TRIGONOMETRY is designed to help you learn to 'think mathematically.' With this text, you can stop relying on merely memorizing facts and mimicking examples'and instead develop true, lasting problem-solving skills. Clear and easy to read, TRIGONOMETRY illustrates how trigonometry is used and applied to real life, and helps you understand and retain what you learn in class.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 277 mm
Breite: 218 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-1-111-57448-2 (9781111574482)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
James Stewart received the M.S. degree from Stanford University and the Ph.D. from the University of Toronto. After two years as a postdoctoral fellow at the University of London, he became Professor of Mathematics at McMaster University. His research has been in harmonic analysis and functional analysis. Stewart's books include a series of high school textbooks as well as a best-selling series of calculus textbooks published by Cengage Learning. He is also co-author, with Lothar Redlin and Saleem Watson, of a series of college algebra and precalculus textbooks. Translations of his books include those into Spanish, Portuguese, French, Italian, Korean, Chinese, Greek, Indonesian and Japanese. A talented violinist, Stewart was concertmaster of the McMaster Symphony Orchestra for many years and played professionally in the Hamilton Philharmonic Orchestra. He has given more than 20 talks worldwide on mathematics and music. Stewart was named a Fellow of the Fields Institute in 2002 and was awarded an honorary D.Sc. in 2003 by McMaster University. The library of the Fields Institute is named after him. The James Stewart Mathematics Centre was opened in October, 2003, at McMaster University.
1. FUNCTIONS AND GRAPHS. Coordinate Geometry. Lines. What is a Function? Graphs of Functions. Getting Information from the Graph of a Function. Transformations of Functions. Combining Functions. One-to-One Functions and Their Inverses. Focus on Modeling: Fitting Lines to Data. 2. TRIGONOMETRIC FUNCTIONS: UNIT CIRCLE APPROACH. The Unit Circle. Trigonometric Functions of Real Numbers. Trigonometric Graphs. More Trigonometric Graphs. Inverse Trigonometric Functions and Their Graphs. Modeling Harmonic Motion. Focus on Modeling: Fitting Sinusoidal Curves to Data. 3. TRIGONOMETRIC FUNCTIONS: RIGHT TRIANGLE APPROACH. Angle Measure. Trigonometry of Right Triangles. Trigonometric Functions of Angles. Inverse Trigonometric Functions and Triangles. The Law of Sines. The Law of Cosines. Focus on Modeling: Surveying. 4. ANALYTIC TRIGONOMETRY. Trigonometric Identities. Addition and Subtraction Formulas. Double-Angle, Half-Angle, and Product-Sum Formulas. Basic Trigonometric Equations. More Trigonometric Equations. Focus on Modeling: Traveling and Standing Waves. 5. POLAR COORDINATES AND PARAMETRIC EQUATIONS. Polar Coordinates. Graphs of Polar Equations. Polar Form of Complex Numbers; DeMoivre's Theorem. Plane Curves and Parametric Equations. Focus on Modeling: The Path of a Projectile. 6. VECTORS IN TWO AND THREE DIMENSIONS. Vectors in Two Dimensions. The Dot Product. Three-Dimensional Coordinate Geometry. Vectors in Three Dimensions. The Cross Product. Equations of Lines and Planes. Focus on Modeling: Vector Fields. 7. CONIC SECTIONS. Parabolas. Ellipses. Hyperbolas. Shifted Conics. Rotation of Axes. Polar Equations of Conics. Focus on Modeling: Conics in Architecture. 8. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions. The Natural Exponential Function. Logarithmic Functions. Laws of Logarithms. Exponential and Logarithmic Equations. Modeling with Exponential and Logarithmic Functions. Damped Harmonic Motion. Focus on Modeling: Fitting Exponential and Power Curves to Data. APPENDIX A: Algebra Review. Real Numbers. Exponents and Radicals. Algebraic Expressions. Equations. Inequalities. APPENDIX B: Geometry Review. Congruence and Similarity of Triangles. The Pythagorean Theorem. APPENDIX C: Graphing Calculators. Using a Graphing Calculator. Solving Equations and Inequalities Graphically.
