# An Elementary Treatise on Actuarial Mathematics

Cambridge University Press, 5/26/2016

EAN 9781316611784, ISBN10: 1316611787

Paperback, 414 pages, 21.6 x 14.2 x 2.5 cm

Language: English

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.