Introductory Mathematical Analysis for Quantitative Finance

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A01=Daniele Ritelli
A01=Giulia Spaletta
advanced mathematical finance concepts
applied calculus
Author_Daniele Ritelli
Author_Giulia Spaletta
Beta Function
Category=KFF
Category=PBK
Cauchy Problem
Constant Coefficient Equation
Differential calculus
Differential Equations
eq_bestseller
eq_business-finance-law
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
Euclidean space
Euler Summation Formula
Extended Real Number System
financial mathematics
Fourier transform
Fubini Theorem
Hahn Decomposition
Heat Equation
Homogeneous Linear Differential Equation
Implicit Function Theorem
Lebesgue integral
Lebesgue Measurable Set
Lebesgue Measure
Legendre Duplication Formula
linear algebra
Linear differential equations
Linearly Independent
mathematical rigor
Mathematical statistics
Measurable Disjoint Sets
measure theory applications
Null Set
Odd Function
Order Linear Differential Equation
Ordinary Differential Equation
probability theory
quantitative finance mathematical analysis
Radon Nikodym Theorem
Separable Differential Equation
stochastic processes
Topological Space
undergraduate finance curriculum
Vice Versa
Weierstrass Theorem

Product details

  • ISBN 9780815372547
  • Weight: 420g
  • Dimensions: 156 x 234mm
  • Publication Date: 15 Apr 2020
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Introductory Mathematical Analysis for Quantitative Finance is a textbook designed to enable students with little knowledge of mathematical analysis to fully engage with modern quantitative finance. A basic understanding of dimensional Calculus and Linear Algebra is assumed.

The exposition of the topics is as concise as possible, since the chapters are intended to represent a preliminary contact with the mathematical concepts used in Quantitative Finance. The aim is that this book can be used as a basis for an intensive one-semester course.

Features:

  • Written with applications in mind, and maintaining mathematical rigor.
  • Suitable for undergraduate or master's level students with an Economics or Management background.
  • Complemented with various solved examples and exercises, to support the understanding of the subject.

Daniele Ritelli is associate professor of mathematical analysis at the Department of Statistical Sciences of the University of Bologna, in Italy. He teaches ordinary and partial differential equations and special functions in various three-year and magister degree courses in statistics and finance. His research interests concern special functions, ordinary differential equations and pure and applied mathematics.

Giulia Spaletta is associate professor of numerical analysis at the Department of Statistical Sciences of the University of Bologna, in Italy. She lectures in various three-year and master degree courses in computer science, statistics and economics. Her research interests include numerical error analysis in linear algebra and differential equations and numerical modeling in biomedical engineering.

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