A Course in Mathematical Methods for Physicists
Auteur : Herman Russell L.
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
Introduction and Review. Free Fall and Harmonic Oscillators. Linear Algebra. Nonlinear Dynamics. The Harmonics of Vibrating Strings. Non-sinusoidal Harmonics and Special Functions. Complex Representations of Functions. Transform Techniques in Physics. Vector Analysis and EM Waves. Extrema and Variational Calculus. Problems in Higher Dimensions. Review of Sequences and Infinite Series.
Date de parution : 01-2014
21x28 cm
Date de parution : 07-2017
21x28 cm
Thèmes d’A Course in Mathematical Methods for Physicists :
Mots-clés :
Equilibrium Point; Nonlinear Pendulum; undergraduate physics; Lotka Volterra System; waves and oscillations; Bifurcation Diagram; mathematical methods; Duffing Equation; Limit Cycle; Van Der Pol System; Equilibrium Solutions; Phase Lines; Fixed Point; Elliptic Modulus; Elliptic Integral; Subcritical Pitchfork Bifurcation; Saddle Node Bifurcation
