Azmy S. Ackleh

Differential and Difference Equations in Mathematical Biology introduces graduate and senior undergraduate students to differential and difference equations as tools for modeling biological phenomena. The book presents fundamental theory as well as recent research developments concerning the local and global analysis of continuous and discrete dynamical systems in mathematical biology. In addition to serving as a teaching text, the book is also valuable to researchers as both a reference and an introduction to the subject. Features Includes numerous exercises and examples Can serve as a primary textbook or as supplementary reading for advanced undergraduate or graduate courses in differential equations, dynamical systems, mathematical biology, and mathematical modeling Integrates research tools from ordinary differential equations (ODEs), delay differential equations (DDEs), partial differential equations (PDEs), and difference equations (DEs) in a single volume.

Differential and Difference Equations in Mathematical Biology introduces graduate and senior undergraduate students to differential and difference equations as tools for modeling biological phenomena. The book presents fundamental theory as well as recent research developments concerning the local and global analysis of continuous and discrete dynamical systems in mathematical biology. In addition to serving as a teaching text, the book is also valuable to researchers as both a reference and an introduction to the subject. Features Includes numerous exercises and examples Can serve as a primary textbook or as supplementary reading for advanced undergraduate or graduate courses in differential equations, dynamical systems, mathematical biology, and mathematical modeling Integrates research tools from ordinary differential equations (ODEs), delay differential equations (DDEs), partial differential equations (PDEs), and difference equations (DEs) in a single volume.

Classical and Modern Numerical Analysis: Theory, Methods and Practice provides a sound foundation in numerical analysis for more specialized topics, such as finite element theory, advanced numerical linear algebra, and optimization. It prepares graduate students for taking doctoral examinations in numerical analysis.The text covers the main areas of introductory numerical analysis, including the solution of nonlinear equations, numerical linear algebra, ordinary differential equations, approximation theory, numerical integration, and boundary value problems. Focusing on interval computing in numerical analysis, it explains interval arithmetic, interval computation, and interval algorithms. The authors illustrate the concepts with many examples as well as analytical and computational exercises at the end of each chapter.This advanced, graduate-level introduction to the theory and methods of numerical analysis supplies the necessary background in numerical methods so that students can apply the techniques and understand the mathematical literature in this area. Although the book is independent of a specific computer program, MATLAB® code is available on the authors' website to illustrate various concepts.