عنوان

Equations in mathematical physics :

شابک

3034882858

شابک

9783034882859

شماره

b546384

عنوان اصلي

Equations in mathematical physics :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a practical course

نام نخستين پديدآور

Victor P. Pikulin, Stanislav I. Pohozaev ; translated from the Russion by Andrei Iacob.

محل نشرو پخش و غیره

Basel ; Boston

نام ناشر، پخش کننده و غيره

Birkhäuser

تاریخ نشرو بخش و غیره

[2001] ©2001

نام خاص و کميت اثر

(viii, 206 pages) : illustrations

متن يادداشت

1. 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.

متن يادداشت

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demontstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green`s functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution. The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers.

عنوان اصلي به زبان ديگر

Prakticheskiĭ kurs po uravnenii︠a︡m matematicheskoĭ fiziki.

موضوع مستند نشده

Differential equations, Partial -- Numerical solutions.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Mathematische Physik -- Partielle Differentialgleichung.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Victor P. Pikulin, Stanislav I. Pohozaev ; translated from the Russion by Andrei Iacob.

مستند نام اشخاص تاييد نشده

S I Pokhozhaev

مستند نام اشخاص تاييد نشده

V P Pikulin

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y