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Maxima & Minima Without Calculus


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Synopses & Reviews

Publisher Comments:

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.


Describes techniques for solving problems in maxima and minima other than the methods of calculus.

About the Author

Ivan Niven was an Emeritus Professor of University of Oregon

Table of Contents

Preface; 1. Background material; 2. Simple algebraic results; 3. Elementary geometric questions; 4. Isoperimetric results; 5. Basic trigonometric inequalities; 6. Polygons inscribed and circumscribed; 7. Ellipses; 8. The bees and their hexagons; 9. Further geometric results; 10. Applied and miscellaneous problems; 11. Euclidean three-space; 12. Isoperimetric results not assuming existence; Postscript on calculus; Solutions of problems; References; Index.

Product Details

Niven, Ivan
The Mathematical Association of America
Maxima and minima
Edition Description:
Bibliography: p. 293-298.
Dolciani mathematical expositions ;
Series Volume:
5430no. 6
Publication Date:
Grade Level:
College/higher education:
85 line diagrams 194 exercises 85 fi

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Maxima & Minima Without Calculus New Hardcover
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Product details 320 pages Mathematical Association of America - English 9780883853061 Reviews:
"Synopsis" by , Describes techniques for solving problems in maxima and minima other than the methods of calculus.
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