Introduction to Actuarial and Financial Mathematical Methods

1st Edition

Print ISBN: 9780128001561
eBook ISBN: 9780128004913
Imprint: Academic Press
Published Date: 7th April 2015
Page Count: 624
64.95 + applicable tax
54.99 + applicable tax
89.95 + applicable tax
Compatible Not compatible
VitalSource PC, Mac, iPhone & iPad Amazon Kindle eReader
ePub & PDF Apple & PC desktop. Mobile devices (Apple & Android) Amazon Kindle eReader
Mobi Amazon Kindle eReader Anything else

Institutional Access


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.

Key Features

  • 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


Actuarial and finance students worldwide who need to learn or revisit fundamental applied mathematical tools and techniques

Table of Contents

  • Dedication
  • Preface
  • Part 1: Fundamental Mathematics

    • Chapter 1: Mathematical Language

      • Abstract
      • 1.1 Common mathematical notation
      • 1.2 More advanced notation
      • 1.3 Algebraic expressions
      • 1.4 Questions
    • Chapter 2: Exploring Functions

      • Abstract
      • 2.1 General Properties and Methods
      • 2.2 Combining Functions
      • 2.3 Common Classes of Functions
      • 2.4 Inverse Functions
      • 2.5 Actuarial Application: The Time Value of Money
      • 2.6 Questions
    • Chapter 3: Differential Calculus

      • Abstract
      • 3.1 Continuity
      • 3.2 Derivatives
      • 3.3 Derivatives of More Complicated Functions
      • 3.4 Algebraic Derivatives on Your Computer
      • 3.5 Actuarial Application: The Force of Interest
      • 3.6 Questions
    • Chapter 4: Differential Calculus II

      • Abstract
      • 4.1 An Introduction to Smoothness
      • 4.2 Higher-Order Derivatives
      • 4.3 Stationary and Turning Points
      • 4.4 Higher-Order Derivatives and Stationary Points on Your Computer
      • 4.5 Actuarial Application: Approximating Price Sensitivities
      • 4.6 Questions
    • Chapter 5: Sequences and Series

      • Abstract
      • 5.1 Sequences
      • 5.2 Series and Summations
      • 5.3 Evaluating Summations
      • 5.4 Taylor and Maclaurin Series
      • 5.5 Series and Summations on Your Computer
      • 5.6 Actuarial Application: Annuities
      • 5.7 Questions
    • Chapter 6: Integral Calculus I

      • Abstract
      • 6.1 Indefinite Integrals of Basic Functions
      • 6.2 Change of Variables Approach
      • 6.3 Indefinite Integrals of Products of Functions
      • 6.4 Indefinite Integrals of Rational Functions
      • 6.5 Indefinite Integrals on Your Computer
      • 6.6 Questions
    • Chapter 7: Integral Calculus II

      • Abstract
      • 7.


No. of pages:
© Academic Press 2015
Academic Press
eBook ISBN:
Hardcover ISBN:


"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