Differential Equations & Nonlinearity

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Differential Equations with Applications and Historical Notes, Third Edition


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...

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...

Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems

Andrei D. Polyanin, Valentin F. Zaitsev
November 03, 2017

The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field...

Dictionary of Analysis, Calculus, and Differential Equations

Douglas N. Clark
November 03, 2017

Clear, rigorous definitions of mathematical terms are crucial to good scientific and technical writing-and to understanding the writings of others. Scientists, engineers, mathematicians, economists, technical writers, computer programmers, along with teachers, professors, and students, all have the...

Nonlinear Reaction-Diffusion-Convection: Lie and Conditional Symmetry, exact Solutions and Their Applications

Roman Cherniha, Mykola Serov, Oleksii Pliukhin
October 19, 2017

It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and...

Applied Differential Equations with Boundary Value Problems

Vladimir Dobrushkin
October 16, 2017

Applied Differential Equations with Boundary Value Problems presents a contemporary treatment of ordinary differential equations (ODEs) and an introduction to partial differential equations (PDEs), including their applications in engineering and the sciences. This new edition of the author’s...

Optimization and Differentiation

Simon Serovajsky
October 13, 2017

Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal...