Geometrical Properties of Vectors and Convectors

Geometrical Properties of Vectors and Convectors
Title Geometrical Properties of Vectors and Convectors PDF eBook
Author Joaquim M. Domingos
Publisher World Scientific
Pages 82
Release 2006
Genre Mathematics
ISBN 9812700447

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This is a brief introduction to some geometrical topics including topological spaces, the metric tensor, Euclidean space, manifolds, tensors, r-forms, the orientation of a manifold and the Hodge star operator. It provides the reader who is approaching the subject for the first time with a deeper understanding of the geometrical properties of vectors and covectors. The material prepares the reader for discussions on basic concepts such as the differential of a function as a covector, metric dual, inner product, wedge product and cross product.J M Domingos received his D Phil from the University of Oxford and has now retired from the post of Professor of Physics at the University of Coimbra, Portugal.

An Introduction to Geometrical Physics

An Introduction to Geometrical Physics
Title An Introduction to Geometrical Physics PDF eBook
Author Aldrovandi Ruben
Publisher World Scientific
Pages 844
Release 2016-10-07
Genre Science
ISBN 9813146834

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This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature -- gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.

The American Mathematical Monthly

The American Mathematical Monthly
Title The American Mathematical Monthly PDF eBook
Author
Publisher
Pages 840
Release 1966
Genre Mathematicians
ISBN

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Includes section "Recent publications."

Integrability and Nonintegrability in Geometry and Mechanics

Integrability and Nonintegrability in Geometry and Mechanics
Title Integrability and Nonintegrability in Geometry and Mechanics PDF eBook
Author A.T. Fomenko
Publisher Springer Science & Business Media
Pages 358
Release 2012-12-06
Genre Mathematics
ISBN 9400930690

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Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. 1hen one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin' . • 1111 Oulik'. n. . Chi" •. • ~ Mm~ Mu,d. ", Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Principles of Environmental Physics

Principles of Environmental Physics
Title Principles of Environmental Physics PDF eBook
Author John Monteith
Publisher Butterworth-Heinemann
Pages 308
Release 1990-02-15
Genre Nature
ISBN 9780713129311

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Thoroughly revised and up-dated edition of a highly successful textbook.

Trends in Mathematical Physics Research

Trends in Mathematical Physics Research
Title Trends in Mathematical Physics Research PDF eBook
Author Charles V. Benton
Publisher Nova Publishers
Pages 256
Release 2004
Genre Mathematics
ISBN 9781590339138

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Physics and mathematics have always been closely intertwined, with developments in one field frequently inspiring the other. Currently, there are many unsolved problems in physics which will likely require new innovations in mathematical physics. Mathematical physics is concerned with problems in statistical mechanics, atomic and molecular physics, quantum field theory, and, in general, with the mathematical foundations of theoretical physics. This includes such subjects as scattering theory for n bodies, quantum mechanics (both non-relativistic and relativistic), atomic and molecular physics, the existence and properties of the phases of model ferromagnets, the stability of matter, the theory of symmetry and symmetry breaking in quantum field theory (both in general and in concrete models), and mathematical developments in functional analysis and algebra to which such subjects lead. This book presents leading-edge research in this fast-moving field.

HST3D

HST3D
Title HST3D PDF eBook
Author Kenneth L. Kipp
Publisher
Pages 532
Release 1987
Genre Computer graphics
ISBN

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