Elementary analysis through examples and exercises:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
1995
|
| Series: | Kluwer Texts in the Mathematical Sciences
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 319 Seiten graph. Darst. |
| ISBN: | 079233597X |
Staff View
MARC
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Record in the Search Index
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| adam_text | ELEMENTARY ANALYSIS THROUGH EXAMPLES AND EXERCISES BY JOHN SCHMEELK
DEPARTMENT OF MATHEMATICAL SCIENCES, VIRGINIA COMMONWEALTH UNIVERSITY,
RICHMOND, VIRGINIA, U.SA. DJURDJICA TAKADI AND ARPAD TAKA& INSTITUTE OF
MATHEMATICS, UNIVERSITY OFNOVI SAD, NOVI SAD, YUGOSLAVIA KLUWER ACADEMIC
PUBLISHERS DORDRECHT / BOSTON / LONDON TABLE OF CONTENTS PREFACE VII 1
REAL NUMBERS 1 1.1 (R, +,-, ) AS A COMPLETE TOTALLY ORDERED FIELD 1
1.1.1 BASIC NOTIONS 1 1.1.2 EXAMPLES AND EXERCISES 5 1.2 CUTS IN Q 29
1.2.1 BASIC NOTIONS 29 1.2.2 EXAMPLES AND EXERCISES 31 1.3 THE SET R AS
A TOPOLOGICAL SPACE 37 1.3.1 BASIC NOTIONS 37 1.3.2 EXAMPLES AND
EXERCISES 39 2 FUNCTIONS 45 2.1 REAL FUNCTIONS OF ONE REAL VARIABLE 45
2.1.1 BASIC NOTIONS 45 2.1.2 EXAMPLES AND EXERCISES 49 2.2 POLYNOMIALS,
RATIONAL AND IRRATIONAL FUNCTIONS 72 2.2.1 BASIC NOTIONS 72 2.2.2
EXAMPLES AND EXERCISES 75 3 SEQUENCES 83 3.1 INTRODUCTION 83 3.1.1 BASIC
NOTIONS 83 3.1.2 EXAMPLES AND EXERCISES 85 3.2 MONOTONE SEQUENCES 102
3.2.1 BASIC NOTIONS 102 3.2.2 EXAMPLES AND EXERCISES 102 3.3
ACCUMULATION POINTS AND SUBSEQUENCES 116 3.3.1 BASIC NOTIONS 116 3.3.2
EXAMPLES AND EXERCISES * 117 3.4 ASYMPTOTIC RELATIONS 135 3.4.1 BASIC
NOTIONS 135 3.4.2 EXAMPLES AND EXERCISES 136 VI 4 LIMITS OF FUNCTIONS
141 4.1 LIMITS 141 4.1.1 BASIC NOTIONS 141 4.1.2 EXAMPLES AND EXERCISES
143 4.2 ASYMPTOTES FOR THE GRAPHS OF FUNCTIONS 170 4.2.1 BASIC NOTIONS
170 4.2.2 EXAMPLES AND EXERCISES 171 4.3 ASYMPTOTIC RELATIONS 174 4.3.1
BASIC NOTIONS 174 4.3.2 EXAMPLES AND EXERCISES 174 5 CONTINUITY 181 5.1
CONTINUITY AT A POINT 181 5.1.1 BASIC NOTIONS 181 5.1.2 EXAMPLES AND
EXERCISES 183 5.2 UNIFORM CONTINUITY 204 5.2.1 BASIC NOTIONS 204 5.2.2
EXAMPLES AND EXERCISES 205 6 DERIVATIVES 213 6.1 INTRODUCTION 213 6.1.1
BASIC NOTIONS 213 6.1.2 EXAMPLES AND EXERCISES 217 6.2 MEAN VALUE
THEOREMS 244 6.2.1 BASIC NOTIONS 244 6.2.2 EXAMPLES AND EXERCISES 245
6.3 TAYLOR S FORMULA 252 6.3.1 BASIC NOTIONS 252 6.3.2 EXAMPLES AND
EXERCISES . 253 6.4 L HOSPITAL S RULE ; . 262 6.4.1 BASIC NOTIONS 262
6.4.2 EXAMPLES AND EXERCISES 263 6.5 LOCAL EXTREMA AND MONOTONICITY OF
FUNCTIONS 270 6.5.1 BASIC NOTIONS 270 6.5.2 EXAMPLES AND EXERCISES 271
6.6 CONCAVITY 279 6.6.1 BASIC NOTIONS 279 6.6.2 EXAMPLES AND EXERCISES
280 7 GRAPHS OF FUNCTIONS 285 BIBLIOGRAPHY 313 INDEX 315
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| indexdate | 2024-07-09T17:52:53Z |
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| isbn | 079233597X |
| language | English |
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| physical | IX, 319 Seiten graph. Darst. |
| publishDate | 1995 |
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| spelling | Schmeelk, John Verfasser aut Elementary analysis through examples and exercises by John Schmeelk, Djurdjica Takači and Arpad Takači Dordrecht [u.a.] Kluwer Acad. Publ. 1995 IX, 319 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kluwer Texts in the Mathematical Sciences 10 Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf Analysis (DE-588)4001865-9 s DE-604 Takači, Djurdjica Verfasser aut Takači, Arpad Verfasser aut Kluwer Texts in the Mathematical Sciences 10 (DE-604)BV005450041 10 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006969759&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmeelk, John Takači, Djurdjica Takači, Arpad Elementary analysis through examples and exercises Kluwer Texts in the Mathematical Sciences Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4001865-9 |
| title | Elementary analysis through examples and exercises |
| title_auth | Elementary analysis through examples and exercises |
| title_exact_search | Elementary analysis through examples and exercises |
| title_full | Elementary analysis through examples and exercises by John Schmeelk, Djurdjica Takači and Arpad Takači |
| title_fullStr | Elementary analysis through examples and exercises by John Schmeelk, Djurdjica Takači and Arpad Takači |
| title_full_unstemmed | Elementary analysis through examples and exercises by John Schmeelk, Djurdjica Takači and Arpad Takači |
| title_short | Elementary analysis through examples and exercises |
| title_sort | elementary analysis through examples and exercises |
| topic | Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| topic_facet | Mathematical analysis Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006969759&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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