A First Course in Mathematical Physics
The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers.
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Vectors in ℝ3
Functions of Several Variables
Vector Fields and Operators
Functions of a Complex Variable
A Very Short Introduction
An Informal Treatment of Variational Principles
A Conic Sections
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0x dy 2016 by Wiley-VCH 2016 Wiley-VCH Verlag analytic Assume atom boundary Cartesian coordinates charge Colm T Whelan complex numbers components Consider constant converges cosh Course in Mathematical curve deduce define Definition differential equation divergence theorem dºr Edward Whelan eigenvalues eigenvectors electric field electron energy Example exp(x Figure fluid follows force four-vector given Hence inertial frame infinitesimal interval KGaA Lemma line integral linear loop Lorentz transformation magnetic field mass Mathematical Physics matrix measurement momentum nonzero operator orbit oscillator parallelepiped path photon polar coordinates positive potential power series problem Proof Published 2016 quantum mechanics radius result right-hand rule rotation scalar Schrödinger equation self-adjoint self-adjoint operator Show sinh ſº solution speed spin Stern–Gerlach surface unit vectors variable vector field vector space velocity wavefunction x–y plane zero 𝜖 𝜃 𝜙