Differential Geometrical Methods in Theoretical Physics, K. Bleuler; M. Werner

Автор: Jean-Pierre Marquis
Название: From a Geometrical Point of View
ISBN: 9048181178 ISBN-13(EAN): 9789048181179
Издательство: Springer
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Описание: From a Geometrical Point of View explores historical and philosophical aspects of category theory and categorical logic, providing insight into their role and nature in contemporary mathematics.

Автор: K. Bleuler; M. Werner
Название: Differential Geometrical Methods in Theoretical Physics
ISBN: 9048184592 ISBN-13(EAN): 9789048184590
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Research Workshop and the 16th International Conference, Como, Italy, August 24-29, 1987

Автор: E.G.Peter Rowe
Название: Geometrical Physics in Minkowski Spacetime
ISBN: 1849968667 ISBN-13(EAN): 9781849968669
Издательство: Springer
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Описание: From the reviews: "This attractive book provides an account of the theory of special relativity from a geometrical viewpoint, explaining the unification and insights that are given by such a treatment. [ ] Can be read with profit by all who have taken a first course in relativity physics." ASLIB Book Guide

Автор: Epstein
Название: The Geometrical Language of Continuum Mechanics
ISBN: 1107617030 ISBN-13(EAN): 9781107617032
Издательство: Cambridge Academ
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Описание: Here Epstein deals with modern differential geometry by placing it within the context of its application to the mechanics of deformable media (continuum mechanics). These two disciplines are mutually compatible as one enlightens the understanding of the other. Throughout the book, the mathematical concepts are exemplified by their engineering counterparts.

Автор: Paul Steinmann
Название: Geometrical Foundations of Continuum Mechanics
ISBN: 3662464594 ISBN-13(EAN): 9783662464595
Издательство: Springer
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Описание: Geometrical Foundations of Continuum Mechanics

Автор: Judith V. Field; Jeremy Gray
Название: The Geometrical Work of Girard Desargues
ISBN: 1461386942 ISBN-13(EAN): 9781461386940
Издательство: Springer
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Описание: The problems of making Desargues` work accessible to modem mathematicians and historians of mathematics have led us to provide a fairly elaborate introduction, and to include translations of other relevant works.

Автор: Henk J.M. Bos
Название: Redefining Geometrical Exactness
ISBN: 1461265215 ISBN-13(EAN): 9781461265214
Издательство: Springer
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Описание: In his "G om trie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "G om trie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.