Introduction to Actuarial and Financial Mathematical Methods

by Stephen Garrett

Overview

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.

Product Details

ISBN-13:	9780128001561
Publisher:	Elsevier Science
Publication date:	04/07/2015
Pages:	624
Product dimensions:	7.70(w) x 9.40(h) x 1.30(d)

About the Author

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.

Table of Contents

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

What People are Saying About This

From the Publisher

This "fundamental mathematics" text provides a complete course of self-study for students of actuarial science and financial mathematics

Editorial Reviews

"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

From the Publisher