Table of Contents:
  • Section I: Algebra: I. Revision of elemtary algebra
  • II. The summation and convergence of some simple series
  • III. Permutations, combinations and the binomial theorem
  • Section II: Trigonometry and geometry: IV. Basic trigonometry
  • V. Co-ordinate geometry
  • VI. Conic sections and polar co-ordinates
  • Section III: Calculus: functions of one variable: VII. Continuity and limits
  • VIII. Rates of change of ecoomic variables
  • IX. Differentiation
  • X. Differentation
  • XI. Maxima, minima and points of inflexion
  • XII. Integration
  • XIII. Logarithms
  • XIV. Exponentials
  • XV. Some techniques of differentiation
  • XVI. Some techniques of integration
  • XVII. Maclaurinþs and Taylorþs theorems
  • Section IV: Calculus: Functions of many variables: XVIII. Partial differentiation
  • XIX. Partial differentiation
  • XX. Maxima and minima of functions of two or more variables
  • XXI. Restricted maxima and minima and lagrange multipliers
  • XXII. Homogeneous functions and Eulerþs theorem
  • XXIII. Multiple, linear and surface integration
  • XXIV. Differentials
  • Section V: Mathematics of fluctuations and growth: XXV. Complex numbres
  • XXVI. Differential equations
  • XXVII. Difference
  • Section VI: Chiefly linear algebra: XXVIII. Sets, numbers and binary operations
  • XXIX. Vectors, matrices and determinants
  • XXX. Linear dependence
  • XXXI. Equivalence, partitioning and rank
  • XXXII. The solubility of linear equations
  • XXXIII. More linear programming and algebra
  • Appendices
  • Bibliography
  • Answers
  • Tables
  • Index