Ronald S Irving - Beyond the Quadratic Formula torrent

Beyond the Quadratic Formula (Classroom Resource Materials)

by Ronald S. Irving.

Pages : 244.
Publisher : The Mathematical Association of America, 2013
Series : Classroom Resource Materials
ISBN-13 : 978-0883857830
Format : PDF


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.


Contents
========

1. Polynomials
2. Quadratic polynomials
3. Cubic polynomials
4. Complex numbers
5. Cubic polynomials, II
6. Quartic polynomials
7. Higher-degree polynomials
Bibliography


Author
======
Ronald Irving has been a Professor of Mathematics at the University of
Washington since 1981, prior to which he held postdoctoral positions
at Brandeis University, the University of Chicago, and UCSD. He became
chair of the University of Washington's mathematics department in
2001, Divisional Dean of Natural Sciences in 2002, and Interim Dean of
Arts and Sciences in 2006. In 2003, Irving joined the Board of
Governors of the Astrophysical Research Consortium and continues to
serve as the secretary-treasurer of the consortium.

Since 2010, he has been a member of the external board of the Burke
Museum of Natural History and Culture, one of Washington's state
museums and a part of the University of Washington. Irving is a
member of the Mathematical Association of America and the American
Mathematical Society.

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