Inside calculus:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2000
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 211 S. graph. Darst. |
| ISBN: | 0387989323 |
Internformat
MARC
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| 100 | 1 | |a Exner, George R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Inside calculus |c George R. Exner |
| 264 | 1 | |a New York [u.a.] |b Springer |c 2000 | |
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| 490 | 0 | |a Undergraduate texts in mathematics | |
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Datensatz im Suchindex
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GEORGE R. EXNER INSIDE CALCULUS SPRINGER CONTENTS INTRODUCTION VII
ACKNOWLEDGMENTS XII 1 LIMITS 1 1.1 THE DEFINITION OF LIMIT 2 1.1.1
ABSOLUTE VALUE 2 1.1.2 EXERCISES 4 1.2 FIRST LIMIT 4 1.2.1 THE GRAPHICAL
METHOD 5 1.2.2 EXERCISES 6 1.3 SECOND LIMIT 7 1.3.1 EXERCISES 9 1.4
ANXIETY, AND SOME LIMITS THAT DON'T WORK 11 1.4.1 EXERCISES 14 1.5 MORE
LIMITS THAT DON'T EXIST 15 1.5.1 EXERCISES 17 2 CONTINUITY 19 2.1
CONTINUITY AT A POINT 19 2.2 NAIVE CONTINUITY VS. CONTINUITY 21 2.2.1
EXERCISES 24 2.3 CONTINUITY ON A SET 24 2.3.1 EXERCISES 25 2.3.2
CONTINUOUS FUNCTIONS 27 XVI CONTENTS 8.4 POLYNOMIAL AND RATIONAL
DERIVATIVES 124 8.4.1 EXERCISES 125 8.5 DERIVATIVES OF TRIGONOMETRIC
FUNCTIONS 126 8.5.1 USEFUL TRIGONOMETRIC LIMITS 126 8.5.2 EXERCISES 128
8.6 THE DERIVATIVE FUNCTION 128 8.6.1 EXERCISE 130 8.7 DERIVATIVES OF
RATIONAL POWERS 130 8.7.1 EXERCISES 132 8.8 DERIVATIVES OF EXPONENTIAL
AND LOGARITHMIC FUNCTIONS . . . 132 8.8.1 EXERCISES 134 9 THEOREMS ABOUT
THE DERIVATIVE 135 9.1 THE DERIVATIVE AND EXTREMA . . . .' 135 9.1.1
PRELIMINARIES 135 9.1.2 THE DERIVATIVE AND LOCAL EXTREMA 137 9.1.3
EXERCISES 140 9.2 THE MEAN VALUE THEOREM 141 9.2.1 EXERCISES 142 9.2.2
ROLLE'S THEOREM 142 9.2.3 EXERCISES 143 9.2.4 THE THEOREM ITSELF . . .
144 9.2.5 EXERCISES 145 9.3 CONSEQUENCES OF THE MEAN VALUE THEOREM 146
9.3.1 EXERCISES . 148 10 OTHER LIMITS 151 10.1 LIMITS INVOLVING INFINITY
151 10.1.1 EXERCISES 152 10.2 SEQUENCES 153 10.2.1 THE DEFINITION OF
SEQUENCE 153 10.2.2 SEQUENCE LIMITS 154 10.2.3 EXERCISES 156 10.3
FUNCTIONS OF SEVERAL VARIABLES 157 10.3.1 EXERCISES 159 10.3.2 LIMITS
FOR FUNCTIONS FROM R TO R 2 163 10.3.3 EXERCISES 164 10.3.4 LIMITS FOR
FUNCTIONS FROM R 2 TO R 165 10.3.5 EXERCISES 167 10.4 THE INTEGRAL 168
10.4.1 DIFFICULTIES WITH THE INTEGRAL DEFINITION . . . . . . . . 169
10.4.2 EXERCISES 171 10.4.3 PREPARATION: L.U.B. AND G.L.B 172 10.4.4
EXERCISES 173 10.4.5 UPPER AND LOWER SUMS 173 CONTENTS XVII 10.4.6
EXERCISES 179 A HINTS FOR SELECTED EXERCISES 181 REFERENCES 205 INDEX
207 |
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| illustrated | Illustrated |
| indexdate | 2024-12-11T17:00:56Z |
| institution | BVB |
| isbn | 0387989323 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008908271 |
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| physical | XVII, 211 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
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| series2 | Undergraduate texts in mathematics |
| spelling | Exner, George R. Verfasser aut Inside calculus George R. Exner New York [u.a.] Springer 2000 XVII, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Analysis - Reelle Funktion Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 s DE-604 Differentialrechnung (DE-588)4012252-9 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008908271&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Exner, George R. Inside calculus Analysis - Reelle Funktion Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Differentialrechnung (DE-588)4012252-9 gnd |
| subject_GND | (DE-588)4072798-1 (DE-588)4012252-9 |
| title | Inside calculus |
| title_auth | Inside calculus |
| title_exact_search | Inside calculus |
| title_full | Inside calculus George R. Exner |
| title_fullStr | Inside calculus George R. Exner |
| title_full_unstemmed | Inside calculus George R. Exner |
| title_short | Inside calculus |
| title_sort | inside calculus |
| topic | Analysis - Reelle Funktion Calculus Infinitesimalrechnung (DE-588)4072798-1 gnd Differentialrechnung (DE-588)4012252-9 gnd |
| topic_facet | Analysis - Reelle Funktion Calculus Infinitesimalrechnung Differentialrechnung |
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