Introduction to Mathematical Finance by Kaisa Taipale
Introduction to Mathematical Finance - Table of Contents
- 1. Metric and Normed Spaces
- 2. Continuous Functions
- 3. The Contraction Mapping Theorem
- 4. Topological Spaces
- 5. Banach Spaces
- 6. Hilbert Spaces
- 7. Fourier Series
- 8. Bounded Linear Operators on a Hilbert Space
- 9. The Spectrum of Bounded Linear Operators
- 10. Linear Differential Operators and Green's Functions
- 11. Distributions and the Fourier Transform
- 12. Measure Theory and Function Spaces
- 13. Differential Calculus and Variational Methods
What You Will Learn in Introduction to Mathematical Finance
An Introduction to Mathematical Finance by Kaisa Taipale is a comprehensive undergraduate textbook designed to bridge pure mathematical concepts with modern financial theory. Serving as an essential learning guide, this volume provides a robust framework for mathematical finance problem solving practice.
The book systematically explores no-arbitrage pricing, binomial asset pricing models, interest rates, risk-neutral valuation, hedging strategies, and continuous-time Brownian motion leading to the Black-Scholes formula. By emphasizing intuitive derivations alongside rigorous calculations, Taipale enables students to perform essential financial derivative and option pricing calculations with complete clarity.
Highly regarded for its approachable tone, practical examples, and clear mathematical structure, this treatise remains an invaluable resource for quantitative finance aspirants. Taipale’s structured pedagogy equips learners with vital mathematical tools needed for mastering modern quantitative finance principles.
Book Details & Specifications
Title:
Introduction to Mathematical Finance by Kaisa Taipale
Publisher:
Softcover.io (Self-Published/ Open Resource)
Year:
2014
Pages:
246
Type:
PDF
Language:
English
ISBN-10 #:
1557869456
ISBN-13 #:
978-1557869456
License:
Academic Educational Resource (no license claimed)
Amazon:
Amazon
About the Author: Kaisa Taipale
The author Kaisa Taipale
is a mathematician and quantitative researcher with extensive university teaching experience in financial mathematics, algebraic geometry, and probability theory.
Known for making complex quantitative theories accessible to undergraduate students, Professor Taipale has authored highly structured mathematical finance and probability study guides.
Read or Downloadable Introduction to Mathematical Finance
Financial Mathematics