A Modern View Of Geometry
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A Modern View Of Geometry
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Author : Leonard M. Blumenthal
language : en
Publisher: Courier Dover Publications
Release Date : 2017-04-19
A Modern View Of Geometry written by Leonard M. Blumenthal and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-19 with Mathematics categories.
Elegant exposition of postulation geometry of planes offers rigorous, lucid treatment of coordination of affine and projective planes, set theory, propositional calculus, affine planes with Desargues and Pappus properties, more. 1961 edition.
A Modern View Of Geometry
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Author : Leonard M. Blumenthal
language : en
Publisher:
Release Date : 1980
A Modern View Of Geometry written by Leonard M. Blumenthal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Modern Geometry With Applications
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Author : George A. Jennings
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-06-12
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 1997-06-12 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.
A Modern View Of Geometry
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Author : Leonard Mascot Blumenthal
language : en
Publisher:
Release Date : 1961
A Modern View Of Geometry written by Leonard Mascot Blumenthal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Geometry categories.
This book discusses the postulational geometry of planes and emphasizes the coordinatization of affine and projective planes. The basic unity of algebra and geometry is made clear by showing how the algebraic structure of an abstract coordinate set is determined by the geometric structure that postulates impose on an abstract point set. A simple set of postulates in terms of one primitive notion, distance, is developed in detail for the euclidean plane, and postulates are given for the non-euclidean planes. The examination of ordinary analytic geometry from this modern viewpoint will prove especially valuable to the thoughtful student.
Multiple View Geometry In Computer Vision
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Author : Richard Hartley
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-25
Multiple View Geometry In Computer Vision written by Richard Hartley and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-25 with Computers categories.
A basic problem in computer vision is to understand the structure of a real world scene given several images of it. Techniques for solving this problem are taken from projective geometry and photogrammetry. Here, the authors cover the geometric principles and their algebraic representation in terms of camera projection matrices, the fundamental matrix and the trifocal tensor. The theory and methods of computation of these entities are discussed with real examples, as is their use in the reconstruction of scenes from multiple images. The new edition features an extended introduction covering the key ideas in the book (which itself has been updated with additional examples and appendices) and significant new results which have appeared since the first edition. Comprehensive background material is provided, so readers familiar with linear algebra and basic numerical methods can understand the projective geometry and estimation algorithms presented, and implement the algorithms directly from the book.
Geometry A Comprehensive Course
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Author : Dan Pedoe
language : en
Publisher: Courier Corporation
Release Date : 2013-04-02
Geometry A Comprehensive Course written by Dan Pedoe and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-02 with Mathematics categories.
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
New Foundations In Mathematics
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Author : Garret Sobczyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-28
New Foundations In Mathematics written by Garret Sobczyk 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 2012-10-28 with Mathematics categories.
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics. Geometric algebra offers a simple and robust means of expressing a wide range of ideas in mathematics, physics, and engineering. In particular, geometric algebra extends the real number system to include the concept of direction, which underpins much of modern mathematics and physics. Much of the material presented has been developed from undergraduate courses taught by the author over the years in linear algebra, theory of numbers, advanced calculus and vector calculus, numerical analysis, modern abstract algebra, and differential geometry. The principal aim of this book is to present these ideas in a freshly coherent and accessible manner. New Foundations in Mathematics will be of interest to undergraduate and graduate students of mathematics and physics who are looking for a unified treatment of many important geometric ideas arising in these subjects at all levels. The material can also serve as a supplemental textbook in some or all of the areas mentioned above and as a reference book for professionals who apply mathematics to engineering and computational areas of mathematics and physics.
Modern Differential Geometry For Physicists
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Author : Chris J. Isham
language : en
Publisher: Allied Publishers
Release Date : 2002
Modern Differential Geometry For Physicists written by Chris J. Isham and has been published by Allied Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Geometry, Differential categories.
Modern Geometry Methods And Applications
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Author : B.A. Dubrovin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
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 2012-12-06 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 Methods And Applications
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Author : B.A. Dubrovin
language : en
Publisher: Springer
Release Date : 1984-03-16
Modern Geometry Methods And Applications written by B.A. Dubrovin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-03-16 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.