Differential Equations & Nonlinearity

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Differential Equations with Applications and Historical Notes


George F. Simmons
September 27, 2016

Fads are as common in mathematics as in any other human activity, and it is always difficult to separate the enduring from the ephemeral in the achievements of one’s own time. An unfortunate effect of the predominance of fads is that if a student doesn’t learn about such worthwhile topics as the...

Green's Functions with Applications

Dean G. Duffy
August 14, 2018

Since publication of the first edition over a decade ago, Green’s Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green’s function. This fully revised Second Edition retains the same purpose, but...

Ordinary Differential Equations: Applications, Models, and Computing

Charles Roberts
June 15, 2018

In the traditional curriculum, students rarely study nonlinear differential equations and nonlinear systems due to the difficulty or impossibility of computing explicit solutions manually. Although the theory associated with nonlinear systems is advanced, generating a numerical solution with a...

Revival: Numerical Solution Of Convection-Diffusion Problems (1996)

K.W. Morton
June 14, 2018

Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be...

Difference Equations: Theory, Applications and Advanced Topics, Third Edition

Ronald E. Mickens
April 09, 2018

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of...

Differential Equations: A Problem Solving Approach Based on MATLAB

P. Mohana Shankar
March 28, 2018

The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions...

An Introduction to Integral Transforms

Baidyanath Patra
February 12, 2018

An Introduction to Integral Transforms is meant for students pursuing graduate and post graduate studies in Science and Engineering. It contains discussions on almost all transforms for normal users of the subject. The content of the book is explained from a rudimentary stand point to an advanced...

Mathematical Modeling: Branching Beyond Calculus

Crista Arangala, Nicolas S. Luke, Karen A. Yokley
February 06, 2018

Mathematical Modeling: Branching Beyond Calculus reveals the versatility of mathematical modeling. The authors present the subject in an attractive manner and flexibley manner. Students will discover that the topic not only focuses on math, but biology, engineering, and both social and physical...

Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Santanu Saha Ray, Arun Kumar Gupta
January 31, 2018

The main focus of the book is to implement wavelet based transform methods for solving problems of fractional order partial differential equations arising in modelling real physical phenomena. It explores analytical and numerical approximate solution obtained by wavelet methods for both classical...

Instructors Manual to Accompany Linear Algebra and Ordinary Differential Equations

Jeffrey Jeffrey
December 08, 2017

First published in 1990....

An Illustrative Introduction to Modern Analysis

Nikolaos Katzourakis, Eugen Varvaruca
December 01, 2017

Aimed primarily at undergraduate level university students, An Illustrative Introduction to Modern Analysis provides an accessible and lucid contemporary account of the fundamental principles of Mathematical Analysis. The themes treated include Metric Spaces, General Topology, Continuity,...

Basic Partial Differential Equations

David. Bleecker
November 29, 2017

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance...

Elementary Differential Equations

Kenneth Kuttler
November 08, 2017

Elementary Differential Equations presents the standard material in a first course on differential equations, including all standard methods which have been a part of the subject since the time of Newton and the Bernoulli brothers. The emphasis in this book is on theory and methods and differential...