Beyond the quadratic formula
著者
書誌事項
Beyond the quadratic formula
（Classroom resource materials）
Mathematical Association of America, c2013
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注記
Includes bibliographical references (p. 217-221) and index
内容説明・目次
内容説明
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.
目次
- 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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