Maxima and Minima Without Calculus
Published on 6. April 2006
Book
Hardback
320 pages
978-0-88385-306-1 (ISBN)
Description
Describes techniques for solving problems in maxima and minima other than the methods of calculus.
More details
Person
Ivan Niven was an Emeritus Professor of University of Oregon
Content
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.