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AMS Chelsea Publishing
1961; 631 pp; hardcover
List Price: US$76
Member Price: US$68.40
Order Code: CHEL/354.H
At the beginning of the twentieth century, college algebra was taught differently than it is nowadays. There are many topics that are now part of calculus or analysis classes. Other topics are covered only in abstract form in a modern algebra class on field theory. Fine's College Algebra offers the reader a chance to learn the origins of a variety of topics taught in today's curriculum, while also learning valuable techniques that, in some cases, are almost forgotten.
In the early 1900s, methods were often emphasized, rather than abstract principles. In this book, Fine includes detailed discussions of techniques of solving quadratic and cubic equations, as well as some discussion of fourth-order equations. There are also detailed treatments of partial fractions, the method of undetermined coefficients, and synthetic division.
The book is ostensibly an algebra book; however, it covers many topics that are found throughout today's curriculum:
Though the book is structured as a textbook, modern mathematicians will find it a delight to dip into. There are many gems that have been overlooked by today's emphasis on abstraction and generality. By revisiting familiar topics, such as continued fractions or solutions of polynomial equations, modern readers will enrich their knowledge of fundamental areas of mathematics, while gaining concrete methods for working with their modern incarnations. The book is suitable for undergraduates, graduate students, and researchers interested in algebra.
Undergraduates, graduate students, and research mathematicians interested in algebra.
"The author has arranged a great variety of classical, elementary material in a very original manner, which every college student or grammar-school master can still considerably profit from, even so in these days."
-- Zentralblatt MATH
From a review of the previous edition:
"This book contains more than would seem possible from the title ... the author demonstrates that he is taking pains to bring scientific rigor into accord with pedagogical considerations."
-- translation of Jahrbuch Database review cited in Zbl. Reviews
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