Calculus demystified:
Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
McGraw-Hill
2003
|
| Schriftenreihe: | McGraw-Hill demystified series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XII, 343 S. graph. Darst. |
| ISBN: | 0071393080 |
Internformat
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| 245 | 1 | 0 | |a Calculus demystified |c Stephen G. Krantz |
| 264 | 1 | |a New York [u.a.] |b McGraw-Hill |c 2003 | |
| 300 | |a XII, 343 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a McGraw-Hill demystified series | |
| 500 | |a Includes bibliographical references and index | ||
| 520 | 3 | |a Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus | |
| 650 | 4 | |a Calcul infinitésimal | |
| 650 | 4 | |a Calculus | |
| 650 | 0 | 7 | |a Analysis |0 (DE-588)4001865-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Infinitesimalrechnung |0 (DE-588)4072798-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804129325336756224 |
|---|---|
| adam_text | CALCULUS DEMYSTIFIED STEVEN G. KRANTZ MCGRAW-HILL NEW YORK CHICAGO SAN
FRANCISCO LISBON LONDON MADRID MEXICO CITY MILAN NEW DELHI SAN JUAN
SEOUL SINGAPORE SYDNEY TORONTO CONTENTS PREFACE XI CHAPTER 1 CHAPTER 2
BASICS 1.0 INTRODUCTORY REMARKS 1.1 NUMBER SYSTEMS 1.2 COORDINATES IN
ONE DIMENSION 1.3 COORDINATES IN TWO DIMENSIONS 1.4 THE SLOPE OF A LINE
IN THE PLANE 1.5 THE EQUATION OF A LINE 1.6 LOCI IN THE PLANE 1.7
TRIGONOMETRY 1.8 SETS AND FUNCTIONS 1.8.1 EXAMPLES OF FUNCTIONS OF A
REAL VARIABLE 1.8.2 GRAPHS OF FUNCTIONS 1.8.3 PLOTTING THE GRAPH OF A
FUNCTION 1.8.4 COMPOSITION OF FUNCTIONS 1.8.5 THE INVERSE OF A FUNCTION
1.9 A FEW WORDS ABOUT LOGARITHMS AND EXPONENTIALS FOUNDATIONS OF
CALCULUS 2.1 LIMITS 2.1.1 ONE-SIDED LIMITS 2.2 PROPERTIES OF LIMITS 2.3
CONTINUITY 2.4 THE DERIVATIVE 2.5 RULES FOR CALCULATING DERIVATIVES
2.5.1 THE DERIVATIVE OF AN INVERSE 2.6 THE DERIVATIVE AS A RATE OF
CHANGE 1 1 1 3 5 8 13 15 19 30 31 33 35 40 42 49 57 57 60 61 64 66 71 76
76 CONTENTS CHAPTER 3 APPLICATIONS OF THE DERIVATIVE 3.1 GRAPHING OF
FUNCTIONS 3.2 MAXIMUM/MINIMUM PROBLEMS 3.3 RELATED RATES 3.4 FALLING
BODIES 81 81 86 91 94 CHAPTER 4 THE 4.0 4.1 4.2 4.3 4.4 4.5 INTEGRAL
INTRODUCTION ANTIDERIVATIVES AND INDEFINITE INTEGRALS 4.1.1 THE CONCEPT
OF ANTIDERIVATI VE 4.1.2 THE INDEFINITE INTEGRAL AREA SIGNED AREA THE
AREA BETWEEN TWO CURVES RULES OF INTEGRATION 4.5.1 LINEAR PROPERTIES
4.5.2 ADDITIVITY 99 99 99 99 100 103 111 116 120 120 120 CHAPTER 5
INDETERMINATE FORMS 123 5.1 L HOPITAL S RULE 123 5.1.1 INTRODUCTION 123
5.1.2 L HOPITAL S RULE 124 5.2 OTHER INDETERMINATE FORMS 128 5.2.1
INTRODUCTION 128 5.2.2 WRITING A PRODUCT AS A QUOTIENT 128 5.2.3 THE USE
OF THE LOGARITHM 128 5.2.4 PUTTING TERMS OVER A COMMON DENOMINATOR 130
5.2.5 OTHER ALGEBRAIC MANIPULATIONS 131 5.3 IMPROPER INTEGRALS: A FIRST
LOOK 132 5.3.1 INTRODUCTION 132 5.3.2 INTEGRALS WITH INFINITE INTEGRANDS
133 5.3.3 AN APPLICATION TO AREA 139 5.4 MORE ON IMPROPER INTEGRALS 140
5.4.1 INTRODUCTION 140 5.4.2 THE INTEGRAL ON AN INFINITE INTERVAL 141
5.4.3 SOME APPLICATIONS 143 CONTENTS CHAPTER 6 TRANSCENDENTAL FUNCTIONS
147 6.0 INTRODUCTORY REMARKS 147 6.1 LOGARITHM BASICS 147 6.1.1 A NEW
APPROACH TO LOGARITHMS 148 6.1.2 THE LOGARITHM FUNCTION AND THE
DERIVATIVE 150 6.2 EXPONENTIAL BASICS 154 6.2.1 FACT S ABOUT THE
EXPONENTIAL FUNCTION 155 6.2.2 CALCULUS PROPERTIES OF THE EXPONENTIAL
156 6.2.3 THE NUMBER E 158 6.3 EXPONENTIALS WITH ARBITRARY BASES 160
6.3.1 ARBITRARY POWERS 160 6.3.2 LOGARITHMS WITH ARBITRARY BASES 163 6.4
CALCULUS WITH LOGS AND EXPONENTIALS TO ARBITRARY BASES 166 6.4.1
DIFFERENTIATION AND INTEGRATION OF LOG A X AND A X 166 6.4.2 GRAPHING OF
LOGARITHMIC AND EXPONENTIAL FUNCTIONS 168 6.4.3 LOGARITHMIC
DIFFERENTIATION 170 6.5 EXPONENTIAL GROWTH AND DECAY 172 6.5.1 A
DIFFERENTIAL EQUATION 173 6.5.2 BACTERIAL GROWTH 174 6.5.3 RADIOACTIVE
DECAY 176 6.5.4 COMPOUND INTEREST 178 6.6 INVERSE TRIGONOMETRIC
FUNCTIONS 180 6.6.1 INTRODUCTORY REMARKS 180 6.6.2 INVERSE SINE AND
COSINE 180 6.6.3 THE INVERSE TANGENT FUNCTION 185 6.6.4 INTEGRAL S IN
WHICH INVERSE TRIGONOMETRIC FUNCTIONS ARISE 187 6.6.5 OTHER INVERSE
TRIGONOMETRIC FUNCTIONS 189 6.6.6 AN EXAMPLE INVOLVING INVERSE
TRIGONOMETRIC FUNCTIONS 193 CHAPTER 7 METHODS OF INTEGRATION 197 7.1
INTEGRATION BY PARTS 197 7.2 PARTIAL FRACTIONS 202 7.2.1 INTRODUCTORY
REMARKS 202 7.2.2 PRODUCTS OF LINEAR FACTORS 203 7.2.3 QUADRATIC FACTORS
206 CONTENTS 7.3 SUBSTITUTION 7.4 INTEGRALS OF TRIGONOMETRIC EXPRESSIONS
207 210 CHAPTER 8 APPLICATIONS OF THE INTEGRAL 8.1 VOLUMES BY SLICING
8.1.0 INTRODUCTION 8.1.1 THE BASIC STRATEGY 8.1.2 EXAMPLES 8.2 VOLUMES
OF SOLIDS OF REVOLUTION 8.2.0 INTRODUCTION 8.2.1 THE METHOD OF WASHERS
8.2.2 THE METHOD OF CYLINDRICAL SHELLS 8.2.3 DIFFERENT AXES 8.3 WORK 8.4
AVERAGES 8.5 ARC LENGTH AND SURFACE AREA 8.5.1 AR C LENGTH 8.5.2 SURFACE
AREA 8.6 HYDROSTATIC PRESSURE 8.7 NUMERICAL METHODS OF INTEGRATION 8.7.1
THE TRAPEZOID RULE 8.7.2 SIMPSON S RULE 217 217 217 217 219 . 224 224
225 228 231 233 237 240 240 243 247 252 253 256 BIBLIOGRAPHY 263
SOLUTIONS TO EXERCISES FINAL EXAM INDEX 265 313 339
|
| any_adam_object | 1 |
| author | Krantz, Steven G. 1951- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014541963 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:03:20Z |
| institution | BVB |
| isbn | 0071393080 |
| language | English |
| lccn | 2002026326 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009891281 |
| oclc_num | 50041610 |
| open_access_boolean | |
| owner | DE-703 DE-573 |
| owner_facet | DE-703 DE-573 |
| physical | XII, 343 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | McGraw-Hill |
| record_format | marc |
| series2 | McGraw-Hill demystified series |
| spelling | Krantz, Steven G. 1951- Verfasser (DE-588)130535907 aut Calculus demystified Stephen G. Krantz New York [u.a.] McGraw-Hill 2003 XII, 343 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier McGraw-Hill demystified series Includes bibliographical references and index Explains how to understand calculus in a more intuitive fashion. Uses practical examples and real data. Covers both differential and integral calculus Calcul infinitésimal Calculus Analysis (DE-588)4001865-9 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 gnd rswk-swf Infinitesimalrechnung (DE-588)4072798-1 s DE-604 Analysis (DE-588)4001865-9 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009891281&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krantz, Steven G. 1951- Calculus demystified Calcul infinitésimal Calculus Analysis (DE-588)4001865-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4072798-1 |
| title | Calculus demystified |
| title_auth | Calculus demystified |
| title_exact_search | Calculus demystified |
| title_full | Calculus demystified Stephen G. Krantz |
| title_fullStr | Calculus demystified Stephen G. Krantz |
| title_full_unstemmed | Calculus demystified Stephen G. Krantz |
| title_short | Calculus demystified |
| title_sort | calculus demystified |
| topic | Calcul infinitésimal Calculus Analysis (DE-588)4001865-9 gnd Infinitesimalrechnung (DE-588)4072798-1 gnd |
| topic_facet | Calcul infinitésimal Calculus Analysis Infinitesimalrechnung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009891281&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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