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.
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.
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.
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