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Geometric Analysis and PDEs
This volume contains lecture notes on key topics in geometric analysis, a growing mathematical subject which uses analytical techniques, mostly of partial differential equations, to treat problems in differential geometry and mathematical physics.
Partial Differential Equations arising from Physics and Geometry
Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.
2020 International Conference on Decision Aid Sciences and Application (DASA)
Decision Sciences and Applications
Optical Fiber Communication Systems
This book is an important resource elaborating recent developments achieved in fiber communications systems. It consists of a compilation of research works on the essential technologies and mathematical concepts underlying optical fiber communications and devices of our age. The book encompasses various topics like the topologies and architecture of these networks, PONs, WANs, LANs, secure optical communication among others. Therefore, it presents an all-inclusive overview on latest research trends and technologies associated with these topics. It integrates contributions by veteran scientists and academicians hailing from renowned universities and research centers associated with the fields of optical communications and photonics. This book will serve as a valuable reference with a wide spectrum of information about this field. It will appeal to practitioners and researchers engaged in the field of photonics and optical communications.
Bézier and B-Spline Techniques
This book provides a solid and uniform derivation of the various properties Bezier and B-spline representations have, and shows the beauty of the underlying rich mathematical structure. The book focuses on the core concepts of Computer Aided Geometric Design and provides a clear and illustrative presentation of the basic principles, as well as a treatment of advanced material including multivariate splines, some subdivision techniques and constructions of free form surfaces with arbitrary smoothness. The text is beautifully illustrated with many excellent figures to emphasize the geometric constructive approach of this book.
Triangulations and Applications
This book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, it presents the basic theory necessary to construct and manipulate triangulations. In particular, the book gives a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. It also discusses various data structures used for the representation of triangulations.
Computational Line Geometry
From the reviews: " A unique and fascinating blend, which is shown to be useful for a variety of applications, including robotics, geometrical optics, computer animation, and geometric design. The contents of the book are visualized by a wealth of carefully chosen illustrations, making the book a shear pleasure to read, or even to just browse in." Mathematical Reviews
Multimedia Tools for Communicating Mathematics
This book on multimedia tools for communicating mathematics arose from presentations at an international workshop organized by the Centro de Matemtica e Aplicacoes Fundamentais at the University of Lisbon, in November 2000, with the collaboration of the Sonderforschungsbereich 288 at the University of Technology in Berlin, and of the Centre for Experimental and Constructive Mathematics at Simon Fraser University in Burnaby, Canada. The MTCM2000 meeting aimed at the scientific methods and algorithms at work inside multimedia tools, and it provided an overview of the range of present multimedia projects, of their limitations and the underlying mathematical problems. This book presents some of the tools and algorithms currently being used to create new ways of making enhanced interactive presentations and multimedia courses. It is an invaluable and up-to-date reference book on multimedia tools presently available for mathematics and related subjects.
Geometric Modeling for Scientific Visualization
Geometric Modeling and Scientific Visualization are both established disciplines, each with their own series of workshops, conferences and journals. But clearly both disciplines overlap; this observation led to the idea of composing a book on Geometric Modeling for Scientific Visualization.
