Description
Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra originally developed from classical algebraic precursors.
This book successfully ties together the disconnect between classical and modern algebraand provides readers with answers to many fascinating questions that typically go unexamined, including:
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What is algebra about?
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How did it arise?
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What uses does it have?
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How did it develop?
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What problems and issues have occurred in its history?
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How were these problems and issues resolved?
The author answers these questions and more, shedding light on a rich history of the subject-from ancient and medieval times to the present. Structured as eleven "lessons" that are intended to give the reader further insight on classical algebra, each chapter contains thought-provoking problems and stimulating questions, for which complete answers are provided in an appendix.
Complemented with a mixture of historical remarks and analyses of polynomial equations throughout, Classical Algebra: Its Nature, Origins, and Uses is an excellent book for mathematics courses at the undergraduate level. It also serves as a valuable resource to anyone with a general interest in mathematics.
About the Author
Roger Cooke, PhD, is Emeritus Professor of Mathematics in the Department of Mathematics and Statistics at the University of Vermont. Dr. Cooke has over forty years of academic experience, and his areas of research interest include the history of mathematics, almost-periodic functions, uniqueness of trigonometric series representations, and Fourier analysis. He is also the author of The History of Mathematics: A Brief Course, Second Edition (Wiley).
Reviews
Winner of the 2008 CHOICE Outstanding Academic Title Award
"The book is written in an utmost lucid and cultured style, basically accessible to anyone with a general interest in mathematics, and a valuable contribution to the overall popularization of algebra into the bargain." (Zentralblatt Math, 2008)
"Cooke does a superb job of beginning to bridge the gulf between quadratic equations and group theory." (CHOICE, September 2008)
"Classical Algebra deserves a large audience, and should be in every undergraduate library." (MAA Reviews, June 2, 2008)
Book Information
ISBN 9780470259528
Author Roger L. Cooke
Format Paperback
Page Count 224
Imprint Wiley-Interscience
Publisher John Wiley & Sons Inc
Weight(grams) 367g
Dimensions(mm) 235mm * 158mm * 17mm
