“Mathematical Physics” by Erik Westwig is a comprehensive textbook for undergraduate students in mathematics and physics, covering a wide range of topics in mathematical physics. It emphasizes the use of mathematical tools that are commonly used in solving real-world problems by scientists and engineers.
The book begins with an introduction to vector and tensor algebra, followed by curvilinear coordinates, complex variables, Fourier series and transforms, differential equations, and Laplace’s equation. It then moves on to cover topics such as the Dirac delta function, multivalued functions, contravariant and covariant tensors, group theory, and the calculus of variations.
This second edition of “Mathematical Physics” includes a new appendix on variational calculus, making it even more valuable for students who are interested in studying mathematical physics and engineering. The author, Erik Westwig, has a strong background in both mathematics and physics and has written this book with great care and attention to detail.
Электронная Книга «Mathematical Physics» написана автором Erik Westwig A. в году.
Минимальный возраст читателя: 0
Язык: Английский
ISBN: 9783527618149
Описание книги от Erik Westwig A.
What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. This expanded second edition contains a new appendix on the calculus of variation – a valuable addition to the already superb collection of topics on offer. This is an ideal text for upper-level undergraduates in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry. Worked out examples appear throughout the book and exercises follow every chapter. Solutions to the odd-numbered exercises are available for lecturers at www.wiley-vch.de/textbooks/.
