Beyond the Quadratic Formula

UK Auflage
ISBN: 978-0-88385-783-0
Verlag: Mathematical Association of America (MAA)

Buch, Englisch, 312 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 449 g

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.

Autoren/Hrsg.

Irving, Ronald S

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

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.

Über Autor(innen)

Irving, Ronald S
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 the University of California, San Diego. 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.