This book is an interdisciplinary introduction to optical collapse of laser beams, which is modelled by singular (blow-up) solutions of the nonlinear...
Category - MATHEMATICS BOOKS
Recent years have seen considerable research activity at the interface of mathematics and fluid mechanics, particularly partial differential equations. The...
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics...
Undergraduate courses on partial differential equations (PDEs) have traditionally been based on the Fourier series method for analysing and solving PDEs. What...
During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated...
This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through...
The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics...
A concise introduction to numerical methodsand the mathematical framework neededto understand their performance Numerical Solution of Ordinary Differential...
Mathematical Physics with Partial Differential Equations, Second Edition, is designed for upper division undergraduate and beginning graduate students taking...
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...