Examples and theorems in analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Springer
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 287 S. graph. Darst. |
| ISBN: | 1852334932 |
Internformat
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Datensatz im Suchindex
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| adam_text | PETER WALKER EXAMPLES AND THEOREMS IN ANALYSIS WITH 19 FIGURES SPRINGER
CONTENTS 1 . SEQUENCES
.................................................. 1 1.1 EXAMPLES.
FORMULAE AND RECURSION ......................... 2 1.2 MONOTONE AND
BOUNDED SEQUENCES .......................... 4 1.5 CAUCHY SEQUENCES
........................................ 23 1.3 CONVERGENCE
............................................. 9 1.4 SUBSEQUENCES
............................................ 20 EXERCISES
.................................................... 28 2 . FUNCTIONS
AND CONTINUITY ................................... 31 2.1 EXAMPLES
......................... .................. 32 2.2 MONOTONE AND BOUNDED
FUNCTIONS ................... 2.3 LIMITS AND CONTINUITY
................... 2.4 BOUNDS AND INTERMEDIATE VALUES
.................... 2.5 INVERSE FUNCTIONS
......................................... 50 2.6 RECURSIVE LIMITS AND
ITERATION ......................... 2.7 ONE-SIDED AND INFINITE LIMITS .
REGULATED FUNCTIONS ........... 56
...................................... ... 60 2.8 COUNTABILITY EXERCISES
......... ........................................ 64 . . 35
............... 38 45 53 3 . DIFFERENTIATION
.............................................. 67 3.1 DIFFERENTIABLE
FUNCTIONS ................................... 67 3.2 THE SIGNIFICANCE OF
THE DERIVATIVE .......................... 71 3.3 RULES FOR
DIFFERENTIATION ................................... 75 3.4 MEAN VALUE
THEOREMS AND ESTIMATION ...................... 79 3.6 OPTIMISATION
.............................................
........................................ 3.5 MORE ON ITERATION 86 93 IX
EXERCISES .................................................... 99 4 .
CONSTRUCTIVE INTEGRATION .................................... 103 4.2
THE INTEGRAL OF A REGULATED FUNCTION ....................... 107 4.3
INTEGRATION AND DIFFERENTIATION ............................. 111 4.4
APPLICATIONS ............................................. 117 4.5
FURTHER MEAN VALUE THEOREMS ............................. 119 EXERCISES
.................................................... 122 4.1 STEP
FUNCTIONS ........................................... 104 5 . IMPROPER
INTEGRALS ......................................... 125 5.1 IMPROPER
INTEGRALS ON AN INTERVAL ........................... 126 5.2 IMPROPER
INTEGRALS AT INFINITY .............................. 128 5.3 THE GAMMA
FUNCTION ..................................... 132 EXERCISES
.................................................... 138 6 . SERIES
....................................................... 141 6.1
CONVERGENCE ............................................. 141 6.2 SERIES
WITH POSITIVE TERMS ................................. 144 6.3 SERIES
WITH ARBITRARY TERMS ............................... 149 6.4 POWER
SERIES ............................................. 157 6.5 EXPONENTIAL
AND TRIGONOMETRIC FUNCTIONS ................... 163 6.6 SEQUENCES AND
SERIES OF FUNCTIONS .......................... 172 6.7 INFINITE PRODUCTS
......................................... 184 EXERCISES
.................................................... 190 7 .
APPLICATIONS ................................................ 195 7.1
FOURIER SERIES ............................................ 195 7.2
FOURIER INTEGRALS ......................................... 208 7.3
DISTRIBUTIONS ............................................. 219 7.4
ASYMPTOTICS ............................................. 235 EXERCISES
.................................................... 243 A . FUBINI*S
THEOREM ........................................... 249 B . HINTS AND
SOLUTIONS FOR EXERCISES ........................... 257 BIBLIOGRAPHY
.................................................... 283 INDEX
........................................................... 285
|
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| author | Walker, Peter L. |
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| dewey-full | 51522 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 22 515 |
| dewey-search | 515 22 515 |
| dewey-sort | 3515 222 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV017832987 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:22:20Z |
| institution | BVB |
| isbn | 1852334932 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010703840 |
| oclc_num | 52728872 |
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| owner_facet | DE-20 DE-824 DE-384 DE-521 DE-634 DE-83 DE-11 DE-188 DE-29T |
| physical | X, 287 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
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| spelling | Walker, Peter L. Verfasser aut Examples and theorems in analysis Peter Walker London [u.a.] Springer 2004 X, 287 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse (wiskunde) gtt Análisis matemático Cálculo Reële functies gtt Mathematical analysis Calculus Fourier analysis Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010703840&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Walker, Peter L. Examples and theorems in analysis Analyse (wiskunde) gtt Análisis matemático Cálculo Reële functies gtt Mathematical analysis Calculus Fourier analysis Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Examples and theorems in analysis |
| title_auth | Examples and theorems in analysis |
| title_exact_search | Examples and theorems in analysis |
| title_full | Examples and theorems in analysis Peter Walker |
| title_fullStr | Examples and theorems in analysis Peter Walker |
| title_full_unstemmed | Examples and theorems in analysis Peter Walker |
| title_short | Examples and theorems in analysis |
| title_sort | examples and theorems in analysis |
| topic | Analyse (wiskunde) gtt Análisis matemático Cálculo Reële functies gtt Mathematical analysis Calculus Fourier analysis Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analyse (wiskunde) Análisis matemático Cálculo Reële functies Mathematical analysis Calculus Fourier analysis Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010703840&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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