Originally published in 1931, this book was written to provide actuarial students with a guide to mathematics, with information on elementary trigonometry, finite differences, summation, differential and integral calculus, and probability. Examples are included throughout. This book will be of value to anyone with an interest in actuarial practice and its relationship with aspects of 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.