Everyday math demystified Book

	Preface	xv
Part 1	Expressing Quantities	1
Chapter 1	Numbers and Arithmetic	3
	Sets	6
	Numbering Systems	8
	Integers	10
	Rational, Irrational, and Real Numbers	14
	Number Operations	19
	More Principles Worth Memorizing	23
	Still More Principles	26
	Quiz	30
Chapter 2	How Variables Relate	33
	This versus That	33
	Simple Graphs	38
	Tweaks, Trends, and Correlation	43
	Quiz	49
Chapter 3	Extreme Numbers	52
	Subscripts and Superscripts	52
	Power-of-10 Notation	54
	In Action	60
	Approximation and Precedence	65
	Significant Figures	68
	Quiz	71
Chapter 4	How Things Are Measured	74
	Systems of Units	75
	Base Units in SI	76
	Other Units in SI	83
	Conversions	87
	Quiz	91
	Test: Part 1	93
Part 2	Finding Unknowns	103
Chapter 5	Basic Algebra	105
	Single-Variable Linear Equations	105
	Two-by-Two Linear Equations	110
	Quiz	116
Chapter 6	More Algebra	119
	Quadratic Equations	119
	Beyond Reality	129
	One-Variable, Higher-Order Equations	133
	Quiz	140
Chapter 7	A Statistics Sampler	143
	Experiments and Variables	143
	Populations and Samples	146
	Distributions	149
	More Definitions	154
	Quiz	163
Chapter 8	Taking Chances	165
	The Probability Fallacy	165
	Definitions	167
	Properties of Outcomes	172
	Permutations and Combinations	181
	Quiz	184
	Test: Part 2	187
Part 3	Shapes and Places	197
Chapter 9	Geometry on the Flats	199
	Fundamental Rules	199
	Triangles	208
	Quadrilaterals	214
	Circles and Ellipses	223
	Quiz	226
Chapter 10	Geometry in Space	229
	Points, Lines, and Planes	229
	Straight-Edged Objects	235
	Cones, Cylinders, and Spheres	240
	Quiz	247
Chapter 11	Graphing It	250
	The Cartesian Plane	250
	Straight Lines in the Cartesian Plane	254
	The Polar Coordinate Plane	260
	Some Examples	263
	Quiz	271
Chapter 12	A Taste of Trigonometry	274
	More about Circles	274
	Primary Circular Functions	277
	Secondary Circular Functions	283
	The Right Triangle Model	287
	Pythagorean Extras	290
	Quiz	292
	Test: Part 3	295
Part 4	Math in Science	307
Chapter 13	Vectors and 3D	309
	Vectors in the Cartesian Plane	309
	Rectangular 3D Coordinates	313
	Vectors in Cartesian Three-Space	316
	Flat Planes in Space	323
	Straight Lines in Space	326
	Quiz	330
Chapter 14	Growth and Decay	332
	Growth by Addition	332
	Growth by Multiplication	338
	Exponential Functions	345
	Rules for Exponentials	347
	Logarithms	350
	Rules for Logarithms	352
	Graphs Based on Logarithms	355
	Quiz	359
Chapter 15	How Things Move	362
	Mass and Force	362
	Displacement	367
	Speed and Velocity	368
	Acceleration	373
	Momentum	378
	Quiz	381
	Test: Part 4	384
	Final Exam	396
	Answers to Quiz, Test, and Exam Questions	424
	Suggested Additional References	428
	Index	431