Focusing on helping students to develop both the conceptual understanding and the analytical skills necessary to experience success in mathematics, we present each mathematical topic in this text using a carefully developed learning system to actively engage students in the learning process. We have tried to address the diverse needs of today's students through a more open design, updated figures and graphs, helpful features, careful explanations of topics, and a comprehensive package of supplements and study aids. Students will benefit from the text's student-oriented approach. We believe instructors will particularly welcome the new Annotated Instructor's Edition, which provides answers in the margin to almost all exercises, plus helpful Teaching Tips.
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Höhe: 255 mm
Breite: 261 mm
Dicke: 25 mm
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978-0-321-22736-2 (9780321227362)
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
Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.
Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics, education, or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and ten years of writing mathematics textbooks, both of his goals have been realized.
His love for teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum.
John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh). He has been a rabid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.
David Schneider has taught mathematics at universities for over 34 years and has authored 36 books. He has an undergraduate degree in mathematics from Oberlin College and a PhD in mathematics from MIT. During most of his professional career, he was on the faculty of the University of Maryland ? College Park. His hobbies include travel, dancing, bicycling, and hiking.
1. The Trigonometric Functions.
Angles.
Angle Relationships and Similar Triangles.
Using the Definitions of the Trigonometric Functions.
2. Acute Angles and Right Triangles.
Trigonometric Functions of Acute Angles.
Trigonometric Functions of Non-Acute Angles.
Finding Trigonometric Function Values Using a Calculator.
Solving Right Triangles.
Further Applications of Right Triangles.
3. Radian Measure and the Circular Functions.
Radian Measure.
Applications of Radian Measure.
The Unit Circle and Circular Functions.
Linear and Angular Velocity.
4. Graphs of the Circular Functions.
Graphs of the Sine and Cosine Functions.
Translations of the Graphs of the Sine and Cosine Functions.
Graphs of the Other Circular Functions.
Harmonic Motion.
5. Trigonometric Identities.
Fundamental Identities.
Verifying Trigonometric Identities.
Sum and Difference Identities for Cosine.
Sum and Difference Identities for Sine and Tangent.
Double-Angle Identities.
Half-Angle Identities.
6. Inverse Trigonometric Functions and Trigonometric Equations.
Inverse Trigonometric Functions.
Trigonometric Equations I.
Trigonometric Equations II.
Equations Involving Inverse Trigonometric Functions.
7. Applications of Trigonometry and Vectors.
Oblique Triangles and the Law of Sines.
The Ambiguous Case of the Law of Sines.
The Law of Cosines.
Vectors and the Dot Product.
Applications of Vectors.
8. Complex Numbers, Polar Equations, and Parametric Equations.
Complex Numbers.
Trigonometric (Polar) Form of Complex Numbers.
The Product and Quotient Theorems.
Powers and Roots of Complex Numbers.
Polar Equations and Graphs.
Parametric Equations, Graphs, and Applications.
9. Exponential and Logarithmic Functions.
Exponential Functions.
Logarithmic Functions.
Evaluating Logarithms; Equations and Applications.
Appendix A: Equations and Inequalities.
Appendix B: Graphs of Equations.
Appendix C: Functions.
Appendix D: Graphing Techniques.
Glossary.
Solutions to Selected Exercises.
Answers to Selected Exercises.
Index of Applications.
Index.
