Modern Geometry
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Modern Geometry Methods And Applications
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Author : B. A. Dubrovin
language : en
Publisher: Springer Science & Business Media
Release Date : 1984
Modern Geometry Methods And Applications written by B. A. Dubrovin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Geometry categories.
Part II. The geometry and topology of manifolds. This is the second volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include homotopy groups, fibre bundles, dynamical systems, and foliations. The exposition is simple and concrete, and in a terminology palatable to physicists.
Modern Geometry Methods And Applications
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Author : B.A. Dubrovin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Modern Geometry Methods And Applications written by B.A. Dubrovin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practic able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S. P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S. P. Novikov and A. T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, re-ordering, and ex tensive elaboration of the above-mentioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S. P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B. A. Dubrovin.
Modern Geometry With Applications
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Author : George A. Jennings
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Modern Geometry With Applications written by George A. Jennings and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics, and many additional applications are given in the exercises. It makes an excellent introduction for those who need to know how geometry is used in addition to its formal theory.
The Poincar Half Plane
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Author : Saul Stahl
language : en
Publisher: Jones & Bartlett Learning
Release Date : 1993
The Poincar Half Plane written by Saul Stahl and has been published by Jones & Bartlett Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Geometry, Non-Euclidean categories.
The Poincare Half-Planeprovides an elementary and constructive development of this geometry that brings the undergraduate major closer to current geometric research. At the same time, repeated use is made of high school geometry, algebra, trigonometry, and calculus, thus reinforcing the students' understanding of these disciplines as well as enhancing their perception of mathematics as a unified endeavor.
Modern Geometry
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Author : Charles Godfrey
language : en
Publisher:
Release Date : 1912
Modern Geometry written by Charles Godfrey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1912 with Geometry, Modern categories.
Modern Geometry A Celebration Of The Work Of Simon Donaldson
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Author : Vicente Muñoz
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-09-05
Modern Geometry A Celebration Of The Work Of Simon Donaldson written by Vicente Muñoz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-05 with Four-manifolds (Topology) categories.
This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.
Modern Geometry
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Author : R. C. Jurgensen
language : en
Publisher: CUP Archive
Release Date : 1963
Modern Geometry written by R. C. Jurgensen and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Geometry categories.
Modern Geometry Methods And Applications
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Author : B.A. Dubrovin
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-08-05
Modern Geometry Methods And Applications written by B.A. Dubrovin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-08-05 with Mathematics categories.
Up until recently, Riemannian geometry and basic topology were not included, even by departments or faculties of mathematics, as compulsory subjects in a university-level mathematical education. The standard courses in the classical differential geometry of curves and surfaces which were given instead (and still are given in some places) have come gradually to be viewed as anachronisms. However, there has been hitherto no unanimous agreement as to exactly how such courses should be brought up to date, that is to say, which parts of modern geometry should be regarded as absolutely essential to a modern mathematical education, and what might be the appropriate level of abstractness of their exposition. The task of designing a modernized course in geometry was begun in 1971 in the mechanics division of the Faculty of Mechanics and Mathematics of Moscow State University. The subject-matter and level of abstractness of its exposition were dictated by the view that, in addition to the geometry of curves and surfaces, the following topics are certainly useful in the various areas of application of mathematics (especially in elasticity and relativity, to name but two), and are therefore essential: the theory of tensors (including covariant differentiation of them); Riemannian curvature; geodesics and the calculus of variations (including the conservation laws and Hamiltonian formalism); the particular case of skew-symmetric tensors (i. e.
Modern Geometry Of The Point Straight Line And Circle
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Author : John Alexander Third
language : en
Publisher:
Release Date : 1898
Modern Geometry Of The Point Straight Line And Circle written by John Alexander Third and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1898 with Geometry, Modern categories.
Modern Geometries
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Author : James R. Smart
language : en
Publisher: Cengage Learning
Release Date : 1998
Modern Geometries written by James R. Smart and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This comprehensive, best-selling text focuses on the study of many different geometries -- rather than a single geometry -- and is thoroughly modern in its approach. Each chapter is essentially a short course on one aspect of modern geometry, including finite geometries, the geometry of transformations, convexity, advanced Euclidian geometry, inversion, projective geometry, geometric aspects of topology, and non-Euclidean geometries. This edition reflects the recommendations of the COMAP proceedings on Geometry's Future, the NCTM standards, and the Professional Standards for Teaching Mathematics. References to a new companion text, Active Geometry by David A. Thomas encourage students to explore the geometry of motion through the use of computer software. Using Active Geometry at the beginning of various sections allows professors to give students a somewhat more intuitive introduction using current technology before moving on to more abstract concepts and theorems.