Real analysis via sequences and series:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2015
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (XI, 476 S.) 27 illus |
| ISBN: | 9781493926510 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4939-2651-0 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804174754608840704 |
|---|---|
| adam_text | REAL ANALYSIS VIA SEQUENCES AND SERIES
/ LITTLE, CHARLES H.C.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
REAL ANALYSIS VIA SEQUENCES AND SERIES
/ LITTLE, CHARLES H.C.
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Little, Charles H. Teo, Kee L. |
| author_GND | (DE-588)170396827 (DE-588)1072302047 (DE-588)122257499 |
| author_facet | Little, Charles H. Teo, Kee L. |
| author_role | aut aut |
| author_sort | Little, Charles H. |
| author_variant | c h l ch chl k l t kl klt |
| building | Verbundindex |
| bvnumber | BV042592054 |
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| dewey-full | 515.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.8 |
| dewey-search | 515.8 |
| dewey-sort | 3515.8 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4939-2651-0 |
| format | Electronic eBook |
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| spelling | Little, Charles H. Verfasser (DE-588)170396827 aut Real analysis via sequences and series Charles H.C. Little ; Kee L. Teo ; Bruce van Brunt New York, NY [u.a.] Springer 2015 1 Online-Ressource (XI, 476 S.) 27 illus txt rdacontent c rdamedia cr rdacarrier Undergraduate texts in mathematics 0172-6056 Mathematics Sequences (Mathematics) Real Functions Sequences, Series, Summability Mathematik Folge Mathematik (DE-588)4017790-7 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 gnd rswk-swf Reelle Analysis (DE-588)4627581-2 s Folge Mathematik (DE-588)4017790-7 s DE-604 Teo, Kee L. Verfasser (DE-588)1072302047 aut Van Brunt, Bruce Sonstige (DE-588)122257499 oth Erscheint auch als Druckausgabe 978-1-4939-2650-3 https://doi.org/10.1007/978-1-4939-2651-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025266&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025266&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Little, Charles H. Teo, Kee L. Real analysis via sequences and series Mathematics Sequences (Mathematics) Real Functions Sequences, Series, Summability Mathematik Folge Mathematik (DE-588)4017790-7 gnd Reelle Analysis (DE-588)4627581-2 gnd |
| subject_GND | (DE-588)4017790-7 (DE-588)4627581-2 |
| title | Real analysis via sequences and series |
| title_auth | Real analysis via sequences and series |
| title_exact_search | Real analysis via sequences and series |
| title_full | Real analysis via sequences and series Charles H.C. Little ; Kee L. Teo ; Bruce van Brunt |
| title_fullStr | Real analysis via sequences and series Charles H.C. Little ; Kee L. Teo ; Bruce van Brunt |
| title_full_unstemmed | Real analysis via sequences and series Charles H.C. Little ; Kee L. Teo ; Bruce van Brunt |
| title_short | Real analysis via sequences and series |
| title_sort | real analysis via sequences and series |
| topic | Mathematics Sequences (Mathematics) Real Functions Sequences, Series, Summability Mathematik Folge Mathematik (DE-588)4017790-7 gnd Reelle Analysis (DE-588)4627581-2 gnd |
| topic_facet | Mathematics Sequences (Mathematics) Real Functions Sequences, Series, Summability Mathematik Folge Mathematik Reelle Analysis |
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