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ISBN: 9780131861374 | 0131861379

Edition: 3rdFormat: Hardcover

Publisher: Prentice Hall

Pub. Date: 1/1/2006

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Starting with nothing more than basic high school algebra, this volume leads readers gradually from basic algebra to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers.Features an informal writing style and includes many numerical examples. Emphasizes the methods used for proving theorems rather than specific results. Includes a new chapter on big-Oh notation and how it is used to describe the growth rate of number theoretic functions and to describe the complexity of algorithms. Provides a new chapter that introduces the theory of continued fractions. Includes a new chapter on "Continued Fractions, Square Roots and Pellrs"s Equation." Contains additional historical material, including material on Pellrs"s equation and the Chinese Remainder Theorem.A useful reference for mathematics teachers.