Introduction to Actuarial and Financial Mathematical Methods

ISBN-13: 9780128001561 / Angielski / Twarda / 2015 / 624 str.

Garrett, Stephen

Opis

This self-contained module for independent study covers the subjects most often needed by non-mathematics graduates, such as fundamental calculus, linear algebra, probability, and basic numerical methods. The easily-understandable text of Introduction to Actuarial and Mathematical Methods features examples, motivations, and lots of practice from a large number of end-of-chapter questions. For readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute, Introduction to Actuarial and Mathematical Methods can provide a consistency of mathematical knowledge from the outset.

• Presents a self-study mathematics refresher course for the first two years of an actuarial program
• Features examples, motivations, and practice problems from a large number of end-of-chapter questions designed to promote independent thinking and the application of mathematical ideas
• Practitioner friendly rather than academic
• Ideal for self-study and as a reference source for readers with diverse backgrounds entering programs of the Institute and Faculty of Actuaries, the Society of Actuaries, and the CFA Institute

Recenzje

"This book is an ideal introduction to the mathematical background required for students who wish to embark on an actuarial or financial career. It will be especially useful to students who have not taken a mathematical degree. The extensive examples throughout the book show how the mathematics can be used in practice and enable students to gain a thorough understanding of the material." --John Millett, University of Kent

Spis treści

I: Fundamental Mathematics

1. Mathematical Language

2. Exploring Functions

3. Differential Calculus

4. Differential Calculus II

5. Sequences and Series

6. Integral Calculus I

7. Integral Calculus II

II: Further Calculus

8. Complex Numbers

9. Introductory Linear Algebra

10. Probability Theory

11. Implicit Functions and ODEs

12. Multivariate Calculus

13. Introductory Numerical Methods

III: Worked Solutions to QuestionsIV: Appendices

A. Mathematical Identities

B. Proof of the Chain Rule

C. Long Division in Algebra

O autorze

Prof. Stephen Garrett is Professor of Mathematical Sciences at the University of Leicester in the UK. He is currently Head of Actuarial Science in the Department of Mathematics, and also Head of the Thermofluids Research Group in the Department of Engineering. These two distinct responsibilities reflect his background and achievements in both actuarial science education and fluid mechanics research. Stephen is a Fellow of the Royal Aeronautical Society, the highest grade attainable in the world's foremost aerospace institution.