College Algebra, First Edition 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 students.
College Algebra, First Edition 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 students.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
