9780470416747

For anyone who needs to learn calculus, the best place to start is by gaining a solid foundation in precalculus concepts. This new book provides that foundation. It includes only the topics that they'll need to succeed in calculus. Axler explores the necessary topics in greater detail. Readers will benefit from the straightforward definitions and examples of complex concepts. Step-by-step solutions for odd-numbered exercises are also included so they can model their own applications of what they've learned. In addition, chapter openers and end-of-chapter summaries highlight the material to be learned. Any reader who needs to learn precalculus will benefit from this book.

About the Author	p. v
Preface to the Instructor	p. xv
Acknowledgments	p. xx
Preface to the Student	p. xxii
The Real Numbers	p. 1
The Real Line	p. 2
Construction of the Real Line	p. 2
Is Every Real Number Rational?	p. 3
Problems	p. 6
Algebra of the Real Numbers	p. 7
Commutativity and Associativity	p. 7
The Order of Algebraic Operations	p. 8
The Distributive Property	p. 10
Additive Inverses and Subtraction	p. 11
Multiplicative Inverses and Division	p. 12
Exercises, Problems, and Worked-out Solutions	p. 14
Inequalities	p. 18
Positive and Negative Numbers	p. 18
Lesser and Greater	p. 19
Intervals	p. 21
Absolute Value	p. 24
Exercises, Problems, and Worked-out Solutions	p. 26
Chapter Summary and Chapter Review Questions	p. 321
Functions and Their Graphs	p. 33
Functions	p. 34
Examples of Functions	p. 34
Equality of Functions	p. 35
The Domain of a Function	p. 37
Functions via Tables	p. 38
The Range of a Function	p. 38
Exercises, Problems, and Worked-out Solutions	p. 40
The Coordinate Plane and Graphs	p. 47
The Coordinate Plane	p. 47
The Graph of a Function	p. 49
Determining a Function from Its Graph	p. 50
Which Sets Are Graphs?	p. 52
Determining the Range of a Function from Its Graph	p. 53
Exercises, Problems, and Worked-out Solutions	p. 54
Function Transformations and Graphs	p. 62
Shifting a Graph Up or Down	p. 62
Shifting a Graph Right or Left	p. 63
Stretching a Graph Vertically or Horizontally	p. 65
Reflecting a Graph Vertically or Horizontally	p. 67
Even and Odd Functions	p. 68
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Precalculus: A Prelude to Calculus

Precalculus: A Prelude to Calculus

0470416742

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