An Elementary Treatise on Actuarial Mathematics

Introduction; Author's preface; Part I. Elementary Trigonometry: 1. Definitions; Part II. Finite Differences: 2. Definitions and fundamental formulae; 3. Interpolation for equal intervals; 4. Interpolation for unequal intervals; 5. Central differences; 6. Inverse interpolation; 7. Summation; 8. Miscellaneous theorems; Part III. Functions and Limits: 9. Algebraic functions; Part IV. Differential Calculus: 10. Definitions, standard forms, successive differentiation; 11. Expansions; 12. Maxima and minima; 13. Miscellaneous theorems; Part V. Integral Calculus: 14. Definitions and standard forms; 15. More difficult integrals, integration by parts; 16. Definite integrals, areas, miscellaneous theorems; 17. Approximate integration; Part VI. Probability: 18. Numerical definitions of probability; 19. Mean value. The application of the calculus to the solution of questions in probability; Miscellaneous examples; Answers to the examples; Index.