James Stewart, the author of the best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this book to address a problem they frequently saw in their calculus courses. Many students were not prepared to "think mathematically" but attempted to memorize facts and mimic examples. This trigonometry text has been designed specifically to help students learn to think mathematically and to develop true problem-solving skills. Patient, clear, and accurate, this text consistently illustrates how useful and applicable trigonometry is to real life.
James Stewart received his M.S. from Stanford University and his Ph.D. from the University of Toronto. He did research at the University of London and was influenced by the famous mathematician George Polya at Stanford University. Stewart is currently Professor of Mathematics at McMaster University, and his research field is harmonic analysis. Stewart is the author of a best-selling calculus textbook series published by Cengage Learning, including CALCULUS, CALCULUS: EARLY TRANSCENDENTALS, and CALCULUS: CONCEPTS AND CONTEXTS, as well as a series of precalculus texts.
Lothar Redlin grew up on Vancouver Island, received a Bachelor of Science degree from the University of Victoria, and a Ph.D. from McMaster University in 1978. He subsequently did research and taught at the University of Washington, the University of Waterloo, and California State University, Long Beach. He is currently Professor of Mathematics at The Pennsylvania State University, Abington Campus. His research field is topology.
Saleem Watson received his Bachelor of Science degree from Andrews University in Michigan. He did graduate studies at Dalhousie University and McMaster University, where he received his Ph.D. in 1978. He subsequently did research at the Mathematics Institute of the University of Warsaw in Poland. He also taught at The Pennsylvania State University. He is currently Professor of Mathematics at California State University, Long Beach. His research field is functional analysis.
1. FUNCTIONS AND GRAPHS. The Coordinate Plane. Lines in the Coordinate Plane. Functions and Their Graphs. Transformations of Functions. One-to-One Functions and Their Inverses. Focus on Modeling: Fitting Lines to Data. 2. TRIGONOMETRIC FUNCTIONS OF REAL NUMBERS. The Unit Circle Trigonometric Functions of Real Numbers Trigonometric Graphs. More Trigonometric Graphs. Harmonic Motion. Focus on Modeling: Sinusoidal Curve Fitting. 3. TRIGONOMETRIC FUNCTIONS OF ANGLES. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. The Law of Sines. The Law of Cosines. Focus on Modeling: Mapping the Earth. 4. ANALYTIC TRIGONOMETRY. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Sum-Product Identities. Inverse Trigonometric Functions. Trigonometric Equations. Vectors. Focus on Modeling. 5. POLAR COORDINATES; COMPLEX NUMBERS. Polar Coordinates. Graphs of Polar Equations Complex Numbers. Polar Form of Complex Numbers. DeMoivre''s Theorem. Focus on Modeling. 6. TOPICS IN ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Shifted Conics Rotation of Axes. Polar Equations of Conics. Parametric Equations. Focus on Modeling: The Path of a Projectile. 7. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. Logarithmic Functions. Laws of Logarithms Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Focus on Modeling: Exponential, Power, and Polynomial Curve Fitting.