# [PDF] Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications (Dover Books on Mathematics)

#### ISBN: 0486654796

#### Category: Tutorial

Posted on 2017-10-28, by luongquocchinh.

Description

Author: A.H. Zemanian | Publisher: Dover Publications | Category: Mathematics | Language: English | Page: 400 | ISBN: 0486654796 | ISBN13: 9780486654799 |

**Description:**Distribution theory, a relatively recent mathematical approach to classical Fourier analysis, not only opened up new areas of research but also helped promote the development of such mathematical disciplines as ordinary and partial differential equations, operational calculus, transformation theory, and functional analysis. This text was one of the first to give a clear explanation of distribution theory it combines the theory effectively with extensive practical applications to science and engineering problems. Based on a graduate course given at the State University of New York at Stony Brook, this book has two objectives: to provide a comparatively elementary introduction to distribution theory and to describe the generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations, and passive systems. After an introductory chapter defining distributions and the operations that apply to them, Chapter 2 considers the calculus of distributions, especially limits, differentiation, integrations, and the interchange of limiting processes. Some deeper properties of distributions, such as their local character as derivatives of continuous functions, are given in Chapter 3. Chapter 4 introduces the distributions of slow growth, which arise naturally in the generalization of the Fourier transformation. Chapters 5 and 6 cover the convolution process and its use in representing differential and difference equations. The distributional Fourier and Laplace transformations are developed in Chapters 7 and 8, and the latter transformation is applied in Chapter 9 to obtain an operational calculus for the solution of differential and difference equations of the initial-condition type. Some of the previous theory is applied in Chapter 10 to a discussion of the fundamental properties of certain physical systems, while Chapter 11 ends the book with a consideration of periodic distributions. Suitable for a graduate course for engineering and science students or for a senior-level undergraduate course for mathematics majors, this book presumes a knowledge of advanced calculus and the standard theorems on the interchange of limit processes. A broad spectrum of problems has been included to satisfy the diverse needs of various types of students.

Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications (Dover Books on Mathematics).pdf

https://filejoker.net/yem9tzar9k0f

Sponsored High Speed Downloads

6793 dl's @ 3765 KB/s

**Download Now**[Full Version]

7065 dl's @ 3173 KB/s

**Download Link 1**- Fast Download

8322 dl's @ 2505 KB/s

**Download Mirror**- Direct Download

Search More...

**[PDF] Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications (Dover Books on Mathematics)**

Links

Download this book

No active download links here?

Please check the description for download links if any or do a search to find alternative books.Related Books

- Ebooks list page : 32845
- 2009-07-13[request]
*Distribution Theory and Transform Analysis*: An*Introduction*to*Generalized Functions*,*with Applications* - 2017-10-20[
*PDF*] Vector*and*Tensor*Analysis with Applications*(*Dover Books*on*Mathematics*) - 2018-01-31[
*PDF*] Complex*Analysis with Applications*(*Dover Books*on*Mathematics*) - 2018-01-01[
*PDF*] Optimization*Theory with Applications*(*Dover Books*on*Mathematics*) - 2011-10-02Geometric
*Theory*of*Generalized Functions with Applications*to General Relativity (*Mathematics and*Its*Applications*) - 2018-01-26[
*PDF*] Calculus of Variations*with Applications*(*Dover Books*on*Mathematics*) - 2018-01-10[
*PDF*] Special*Functions*& Their*Applications*(*Dover Books*on*Mathematics*) - 2017-12-18[
*PDF*] Foundations of Combinatorics*with Applications*(*Dover Books*on*Mathematics*) - 2017-11-17[
*PDF*] Essential Calculus*with Applications*(*Dover Books*on*Mathematics*) - 2017-11-27[
*PDF*] The*Analysis*of Linear Partial Differential Operators I:*Distribution Theory and*Fourier*Analysis*(Classics in*Mathematics*) -*Removed* - 2018-01-28[
*PDF*] Location*Theory and*Decision*Analysis*: Analytics of Spatial Information Technology -*Removed* - 2018-01-24[
*PDF*] Game*Theory and*Economic*Analysis*: A Quiet Revolution in Economics (Routledge Advances in Game*Theory*) - 2018-01-16[
*PDF*] Graph*Theory and*Complex Networks: An*Introduction* - 2017-12-31[
*PDF*] Representation*Theory and*Harmonic*Analysis*of Wreath Products of Finite Groups (London Mathematical Society Lecture Note Series) - 2017-12-28[
*PDF*] Representation*Theory and*Harmonic*Analysis*on Semisimple Lie Groups (Mathematical Surveys*and*Monographs) - 2017-12-26[
*PDF*] String*Theory and*Particle Physics: An*Introduction*to String Phenomenology - 2017-12-24[
*PDF*] Cultural*Theory and*Popular Culture: An*Introduction* - 2017-12-12[
*PDF*] Model*Theory and*Algebraic Geometry: An*introduction*to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in*Mathematics*) -*Removed* - 2017-12-12[
*PDF*] Model*Theory and*Algebraic Geometry: An*introduction*to E. Hrushovski's proof of the geometric Mordell-Lang conjecture (Lecture Notes in*Mathematics*) -*Removed*

Comments

**No comments for "[PDF] Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications (Dover Books on Mathematics)"**.

Add Your Comments

- Download links and password may be in the description section, read description carefully!
- Do a search to find mirrors if no download links or dead links.