by Ronald E Mickens (Clark Atlanta University, USA)

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

• Trigonometric Relations and Fourier Analysis
• Gamma, Beta, Zeta and Other Named Functions
• Qualitative Methods for Ordinary Differential Equations
• Difference Equations
• Sturm–Liouville Problems
• Special Functions and Their Properties
• Perturbation Methods for Oscillatory Systems
• Approximations of Integrals and Sums
• Some Important Nonlinear Partial Differential Equations