Buch, Englisch, 218 Seiten, Paperback, Format (B × H): 152 mm x 229 mm
Reihe: Problem Books
Buch, Englisch, 218 Seiten, Paperback, Format (B × H): 152 mm x 229 mm
Reihe: Problem Books
ISBN: 978-1-4704-4349-8
Verlag: American Mathematical Society
A playful, readable, and thorough guide to precalculus, this book is directed at readers who would like a holistic look at the high school curriculum material on functions and their graphs. Tanton provides a coherent guided tour of exploration and discovery of a rich mathematical landscape. The exploration is presented through problems selected from the history of the Mathematical Association of America's American Mathematics Competition (AMC). Secondary school teachers looking for supplementary and enrichment materials will find this a rich resource, which aligns with national curriculum standards. High school and college calculus and precalculus students will discover an approachable and thought-provoking review, preview, and overview of these central mathematical ideas. Students preparing for the AMC should find it especially helpful. Active reading, with pencil in hand, will result in a deep appreciation and understanding of the properties of functions.
James Tanton is the MAA's mathematician-at-large. A research mathematician with experience teaching at both the college and high school levels, he now works to encourage and aid all mathematics instructors to teach--and all mathematics students to learn-joyously and effectively.
Weitere Infos & Material
- Functions and graphs: What is a function? A swift conceptual overview
- Sequences as functions on $\mathbb{N}$
- Numerical functions on $\mathbb{R}$
- Composite functions and inverse functions
- Graphing
- Transformations of graphs
- Average rate of change, constant rate of change
- Quadratic functions
- Polynomial functions
- Rational functions
- Select special functions and equations
- Fitting formulas to data points
- Solutions: Solutions
- Appendices: Ten problem-solving strategies
- Connections to the Common Core State Standards: Practice standards and content standards.
