Verfügbarkeit: Inside calculus

Inside calculus:

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Bibliographische Detailangaben
1. Verfasser:	Exner, George R. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New York [u.a.] Springer 2000
Schriftenreihe:	Undergraduate texts in mathematics
Schlagworte:	Analysis - Reelle Funktion Calculus Infinitesimalrechnung Differentialrechnung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XVII, 211 S. graph. Darst.
ISBN:	0387989323

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Datensatz im Suchindex

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adam_text	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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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
url	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
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