In order to work with varying levels of engineering and physicsresearch, it is important to have a firm understanding of keymathematical concepts such as advanced calculus, differentialequations, complex analysis, and introductory mathematical physics.Essentials of Mathematical Methods in Science andEngineering provides a comprehensive introduction to thesemethods under one cover, outlining basic mathematical skills whilealso encouraging students and practitioners to develop new, interdisciplinary approaches to their research.
The book begins with core topics from various branches ofmathematics such as limits, integrals, and inverse functions.Subsequent chapters delve into the analytical tools that arecommonly used in scientific and engineering studies, includingvector analysis, generalized coordinates, determinants andmatrices, linear algebra, complex numbers, complex analysis, andFourier series. The author provides an extensive chapter onprobability theory with applications to statistical mechanics andthermodynamics that complements the following chapter oninformation theory, which contains coverage of Shannon's theory, decision theory, game theory, and quantum information theory. Acomprehensive list of references facilitates further exploration ofthese topics.
Throughout the book, numerous examples and exercises reinforcethe presented concepts and techniques. In addition, the book is ina modular format, so each chapter covers its subject thoroughly andcan be read independently. This structure affords flexibility forindividualizing courses and teaching.
Providing a solid foundation and overview of the variousmathematical methods and applications in multidisciplinaryresearch, Essentials of Mathematical Methods in Science andEngineering is an excellent text for courses in physics, science, mathematics, and engineering at the upper-undergraduateand graduate levels. It also serves as a useful reference forscientists and engineers who would like a practical review ofmathematical methods.