A comprehensive introduction to the core issues of stochastic differential equations and their effective application Introduction to Stochastic Differential Equations with Applications to Modelling in
This book introduces a series of problems and methods insufficiently discussed in the field of Fractional Calculus – a major, emerging tool relevant to all areas of scientific inquiry. The authors pre
This textbook takes a modeling and computing approach to updating the Elementary or Ordinary Differential Equations Course. The "age of computing" is upon us and we need to develop new courses and met
The book takes a problem solving approach, displaying equations, explanations, plots etc. with minimal input. The goal is to have a source that can be used independently (or in conjunction with a text
This book provides a first, basic introduction into the valuation of financial options via the numerical solution of partial differential equations (PDEs). It provides readers with an easily accessibl
This book is addressed to mathematics and physics students who want to develop an interdisciplinary view of mathematics, from the age of Riemann, Poincaré and Darboux to basic tools of modern mathemat
This book deals with complex theory of differential equations or more precisely, with the theory of differential equations on complex-analytic manifolds.The theory of differential equations on real ma
Designed for students without an analysis background, this textbook provides a balanced presentation of partial differential equations through modern methods that do not require knowledge beyond vecto
For one-semester sophomore- or junior-level courses in Differential Equations. An introduction to the basic theory and applications of differential equations
This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offer
