A Course in Mathematical Methods for Physicists

Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for th [...]
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Based on the author's junior-level undergraduate course, this introductory textbook is designed for a course in mathematical physics. Focusing on the physics of oscillations and waves, A Course in Mathematical Methods for Physicists helps students understand the mathematical techniques needed for their future studies in physics. It takes a bottom-up approach that emphasizes physical applications of the mathematics. The book offers: * A quick review of mathematical prerequisites, proceeding to applications of differential equations and linear algebra * Classroom-tested explanations of complex and Fourier analysis for trigonometric and special functions * Coverage of vector analysis and curvilinear coordinates for solving higher dimensional problems * Sections on nonlinear dynamics, variational calculus, numerical solutions of differential equations, and Green's functions