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Calculus and Probability for Actuarial Students by Alfred Henry




Calculus and Probability for Actuarial Students - Table of Contents

  • 1. Functions, Definition of Certain Terms, Graphical Representation
  • 2. Finite Differences, Definitions
  • 3. Finite Differences, General Formulas and Special Cases
  • 4. Finite Differences, Interpolation
  • 5. Finite Differences, Central Differences
  • 6. Finite Differences, Inverse Interpolation
  • 7. Finite Differences, Summation or Integration
  • 8. Finite Differences, Divided Differences
  • 9. Finite Differences, Functions of Two Variables
  • 10. Differential Calculus, Elementary Conceptions and Definitions
  • 11. Differential Calculus, Standard Forms, Partial Differentiation
  • 12. Differential Calculus, Successive Differentiation
  • 13. Differential Calculus, Expansions, Taylor's and Maclaurin's Theorems
  • 14. Differential Calculus, Miscellaneous Applications
  • 15. Relation of Differential Calculus to Finite Differences
  • 16. Integral Calculus, Definitions and Illustrations
  • 17. Integral Calculus, Standard Forms
  • 18. Integral Calculus, Methods of Integration
  • 19. Integral Calculus, Definite Integrals, Miscellaneous Applications
  • 20. Approximate Integration
  • 21. Probability
  • 22. Examples
  • 23. Answers to Examples

What You Will Learn in Calculus and Probability for Actuarial Students

Calculus and Probability for Actuarial Students by Alfred Henry is a foundational text commissioned by the Institute of Actuaries to provide professional examination candidates with rigorous mathematical training. Specially tailored for insurance and financial mathematics students, this volume serves as an exceptional resource for actuarial examination probability calculus practice.

The textbook systematically presents finite differences, interpolation formulas, summation of series, differential and integral calculus, and fundamental laws of chance. By uniting discrete numerical analysis with continuous probability distributions, Henry enables readers to execute essential actuarial risk assessment calculations with complete mathematical precision and clarity.

Praised by professional actuaries for its structured progression and clear exposition, this historic reference remains an invaluable asset for self-directed study and revision. Henry’s methodical framework equips financial mathematics scholars with the exact analytical tools required for mastering applied actuarial probability modeling concepts across risk domains.

Book Details & Specifications

Title: Calculus and Probability for Actuarial Students by Alfred Henry
Publisher: The Institute of Actuaries
Year: 1922
Pages: 170
Type: PDF
Language: English
ISBN-10 #: 0359085679
ISBN-13 #: 978-0359085675
License: Public Domain Work
Amazon: Amazon

About the Author: Alfred Henry

The author Alfred Henry , F.I.A., A.I.A., was a distinguished Fellow of the Institute of Actuaries and a renowned UK actuary during the early 20th century. He contributed extensively to actuarial education, developing official training literature to prepare candidates for rigorous professional credentialing exams.

Commissioned by the Institute of Actuaries, Henry’s authoritative writing established the standard pedagogical curriculum for financial risk mathematics, serving as a cornerstone reference for candidates seeking rigorous actuarial mathematics study materials.


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