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 specialized textbook designed for "actuarial" science students. It combines essential "calculus" and "probability" concepts in one volume, providing a practical foundation for actuarial applications. The book covers "finite differences", differential calculus, and integral calculus, emphasizing their use in solving real-world problems related to insurance, finance, and risk assessment.
The text begins with "finite differences", including interpolation techniques, before introducing differential and integral calculus. Henry explains derivatives, successive differentiation, and definite and indefinite integrals, linking these concepts to actuarial computations. The final section focuses on "probability", offering tools for assessing uncertainty and analyzing risk. Worked examples and solutions throughout the book allow students to apply theory to practical actuarial problems, reinforcing both understanding and technique.
Henry’s approach prioritizes clarity and applied understanding over abstract theory, making the book accessible to beginners while remaining valuable for more advanced students. By combining "actuarial", "calculus", "probability", "finite differences", and "integration", the book serves as a comprehensive, unified reference for students preparing for actuarial exams or building a solid foundation in applied mathematics for financial and insurance industries.
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
was a mathematician and author known for his work in "actuarial" science and applied mathematics. He wrote "Calculus and Probability for Actuarial Students" to help aspiring actuaries master essential "calculus", "probability", and "finite differences" for practical use in insurance and finance. Henry’s writing emphasizes "clarity" and real-world applications, making complex mathematical concepts accessible to students.
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