Sheldon Axler
College Algebra
Sheldon Axler
College Algebra
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Axler's College Algebra focuses on depth, not breadth of topics by exploring necessary topics in greater detail. Students will benefit from the straightforward definitions and plentiful examples of complex concepts. The Student Solutions Manual is integrated at the end of every section. The proximity of the solutions encourages students to go back and read the main text as they are working through the problems and exercises. The inclusion of the manual also saves students money. Axler's College Algebra is available with WileyPLUS; an innovative, research-based, online environment for effective teaching and learning. WileyPLUS sold separately from text.…mehr
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Axler's College Algebra focuses on depth, not breadth of topics by exploring necessary topics in greater detail. Students will benefit from the straightforward definitions and plentiful examples of complex concepts. The Student Solutions Manual is integrated at the end of every section. The proximity of the solutions encourages students to go back and read the main text as they are working through the problems and exercises. The inclusion of the manual also saves students money. Axler's College Algebra is available with WileyPLUS; an innovative, research-based, online environment for effective teaching and learning. WileyPLUS sold separately from text.
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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: Wiley
- Seitenzahl: 528
- Erscheinungstermin: 22. Mai 2017
- Englisch
- Abmessung: 249mm x 201mm x 23mm
- Gewicht: 816g
- ISBN-13: 9780470470787
- ISBN-10: 047047078X
- Artikelnr.: 31199897
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- 06621 890
- Verlag: Wiley
- Seitenzahl: 528
- Erscheinungstermin: 22. Mai 2017
- Englisch
- Abmessung: 249mm x 201mm x 23mm
- Gewicht: 816g
- ISBN-13: 9780470470787
- ISBN-10: 047047078X
- Artikelnr.: 31199897
- Herstellerkennzeichnung
- Libri GmbH
- Europaallee 1
- 36244 Bad Hersfeld
- 06621 890
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.
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.
Horizontal Transformations: Shifting, Stretching, Flipping.
Combinations of Vertical Function Transformations.
Even Functions.
Odd Functions.
Exercises, Problems, and Worked-out Solutions.
3.3 Composition of Functions.
Combining Two Functions.
Definition of Composition.
Order Matters in Composition.
Decomposing Functions.
Composing More than Two Functions.
Function Transformations as Compositions.
Exercises, Problems, and Worked-out Solutions.
3.4 Inverse Functions.
The Inverse Problem.
One-to-one Functions.
The Definition of an Inverse Function.
The Domain and Range of an Inverse Function.
The Composition of a Function and Its Inverse.
Comments about Notation.
Exercises, Problems, and Worked-out Solutions.
3.5 A Graphical Approach to Inverse Functions.
The Graph of an Inverse Function.
Graphical Interpretation of One-to-One.
Increasing and Decreasing Functions.
Inverse Functions via Tables.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary and Chapter Review Questions.
4 Polynomial and Rational Functions.
4.1 Integer Exponents.
Positive Integer Exponents.
Properties of Exponents.
Defining x0.
Negative Integer Exponents.
Manipulations with Exponents.
Exercises, Problems, and Worked-out Solutions.
4.2 Polynomials.
The Degree of a Polynomial.
The Algebra of Polynomials.
Zeros and Factorization of Polynomials.
The Behavior of a Polynomial Near 1.
Graphs of Polynomials.
Exercises, Problems, and Worked-out Solutions.
4.3 Rational Functions.
Ratios of Polynomials.
The Algebra of Rational Functions.
Division of Polynomials.
The Behavior of a Rational Function Near 1.
Graphs of Rational Functions.
Exercises, Problems, and Worked-out Solutions.
4.4 Complex Numbers.
The Complex Number System.
Arithmetic with Complex Numbers.
Complex Conjugates and Division of Complex Numbers.
Zeros and Factorization of Polynomials, Revisited.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary a
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.
Horizontal Transformations: Shifting, Stretching, Flipping.
Combinations of Vertical Function Transformations.
Even Functions.
Odd Functions.
Exercises, Problems, and Worked-out Solutions.
3.3 Composition of Functions.
Combining Two Functions.
Definition of Composition.
Order Matters in Composition.
Decomposing Functions.
Composing More than Two Functions.
Function Transformations as Compositions.
Exercises, Problems, and Worked-out Solutions.
3.4 Inverse Functions.
The Inverse Problem.
One-to-one Functions.
The Definition of an Inverse Function.
The Domain and Range of an Inverse Function.
The Composition of a Function and Its Inverse.
Comments about Notation.
Exercises, Problems, and Worked-out Solutions.
3.5 A Graphical Approach to Inverse Functions.
The Graph of an Inverse Function.
Graphical Interpretation of One-to-One.
Increasing and Decreasing Functions.
Inverse Functions via Tables.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary and Chapter Review Questions.
4 Polynomial and Rational Functions.
4.1 Integer Exponents.
Positive Integer Exponents.
Properties of Exponents.
Defining x0.
Negative Integer Exponents.
Manipulations with Exponents.
Exercises, Problems, and Worked-out Solutions.
4.2 Polynomials.
The Degree of a Polynomial.
The Algebra of Polynomials.
Zeros and Factorization of Polynomials.
The Behavior of a Polynomial Near 1.
Graphs of Polynomials.
Exercises, Problems, and Worked-out Solutions.
4.3 Rational Functions.
Ratios of Polynomials.
The Algebra of Rational Functions.
Division of Polynomials.
The Behavior of a Rational Function Near 1.
Graphs of Rational Functions.
Exercises, Problems, and Worked-out Solutions.
4.4 Complex Numbers.
The Complex Number System.
Arithmetic with Complex Numbers.
Complex Conjugates and Division of Complex Numbers.
Zeros and Factorization of Polynomials, Revisited.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary a
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.
Horizontal Transformations: Shifting, Stretching, Flipping.
Combinations of Vertical Function Transformations.
Even Functions.
Odd Functions.
Exercises, Problems, and Worked-out Solutions.
3.3 Composition of Functions.
Combining Two Functions.
Definition of Composition.
Order Matters in Composition.
Decomposing Functions.
Composing More than Two Functions.
Function Transformations as Compositions.
Exercises, Problems, and Worked-out Solutions.
3.4 Inverse Functions.
The Inverse Problem.
One-to-one Functions.
The Definition of an Inverse Function.
The Domain and Range of an Inverse Function.
The Composition of a Function and Its Inverse.
Comments about Notation.
Exercises, Problems, and Worked-out Solutions.
3.5 A Graphical Approach to Inverse Functions.
The Graph of an Inverse Function.
Graphical Interpretation of One-to-One.
Increasing and Decreasing Functions.
Inverse Functions via Tables.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary and Chapter Review Questions.
4 Polynomial and Rational Functions.
4.1 Integer Exponents.
Positive Integer Exponents.
Properties of Exponents.
Defining x0.
Negative Integer Exponents.
Manipulations with Exponents.
Exercises, Problems, and Worked-out Solutions.
4.2 Polynomials.
The Degree of a Polynomial.
The Algebra of Polynomials.
Zeros and Factorization of Polynomials.
The Behavior of a Polynomial Near 1.
Graphs of Polynomials.
Exercises, Problems, and Worked-out Solutions.
4.3 Rational Functions.
Ratios of Polynomials.
The Algebra of Rational Functions.
Division of Polynomials.
The Behavior of a Rational Function Near 1.
Graphs of Rational Functions.
Exercises, Problems, and Worked-out Solutions.
4.4 Complex Numbers.
The Complex Number System.
Arithmetic with Complex Numbers.
Complex Conjugates and Division of Complex Numbers.
Zeros and Factorization of Polynomials, Revisited.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary a
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.
Horizontal Transformations: Shifting, Stretching, Flipping.
Combinations of Vertical Function Transformations.
Even Functions.
Odd Functions.
Exercises, Problems, and Worked-out Solutions.
3.3 Composition of Functions.
Combining Two Functions.
Definition of Composition.
Order Matters in Composition.
Decomposing Functions.
Composing More than Two Functions.
Function Transformations as Compositions.
Exercises, Problems, and Worked-out Solutions.
3.4 Inverse Functions.
The Inverse Problem.
One-to-one Functions.
The Definition of an Inverse Function.
The Domain and Range of an Inverse Function.
The Composition of a Function and Its Inverse.
Comments about Notation.
Exercises, Problems, and Worked-out Solutions.
3.5 A Graphical Approach to Inverse Functions.
The Graph of an Inverse Function.
Graphical Interpretation of One-to-One.
Increasing and Decreasing Functions.
Inverse Functions via Tables.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary and Chapter Review Questions.
4 Polynomial and Rational Functions.
4.1 Integer Exponents.
Positive Integer Exponents.
Properties of Exponents.
Defining x0.
Negative Integer Exponents.
Manipulations with Exponents.
Exercises, Problems, and Worked-out Solutions.
4.2 Polynomials.
The Degree of a Polynomial.
The Algebra of Polynomials.
Zeros and Factorization of Polynomials.
The Behavior of a Polynomial Near 1.
Graphs of Polynomials.
Exercises, Problems, and Worked-out Solutions.
4.3 Rational Functions.
Ratios of Polynomials.
The Algebra of Rational Functions.
Division of Polynomials.
The Behavior of a Rational Function Near 1.
Graphs of Rational Functions.
Exercises, Problems, and Worked-out Solutions.
4.4 Complex Numbers.
The Complex Number System.
Arithmetic with Complex Numbers.
Complex Conjugates and Division of Complex Numbers.
Zeros and Factorization of Polynomials, Revisited.
Exercises, Problems, and Worked-out Solutions.
Chapter Summary a