Applied Mathematics for Scientists and Engineers

After many years of teaching graduate courses, he saw a need among his students for a book reviewing topics from undergraduate courses. To help them recall what they had learned, students have long urged the author to publish a brief and approachable book on the topic of applied mathematics. The author's lecture notes for a graduate course in Applied Mathematical Methods, which comprises three chapters on Linear Algebra, Calculus of Variations, and Integral Equations, served as the foundation for this work. These notes have undergone continuous revision. The book is designed to be used as a graduate textbook for one semester. The five chapters in the book can be used by the instructor to create a one-semester, three-chapter course. The only prerequisites for this self-contained book are a basic understanding of calculus and differential equations. In order to make the book accessible to a broad audience, the author endeavored to strike a balance between rigor and presenting the most challenging content in a simple format by adopting friendlier, more approachable notations and using numerous examples to clarify complex themes. The hope is both instructors and students will find, in this single volume, a refresher on topics necessary to further their courses and study.