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Several Real Variables
This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Springer Undergraduate Mathematics Series,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-27956-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220116191812.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 160209s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319279565 |9 978-3-319-27956-5 | ||
| 024 | 7 | |a 10.1007/978-3-319-27956-5 |2 doi | |
| 050 | 4 | |a QA331.5 | |
| 072 | 7 | |a PBKB |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKB |2 thema | |
| 082 | 0 | 4 | |a 515.8 |2 23 |
| 100 | 1 | |a Kantorovitz, Shmuel. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Several Real Variables |h [electronic resource] / |c by Shmuel Kantorovitz. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a XII, 307 p. 16 illus. |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 Springer Undergraduate Mathematics Series, |x 2197-4144 | |
| 505 | 0 | |a Continuity -- Derivation -- Implicit Functions -- Integration -- Solutions. . | |
| 520 | |a This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems •The differential as a linear functional; Jacobians, Hessians, and Taylor's theorem in several variables •The Implicit Function Theorem for a system of equations, proved via Banach's Fixed Point Theorem •Applications to Ordinary Differential Equations •Line integrals and an introduction to surface integrals This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study. Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in line ar algebra and analysis of one real variable. | ||
| 650 | 0 | |a Functions of real variables. | |
| 650 | 1 | 4 | |a Real Functions. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319279558 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319279572 |
| 830 | 0 | |a Springer Undergraduate Mathematics Series, |x 2197-4144 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-27956-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||