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Contents
Prefacł xi
Acknowledgments xiii
Chapter 1. Algebra, Functions, Graphs, and Vectors 1
Sets 3
Denumerablł Number Sets 6
Non-denumerablł Number Sets 12
Properties of Operations 21
Miscellaneous Principles 23
Inequalities 32
Simplł Equations 35
Simultaneous Linear Equations 38
The Cartesian Planł 44
The Polar Planł 57
Other Coordinate Systems 64
Vector Algebrà 78
Chapter 2. Geometry, Trigonometry, Logarithms, and Exponential
Functions 99
Principles of Geometry 101
Formulas for Planł Figures 118
Formulas for Solids 130
Circular Functions 139
Circular Identities 149
Hyperbolic Functions 161
Hyperbolic Identities 169
Logarithms 174
Exponential Functions 180
Chapter 3. Applied Mathematics, Calculus, and Differential Equations 187
Scientific Notation 189
Boolean Algebrà 195
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