Applied Mathematics for Scientists and Engineers by Raffoul, Youssef N. instant download

Applied Mathematics for Scientists and Engineers by Raffoul, Youssef N. instant download

Mathematicians, physicists, engineers, biologists, and other scientists who study related fields frequently use differential equations, linear algebra, calculus of variations, and integral equations. The purpose of Applied Mathematics for Scientists and Engineers is to provide a concise and well-organized study of the theoretical foundations for the development of mathematics and problem-solving methods. A wide range of solution strategies are shown for real-world challenges. The author's main objective is to provide as many examples as possible to help make the theory reflected in the theorems more understandable. The book's five chapters can be used to create a one-semester course as well as for self-study. The only prerequisites are a basic understanding of calculus and differential equations. The five main topics include: Ordinary differential equations Partial differential equations Matrices and systems of linear equations Calculus of variations Integral equations The author strikes a balance between rigor and presentation of very challenging content in a simple format by adopting approachable notations and using numerous examples to clarify complex themes. Exercises are included at the end of each section. They range from simple computations to more challenging problems.