The scientists, investigators and students have been in need of a textbook which provides a mathematical background at an advanced level. The present book is an attainment in this direction... the book is essential and useful for scientists, chemical engineers, and especially graduate level students in chemistry. The expert selection and masterly explanation of the material admit using this book as a reference guide, too. The construction of chemical examples and applications impress with lucidity and completeness.

• 1. Matrices and Their Application ; 2. First-Order Nonlinear Ordinary Differential Equations and Stability Theory ; 3. Theory of Linear Ordinary Differential Equations (ODEs) ; 4. Series Solutions and Special Functions ; 5. Fundamentals of Partial Differential Equations ; 6. First-Order Partial Differential Equations ; 7. Generalized Fourier Transform Methods for Linear Partial Differential Equations ; 8. Laplace Transform ; 9. Perturbation Methods