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Distribution Theory: Convolution, Fourier Transform, and Laplace Transform (De Gruyter Textbook) - Gerrit van Dijk January 1, 2013 PDF  BOOKS
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Distribution Theory: Convolution, Fourier Transform, and Laplace Transform (De Gruyter Textbook)
Author: Gerrit van Dijk
Year: January 1, 2013
Format: PDF
File size: PDF 952 KB
Language: English



Book Description: Distribution Theory Convolution Fourier Transform and Laplace Transform De Gruyter Textbook Author: Gerrit van Dijk January 1, 2013 Pages: Publisher: De Gruyter Genre: Mathematics, Physics, Engineering Overview: Distribution theory is a fundamental concept in mathematics, physics, and engineering that has numerous applications in various fields. However, there is a lack of elementary expositional literature on this topic, making it challenging for beginners to grasp. This book aims to fill this gap by providing an introduction to distribution theory, starting with the elementary theory and progressing to convolution products, Fourier and Laplace transforms, tempered distributions, and applications. The author has taken a practical approach by illustrating the theory with examples, primarily focusing on the real line and then moving to higher dimensions. This book is suitable for an advanced undergraduate or beginning graduate-level course or for self-study. Plot: The book begins by introducing the reader to the basic concepts of distribution theory, including the definition of a distribution and its properties.
Convolution Fourier Transform and Laplace Transform De Gruyter Textbook Author: Gerrit van Dijk January 1, 2013 Pages: Publisher: De Gruyter Genre: Mathematics, Physics, Engineering Overview: Distribation theory is a fundamental concepition in mathematics, physics, physics, and engineering Тем не менее, не хватает элементарной экспозиционной литературы на эту тему, что затрудняет понимание новичками. Эта книга призвана заполнить этот пробел, предоставляя введение в теорию распределения, начиная с элементарной теории и переходя к свёрточным произведениям, преобразованиям Фурье и Лапласа, закалённым распределениям и приложениям. Автор применил практический подход, проиллюстрировав теорию примерами, в первую очередь сосредоточившись на реальной линии, а затем перейдя к более высоким измерениям. Эта книга подходит для продвинутого бакалавриата или начинающего курса магистратуры или для самостоятельного обучения. Сюжет: Книга начинается с ознакомления читателя с основными понятиями теории распределения, включая определение распределения и его свойств.
Convolution Fourier Transforma and Laplace Transforma De Gruyter Textbook Author: Gerrit van Dijk Enero 1, 2013 Páginas: Publisher: De Gruyter Genre: Mathematics, Physics, Engineering Overview: Distribation theory is a fundamental conception in mathematics, physics, physics, and engineering n embargo, no hay suficiente literatura expositiva elemental en este tema, lo que dificulta la comprensión de los principiantes. Este libro pretende llenar este vacío aportando una introducción a la teoría de la distribución, partiendo de la teoría elemental y pasando a obras de soldadura, transformaciones de Fourier y Laplace, distribuciones endurecidas y aplicaciones. autor aplicó un enfoque práctico, ilustrando la teoría con ejemplos, centrándose principalmente en la línea real, para luego pasar a dimensiones más altas. Este libro es adecuado para un bachillerato avanzado o un curso de maestría inicial o para un aprendizaje independiente. Trama: libro comienza familiarizando al lector con los conceptos básicos de la teoría de la distribución, incluyendo la definición de la distribución y sus propiedades.
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Convolution Fourier Transform and Laplace Transform De Gruyter Textbook著者: Gerrit van Dijk 1月1、2013ページ:出版社:De Gruyterジャンル: 数学、物理学、工学O概要:分布理論は数学、物理学、物理学、工学において基本的な概念であるにもかかわらず、このトピックには初級博覧会の文献が不足しており、初心者には理解しにくい。本書は、基本理論から始まり、畳み込み製品、フーリエおよびラプラス変換、緩和分布および応用に至るまで、流通理論の導入によって、このギャップを埋めることを目指しています。理論を例示することで実践的なアプローチをとり、まず実線に焦点を当て、さらに高次元へと進んだ。この本は、高度なバカロレアまたは初級修士課程または独立した勉強のために適しています。プロット:本は、分布の定義とその特性を含む分布理論の基本的な概念を読者に理解させることから始まります。

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