Description
Condition
LIKE NEW: The book’s binding is tight, its pages are clean, and its covers are in excellent condition.
Product Details
This book is Number Thirty-Five in the Dolciani Mathematical Expositions series from the Mathematical Association of America.
From the back cover: This book “offers teachers an opportunity to deepen their knowledge of mathematics, not by exploring the far reaches of the subject, but by returning to the core. More generally, for the old hand and new devotee alike, this book will surprise, intrigue, and delight readers with unexpected aspects of old and familiar subjects. Do you recall fondly your first studies of these subjects? Do you remember a sense of wonder and fascination as the main ideas of calculus and algebra and geometry unfolded before your eyes? Would you like to experience it again, making new discoveries about such familiar subjects? If so, this book is for you.
“The book is particularly recommended for professional development and continuing education of secondary and college mathematics teachers. It provides teachers an opportunity to enrich and strengthen their command of mathematics, not at advanced theoretical levels, but in direct contact with the topics they teach. Seeing unexpected connections between familiar ideas and discovering interesting new aspects of these ideas contribute to deeper content knowledge and an appreciation of the richness of the mathematics surrounding the standard curriculum.”
BRIEF CONTENTS
- Preface
- Acknowledgments
- I – The Province of Polynomia
- 1 – Horner’s Form
- 2 – Polynomial Potpourri
- 3 – Polynomial Roots and Coefficients
- 4 – Solving Polynomial Equations
- II – Maxministan
- 5 – Leveling with Lagrange: Constrained Maxima and Minima with Lagrangian Functions
- 6 – A Maxmini Miscellany
- 7 – Envelopes and the Ladder Problem
- 8 – Deflection on an Ellipse
- III – The Calculusian Republic
- 9 – A Generalized Logarithm for Exponential-Linear Equations
- 10 – Envelopes and Asymptotes
- 11 – Derivatives Without Limits
- 12 – Two Calculusian Miracles
- References
- Index
- About the Author