| eBook ISBN: | 978-1-4704-4875-2 |
| Product Code: | DOL/6.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
| eBook ISBN: | 978-1-4704-4875-2 |
| 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 THREE-SPACE
-
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
-
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
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 THREE-SPACE
-
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
