Differential Geometry of Three Dimensions, Weatherburn

Автор: Vargas Jose G
Название: Differential Geometry for Physicists and Mathematicians
ISBN: 981456639X ISBN-13(EAN): 9789814566391
Издательство: World Scientific Publishing
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Цена: 105600.00 T
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Описание: This is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative -- almost like a story being told -- that does not impede sophistication and deep results.It covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.In an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 37260.00 T
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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: MIT Press
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Цена: 62070.00 T
Наличие на складе: Невозможна поставка.
Описание:

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: Lipschutz, Martin M.
Название: Schaum`s outline of differential geometry
ISBN: 0070379858 ISBN-13(EAN): 9780070379855
Издательство: McGraw-Hill
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Цена: 32020.00 T
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Описание: Schaum`s Outlines present all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

Автор: Adachi Toshiaki Et Al
Название: Recent Progress In Differential Geometry And Its Related Fields - Proceedings Of The 2Nd International Colloquium On Differential Geometry And Its Related Fields
ISBN: 9814355461 ISBN-13(EAN): 9789814355469
Издательство: World Scientific Publishing
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Цена: 85530.00 T
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Описание: Contains the contributions by the main participants of the 2nd International Colloquium on Differential Geometry and its Related Fields (ICDG2010), that was held in Veliko Tarnovo, Bulgaria to exchange information on current topics in differential geometry, information geometry and applications.

Автор: Weatherburn
Название: Differential Geometry of Three Dimensions
ISBN: 1316603849 ISBN-13(EAN): 9781316603840
Издательство: Cambridge Academ
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Цена: 38010.00 T
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Описание: Originally published in 1927, as the first of a two-part set, this informative and systematically organised textbook, primarily aimed at university students, contains a vectorial treatment of geometry, reasoning that by the use of such vector methods, geometry is able to be `both simplified and condensed`.

Автор: Sommerville
Название: Analytical Geometry of Three Dimensions
ISBN: 1316601900 ISBN-13(EAN): 9781316601907
Издательство: Cambridge Academ
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Цена: 50690.00 T
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Описание: Originally published in 1934, this book carefully starts from the very beginning of the subject, but also engages with concepts which are considered profoundly more specialist in the field of geometry. It places a different emphasis on the subject`s cornerstone principles and illuminates new developments in the field.

Автор: Umehara Masaaki & Yamada Kotaro
Название: Differential Geometry Of Curves And Surfaces
ISBN: 9814740233 ISBN-13(EAN): 9789814740234
Издательство: World Scientific Publishing
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Цена: 77090.00 T
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Описание: This engrossing volume on curve and surface theories is the result of many years of experience the authors have had with teaching the most essential aspects of this subject.