Geometry
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Basic Concepts Of Geometry
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Author : Walter Prenowitz
language : en
Publisher: Rowman & Littlefield
Release Date : 2012-10-04
Basic Concepts Of Geometry written by Walter Prenowitz and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-04 with Mathematics categories.
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Geometry
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Author : David A. Brannan
language : en
Publisher: Cambridge University Press
Release Date : 1999-04-13
Geometry written by David A. Brannan 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 1999-04-13 with Mathematics categories.
This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed. This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study.
Geometry In Advanced Pure Mathematics
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Author : Bullett Shaun
language : en
Publisher: World Scientific
Release Date : 2017-03-07
Geometry In Advanced Pure Mathematics written by Bullett Shaun and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-07 with Mathematics categories.
This book leads readers from a basic foundation to an advanced level understanding of geometry in advanced pure mathematics. Chapter by chapter, readers will be led from a foundation level understanding to advanced level understanding. This is the perfect text for graduate or PhD mathematical-science students looking for support in algebraic geometry, geometric group theory, modular group, holomorphic dynamics and hyperbolic geometry, syzygies and minimal resolutions, and minimal surfaces. Geometry in Advanced Pure Mathematics is the fourth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Editor the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
Beautiful Geometry
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Author : Eli Maor
language : en
Publisher: Princeton University Press
Release Date : 2014-01-19
Beautiful Geometry written by Eli Maor and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-19 with Mathematics categories.
An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.
Geometry And Symmetry
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Author : L. Christine Kinsey
language : en
Publisher: John Wiley & Sons
Release Date : 2010-04-19
Geometry And Symmetry written by L. Christine Kinsey and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-19 with Mathematics categories.
This new book helps students gain an appreciation of geometry and its importance in the history and development of mathematics. The material is presented in three parts. The first is devoted to Euclidean geometry. The second covers non-Euclidean geometry. The last part explores symmetry. Exercises and activities are interwoven with the text to enable them to explore geometry. The activities take advantage of geometric software so they'll gain a better understanding of its capabilities. Mathematics teachers will be able to use this material to create exciting and engaging projects in the classroom.
College Geometry
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Author : Nathan Altshiller-Court
language : en
Publisher: Courier Corporation
Release Date : 2007-04-19
College Geometry written by Nathan Altshiller-Court and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-19 with Mathematics categories.
Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952. World-renowned writer and researcher Nathan Altshiller-Court (1881–1968) was a professor of mathematics at the University of Oklahoma for more than thirty years. His revised introduction to modern geometry offers today's students the benefits of his many years of teaching experience. The first part of the text stresses construction problems, proceeding to surveys of similitude and homothecy, properties of the triangle and the quadrilateral, and harmonic division. Subsequent chapters explore the geometry of the circle — including inverse points, orthogonals, coaxals, and the problem of Apollonius and triangle geometry, focusing on Lemoine and Brocard geometry, isogonal lines, Tucker circles, and the orthopole. Numerous exercises of varying degrees of difficulty appear throughout the text.
The Geometry Of Physics
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Author : Theodore Frankel
language : en
Publisher: Cambridge University Press
Release Date : 2004
The Geometry Of Physics written by Theodore Frankel 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 with Mathematics categories.
This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers, quarks, and quark model for mesons. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should be of interest also to mathematics students. Ideal for graduate and advanced undergraduate students of physics, engineering and mathematics as a course text or for self study.
Riemannian Geometry
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Author : Sylvestre Gallot
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-07-30
Riemannian Geometry written by Sylvestre Gallot 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 2004-07-30 with Mathematics categories.
This book covers the topics of differential manifolds, Riemannian metrics, connections, geodesics and curvature, with special emphasis on the intrinsic features of the subject. It treats in detail classical results on the relations between curvature and topology. The book features numerous exercises with full solutions and a series of detailed examples are picked up repeatedly to illustrate each new definition or property introduced.
Graphs And Geometry
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Author : László Lovász
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-08-28
Graphs And Geometry written by László Lovász 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 2019-08-28 with Geometry categories.
Graphs are usually represented as geometric objects drawn in the plane, consisting of nodes and curves connecting them. The main message of this book is that such a representation is not merely a way to visualize the graph, but an important mathematical tool. It is obvious that this geometry is crucial in engineering, for example, if you want to understand rigidity of frameworks and mobility of mechanisms. But even if there is no geometry directly connected to the graph-theoretic problem, a well-chosen geometric embedding has mathematical meaning and applications in proofs and algorithms. This book surveys a number of such connections between graph theory and geometry: among others, rubber band representations, coin representations, orthogonal representations, and discrete analytic functions. Applications are given in information theory, statistical physics, graph algorithms and quantum physics. The book is based on courses and lectures that the author has given over the last few decades and offers readers with some knowledge of graph theory, linear algebra, and probability a thorough introduction to this exciting new area with a large collection of illuminating examples and exercises.
Geometry
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Author : John R. Silvester
language : en
Publisher: Oxford University Press, USA
Release Date : 2001
Geometry written by John R. Silvester and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
A first-year geometry teacher at King's College, London, UK guides the reader through the basic concepts and techniques of geometry, from Euclid through to algebraic geometry, in the most personable and friendly, yet stimulating, manner possible. With the stated purpose of exciting students to reason and calculate, the author borrows ideas and techniques from analysis and algebra, which he feels should ideally be studied alongside this material. Suitable for students who took little or no geometry at school, the text includes numerous exercises with answers provided. c. Book News Inc.