{"product_id":"equations-in-mathematical-physics-a-practical-course-hardcover","title":"Equations in Mathematical Physics: A Practical Course - Hardcover","description":"\u003cp\u003eby \u003cb\u003eV. P. Pikulin\u003c\/b\u003e (Author), \u003cb\u003eS. Pohozaev\u003c\/b\u003e (Author), \u003cb\u003eStanislav I. Pohozaev\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e1. Elliptic problems.- 1.1 The Dirichlet problem for the Laplace equation in an annulus.- 1.2 Examples of Dirichlet problems in an annulus.- 1.3 The interior and exterior Dirichlet problems.- 1.4 The Poisson integral for the disc. Complex form. Solution of the Dirichlet problem when the boundary condition is a rational function R(sin ?, cos ?).- 1.5 The interior and exterior Dirichlet problems.- 1.6 Boundary value problems for the Poisson equation in a disc and in an annulus.- 1.7 Boundary value problems for the Laplace and Poisson equations in a rectangle.- 1.8 Boundary value problems for the Laplace and Poisson equations in a bounded cylinder.- 1.9 Boundary value problems for the Laplace and Poisson equations in a ball.- 1.10 Boundary value problems for the Helmholtz equations.- 1.11 Boundary value problem for the Helmoltz equation in a cylinder.- 1.12 Boundary value problems for the Helmoltz equation in a disc.- 1.13 Boundary value problems for the Helmoltz equation in a ball.- 1.14 Guided electromagnetic waves.- 1.15 The method of conformal mappings (for the solution of boundary value problems in the plane).- 1.16 The Green function method.- 1.17 Other methods.- 1.18 Problems for independent study.- 1.19 Answers.- 2. Hyperbolic problems.- 2.1 The travelling-wave method.- 2.2 The method of selection of particular solutions.- 2.3 The Fourier integral transform method.- 2.4 The Laplace integral transform met hod.- 2.5 The Hankel integral transform method.- 2.6 The method of standing waves. Oscillations of a bounded string.- 2.7 Some examples of mixed problems for the equation of oscillations of a string.- 2.8 The Fourier method. Oscillations of a rectangular membrane.- 2.9 The Fourier method. Oscillations of a circular membrane.- 2.10 The Fourier method. Oscillations of a beam.- 2.11 The perturbation method.- 2.12 Problems for independent study.- 2.13 Answers.- Chaper 3. Parabolic problems.- 3.1 The Fourier integral transform method.- 3.2 The Lapalce integral transform method.- 3.3 The Fourier method (method of separation of variables).- 3.4 A modification of the method of separation of variables for solving the Cauchy problem.- 3.5 Problems for independent study.- 3.6 Answers.- References.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 220\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.56 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e August 24, 2001\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42711306764351,"sku":"9783764365011","price":160.38,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/5cb372f21a34dca892d087d7586d8787.webp?v=1765058036","url":"https:\/\/dhl-adrianne.myshopify.com\/products\/equations-in-mathematical-physics-a-practical-course-hardcover","provider":"BBB","version":"1.0","type":"link"}