Cargando…
From Calculus to Analysis
This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intend...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-13641-7 | ||
| 003 | DE-He213 | ||
| 005 | 20220118182540.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150321s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319136417 |9 978-3-319-13641-7 | ||
| 024 | 7 | |a 10.1007/978-3-319-13641-7 |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 Pedersen, Steen. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a From Calculus to Analysis |h [electronic resource] / |c by Steen Pedersen. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XIX, 342 p. 48 illus., 14 illus. in color. |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 Part I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices. | |
| 520 | |a This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers. In addition to the standard results of advanced calculus, the book contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section. | ||
| 650 | 0 | |a Integral equations. | |
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 1 | 4 | |a Integral Equations. |
| 650 | 2 | 4 | |a Algebra. |
| 650 | 2 | 4 | |a Analysis. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319136424 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319136400 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319381367 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-13641-7 |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) | ||