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Beyond the Quadratic Formula
Ron Irving

There is a great deal to like about this book. It is clearly written and will teach the reader a lot of mathematics that current undergraduates may rarely see. Future teachers, in particular, may find quite a lot of value here, since it clearly conveys the idea that the standard quadratic formula, which most students find boring, is really the tip of the iceberg.--MAA Reviews

The quadratic formula for the solution of quadratic equations was discovered independently by scholars in many ancient cultures and is familiar to everyone. Less well known are formulas for solutions of cubic and quartic equations whose discovery was the high point of 16th century mathematics. Their study forms the heart of this book, as part of the broader theme that a polynomial's coefficients can be used to obtain detailed information on its roots. The book is designed for self-study, with many results presented as exercises and some supplemented by outlines for solution. The intended audience includes in-service and prospective secondary mathematics teachers, high school students eager to go beyond the standard curriculum, undergraduates who desire an in-depth look at a topic they may have unwittingly skipped over, and the mathematically curious who wish to do some work to unlock the mysteries of this beautiful subject.

  • Author: Ron Irving
  • ISBN: 978-0-88385-783-0
  • 244 pp.
  • Hardbound
  • 2013
  • Classroom Resource Materials Series
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