Cargando…

Advanced linear algebra

"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...

Descripción completa

Detalles Bibliográficos
Autor principal: Loehr, Nicholas A.
Formato: Libro
Lenguaje:English
Publicado: Boca Raton : CRC Press/Taylor & Francis, c2014.
Colección:Textbooks in mathematics
Materias:

MARC

LEADER 00000cam a2200000 i 4500
001 17974749
003 UV#
005 20220616091254.0
008 150827s2014 flua b 001 0 eng d
010 |a  2013049549 
020 |a 9781466559011 (pasta dura) 
040 |a DLC  |b eng  |c DLC  |d UV# 
050 0 4 |a QA184.2  |b L63 2014 
082 0 0 |a 512/.5  |2 23 
100 1 |a Loehr, Nicholas A.  |9 416835 
245 1 0 |a Advanced linear algebra  |c / Nicholas Loehr. 
260 |a Boca Raton :  |b CRC Press/Taylor & Francis,  |c c2014. 
300 |a xxii, 609 páginas :  |b ilustraciones ;  |c 26 cm. 
490 0 |a Textbooks in mathematics 
500 |a "A Chapman & Hall book". 
504 |a Incluye bibliografía (páginas 591-594) e índice. 
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 7 |a Álgebra lineal  |9 2559 
942 |c LIBRO 
999 |c 293374  |d 293374