Book:Ivan Niven/Maxima and Minima without Calculus

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Ivan Niven: Maxima and Minima without Calculus

Published $\text {1981}$, The Mathematical Association of America


Chapter One. Background Material
Chapter Two. Simple Algebraic Results
Chapter Three. Elementary Geometric Questions
3.1. Introduction
3.2. Triangles
3.3. Quadrilaterals
3.4. Miscellaneous Results in Geometry
3.5. The Reflection Principle
3.6. Equivalent Results
3.7. Auxiliary Circles
Chapter Four. Isoperimetric Results

Chapter Twelve. Isoperimetric Results Not Assuming Existence
Postscript on Calculus
Solutions of Problems