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Algebra / Edition 1

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The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this development, are available in the following books to any student who is willing to read, to be stimulated, and to learn.

"Algebra" is an elementary algebra text from one of the leading mathematicians of the world -- a major contribution to the teaching of the very first high school level course in a centuries old topic -- refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned.

This text has been adopted at:
Holyoke Community College, Holyoke, MA * University of Illinois in Chicago, Chicago, IL * University of Chicago, Chicago, IL * California State University, Hayward, CA * Georgia Southwestern College, Americus, GA * Carey College, Hattiesburg, MS
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Editorial Reviews

From the Publisher
“The idea behind teaching is to expect students to learn why things are true, rather than have them memorize ways of solving a few problems, as most of our books have done. [This] same philosophy lies behind the current text by Gelfand and Shen. There are specific ‘practical’ problems but there is much more development of the ideas … [The authors] have shown how to write a serious yet lively look at algebra.” —The American Mathematics Monthly
“Were ‘Algebra’ to be used solely for supplementary reading, it could be wholeheartedly recommended to any high school student of any teacher … In fact, given the long tradition of mistreating algebra as a disjointed collection of techniques in the schools, there should be some urgency in making this book compulsory reading for anyone interested in learning mathematics.” —The Mathematical Intelligencer
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Product Details

  • ISBN-13: 9780817636777
  • Publisher: Birkhauser Verlag
  • Publication date: 7/1/2003
  • Edition description: 1st ed. 2004. Corr. 2nd printing 2003
  • Edition number: 1
  • Pages: 160
  • Sales rank: 677,976
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.34 (d)

Customer Reviews

Average Rating 4.5
( 5 )
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Sort by: Showing all of 5 Customer Reviews
  • Anonymous

    Posted August 22, 2004

    Excellent and fascinating algebra text.

    This text, which is intended as a supplement to a course on high school algebra, delves into topics not ordinarily covered in the high school curriculum. The exposition is remarkably clear and the exercises are well-chosen and often quite challenging. The text covers the laws of arithmetic and algebra, polynomials, arithmetic and geometric progressions and their sums, polynomial equations and inequalities, rational expressions, roots and rational exponents, and inequalities relating the arithmetic, geometric, harmonic, and quadratic (root-mean-square) means. Topics and exercises are chosen with higher mathematics in mind. The reader gains facility in algebraic manipulation while gaining insights into more advanced mathematics. The authors provide solutions to some of the exercises. These are instructive to read for the additional insights they offer into the problem.

    2 out of 2 people found this review helpful.

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    Posted March 22, 2009

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