Cargando…
Advanced linear algebra /
Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to k...
| Clasificación: | QA184.2 C6.62 |
|---|---|
| Autor principal: | |
| Formato: | Libro |
| Idioma: | Inglés |
| Publicado: |
Boca Raton, Fl. :
CRC Press,
2010.
|
| Temas: |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | 000154589 | ||
| 005 | 20150615112600.0 | ||
| 008 | 150615s2010 flua grb 001 0 eng d | ||
| 020 | |a 9781439829660 |c (pasta dura) | ||
| 040 | |a I9Y |b spa |c I9Y |d OCLCO |d MX-MxUAM |d UAMI | ||
| 041 | 0 | |a eng | |
| 050 | 4 | |a QA184.2 |b C6.62 | |
| 082 | 0 | 0 | |a 512/.5 |
| 090 | |a QA184.2 |b C6.62 | ||
| 100 | 1 | |a Cooperstein, Bruce, |d 1950- | |
| 245 | 1 | 0 | |a Advanced linear algebra / |c Bruce Cooperstein. |
| 260 | |a Boca Raton, Fl. : |b CRC Press, |c 2010. | ||
| 300 | |a xviii, 346 p. : |b il., gráficas ; |c 24 cm. | ||
| 505 | 1 | |t Vector Spaces -- |t Linear Transformations -- |t Polynomials -- |t Theory of a Single Linear Operator -- |t Inner Product Spaces -- |t Linear Operators on Inner Product Spaces -- |t Trace and Determinant of a Linear Operator -- |t Bilinear Maps and Forms -- |t Tensor Products. | |
| 520 | 1 | |a Advanced Linear Algebra focuses on vector spaces and the maps between them that preserve their structure (linear transformations). It starts with familiar concepts and then slowly builds to deeper results. Along with including many exercises and examples, each section reviews what students need to know before studying the material. The book first introduces vector spaces over fields as well as the fundamental concepts of linear combinations, span of vectors, linear independence, basis, and dimension. After covering linear transformations, it discusses the algebra of polynomials with coefficients in a field, concentrating on results that are consequences of the division algorithm. The author then develops the whole structure theory of a linear operator on a finite dimensional vector space from a collection of some simple results. He also explores the entire range of topics associated with inner product spaces, from the Gram–Schmidt process to the spectral theorems for normal and self-adjoint operators on an inner product space. The text goes on to rigorously describe the trace and determinant of linear operators and square matrices. The final two chapters focus on bilinear forms and tensor products and related material. | |
| 538 | |a Camacho Quintana, Abel (N.E.14200) ( Sol.2011_113) /Departamento de Física / CBI / Presupuesto Biblioteca 156.04.02.92 / ICL20110054 / IBI20110235 / COBI Fac-2559 / $1103.31/ W295706 | ||
| 650 | 0 | |a Álgebra lineal | |
| 905 | |a LIBROS | ||
| 938 | |a Camacho Quintana, Abel (N.E.14200) ( Sol.2011_113) |b Departamento de Física |c CBI |d Presupuesto Biblioteca 156.04.02.92 |e ICL20110054 |f IBI20110235 | ||
| 949 | |a Biblioteca UAM Iztapalapa |b Colección General |c QA184.2 C6.62 | ||