College Algebra and Trigonometry will appeal to those who want to give important topics more in-depth, higher-level coverage. This text offers streamlined approach accompanied with accessible definitions across all chapters to allow for an easy-to-understand read. College Algebra contains prose that is precise, accurate, and easy to read, with straightforward definitions of even the topics that are typically most difficult for readers.
College Algebra and Trigonometry will appeal to those who want to give important topics more in-depth, higher-level coverage. This text offers streamlined approach accompanied with accessible definitions across all chapters to allow for an easy-to-understand read. College Algebra contains prose that is precise, accurate, and easy to read, with straightforward definitions of even the topics that are typically most difficult for readers.
Sheldon Axler is well-known within the mathematics community. He has an Ivy League education, having received his AB in mathematics from Princeton in 1971, and his PhD in mathematics from UC Berkeley in 1975. Currently, Sheldon is the Dean of the College of Science and Engineering at SFSU. Previously, he held teaching positions at Michigan State, UC Berkeley, Indiana University, and MIT. He has received numerous grants, awards, and fellowships throughout his career. He regularly speaks at conferences and conventions and has done extensive writing in his discipline. Notably, he is the author of a successful textbook for the second course in linear Algebra, published with Springer and has held several editorial positions for mathematics journals and is currently a series editor for Springer. As the author for Wiley's Precalculus: A Prelude to Calculus, Sheldon has shown himself an able and willing promoter of his title, garnering the interest of his colleagues nationwide and proving himself a valuable and responsive resource for our sales force.
Inhaltsangabe
About the Author Preface to the Instructor
Acknowledgments
Preface to the Student
1 The Real Numbers
1.1 The Real Line
Construction of the Real Line
Is Every Real Number Rational?
Problems
1.2 Algebra of the Real Numbers
Commutativity and Associativity
The Order of Algebraic Operations
The Distributive Property
Additive Inverses and Subtraction
Multiplicative Inverses and the Algebra of Fractions
Symbolic Calculators
Exercises, Problems, and Worked-out Solutions
1.3 Inequalities
Positive and Negative Numbers
Lesser and Greater
Intervals
Absolute Value
Exercises, Problems, and Worked-out Solutions
Chapter Summary and Chapter Review Questions
2 Combining Algebra and Geometry
2.1 The Coordinate Plane
Coordinates
Graphs of Equations
Distance Between Two Points
Length, Perimeter, and Circumference
Exercises, Problems, and Worked-out Solutions
2.2 Lines
Slope
The Equation of a Line
Parallel Lines
Perpendicular Lines
Midpoints
Exercises, Problems, and Worked-out Solutions
2.3 Quadratic Expressions and Conic Sections
Completing the Square
The Quadratic Formula
Circles
Ellipses
Parabolas
Hyperbolas
Exercises, Problems, and Worked-out Solutions
2.4 Area
Squares, Rectangles, and Parallelograms
Triangles and Trapezoids
Stretching
Circles and Ellipses
Exercises, Problems, and Worked-out Solutions
Chapter Summary and Chapter Review Questions
3 Functions and Their Graphs
3.1 Functions
Definition and Examples
The Graph of a Function
The Domain of a Function
The Range of a Function
Functions via Tables
Exercises, Problems, and Worked-out Solutions
3.2 Function Transformations and Graphs
Vertical Transformations: Shifting, Stretching, and Flipping
