Use Case Modeling Developers who effectively employ use cases deliver better applications--on time and under budget. The concept behind use cases is perhaps as old as software itself; they express the behavior of systems in terms of how users will ultimately interact with them. Despite this inherent simplicity, the use case approach is frequently misapplied,... Numerical Polynomial Algebra This first book on the numerical analysis of polynomial systems is a stepping stone at the interface of symbolic computation and numerical computation. Bernard Sturmfels, Department of Mathematics, University of Berkeley
I am not familiar with any books that do such a careful job of combining numerical analysis with the algebra of...
Elliptic Curves (Graduate Texts in Mathematics) The book divides naturally into several parts according to the level of the material,
the background required of the reader, and the style of presentation with respect to
details of proofs. For example, the first part, to Chapter 6, is undergraduate in level,
the second part requires a background in Galois theory and the third some...
Equidistribution in Number Theory, An Introduction
From July 11th to July 22nd, 2005, a NATO advanced study institute, as part
of the series “S´eminaire de math´ematiques sup´erieures”, was held at the Universit
´e de Montr´eal, on the subject Equidistribution in the theory of numbers.
There were about one hundred participants from sixteen... Topics in Geometry, Coding Theory and Cryptography (Algebra and Applications) The purpose of this reviewarticle is to serve as an introduction and at the same time, as an invitation to the theory of towers of function fields over finite fields. More specifically, we treat here the case of explicit towers; i.e., towers where the function fields are given by explicit equations. The asymptotic behaviour of the genus and of the...
Algebraic Models in Geometry (Oxford Graduate Texts in Mathematics) Rational homotopy is a very powerful tool for differential topology and geometry. This text aims to provide graduates and researchers with the tools necessary for the use of rational homotopy in geometry. Algebraic Models in Geometry has been written for topologists who are drawn to geometrical problems amenable to topological methods and also... Model Driven Architecture and Ontology Development
Defining a formal domain ontology is generally considered a useful, not to say necessary step in almost every software project. This is because software deals with ideas rather than with self-evident physical artefacts. However, this development step is hardly ever done, as ontologies rely on well-defined and semantically powerful AI concepts...
Real-Time Volume Graphics
IN TRADITIONAL COMPUTER GRAPHICS, 3D objects are created using highlevel
surface representations such as polygonal meshes, NURBS (nonuniform
rational B-spline) patches, or subdivision surfaces. Using this modeling
paradigm, visual properties of surfaces, such as color, roughness, and
reflectance, are described by means of a shading...
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