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Real Analysis via Sequences and Series
This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisti...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | Undergraduate Texts in Mathematics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4939-2651-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220120065500.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150528s2015 xxu| s |||| 0|eng d | ||
| 020 | |a 9781493926510 |9 978-1-4939-2651-0 | ||
| 024 | 7 | |a 10.1007/978-1-4939-2651-0 |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 Little, Charles H.C. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Real Analysis via Sequences and Series |h [electronic resource] / |c by Charles H.C. Little, Kee L. Teo, Bruce van Brunt. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2015. | |
| 300 | |a XI, 476 p. 27 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 Undergraduate Texts in Mathematics, |x 2197-5604 | |
| 505 | 0 | |a Preface -- 1. Introduction -- 2. Sequences -- 3. Series -- 4. Limits of Functions -- 5. Continuity -- 6. Differentiability -- 7. The Riemann Integral -- 8. Taylor Polynomials and Taylor Series -- 9. The Fixed Point Problem -- 10. Sequences of Functions -- Bibliography -- Index. | |
| 520 | |a This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results, and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis's formula and Stirling's formula, proofs of the irrationality of π and e, and a treatment of Newton's method as a special instance of finding fixed points of iterated functions. | ||
| 650 | 0 | |a Functions of real variables. | |
| 650 | 0 | |a Sequences (Mathematics). | |
| 650 | 1 | 4 | |a Real Functions. |
| 650 | 2 | 4 | |a Sequences, Series, Summability. |
| 700 | 1 | |a Teo, Kee L. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a van Brunt, Bruce. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781493926527 |
| 776 | 0 | 8 | |i Printed edition: |z 9781493926503 |
| 776 | 0 | 8 | |i Printed edition: |z 9781493941810 |
| 830 | 0 | |a Undergraduate Texts in Mathematics, |x 2197-5604 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4939-2651-0 |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) | ||