eBook ISBN:  9781470448752 
Product Code:  DOL/6.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 
eBook ISBN:  9781470448752 
Product Code:  DOL/6.E 
List Price:  $60.00 
MAA Member Price:  $45.00 
AMS Member Price:  $45.00 

Book DetailsDolciani Mathematical ExpositionsVolume: 6; 1981; 303 ppMSC: Primary 52; Secondary 00; 26; 49
The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima minima other than the methods of calculus and linear programming. The emphasis is not on 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

Chapters

CHAPTER ONE. BACKGROUND MATERIAL

CHAPTER TWO. SIMPLE ALGEBRAIC RESULTS

CHAPTER THREE. ELEMENTARY GEOMETRIC QUESTIONS

CHAPTER FOUR. ISOPERIMETRIC RESULTS

CHAPTER FIVE. BASIC TRIGONOMETRIC INEQUALITIES

CHAPTER SIX. POLYGONS INSCRIBED AND CIRCUMSCRIBED

CHAPTER SEVEN. ELLIPSES

CHAPTER EIGHT. THE BEES AND THEIR HEXAGONS

CHAPTER NINE. FURTHER GEOMETRIC RESULTS

CHAPTER TEN. APPLIED AND MISCELLANEOUS PROBLEMS

CHAPTER ELEVEN. EUCLIDEAN THREESPACE

CHAPTER TWELVE. ISOPERIMETRIC RESULTS NOT ASSUMING EXISTENCE


Reviews

A book superb in its exposition and teeming with a variety of elegant mathematical results. All instructors in calculus courses should keep this book within easy reach and administer generous doses of its contents to students who are seized by a fit of differentiation frenzy when confronted with any kind of extremum problem.
G. D . Chakerian, Mathematical Reviews 
As befits a volume in the Dolciani series, the expository style is above reproach: it is particularly impressive that the author manages, without frightening his readers to be honest about the difference between a proof which assumes the existence of an extremal solution and one which does not. This is a book which deserves to be read very widely.
P.T. Johnstone, Times Higher Education Supplement, London


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The purpose of this book is to put together in one place the basic elementary techniques for solving problems in maxima minima other than the methods of calculus and linear programming. The emphasis is not on 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.

Chapters

CHAPTER ONE. BACKGROUND MATERIAL

CHAPTER TWO. SIMPLE ALGEBRAIC RESULTS

CHAPTER THREE. ELEMENTARY GEOMETRIC QUESTIONS

CHAPTER FOUR. ISOPERIMETRIC RESULTS

CHAPTER FIVE. BASIC TRIGONOMETRIC INEQUALITIES

CHAPTER SIX. POLYGONS INSCRIBED AND CIRCUMSCRIBED

CHAPTER SEVEN. ELLIPSES

CHAPTER EIGHT. THE BEES AND THEIR HEXAGONS

CHAPTER NINE. FURTHER GEOMETRIC RESULTS

CHAPTER TEN. APPLIED AND MISCELLANEOUS PROBLEMS

CHAPTER ELEVEN. EUCLIDEAN THREESPACE

CHAPTER TWELVE. ISOPERIMETRIC RESULTS NOT ASSUMING EXISTENCE

A book superb in its exposition and teeming with a variety of elegant mathematical results. All instructors in calculus courses should keep this book within easy reach and administer generous doses of its contents to students who are seized by a fit of differentiation frenzy when confronted with any kind of extremum problem.
G. D . Chakerian, Mathematical Reviews 
As befits a volume in the Dolciani series, the expository style is above reproach: it is particularly impressive that the author manages, without frightening his readers to be honest about the difference between a proof which assumes the existence of an extremal solution and one which does not. This is a book which deserves to be read very widely.
P.T. Johnstone, Times Higher Education Supplement, London