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

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

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  • 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
  • Citation

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