Beyond the Quadratic Formula
- Author: Ronald S. Irving, University of Washington
- Date Published: October 2013
- availability: Temporarily unavailable - available from TBC
- format: Hardback
- isbn: 9780883857830
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The quadratic formula, discovered independently by many ancient scholars, is a familiar sight to anyone who has studied mathematics. Less well known are formulas for the solutions of cubic and quartic equations whose discoveries were among the high points of sixteenth-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. A closing chapter offers glimpses into the theory of higher-degree polynomials, concluding with a proof of the fundamental theorem of algebra. The book is designed for self-study, with exercises and historical notes provided throughout. It is ideal for 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, or teachers looking for ways to enhance their presentation of this fascinating topic.
Read more- An accessible treatment of a historically fascinating area of mathematics that remains of great importance today
- The book is suitable for self-study, and is designed to be useful for students and instructors from high school to university level
- Included in the text are historical sections which place algebraic results in their wider intellectual context
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×Product details
- Date Published: October 2013
- format: Hardback
- isbn: 9780883857830
- length: 312 pages
- dimensions: 235 x 155 x 18 mm
- weight: 0.45kg
- contains: 11 b/w illus.
- availability: Temporarily unavailable - available from TBC
Table of Contents
Preface
1. Polynomials
2. Quadratic polynomials
3. Cubic polynomials
4. Complex numbers
5. Cubic polynomials, II
6. Quartic polynomials
7. Higher-degree polynomials
Bibliography
Index.
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