Cargando…
An Introduction to Multivariable Mathematics
The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector spac...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2008.
|
| Edición: | 1st ed. 2008. |
| Colección: | Synthesis Lectures on Mathematics & Statistics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-02394-1 | ||
| 003 | DE-He213 | ||
| 005 | 20220601131754.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220601s2008 sz | s |||| 0|eng d | ||
| 020 | |a 9783031023941 |9 978-3-031-02394-1 | ||
| 024 | 7 | |a 10.1007/978-3-031-02394-1 |2 doi | |
| 050 | 4 | |a QA1-939 | |
| 072 | 7 | |a PB |2 bicssc | |
| 072 | 7 | |a MAT000000 |2 bisacsh | |
| 072 | 7 | |a PB |2 thema | |
| 082 | 0 | 4 | |a 510 |2 23 |
| 100 | 1 | |a Simon, Leon. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 3 | |a An Introduction to Multivariable Mathematics |h [electronic resource] / |c by Leon Simon. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2008. | |
| 300 | |a VIII, 132 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Synthesis Lectures on Mathematics & Statistics, |x 1938-1751 | |
| 505 | 0 | |a Linear Algebra -- Analysis in R -- More Linear Algebra -- More Analysis in R -- Appendix: Introductory Lectures on Real Analysis. | |
| 520 | |a The text is designed for use in a forty-lecture introductory course covering linear algebra, multivariable differential calculus, and an introduction to real analysis. The core material of the book is arranged to allow for the main introductory material on linear algebra, including basic vector space theory in Euclidean space and the initial theory of matrices and linear systems, to be covered in the first ten or eleven lectures, followed by a similar number of lectures on basic multivariable analysis, including first theorems on differentiable functions on domains in Euclidean space and a brief introduction to submanifolds. The book then concludes with further essential linear algebra, including the theory of determinants, eigenvalues, and the spectral theorem for real symmetric matrices, and further multivariable analysis, including the contraction mapping principle and the inverse and implicit function theorems. There is also an appendix which provides a nine-lecture introduction to real analysis. There are various ways in which the additional material in the appendix could be integrated into a course--for example in the Stanford Mathematics honors program, run as a four-lecture per week program in the Autumn Quarter each year, the first six lectures of the nine-lecture appendix are presented at the rate of one lecture per week in weeks two through seven of the quarter, with the remaining three lectures per week during those weeks being devoted to the main chapters of the text. It is hoped that the text would be suitable for a quarter or semester course for students who have scored well in the BC Calculus advanced placement examination (or equivalent), particularly those who are considering a possible major in mathematics. The author has attempted to make the presentation rigorous and complete, with the clarity and simplicity needed to make it accessible to an appropriately large group of students. Table of Contents: Linear Algebra / Analysis in R / More Linear Algebra / More Analysis in R / Appendix: Introductory Lectures on Real Analysis. | ||
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Statistics . | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Statistics. |
| 650 | 2 | 4 | |a Engineering Mathematics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031012662 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031035227 |
| 830 | 0 | |a Synthesis Lectures on Mathematics & Statistics, |x 1938-1751 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-031-02394-1 |z Texto Completo |
| 912 | |a ZDB-2-SXSC | ||
| 950 | |a Synthesis Collection of Technology (R0) (SpringerNature-85007) | ||