Can I read Differential and Difference Equations on EtoBox?

Differential and Difference Equations by Louis Brand is a nonfiction available to read on EtoBox.

What is Differential and Difference Equations about?

This preface explains the motivation and structure of a book about differential equations, emphasizing the deep connections between differential and difference equations. The author, inspired by a course taught by Maxime Bocher at Harvard, systematically explores these analogies throughout the book, drawing parallels in theorems, methods, and even operational approaches to solutions. The preface highlights specific examples of these analogies, such as: * The correspondence between the exponential shift `f(D)e^(aX)r = e^(aX)f(D + a)r` for differential equations and the power shift `f(E)a^(X)r = a^(X)f(aE)r` for difference equations. * The parallel roles of the operational formulas `(D - a)^(-1) = e^(ax) D^(-1)e^(-ax)` and `(E - a)^(-1) = a^(X-1)Δ^(-1)a^(-X)` in the respective theories. * The correspondence between the Laplace transform for differential equations and the Maclaurin (or Laurent) transform for difference equations. The author also details how the book leverages these analogies to simplify and illuminate various aspects of differential equations, including: * Series solutions using the operator `δ = xD`. * Sturm-Liouville systems and generating functions. * Numerical so

Who reads Differential and Difference Equations?

Author

Louis Brand

Publisher

John Wiley & Sons

Published

1966

Language

EN

Category

nonfiction

Subjects

Mathematics, Stem