微积分初步[按需印刷]

1.6.4 Irrational function

1.7 EXPONETIAL,LOGARITHMIC AND TRIGONOMETRIC FUNCTION

1.7.1 General exponential function

1.7.2 Logarithmic function

1.7.3 Trigonometric functions

1.8 ELEMENTARY FUNCTION

1.9 INVERSE FUNCTIONS

EXERCISES ON CHAPTER1

CGHAPTER2 LIMITS AND CONTINUITY OF FUNCTIONS

2.1 THE LIMIT OF AN ORDERED VARIABLE

2.2 THE LIMIT FUNCTION

2.3 PROPERTIES OF THE LIMIT FUNCTION

2.4 A FUNCTION APPROACHES INFINITY

2.5 INFINITESIMALS AND THEIR BASIC PROPERTIES

2.6 BASIC THEOREMS ON LIMITS

2.7 THE LIMOF TWO FUNCTIONS

2.8 CONTINUIY OF FUNCTIONS

2.9 CERTAIN PROPERTIES OF CONTINUOUS FUNCTIONS

EXERCISES ON CHAPTER2

CHARTER3 DERIVE AND DIFFERENTIAL

3.1 VELOCITY OF MOTION

3.2 THE DEFINITION OF A DERIVATIVE

3.3 THE DERIVATIVE OF:A CONSTANT,THE FUNCTION,n A POSITIVE INTEGER

3.4 DERIVATIVES OF:A SUM,APRODUCT AND APUOTIENT

3.5 THE DERIVATIVE OF A COMPOSITE FUNCTION

3.6 DERIVATIVES OF THE FUNCTIONS

3.7 AN INPLICIT FUNCTION AND ITS DIFFERENTIATION

3.8 DERIVATIVESOF A LOGARITHMIC FUNCTION,A GENERAL EXPONENTIAL FUNCTION

3.9 AN INVERSE FUNETION’S DIFFERENTIATION

3.10 BASEC DIFFERENTIATION FORMULAS

3.11 THE DERIVATIVE OF A FUNCTION REPRSENTED PARAMETRICALLY

3.12 THE DIFFERENTIAL

3.13 DERIV ATIVES OF DIFFERENT ORDERS

3.13.1 Derivatives of dlementary functions

3.13.2 Derivatives of implicit functions

3.13.3 Derivatives of functions represented parametrically

3.14 THE EQUATIONS OF A TANGENT AND A NORMAL

3.14.1 The geometric meaning of the differential

3.14.2 The equations of a tangent and a normal

EXERCISES ON CHAPTER3

CHAPTER4 SOME THEOREMS ON DIFFERENTIABLE FUNCTIONS

CHAPTER5 THE INDEFINITE INTEGRAL

CHAPTER6 THE DEFINITE INTEGRAL

CHAPTER7 DIFERENTIAL EQUATIONS

CHAPTER8 VECTORS AND SOLID ANALYTIC GEOMETRY

CHAPTER9 FUNCTIONS OF SEVERAL VARIABLES

CHAPTER10 MRLTIPLE INTEGRALS

CHAPTER11 SERIES

ANSWER TO EXERCISES

REFERENCES