Schaum's Outlines of Theory and Problems of Differential and Integral Calculus

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Schaum’s Outlines of Differential and Integral Calculus

PDF Free Download | Schaum’s Outlines of Theory and Problems of Differential and Integral Calculus Third Edition by Frank Ayres, Elliott Mendelson

Contents of Differential and Integral Calculus

  • ABSOLUTE VALUE; LINEAR COORDINATE SYSTEMS;
  • INEQUALITIES
  • THE RECTANGULAR COORDINATE SYSTEM
  • LINES
  • CIRCLES
  • EQUATIONS AND THEIR GRAPHS
  • FUNCTIONS
  • LIMITS
  • CONTINUITY
  • THE DERIVATIVE
  • RULES FOR DIFFERENTIATING FUNCTIONS
  • IMPLICIT DIFFERENTIATION
  • TANGENTS AND NORMALS
  • MAXIMUM AND MINIMUM VALUES
  • APPLIED PROBLEMS INVOLVING MAXIMA AND MINIMA
  • RECTILINEAR AND CIRCULAR MOTION
  • RELATED RATES
  • DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS
  • DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS
  • DIFFERENTIATION OF EXPONENTIAL AND LOGARITHMIC
  • FUNCTIONS
  • DIFFERENTIATION OF HYPERBOLIC FUNCTIONS
  • PARAMETRIC REPRESENTATION OF CURVES
  • CURVATURE
  • PLANE VECTORS
  • CURVILINEAR MOTION
  • POLAR COORDINATES
  • THE LAW OFTHE MEAN
  • INDETERMINATE FORMS
  • DIFFERENTIALS
  • CURVE TRACING
  • FUNDAMENTAL INTEGRATION FORMULAS
  • INTEGRATION BY PARTS
  • TRIGONOMETRIC INTEGRALS
  • TRIGONOMETRIC SUBSTITUTIONS
  • INTEGRATION BY PARTIAL FRACTIONS
  • MISCELLANEOUS SUBSTITUTIONS
  • INTEGRATION OF HYPERBOLIC FUNCTIONS
  • APPLICATIONS OF INDEFINITE INTEGRALS
  • THE DEFINITE INTEGRAL
  • PLANE AREAS BY INTEGRATION
  • EXPONENTIAL AND LOGARITHMIC FUNCTIONS; EXPONENTIAL GROWTH AND DECAY
  • VOLUMES OF SOLIDS OF REVOLUTION
  • VOLUMES OF SOLIDS WITH KNOWN CROSS SECTIONS
  • CENTROIDS OF PLANE AREAS AND SOLIDS OF REVOLUTION
  • MOMENTS OF INERTIA OF PLANE AREAS AND SOLIDS OF
  • REVOLUTION
  • FLUID PRESSURE
  • WORK
  • LENGTH OF ARC
  • AREAS OF A SURFACE OF REVOLUTION
  • CENTROIDS AND MOMENTS OF INERTIA OF ARCS AND
  • SURFACES OF REVOLUTION
  • PLANE AREA AND CENTROID OF AN AREA IN POLAR
  • COORDINATES
  • LENGTH AND CENTROID OF AN ARC AND AREA OF A
  • SURFACE OF REVOLUTION IN POLAR COORDINATES
  • IMPROPER INTEGRALS
  • INFINITE SEQUENCES AND SERIES
  • TESTS FOR THE CONVERGENCE AND DIVERGENCE OF
  • POSITIVE SERIES
  • SERIES WITH NEGATIVE TERMS
  • COMPUTATIONS WITH SERIES
  • POWER SERIES
  • SERIES EXPANSION OF FUNCTIONS
  • MACLAURIN’S AND TAYLOR’S FORMULAS WITH REMAINDERS
  • COMPUTATIONS USING POWER SERIES
  • APPROXIMATE INTEGRATION
  • PARTIAL DERIVATIVES
  • TOTAL DIFFERENTIALS AND TOTAL DERIVATIVES
  • IMPLICIT FUNCTIONS
  • SPACE VECTORS
  • SPACE CURVES AND SURFACE
  • DIRECTIONAL DERIVATIVES; MAXIMUM AND MINIMUM
  • VALUES
  • VECTOR DIFFERENTIATION AND INTEGRATION
  • DOUBLE AND ITERATED INTEGRALS
  • CENTROIDS AND MOMENTS OF INERTIA OF PLANE AREAS
  • VOLUME UNDER A SURFACE BY DOUBLE INTEGRATION
  • AREA OF A CURVED SURFACE BY DOUBLE INTEGRATION
  • TRIPLE INTEGRALS
  • MASSES OF VARIABLE DENSITY
  • DIFFERENTIAL EQUATIONS
  • DIFFERENTIAL EQUATIONS OF ORDER TWO

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