Introduction to the elementary functions:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Belmont, Calif.
Dickenson
1969
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIV,263 S.m.Tab. |
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Record in the Search Index
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| adam_text | CONTENTS
PREFACE xi
LIST OF SYMBOLS xiii
CHAPTER 1 ELEMENTARY SET THEORY 1
Sets 1
Special Topics 3
Set Operations 4
Exercises 1.1 5
CHAPTER 2 FUNCTIONS 8
Introduction 8
Exercises 2.1 11
Graphs 12
Equality and Arithmetic Operations 15
Exercises 2.2 21
Converse, Inverse, One to One 24
Composite 26
Exercises 2.3 28
CHAPTER 3 INEQUALITY, ABSOLUTE VALUE,
MATHEMATICAL INDUCTION 30
Basic Properties of Inequalities 30
Exercises 3.1 32
Solutions of Inequalities 32
Exercises 3.2 39
Absolute Value 39
Distance 42
Exercises 3.3 44
Mathematical Induction 45
Exercises 3.4 48
CHAPTER 4 EXPONENTIAL FUNCTIONS 50
Introduction 50
Exercises 4.1 55
Exponential Functions 56
vii
viii Contents
Exponential Growth or Decay 60
Exercises 4.2 61
CHAPTER 5 LOGARITHMIC FUNCTIONS 63
Logarithmic Functions and Their Graph 63
Exercises 5.1 67
Base Less Than One 67
Exercises 5.2 69
Formulas 70
Exercises 5.3 71
CHAPTER 6 POWER, POLYNOMINAL, AND
RATIONAL FUNCTIONS 72
Power Functions 72
Exercises 6.1 75
Polynomial Functions 76
Constant and Linear Polynomial Functions 78
Exercises 6.2 80
Zeros of Quadratic Polynomial Functions 80
Graphing of Quadratic Polynomial Functions 83
Exercises 6.3 87
Division of Polynomials 88
Exercises 6.4 91
Remainder and Factor Theorems 91
Exercises 6.5 93
Existence of Zeros 93
Exercises 6.6 95
Real Polynomial Functions 95
Exercises 6.7 99
Rational and Irrational Zeros 100
Exercises 6.8 103
Graphing Polynomial Functions 104
Exercises 6.9 108
Rational Functions 109
Exercises 6.10 114
Special Graphs and Inequalities 115
Exercises 6.11 117
I
Contents ix
CHAPTER 7 TRIGONOMETRY 118
Circular Trigonometric Functions 118
Exercises 7.1 122
Real Trigonometric Functions 124
Angular Measure and Arc Length 125
Angular Trigonometric Functions 128
Exercises 7.2 128
Special Values 130
Exercises 7.3 133
Special Formulas 135
Exercises 7.4 140
Identities 140
Exercises 7.5 144
Laws of Sines and Cosines 145
Exercises 7.6 148
Periodicity 149
Exercises 7.7 150
Graphing 150
Exercises 7.8 154
Inverses 154
Exercises 7.9 156
CHAPTER 8 FUNCTIONS OF TWO VARIABLES 159
Introduction 159
Graphs in Three Dimensions 160
Exercises 8.1 164
Graphing by Plane Slices 166
Exercises 8.2 169
Ellipse and Hyperbola 169
Exercises 8.3 175
Standard Quadric Surfaces 176
Exercises 8.4 179
APPENDIX 181
Properties of the Real Number System 181
Exercises A.I 184
Alternate Approach to Exponential Functions 185
Exercises A.2 187
x Contents
ANSWERS TO SELECTED EXERCISES 189
TABLES 239
GLOSSARY 249
INDEX 259
|
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| indexdate | 2024-07-09T16:59:16Z |
| institution | BVB |
| language | English |
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| spelling | Knight, Ronald A. Verfasser aut Introduction to the elementary functions Ronald A. Knight ; William E. Hoff* Belmont, Calif. Dickenson 1969 XIV,263 S.m.Tab. txt rdacontent n rdamedia nc rdacarrier Functions Funktion Mathematik (DE-588)4071510-3 gnd rswk-swf Funktion Mathematik (DE-588)4071510-3 s DE-604 Hoff, William E. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004685135&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Knight, Ronald A. Hoff, William E. Introduction to the elementary functions Functions Funktion Mathematik (DE-588)4071510-3 gnd |
| subject_GND | (DE-588)4071510-3 |
| title | Introduction to the elementary functions |
| title_auth | Introduction to the elementary functions |
| title_exact_search | Introduction to the elementary functions |
| title_full | Introduction to the elementary functions Ronald A. Knight ; William E. Hoff* |
| title_fullStr | Introduction to the elementary functions Ronald A. Knight ; William E. Hoff* |
| title_full_unstemmed | Introduction to the elementary functions Ronald A. Knight ; William E. Hoff* |
| title_short | Introduction to the elementary functions |
| title_sort | introduction to the elementary functions |
| topic | Functions Funktion Mathematik (DE-588)4071510-3 gnd |
| topic_facet | Functions Funktion Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004685135&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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