Elementary theory of equations
By Leonard E Dickson
* Publisher: J. Wiley & sons
* Number Of Pages: 184
* Publication Date: 1941
* ISBN-10 / ASIN: B0007FG7F0
* ISBN-13 / EAN:
Product Description:
This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection.
Summary: A true knowledge of the algebra of polynomials
Rating: 5
Dickson was the first truly great mathematician from the United States. A gifted number theorist, he also cared very deeply about the pedagogy of mathematics. For those of you who teach high school mathematics, and who teach the quadratic formula every semester, have you ever been asked by precocious students about the cubic formula? the quartic formula? Dickson explains them and gives very well-written exercises throughout the book. His exposition on symmetric polynomials is first-rate (and a good introduction to Galois Theory the way that Galois would have done it). By defining polynomial differentiation by the binomial theorem for (x + delta x), he allows the power of analysis to be used without any of the thorny topological considerations best left for a Real Analysis course. I crack this book open at least once a semester. Very highly recommended.
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