Distributions and Fourier Transforms. Part 2 (Goncharova O.)

Distributions and Fourier Transforms. Part 2

 Автор(ы): Goncharova O. 06.10.2007 Год изд.: 2002 Описание: Математическое хокку! Знаете ли вы что Косинус "пи пополам" Равняется ноль? :) Вот приблизительно об этом эта книга. Distributions and Fourier Transforms. Part 2 – все что Вы хотели знать о математике, но боялись спросить. Основные темы издания: Fourier Series and Fourier Transforms; Fourier – Transforms; Distribution Solutions to Differential Equations; Partial Differential Equations; Fourier Analysis. Оглавление: Обложка книги. 1 Fourier Series and Fourier Transforms [4]   1.1 From Fourier Series to Fourier Integrals [4]     1.1.1 Convergence of the Trigonometric Fourier Series [5]     1.1.2 Sine and Cosine Series [6]     1.1.3 Change of Scale [7]   1.2 The Fourier Transform [9]     1.2.1 Sine- and Cosine- Fourier Integrals [11] 2 Fourier - Transforms [13]   2.1 Introduction to the Fourier Transform of (?) - Functions [13]   2.2 Basic Definitions for Case (?) [15]   2.3 The Schwartz Class S [16]     2.3.1 Fourier Transform in (?) [18]   2.4 Computing with Fourier Transforms [19]     2.4.1 Inversion Formula in Space S(R) [19]     2.4.2 The Linearity Property [19]     2.4.3 Translation property [20]     2.4.4 Differentiation [20]     2.4.5 Convolution Product [22]   2.5 Fourier Transforms of Tempered Distributions [25]     2.5.1 Fourier Transform of Distributions with Compact Support [27]     2.5.2 Examples of the Calculation of Fourier Transforms [28] 3 Distribution Solutions to Differential Equations [32]   3.1 Distribution Solutions to Ordinary Differential Equations [32]   3.2 Ordinary Linear Differential Equations [35] 4 Partial Differential Equations [39]   4.1 Elliptic Problems [39]     4.1.1 Potential Equation [43]   4.2 Diffusion Problems [46]     4.2.1 Heat Equation in one Space Dimension [49] 5 Fourier Analysis [51]   5.1 The Riemann - Lebesgue Lemma [51]   5.2 Paley - Wiener Theorems [51]   5.3 The Poisson Summation Formula [51]   5.4 Hermite Functions [51]   5.5 Radial Fourier Transforms and Bessel Functions [51]   5.6 Integral Equations [51]   5.7 Laplace Transforms [51] Формат: djvu Размер: 202195 байт Язык: ENG Рейтинг: 232 Открыть: Ссылка (RU)