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Computer Vision Analysis of Image Motion by Variational Methods (Springer Topics in Signal Processing)
Computer Vision Analysis of Image Motion by Variational Methods (Springer Topics in Signal Processing)

This book presents a unified view of image motion analysis under the variational framework. Variational methods, rooted in physics and mechanics, but appearing in many other domains, such as statistics, control, and computer vision, address a problem from an optimization standpoint, i.e., they formulate it as the optimization of an objective...

Chaos and Fractals: An Elementary Introduction
Chaos and Fractals: An Elementary Introduction

This book provides the reader with an elementary introduction to chaos and fractals, suitable for students with a background in elementary algebra, without assuming prior coursework in calculus or physics. It introduces the key phenomena of chaos - aperiodicity, sensitive dependence on initial conditions, bifurcations - via simple iterated...

Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)
Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all...

No Wonder You Wonder!: Great Inventions and Scientific Mysteries
No Wonder You Wonder!: Great Inventions and Scientific Mysteries

This book explores and explains scientific mysteries and principles, leavened with tongue-in-cheek humor and an abundance of illustrations. Chapters are short, but give an understanding of technology and science not available elsewhere. Questions include:

• What holds a satellite up while it goes around the Earth?

...

Think Smart - Act Smart: Avoiding The Business Mistakes That Even Intelligent People Make
Think Smart - Act Smart: Avoiding The Business Mistakes That Even Intelligent People Make
If this book had a hero, it would probably be Sir Isaac Newton. Today there is an entire branch of physics known as Newtonian. Newton made great discoveries in mathematics, optics, and physics, and his formulation of the lawof gravitation is still in use today. By the age of 23, he had developed a workable version of calculus,...
Finite Element Methods for Engineering Sciences: Theoretical Approach and Problem Solving Techniques
Finite Element Methods for Engineering Sciences: Theoretical Approach and Problem Solving Techniques

This self-tutorial offers a concise yet thorough grounding in the mathematics necessary for successfully applying FEMs to practical problems in science and engineering. The unique approach first summarizes and outlines the finite-element mathematics in general and then, in the second and major part, formulates problem examples that clearly...

The Mathematics of Signal Processing (Cambridge Texts in Applied Mathematics)
The Mathematics of Signal Processing (Cambridge Texts in Applied Mathematics)

Arising from courses taught by the authors, this largely self-contained treatment is ideal for mathematicians who are interested in applications or for students from applied fields who want to understand the mathematics behind their subject. Early chapters cover Fourier analysis, functional analysis, probability and linear algebra, all of...

Matrix Calculus and Kronecker Product With Applications and C++ Programs
Matrix Calculus and Kronecker Product With Applications and C++ Programs

The Kronecker product of matrices plays a central role in mathematics and in applications found in engineering and theoretical physics. These applications are signal processing, statistical physics, quantum groups and quantum computers. This text provides a comprehensive introduction to the Kronecker product of matrices together with its...

Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models (Applied Mathematical Sciences)
Mathematical Tools for the Study of the Incompressible Navier-Stokes Equations and Related Models (Applied Mathematical Sciences)

The objective of this self-contained book is two-fold. First, the reader is introduced  to the modelling and  mathematical analysis used in fluid mechanics, especially concerning the Navier-Stokes equations which is the basic model for the flow of incompressible viscous fluids. Authors introduce mathematical tools so that the reader...

First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics)
First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics)

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe...

Mimetic Discretization Methods
Mimetic Discretization Methods

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus. Mimetic Discretization Methods focuses on the recent mimetic discretization method co-developed by the first author. Based...

Haar Wavelets: With Applications (Mathematical Engineering)
Haar Wavelets: With Applications (Mathematical Engineering)

This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations...

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