An Introduction to Differential Equations: With Difference Equations, Fourier Series, and Partial Differential Equations
The same, refined Ordinary Differential Equations with Modern Applications by Finizio and Lades is the backbone of this text. In addition to this are included applications, techniques and theory of partial difference equations, difference equations and Fourier analysis.
This graduate level textbook offers graduate students a rapid introduction to the language of the subject of ordinary differential equations followed by a careful treatment of the central topics of the qualitative theory. In addition, special attention is given to the origins and applications of differential equations in physical science and engineering. Of special interest to mathematics students is a multifaceted approach to existence theory, for solutions and for invariant manifolds....
Data Analysis in Forensic Science: A Bayesian Decision Perspective
This is the first text to examine the use of statistical methods in forensic science and bayesian statistics in combination. The book is split into two parts: Part One concentrates on the philosophies of statistical inference. Chapter One examines the differences between the frequentist, the likelihood and the Bayesian perspectives, before Chapter Two explores the Bayesian decision–theoretic perspective further, and looks at the benefits it carries.
The subject matter of this book is fundamental to all areas of mathematical analysis and should be accessible to students who are in the early stages of their professional training. An undergraduate course in real variables is a prerequisite, and an acquaintance with complex analysis is desirable. However, since no use is made of the Cauchy theory, the exposure to complex variables need not be extensive. To fully appreciate Chapters 3 and 4 some background in elementary point-set topology is essential.
Recent Developments in Applied Probability and Statistics
This book presents surveys on recent developments in applied probability and statistics. The contributions include topics such as nonparametric regression and density estimation, option pricing, probabilistic methods for multivariate interpolation, robust graphical modelling and stochastic differential equations. Due to its broad coverage of different topics the book offers an excellent overview of recent developments in applied probability and statistics.
