A Modern Theory of Random Variation

With Applications in Stochastic Calculus, Financial Mathematics, and Feynman Integration

Business & Finance, Economics, Econometrics, Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Statistics
Cover of the book A Modern Theory of Random Variation by Patrick Muldowney, Wiley
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Patrick Muldowney ISBN: 9781118345948
Publisher: Wiley Publication: April 26, 2013
Imprint: Wiley Language: English
Author: Patrick Muldowney
ISBN: 9781118345948
Publisher: Wiley
Publication: April 26, 2013
Imprint: Wiley
Language: English

A ground-breaking and practical treatment of probability and stochastic processes

A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions.

In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals.

Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity.

A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation.

Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.

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

A ground-breaking and practical treatment of probability and stochastic processes

A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions.

In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals.

Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity.

A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation.

Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.

More books from Wiley

Cover of the book Homogeneous Catalysis by Patrick Muldowney
Cover of the book DSM-IV-TR in Action by Patrick Muldowney
Cover of the book M&A by Patrick Muldowney
Cover of the book Data Analysis by Patrick Muldowney
Cover of the book Business Etiquette For Dummies by Patrick Muldowney
Cover of the book Intermediate Structured Finance Modeling by Patrick Muldowney
Cover of the book The Wealth of Nations by Patrick Muldowney
Cover of the book Immigrant Networks and Social Capital by Patrick Muldowney
Cover of the book Translational Genomics for Crop Breeding by Patrick Muldowney
Cover of the book Entspannen durch Meditation für Dummies Das Pocketbuch by Patrick Muldowney
Cover of the book Advanced Numerical Methods with Matlab 1 by Patrick Muldowney
Cover of the book Cult Cinema by Patrick Muldowney
Cover of the book Dim Sum Bonds by Patrick Muldowney
Cover of the book English Grammar For Dummies by Patrick Muldowney
Cover of the book The Algebra Teacher's Activity-a-Day, Grades 6-12 by Patrick Muldowney
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