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Real Analysis on Intervals
The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real worl...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New Delhi :
Springer India : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-81-322-2148-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220114134652.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 141120s2014 ii | s |||| 0|eng d | ||
| 020 | |a 9788132221487 |9 978-81-322-2148-7 | ||
| 024 | 7 | |a 10.1007/978-81-322-2148-7 |2 doi | |
| 050 | 4 | |a QA431 | |
| 072 | 7 | |a PBKL |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a PBKL |2 thema | |
| 082 | 0 | 4 | |a 515.45 |2 23 |
| 100 | 1 | |a Choudary, A. D. R. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Real Analysis on Intervals |h [electronic resource] / |c by A. D. R. Choudary, Constantin P. Niculescu. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a New Delhi : |b Springer India : |b Imprint: Springer, |c 2014. | |
| 300 | |a XI, 525 p. 36 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 | ||
| 505 | 0 | |a Preface -- Chapter 1. The Real Numbers -- Chapter 2. Limits of Real Sequences -- Chapter 3. The Euclidean Spaces RP and C -- Chapter 4. Numerical Series -- Chapter 5. Metric and Topology -- Chapter 6. Continuous Functions -- Chapter 7. Elementary Functions -- Chapter 8. Differential Calculus on R -- Chapter 9. The Riemann Integral -- Chapter 10. Improper Riemann Integrals -- Chapter 11. The Theory of Lebesgue Integral -- Chapter 12. Fourier Series -- Appendices. | |
| 520 | |a The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps students read, understand and construct mathematical proofs, develop their problem-solving abilities and comprehend the importance and frontiers of computer facilities and much more. It offers comprehensive material for both seminars and independent study for readers with a basic knowledge of calculus and linear algebra. The first nine chapters followed by the appendix on the Stieltjes integral are recommended for graduate students studying probability and statistics, while the first eight chapters followed by the appendix on dynamical systems will be of use to students of biology and environmental sciences. Chapter 10 and the appendixes are of interest to those pursuing further studies at specialized advanced levels. Exercises at the end of each section, as well as commentaries at the end of each chapter, further aid readers' understanding. The ultimate goal of the book is to raise awareness of the fine architecture of analysis and its relationship with the other fields of mathematics. | ||
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 0 | |a Fourier analysis. | |
| 650 | 1 | 4 | |a Integral Equations. |
| 650 | 2 | 4 | |a Integral Transforms and Operational Calculus. |
| 650 | 2 | 4 | |a Fourier Analysis. |
| 700 | 1 | |a Niculescu, Constantin P. |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 9788132221494 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132221470 |
| 776 | 0 | 8 | |i Printed edition: |z 9788132235637 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-81-322-2148-7 |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) | ||