Infinite series / Rudiments:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
New York
Gordon & Breach
1970
|
| Edition: | Rev. Engl. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | The pocket mathematical library. - Aus d. Russ. übers. - EST: Kurs differencial'nogo i integral'nogo isčislenija <engl.> |
| Physical Description: | VII, 136 S. |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1. Basic Concepts 1
2. Some Key Theorems 5
Chapter 2. Positive Series 9
3. Preliminaries 9
4. Comparison Tests 12
5. The Tests of Cauchy, D Alembert and Raabe 23
6. The Tests of Kummer, Bertrand and Gauss 33
7. The Integral Test 41
8. Further Results 48
Chapter 3. Arbitrary Series 61
9. The Cauchy Convergence Criterion 61
10. Absolute and Conditional Convergence 63
11. Power Series 68
12. Alternating Series. Leibniz s Test 73
13. The Tests of Abel and Dirichlet 77
Chapter 4. Infinite Products 89
14. Concepts and Notation 89
15. Basic Theorems 94
Chapter 5. Series and Product Expansions of
Elementary Functions 106
16. Taylor Series 106
17. Examples 112
18. The Binomial Series 119
19. Stirling s Formula 124
20. Infinite Product Expansion of the Sine 127
Index 135
vii
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| any_adam_object | 1 |
| author | Fichtengolʹc, Grigorij M. 1888-1959 |
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| author_facet | Fichtengolʹc, Grigorij M. 1888-1959 |
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| bvnumber | BV009047816 |
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| edition | Rev. Engl. ed. |
| format | Book |
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| language | English Russian |
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| spelling | Fichtengolʹc, Grigorij M. 1888-1959 Verfasser (DE-588)115226648 aut Infinite series / Rudiments Rev. Engl. ed. New York Gordon & Breach 1970 VII, 136 S. txt rdacontent n rdamedia nc rdacarrier The pocket mathematical library. - Aus d. Russ. übers. - EST: Kurs differencial'nogo i integral'nogo isčislenija <engl.> Reihe (DE-588)4049197-3 gnd rswk-swf Reihe (DE-588)4049197-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005988113&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fichtengolʹc, Grigorij M. 1888-1959 Infinite series / Rudiments Reihe (DE-588)4049197-3 gnd |
| subject_GND | (DE-588)4049197-3 |
| title | Infinite series / Rudiments |
| title_auth | Infinite series / Rudiments |
| title_exact_search | Infinite series / Rudiments |
| title_full | Infinite series / Rudiments |
| title_fullStr | Infinite series / Rudiments |
| title_full_unstemmed | Infinite series / Rudiments |
| title_short | Infinite series / Rudiments |
| title_sort | infinite series rudiments |
| topic | Reihe (DE-588)4049197-3 gnd |
| topic_facet | Reihe |
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