Maxima and Minima Without Calculus
by Niven, IvanFormat: Hardcover
Pub. Date: 1981-12-01
Publisher(s): Mathematical Assn of Amer
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Summary
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.
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. |
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