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008			211117b ||||| |||| 00| 0 eng d
020			_a340048077
040			_aBUL _cBUL _dBUL _beng _erda
082			_220 _a510 _bABB
100			_aAbbott P.
245			_aNational certificate mathematics / _cP. Abbott and H. Marshall
260			_aLondon : _bThe english universities press, _c1960.
300			_axii, 380 p. : _bill. ; _c20 cm.
440			_aThe technical college series
500			_aContent INDICES AND LOGARITHMS The index notation Laws of indices Fractional and negative indices Meaning of a logarithm Laws of logarithms LOGARITHMS TO OTHER BASES THAN Meaning General relation between logarithms of a number to two different bases Naperian logarithms Relation to common logarithms QUADRATIC EQUATIONS Methods of solution Imaginary roots Simultaneous quadratics MENSURATION 1 Areas of plane rectilinear figures Formula for area of triangle Regular polygons Irregular rectilinear figures Areas of irregular curved figures by trapezoidal, mid-ordinate and simpson's rules Volumes of irregular solids MENSURATION II The circle Intersecting chords and their properties Area of sector and of segment Angular velocity MENSURATION III Area and volume of prism and cylinder Volume of frustum Area and volume of pyramid and cone Area and volume of frustum Area and volume of sphere PROGRESSIONS Meaning of a series Arithmetic series Geometric series Sum of n terms Approach to infinity Sum to infinity THE TRIGONOMETRICAL RATIOS Sines of angles up to 360 Negative angles The sine graph Cosines of angles up to 360 The cosine graph Tangents of angles up to 360 Well-known identities Trigonometrical functions SOLUTION OF TRIANGLES Sine rule The ambiguous case Cosine rule THE ADDITION FORMULA Expansions of sin (A +B), cos (A+B) Ratios of multiple and sub-multiple angles Trigonometrical equations THE PLOTTING OF MORE DIFFICULT GRAPHS Recapitulation of previous work Graphs of cubic expressions Alternative methods The graphs of y = x(x-a) (x-b), y= ax3 + bx2 + cx +d The graphs of y=3.5x2.8, y=3 DETERMINATION OF LAWS The linear law Laws other than linear and their reduction to a straight line THE BINOMIAL THEOREM Meaning of binomial expression Simple expansions of (a + b) Expansion of (a + b)n FUNCTIONS-RATE OF INCREASE - DIFFERENTIATION Meaning of function Dependent and independent variables Functional notation Gradient and slope Gradient of straight line Gradient of a curve Velocity at a point Differentiation from first principles Differential coefficient Differentiation of simple functions Differentiation of y = axn Differentiation of a sum Velocity and acceleration by differentiation MAXIMA AND MINIMA The sign of the differential coefficient Stationary values Turning points Maximum and minimum points Application to practical problems
504			_aInclude Bibliography and index
650			_aMathematics
700			_aH. Marshall
942			_2ddc _cBO _h510 _i1 _kABB _m510 ABB