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: 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.
Описание: Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to Differential Geometry using Clifford's Geometric Algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space. Complete with chapter-by-chapter exercises, an overview of general relativity, and brief biographies of historical figures, this comprehensive textbook presents a valuable introduction to differential geometry. It will serve as a useful resource for upper-level undergraduates, beginning-level graduate students, and researchers in the algebra and physics communities.
Описание: Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. The author's intuitive approach forms a treatment that is comprehensible to relative beginners, yet rigorous enough for professional mathematicians. Integration on manifolds plays an important role in the text and provides the foundation for many concrete applications. Special attention is given to chaotic phenomena, including the persistence of chaos under small perturbations. The author also provides a unique presentation of the Conley index theory, which then forms the basis of an original approach to hyperbolic dynamics.
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: Нет в наличии.
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.
Автор: Fuks D. B., Rokhlin V. A., Iacob A. Название: Beginner`s Course in Topology / Geometric Chapters ISBN: 3540135774 ISBN-13(EAN): 9783540135777 Издательство: Springer Рейтинг: Цена: 11683 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Based on lectures given by the authors at Moscow and Leningrad Universities, this textbook gives a systematic exposition of the main parts of Topology: Homology, Homotopy, Fibre Bundles, and Smooth Manifolds.The main purpose is to present all parts of topology as a unified whole. As a methodological innovation a coordinateless approach to the theory of fibre bundles and an exposition of the foundation of differerential topology without use of differential equations is presented. Many descriptive examples and drawings are included; each section is followed by a set of well chosen exercises. The reader needs only a basic knowledge of set theory, algebra and calculus; so first-year graduate students will find a thorough an profound introduction into the advanced theory of Differential Manifolds.
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: Its self-contained presentation and 'do-it-yourself' approach make this the perfect guide for graduate students and researchers wishing to access recent literature in the field of nonlinear wave equations and general relativity. It introduces all of the key tools and concepts from Lorentzian geometry (metrics, null frames, deformation tensors, etc.) and provides complete elementary proofs. The author also discusses applications to topics in nonlinear equations, including null conditions and stability of Minkowski space. No previous knowledge of geometry or relativity is required.
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.
Автор: Lang Serge Название: Fundamentals of Differential Geometry ISBN: 038798593X ISBN-13(EAN): 9780387985930 Издательство: Springer Рейтинг: Цена: 7947 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Providing an introduction to the basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas, Langs presentation, unique writing style, and elegant proofs enables readers to obtain a thorough understanding of the topic. This new edition of this classic work includes new chapters, sections, examples, and exercises.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru