Generalized Calculus with Applications to Matter and Forces

by Luis Manuel Braga de Costa Campos

Overview

Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces examines generalized functions, including the Heaviside unit jump and the Dirac unit impulse and its derivatives of all orders, in one and several dimensions. The text introduces the two main approaches to genera

Product Details

ISBN-13:	9781040178027
Publisher:	CRC Press
Publication date:	04/18/2014
Series:	Mathematics and Physics for Science and Technology
Sold by:	Barnes & Noble
Format:	eBook
Pages:	885
File size:	4 MB

About the Author

Considered one of Europe's leading applied mathematicians, Luis Manuel Braga de Costa Campos has authored 9 books, 129 papers in 56 journals, and 203 communications to symposia. He holds 2 patents in the US and UK and has been involved in over 40 research projects with international external funding. Dr. Campos also received the Von Karman Medal from the NATO Advisory Group for Aerospace Research and Development (AGARD) and Research and Technology Organization (RTO). Participation in AGARD/RTO included a vice-chairmanship of the System Concepts and Integration Panel, chairmanship of the Flight Mechanics and Flight Vehicle Integration Panels, and membership in the Flight Test Techniques Working Group.

Table of Contents

List of Classifications, Diagrams, Lists, Notes, and Tables. Mathematical Symbols. Physical Quantities. Limit of a Sequence of Functions. Shape of a Loaded String. Functionals over Test Functions. Bending of Bars and Beams. Differential Operators and Geometry. Axisymmetric Flows and Four Sphere Theorems. Convolution, Reciprocity, and Adjointness. Electric/Magnetic Multipoles and Images. Multidimensional Harmonic Potentials. Twenty Examples.

Editorial Reviews

"... strongly application oriented. ... The language (text, figures) of the book is precise, attractive, inspiring, and very readable. The book is strongly recommended for students, teachers, and scientists. It is very good for self-study."
—Zentralblatt MATH 1297

"Engineers looking for detailed approaches to the use of distributions in solving problems will certainly want to dip into this text. It certainly satisfies its stated aim…"
—MAA Reviews

From the Publisher