Maxima and Minima Without Calculus (Dolciani Mathematical Expositions) by Ivan Niven (PDF)

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. The emphasis is not on the individual problems, but on methods that solve large classes of problems. 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.

User’s Reviews

Editorial Reviews: Review ‘A book superb in its exposition and teeming with a variety of elegant mathematical results… All instructors in calculus courses should keep this book within easy reach and administer generous doses of its contents to students who are seized by a fit of differentiation frenzy when confronted with any kind of extremum problem.’ Mathematical Reviews’As befits a volume in the Dolciani series, the expository style is above reproach: it is particularly impressive that the author manages, without frightening his readers, to be honest about the difference between a proof which assumes the existence of an extremal solution and one which does not. This is a book which deserves to be read very widely.’ The Times Higher Education Supplement’… An endless source of fascinating problems which appear at first thought to be elementary, but usually turn out to be unresponsive to normal methods, with elegant and easily understandable solutions by the methods given in the text.’ The Mathematical Gazette’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. [The emphasis is] on methods that solve large classes of problems.’ L’enseignement mathematique Book Description Describes techniques for solving problems in maxima and minima other than the methods of calculus. 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 was an Emeritus Professor of University of Oregon Read more

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