This monograph is devoted to computational morphology, particularly to the construction of a two-dimensional or a three-dimensional closed object boundary through a set of points in arbitrary position.By applying techniques from computational geometry and CAGD, new results are developed in four stages of the construction process: (a) the gamma-neighborhood graph for describing the structure of a set of points; (b) an algorithm for constructing a ...

This self-contained book is devoted to the study of the acoustic wave equations and the Maxwell system, the two most common waves equations that are encountered in physics or engineering. It presents a detailed analysis of their mathematical and physical properties. In particular the author focuses on the study of the harmonic exterior problems, building a mathematical framework which provides the existence and uniqueness of the solutions. This ...

The aim of this book is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple, yet rich, class of examples, that is, those described by delay differential equations. It is a textbook giving detailed proofs and providing many exercises, which is intended both for self-study and for courses at a graduate level. The book would also be suitable as a reference for basic ...

Test equating methods are used with many standardized tests in education and psychology to ensure that scores from multiple test forms can be used interchangeably. In recent years, researchers from the education, psychology, and statistics communities have contributed to the rapidly growing statistical and psychometric methodologies used in test equating. This book provides an introduction to test equating which both discusses the most frequently ...

Dieses Buch gibt eine umfassende Darstellung der wichtigsten Verfahren zur numerischen Lösung von linearen Gleichungssystemen. Es benötigt zum Verständnis nur sehr geringe mathematische Vorkenntnisse, wie sie meist schon nach einem einsemestrigen Kurs in einem mathematischen oder ingenieurwissenschaftlichen Studiengang vorliegen. Aus diesem Grunde wendet sich das Buch nicht nur an Studierende der Mathematik, Wirtschaftsmathematik ...

Seit Jahrtausenden versuchen wir, die Natur zu verstehen. Wir konnten einige der grossen Mysterien enträtseln indem wir den Makro- und Mikrokosmos mit immer raffinierteren Werkzeugen untersuchen. Nicht nur, dass wir dabei eine überwältigende Vielfalt an Fakten gesammelt haben, wir enthüllten sogar Grundgesetze, welche die Struktur und Entwicklung der physikalischen Realität steuern. Insbesondere lernten wir aus diesen ...

This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and ...

Diophantine problems concern the solutions of equations in integers, rational numbers, or various generalizations. The book is an encyclopedic survey of diophantine geometry. For the most part no proofs are given, but references are given where proofs may be found. There are some exceptions, notably the proof for a large part of Faltings' theorems is given. The survey puts together, from a unified point of view, the field of diophantine geometry ...

SchrAdinger Equations and Diffusion Theory addresses the question "What is the SchrAdinger equation?" in terms of diffusion processes, and shows that the SchrAdinger equation and diffusion equations in duality are equivalent. In turn, SchrAdinger's conjecture of 1931 is solved. The theory of diffusion processes for the SchrAdinger equation tell us that we must go further into the theory of systems of (infinitely) many interacting quantum ...

The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material. ...