### Contents

 A PRELIMINARY WORD TO STUDENTS 1 SOME BASIC IDEAS ANALYZED 58 DIFFERENTIATION 76 INTEGRATION 126 TRIGONOMETRIC FUNCTIONS 156 LOGARITHMS 189 LOGARITHMIC AND EXPONENTIAL 236 RECTANGULAR CO�RDINATES 271
 TRIGONOMETRIC ANALYSIS 368 DEFINITE INTEGRALS 392 PROGRESSIONS AND SERIES 415 PERMUTATIONS COMBINATIONS 440 COMPLEX NUMBER SYSTEM 460 RETROSPECT AND PROSPECT 472 APPENDIX 485 INDEX 509

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Page 191 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 274 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Page 20 - In a right triangle the square of the hypotenuse equals the sum of the squares of the other two sides or legs.
Page 270 - A line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to half of it.
Page 211 - Any positive number being selected as a base, the logarithm of any other positive number is the exponent of the power to which the base must be raised to produce the given number. Thus, if a
Page 254 - The derivative of the quotient of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the...
Page 446 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Page 160 - The moment of a force about any point is the product of the magnitude of the force and the perpendicular distance from the point to the line of action of the force.
Page 428 - The number of permutations of n objects taken r at a time is n\ ,,Pr = n(n - l)(n- 2) • - • (n - r + 1) In particular, nPt = n, nPn = n'..
Page 181 - Briggs logarithm of a number is the exponent of the power to which 10 must be raised in order to give the number.