014. - xxii, 609 p. :ill. ;26 cm. - Textbooks in mathematics.

Includes bibliographical references and index.

"What is linear algebra, and how is it used? Upon examining almost any introductory text on linear algebra, we find a standard list of topics that seems to define the subject. On one hand, one part of linear algebra consists of computational techniques for solving linear equations, multiplying and inverting matrices, calculating and interpreting determinants, finding eigenvalues and eigenvectors, and so on. On the other hand, there is a theoretical side to linear algebra involving abstract vector spaces, subspaces, linear independence, spanning sets, bases, dimension, and linear transformations. But there is much more to linear algebra than just vector spaces, matrices, and linear equations! The goal of this book is to explore a variety of advanced topics in linear algebra, which highlight the rich interconnections linking this subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The 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"--

ISBN: 9781466559011UK65.99

LCCN: 2013049549Subjects--Topical Terms:

521915
Algebras, Linear.

LC Class. No.: QA184.2 / .L64 2014

Dewey Class. No.: 512/.5

Advanced linear algebra /
LDR:02335cam a2200217 a 4500 001 2017670
003 DLC
005 20150507145815.0
008 161003s2014 flua b 001 0 eng
010 $a 2013049549
020 $a 9781466559011 $q (hardback) : $c UK65.99
020 $a 1466559012 $q (hardback)
040 $a DLC $b eng $c DLC $d DLC
042 $a pcc
050 0 0 $a QA184.2 $b .L64 2014
082 0 0 $a 512/.5 $2 23
100 1 $a Loehr, Nicholas A. $3 2184806
245 1 0 $a Advanced linear algebra / $c Nicholas Loehr.
260 $a Boca Raton : $b CRC Press, Taylor & Francis Group, $c c2014.
300 $a xxii, 609 p. : $b ill. ; $c 26 cm.
490 0 $a Textbooks in mathematics
504 $a Includes bibliographical references and index.
520 $a "What is linear algebra, and how is it used? Upon examining almost any introductory text on linear algebra, we find a standard list of topics that seems to define the subject. On one hand, one part of linear algebra consists of computational techniques for solving linear equations, multiplying and inverting matrices, calculating and interpreting determinants, finding eigenvalues and eigenvectors, and so on. On the other hand, there is a theoretical side to linear algebra involving abstract vector spaces, subspaces, linear independence, spanning sets, bases, dimension, and linear transformations. But there is much more to linear algebra than just vector spaces, matrices, and linear equations! The goal of this book is to explore a variety of advanced topics in linear algebra, which highlight the rich interconnections linking this subject to geometry, algebra, analysis, combinatorics, numerical computation, and many other areas of mathematics. The 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"-- $c Provided by publisher.
650 0 $a Algebras, Linear. $3 521915