عنوان

Advanced linear algebra /

(Number (ISBN

1466559012 (hardback)

(Number (ISBN

9781466559011 (hardback)

Number

dltt

Title Proper

Advanced linear algebra /

General Material Designation

[Book]

First Statement of Responsibility

Nicholas Loehr, Virginia Polytechic Institute and State University Blacksburg, USA

Specific Material Designation and Extent of Item

xxii, 609 pages ;

Dimensions

27 cm

Series Title

Discrete mathematics and its applications

Text of Note

Includes bibliographical references and index

Text of Note

1. Background on algebraic structures -- 2. Matrices -- 3. Matrices with special structure -- 4. The interplay of geometry and linear algebra -- 5. Modules, independence, and classification theorems -- 6. Universal mapping properties and multilinear algebra

0

Text of Note

"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"--

Algebras, Linear

Number

Edition

Class number

Book number

Loehr, Nicholas A.

Date of Transaction

20150609115014.0

Cataloguing Rules (Descriptive Conventions))

rda

Electronic name

[Book]

Y