Kategoria BISAC: Mathematics >> Counting & Numeration

This book considers specific inferential issues arising from the analysis of dynamic shapes with the attempt to solve the problems at hand using probability models and nonparametric tests. The models are simple to understand and interpret and provide a useful tool to describe the global dynamics of the landmark configurations. However, because of the non-Euclidean nature of shape spaces, distributions in shape spaces are not straightforward to obtain.

The book explores the use of the Gaussian distribution in the configuration space, with similarity transformations integrated out....

This new edition is a concise introduction to the basic methods of computational physics. Readers will discover the benefits of numerical methods for solving complex mathematical problems and for the direct simulation of physical processes.

The book is divided into two main parts: Deterministic methods and stochastic methods in computational physics. Based on concrete problems, the first part discusses numerical differentiation and integration, as well as the treatment of ordinary differential equations. This is extended by a brief introduction to the numerics of partial...

Over the last decade, it has become increasingly affordable to digitize shape information at high resolution. Yet analyzing and processing this data remains challenging because of the large amount of data involved, and because modern applications such as human-computer...

Continuous Issues in Numerical Cognition: How Many or How Much re-examines the widely accepted view that there exists a core numerical system within human beings and an innate ability to perceive and count discrete quantities. This core knowledge involves the brain's intraparietal sulcus, and a deficiency in this region has traditionally been thought to be the basis for arithmetic disability. However, new research findings suggest this wide agreement needs to be examined carefully and that perception of sizes and other non-countable amounts may be the true precursors of numerical...

The work collects the most valuable results presented at the Congress on Differential Equations and Applications (CEDYA) given in Cadiz in 2015. It supports further research in Differential Equations, Numerical Analysis, Mechanics, Control and Optimization. In particular, it brings readers to gain an overview of specific problems of interest in the current mathematical research related to Partial Differential Equations, Ordinary Differential Equations, Numerical Analysis and Numerical Simulation, Control and Optimization, Numerical Linear Algebra, Dynamical Systems, Applied Mathematics for...

Leonardo wrote, "Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics"; replace "Mechanics" by "Fluid mechanics" and here we are.
- From the Preface to the Second Edition

Although the exponential growth of computer power has advanced the importance of simulations and visualization tools for elaborating new models, designs and technologies, the discipline of fluid mechanics is still large, and turbulence in flows remains a challenging problem in classical physics. Like its predecessor, the revised and expanded Second...