6: Maxima and Minima Without Calculus (Dolciani Mathematical Expositions)

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9780883853061: 6: Maxima and Minima Without Calculus (Dolciani Mathematical Expositions)

The purpose of the this book is to put together in one place the basic elementary techniques for solving problems in maxima and minima other than the methods of calculus and linear programming. The emphasis is not on individual problems, but on methods that solve large classes of problems. These methods are organized in terms of the mathematical ideas used, whether from algebra, geometry, the theory of inequalities, and so on. The many chapters of the book can be read independently, without references to what precedes or follows. Besides the many problems solved in the book, others are left to the reader to solve, with sketches of solutions given in the later pages.

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Book Description:

The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima and minima other than the methods of calculus and linear programming. Each of the self-contained chapters cover methods that solve large classes of problems, and helpful exercises are provided.

About the Author:

Ivan Niven published over sixty papers, some with well-known co-authors such as Samuel Eilenberg, Paul Erdos (6 times), Nathan J. Fine, R. D. James, and H. S. Zuckerman (7 times). His areas of expertise were number theory, especially the areas of diophantine approximation and questions of irrationality and transcendance of numbers, and combinatorics. He wrote seven books, including the Carus Monograph "Irrational Numbers and "Numbers: Rational and Irrational" and "Mathematics of Choice/How to Count without Counting," and "Maxima and Minima Without Calculus," for the MAA. In 1989 he was presented the MAA's highest award for achievement, the Award for Distinguished Service to Mathematics (now called the Yueh-Gin Gung and Charles Y. Hu Award for Distinguished Service to Mathematics). Ivan Niven died in May 1999 in Eugene, Oregon

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