Algebra and Trigonometry / Edition 1

by Sheldon Axler

Overview

Axler Algebra & Trigonometry is written for the two semester course. The text provides students with the skill and understanding needed for their coursework and for participating as an educated citizen in a complex society. Axler Algebra & Trigonometry focuses on depth, not breadth of topics by exploring necessary topics in greater detail. Readers 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 Algebra & Trigonometry is available with WileyPLUS; an innovative, research-based, online environment for effective teaching and learning.

WileyPLUS sold separately from text.

Product Details

ISBN-13:	9780470585795
Publisher:	Wiley
Publication date:	03/08/2011
Edition description:	New Edition
Pages:	784
Product dimensions:	8.30(w) x 10.10(h) x 1.30(d)

About the Author

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.

Table of Contents

About the Author v

Preface to the Instructor xvi

WileyPLUS xxii

Acknowledgments xxiii

Preface to the Student xxvi

1 The Real Numbers 1

1.1 The Real Line 2

1.2 Algebra of the Real Numbers 7

1.3 Inequalities, Intervals, and Absolute Value 24

2 Combining Algebra and Geometry 41

2.1 The Coordinate Plane 42

2.2 Lines 57

2.3 Quadratic Expressions and Conic Sections 75

2.4 Area 98

3 Functions and Their Graphs 117

3.1 Functions 118

3.2 Function Transformations and Graphs 142

3.3 Composition of Functions 165

3.4 Inverse Functions 180

3.5 A Graphical Approach to Inverse Functions 197

4 Polynomial and Rational Functions 213

4.1 Integer Exponents 214

4.2 Polynomials 227

4.3 Rational Functions 245

4.4 Complex Numbers 262

5 Exponents and Logarithms 279

5.1 Exponents and Exponential Functions 280

5.2 Logarithms as Inverses of Exponential Functions 293

5.3 Applications of Logarithms 310

5.4 Exponential Growth 328

6 e and the Natural Logarithm 349

6.1 Defining e and ln 350

6.2 Approximations and area with e and ln 366

6.3 Exponential Growth Revisited 376

7 Systems of Equations 387

7.1 Equations and Systems of Equations 388

7.2 Solving Systems of Linear Equations 399

7.3 Solving Systems of Linear Equations Using Matrices 411

7.4 Matrix Algebra 424

8 Sequences, Series, and Limits 447

8.1 Sequences 448

8.2 Series 463

8.3 Limits 483

9 Trigonometric Functions 497

9.1 The Unit Circle 498

9.2 Radians 514

9.3 Cosine and Sine 529

9.4 More Trigonometric Functions 542

9.5 Trigonometry in Right Triangles 555

9.6 Trigonometric Identities 566

10 Trigonometric Algebra and Geometry 583

10.1 Inverse Trigonometric Functions 584

10.2 Inverse Trigonometric Identities 599

10.3 Using Trigonometry to Compute Area 613

10.4 The Law of Sines and the Law of Cosines 628

10.5 Double-Angle and Half-Angle Formulas 644

10.6 Addition and Subtraction Formulas 658

11 Applications of Trigonometry 671

11.1 Parametric Curves 672

11.2 Transformations of Trigonometric Functions 687

11.3 Polar Coordinates 705

11.4 Vectors 718

11.5 The Complex Plane 732

Photo Credits 743

Index 745