Mathematics for Finance

An Introduction to Financial Engineering

  • Marek Capiński
  • Tomasz Zastawniak

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-x
  2. Pages 21-45
  3. Pages 47-71
  4. Pages 91-124
  5. Pages 173-190
  6. Pages 191-214
  7. Pages 215-236
  8. Back Matter
    Pages 263-310

About this book


Designed to form the basis of an undergraduate course in mathematical finance, this book builds on mathematical models of bond and stock prices and covers three major areas of mathematical finance that all have an enormous impact on the way modern financial markets operate, namely: Black-Scholes’ arbitrage pricing of options and other derivative securities; Markowitz portfolio optimization theory and the Capital Asset Pricing Model; and interest rates and their term structure. Assuming only a basic knowledge of probability and calculus, it covers the material in a mathematically rigorous and complete way at a level accessible to second or third year undergraduate students. The text is interspersed with a multitude of worked examples and exercises, so it is ideal for self-study and suitable not only for students of mathematics, but also students of business management, finance and economics, and anyone with an interest in finance who needs to understand the underlying theory.


Arbitrage Derivative Securities Finance Financial Engineering Mathematical Finance Portfolio Theory Risk Management optimization

Authors and affiliations

  • Marek Capiński
    • 1
  • Tomasz Zastawniak
    • 2
  1. 1.Nowy Sącz School of Business-National Louis UniversityNowy SączPoland
  2. 2.Department of MathematicsUniversity of HullKingston upon HullUK

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London Limited 2003
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-330-0
  • Online ISBN 978-1-85233-846-6
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site
Industry Sectors
Finance, Business & Banking