The definite integral:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
New York [u.a.]
Gordon & Breach
1973
|
| Series: | Pocket mathematical library: Courses
7 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII,90 S. |
| ISBN: | 0677210906 |
Staff View
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| 245 | 1 | 0 | |a The definite integral |c Grigorij Michajlovič Fichtengol'c*. Engl. ed., transl. and freely adapted by Richard A. Silverman |
| 264 | 1 | |a New York [u.a.] |b Gordon & Breach |c 1973 | |
| 300 | |a VII,90 S. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pocket mathematical library: Courses |v 7 | |
| 700 | 1 | |a Silverman, Richard A. |d 1926- |e Sonstige |0 (DE-588)13970468X |4 oth | |
| 830 | 0 | |a Pocket mathematical library: Courses |v 7 |w (DE-604)BV002786399 |9 7 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Chapter 1. Basic Concepts 1
1. Calculation of Area. The Definite Integral 1
2. Darboux Sums. The Integrability Condition 6
3. Integrable Functions 14
Chapter 2. Properties of the Definite Integral 22
4. The Integral over an Oriented Interval. Some Key
Inequalities 22
5. The Mean Value Theorem for Integrals 28
6. The Integral as a Function of Its Upper Limit 32
Chapter 3. Evaluation of Definite Integrals 35
7. The Integral as the Limit of Its Riemann Sums 35
8. The Fundamental Theorem of Calculus 41
9. Integration by Parts 49
10. Integration by Change of Variables 55
Chapter 4. Some Applications 70
11. Taylor s Formula 70
12. The Transcendental Character of e 72
13. Legendre Polynomials 75
14. Integral Inequalities 83
Index 89
vii
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| any_adam_object | 1 |
| author | Fichtengolʹc, Grigorij M. 1888-1959 |
| author_GND | (DE-588)115226648 (DE-588)13970468X |
| author_facet | Fichtengolʹc, Grigorij M. 1888-1959 |
| author_role | aut |
| author_sort | Fichtengolʹc, Grigorij M. 1888-1959 |
| author_variant | g m f gm gmf |
| building | Verbundindex |
| bvnumber | BV003230512 |
| classification_rvk | SK 430 |
| ctrlnum | (OCoLC)630436760 (DE-599)BVBBV003230512 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003230512 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:56:34Z |
| institution | BVB |
| isbn | 0677210906 |
| language | Undetermined |
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| physical | VII,90 S. |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Gordon & Breach |
| record_format | marc |
| series | Pocket mathematical library: Courses |
| series2 | Pocket mathematical library: Courses |
| spelling | Fichtengolʹc, Grigorij M. 1888-1959 Verfasser (DE-588)115226648 aut The definite integral Grigorij Michajlovič Fichtengol'c*. Engl. ed., transl. and freely adapted by Richard A. Silverman New York [u.a.] Gordon & Breach 1973 VII,90 S. txt rdacontent n rdamedia nc rdacarrier Pocket mathematical library: Courses 7 Silverman, Richard A. 1926- Sonstige (DE-588)13970468X oth Pocket mathematical library: Courses 7 (DE-604)BV002786399 7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002031429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fichtengolʹc, Grigorij M. 1888-1959 The definite integral Pocket mathematical library: Courses |
| title | The definite integral |
| title_auth | The definite integral |
| title_exact_search | The definite integral |
| title_full | The definite integral Grigorij Michajlovič Fichtengol'c*. Engl. ed., transl. and freely adapted by Richard A. Silverman |
| title_fullStr | The definite integral Grigorij Michajlovič Fichtengol'c*. Engl. ed., transl. and freely adapted by Richard A. Silverman |
| title_full_unstemmed | The definite integral Grigorij Michajlovič Fichtengol'c*. Engl. ed., transl. and freely adapted by Richard A. Silverman |
| title_short | The definite integral |
| title_sort | the definite integral |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002031429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002786399 |
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