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### Conteúdo

 CHAPTER 1 Variables and Constants 2 Function and Argument 3 Inverse Functions 5 Increments 6 Average Gradient Rates 7 Turning Points Maxima and Minima 9 Variation of the Gradient Point of Inflexion 11
 Change of Variable 65 CHAPTER VII 77 Simpsons Rules 85 Centres of Pressure 92 Work done by an Expanding Gas 98 Derivatives of the Circular Functions 105 xii 110 Series for sin x and cos x 113

 Continuity 13 Notation for Functions 14 Notation for Increments 15 Exercises 17 CHAPTER II 19 Gradient of a Curve 21 Limits 22 Definition of a Limit Notation 23 Gradient of the Graph of Powers of x 27 Exercises II 31 ART PAOB 32 CHAPTER III 41 CHAPTER IV 48 CHAPTER V 58
 Integration by Parts 125 Twelve Equidistant Ordinates 132 Four iers Series 139 Worked Examples 146 CHAPTER XII 155 Derivatives and Integrals of log x and e 162 Important Examples 169 Curvature 177 The Common Catenary 184 Double Integrals 193 Graphical Construction of Integral Curve 199 Second Moments 205 Index 223

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Página v - In the following pages an attempt has been made to present the psychology of number from this point of view.
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Página 178 - The curvature may be expressed in terms of the first and second derivatives of the ordinate at the point.