Описание: This book brings together some of the most influential pieces of research undertaken around the world in design synthesis. It is the first comprehensive work of this kind and covers all three aspects of research in design synthesis:- understanding what constitutes and influences synthesis;- the major approaches to synthesis;- the diverse range of tools that are created to support this crucial design task.The chapters are comprised of cutting edge research and established methods, written by the originators of this growing field of research. They cover all major generic synthesis approaches i.e., composition, retrieval, change and repair, and tackle problems that come from a wide variety of domains within architecture and engineering as well as areas of application including clocks, sensors and medical devices. The book contains an editorial introduction to the chapters and the broader context of research they represent. With its range of tools and methods covered, it is an ideal introduction to design synthesis for those intending to research in this area as well as being a valuable source of ideas for educators and practitioners of engineering design.
Описание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.
Описание: Includes: imaging techniques using barium, CT and MRI of the small bowel, sonography of the small bowel, assessing the activity of Crohn`s disease with MRI, vascular disorders and small bowel obstructions, immune deficiency diseases, and more. This reference is useful for practitioners who have an interest in learning about intestinal imaging. Presents differential forms from a geometric perspective. This book begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms. Each concept is presented with a natural picture that students can easily grasp, and algebraic properties then follow.
Описание: This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in
these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and
related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative
geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.
Автор: Bachman Название: A Geometric Approach to Differential Forms ISBN: 0817683038 ISBN-13(EAN): 9780817683030 Издательство: Springer Рейтинг: Цена: 3735 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a geometric perspective accessible at the advanced undergraduate level. The author approaches the subject with the idea that complex concepts can be built up by analogy from simpler cases, which, being inherently geometric, often can be best understood visually.Each new concept is presented with a natural picture that students can easily grasp; algebraic properties then follow. This facilitates the development of differential forms without assuming a background in linear algebra. Throughout the text, emphasis is placed on applications in 3 dimensions, but all definitions are given so as to be easily generalized to higher dimensions.The second edition includes a completely new chapter on differential geometry, as well as other new sections, new exercises and new examples. Additional solutions to selected exercises have also been included. The work is suitable for use as the primary textbook for a sophomore-level class in vector calculus, as well as for more upper-level courses in differential topology and differential geometry.
Описание: The process of breaking up a physical domain into smaller sub-domains, known as meshing, facilitates the numerical solution of partial differential equations used to simulate physical systems. This book provides information on the applications of geometric methods to advanced grid technology.
Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.
Автор: Sussman Gerald Jay Название: Functional Differential Geometry ISBN: 0262019345 ISBN-13(EAN): 9780262019347 Издательство: Wiley Рейтинг: Цена: 4494 р. Наличие на складе: Поставка под заказ.
An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory.
Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Miserables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.
The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
Описание: Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.
Описание: Provides information on numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. This book presents a theory of symplectic and symmetric methods, including composition, splitting, multistep and various specially designed integrators.