Calculus An Intuitive and Physical Approach – Morris Kline – 2nd Edition

Description

Application-oriented introduction relates the subject as closely as possible to . In-depth explorations of the , the and integration of the powers of x, and theorems on differentiation and antidifferentiation lead to a definition of the chain rule and examinations of trigonometric functions, logarithmic and functions, techniques of integration, , much more. Clear-cut explanations, numerous drills, illustrative examples. 1967 edition.

Table of Contents

CHAPTER 1 WHY CALCULUS?
CHAPTER 2 THE DERIVATIVE
CHAPTER 3 THE ANTIDERIVED FUNCTION OR THE INTEGRAL
CHAPTER 4 THE GEOMETRICAL SIGNIFICANCE OF THE DERIVATIVE
CHAPTER 5 THE DIFFERENTIATION AND INTEGRATION OF POWERS OF x
CHAPTER 6 SOME THEOREMS ON DIFFERENTIATION AND ANTIDIFFERENTIATION
CHAPTER 7 THE CHAIN RULE
CHAPTER 8 MAXIMA AND MINIMA
CHAPTER 9 THE DEFINITE INTEGRAL
CHAPTER 10 THE TRIGONOMETRIC FUNCTIONS
CHAPTER 11 THE INVERSE TRIGONOMETRIC FUNCTIONS
CHAPTER 12 LOGARITHMIC AND EXPONENTIAL FUNCTIONS
CHAPTER 13 DIFFERENTIALS AND THE LAW OF THE MEAN
CHAPTER 14 FURTHER TECHNIQUES OF INTEGRATION
CHAPTER 15 SOME GEOMETRIC USES OF THE DEFINITE INTEGRAL
CHAPTER 16 SOME PHYSICAL APPLICATIONS OF THE DEFINITE INTEGRAL
CHAPTER 17 POLAR COORDINATES
CHAPTER 18 RECTANGULAR PARAMETRIC EQUATIONS AND CURVILINEAR MOTION
CHAPTER 19 POLAR PARAMETRIC EQUATIONS AND CURVILINEAR MOTION
CHAPTER 20 TAYLOR'S THEOREM AND INFINITE SERIES
CHAPTER 21 FUNCTIONS OF TWO OR MORE VARIABLES AND THEIR GEOMETRIC REPRESENTATION
CHAPTER 22 PARTIAL DIFFERENTIATION
CHAPTER 23 MULTIPLE INTEGRALS
CHAPTER 24 AN INTRODUCTION TO DIFFERENTIAL EQUATIONS
CHAPTER 25 A RECONSIDERATION OF THE FOUNDATIONS
TABLES
INDEX
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