Geometrical Properties of Differential Equations

Applications of the Lie Group Analysis in Financial Mathematics

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied
Cover of the book Geometrical Properties of Differential Equations by Ljudmila A Bordag, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ljudmila A Bordag ISBN: 9789814667265
Publisher: World Scientific Publishing Company Publication: May 27, 2015
Imprint: WSPC Language: English
Author: Ljudmila A Bordag
ISBN: 9789814667265
Publisher: World Scientific Publishing Company
Publication: May 27, 2015
Imprint: WSPC
Language: English

This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.

We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.

The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.

The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).

Contents:

  • Introduction
  • Point Transformations on ℝ2
  • Invariants of a One-Parameter Group of Point Transformations
  • First Order ODEs
  • Prolongation Procedure
  • Short Overview of the Lie Algebra Properties
  • High Order ODEs
  • Lie Group Analysis of PDEs
  • Study of New Models in Financial Mathematics

Readership: Advanced undergraduate students and graduate students in financial mathematics, mathematical economics or applied mathematics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.

We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.

The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.

The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).

Contents:

Readership: Advanced undergraduate students and graduate students in financial mathematics, mathematical economics or applied mathematics.

More books from World Scientific Publishing Company

Cover of the book International and Interregional Migration by Ljudmila A Bordag
Cover of the book After Bali by Ljudmila A Bordag
Cover of the book Contemporary Issues in Mediation by Ljudmila A Bordag
Cover of the book Seeking Adam Smith by Ljudmila A Bordag
Cover of the book Consumption Patterns of the Middle Class in Contemporary China by Ljudmila A Bordag
Cover of the book Managing Innovation by Ljudmila A Bordag
Cover of the book Human Amniotic Membrane by Ljudmila A Bordag
Cover of the book Introduction to the Theory of the Early Universe by Ljudmila A Bordag
Cover of the book Static and Dynamic Problems of Nanobeams and Nanoplates by Ljudmila A Bordag
Cover of the book China and Latin America by Ljudmila A Bordag
Cover of the book Drivers of Competitiveness by Ljudmila A Bordag
Cover of the book Decarbonising the World's Economy by Ljudmila A Bordag
Cover of the book Multiscale Technologies for Cryomedicine by Ljudmila A Bordag
Cover of the book Near-Equilibrium Transport by Ljudmila A Bordag
Cover of the book Antioxidants and Stem Cells for Coronary Heart Disease by Ljudmila A Bordag
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy