'This book is written for engineers and scientists as well as undergraduates with engineering and physical sciences. It covers a range of fundamental mathematics including Linear Algebra, Complex Variables, and Partial Differential Equations. The book features a lot of examples to explain concepts, theorems, and application math skills. It can also be used by graduate students as a reference book to advance in their engineering studies and practice.' Shensheng Tang, St Cloud State University
Part I. Linear Algebra: 1. Linear algebra and finite dimensional vector spaces; 2. Linear transformations; 3. Application to systems of equations; 4. The spectrum of eigenvalues; Part II. Complex Variables: 5. Basic concepts: 6. Analytic functions of a complex variable; 7. The Cauchy integral theorems; 8. Series expansions and contour integration; Part III. Partial Differential Equations: 9. Linear partial differential equations; 10. Linear ordinary differential equations; 11. Green's functions for ordinary differential equations; 12. Poisson's equation and Green's functions; 13. Combined Green's function and eigenfunction methods; Bibliography; Index.