Book:Ivan Niven/Maxima and Minima without Calculus

Ivan Niven: Maxima and Minima without Calculus

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

Contents

Preface

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

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Chapter Twelve. Isoperimetric Results Not Assuming Existence

Postscript on Calculus

Solutions of Problems

References

Index