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Ordinary Differential Equations
Ordinary Differential Equations
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton’s Interpolation Formulas,...
Curves and Singularities
Curves and Singularities
The object of this book is to introduce to a new generation of students an area of mathematics that has received a tremendous impetus during the last twenty years or so from developments in singularity theory.

The differential geometry of curves, families of curves and surfaces in Euclidean space has fascinated mathematicians and users
...
Neural Networks with Discontinuous/Impact Activations (Nonlinear Systems and Complexity)
Neural Networks with Discontinuous/Impact Activations (Nonlinear Systems and Complexity)

This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural...

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Learn how to solve complex differential equations using MATLAB®

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB...

Computer-Based Numerical & Statistical Techniques (with CD-ROM)(Mathematics)
Computer-Based Numerical & Statistical Techniques (with CD-ROM)(Mathematics)
T he limitations of analytical methods in practical applications have led mathematicians to evolve numerical methods. We know that exact methods often fail in drawing plausible inferences from a given set of tabulated data or in finding roots of transcendental equations or in solving non-linear differential equations.

Even if analytical
...
Partial Differential Equation Analysis in Biomedical Engineering: Case Studies with Matlab
Partial Differential Equation Analysis in Biomedical Engineering: Case Studies with Matlab

Aimed at graduates and researchers, and requiring only a basic knowledge of multi-variable calculus, this introduction to computer-based partial differential equation (PDE) modeling provides readers with the practical methods necessary to develop and use PDE mathematical models in biomedical engineering. Taking an applied approach, rather...

S+Functional Data Analysis User's Guide
S+Functional Data Analysis User's Guide
S+Functional Data Analysis is the first commercial object oriented package for exploring, modeling, and analyzing functional data. Functional data analysis (FDA) handles longitudinal data and treats each observation as a function of time (or other variable). The functions are related. The goal is to analyze a sample of functions instead of a...
Thermal Methods of Polymer Analysis
Thermal Methods of Polymer Analysis

This book reviews the various thermal methods used for the characterisation of polymer properties and composition. All these methods study the properties of polymers as they change with temperature. The methods discussed in this book are: differential photocalorimetry, differential scanning calorimetry, dielectric thermal analysis,...

Modeling of Curves and Surfaces with MATLAB®
Modeling of Curves and Surfaces with MATLAB®

This text on geometry modeling is devoted to a number of central geometrical topics— graphs of functions, transformations, (non-)Euclidean geometries, curves and surfaces— and presents some elementary methods for analytical modeling and visualization of them.

In 1872 F. Klein proposed his Erlangen Programme in...

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)
Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.

Many of the tools used in differential topology are introduced and the
...

Numerical Methods for Engineers and Scientists Using MATLAB®
Numerical Methods for Engineers and Scientists Using MATLAB®

Designed to benefit scientific and engineering applications, Numerical Methods for Engineers and Scientists Using MATLAB® focuses on the fundamentals of numerical methods while making use of MATLAB software. The book introduces MATLAB early on and incorporates it throughout the chapters to perform symbolic,...

Cells and Robots: Modeling and Control of Large-Size Agent Populations (Springer Tracts in Advanced Robotics)
Cells and Robots: Modeling and Control of Large-Size Agent Populations (Springer Tracts in Advanced Robotics)
From the reviews:

"This interesting monograph is devoted to the study of multi-agent, populations of biological cells and robot teams. … The main objective of the approach is to provide solutions to the problem of how dynamics of an individual agent propagates to the population dynamics. … This original monograph has a wide...

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