Topics In Elementary Geometry

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Topics In Elementary Geometry

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Author : O. Bottema
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10

Topics In Elementary Geometry written by O. Bottema 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 2008-12-10 with Mathematics categories.

This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.

Elementary Topics In Differential Geometry

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Author : John A. Thorpe
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-10-27

Elementary Topics In Differential Geometry written by John A. Thorpe 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 1994-10-27 with Mathematics categories.

In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges. This has been brought about by the introduction of linear algebra into the curriculum at the sophomore level. The advantages of using linear algebra both in the teaching of differential equations and in the teaching of multivariate calculus are by now widely recognized. Several textbooks adopting this point of view are now available and have been widely adopted. Students completing the sophomore year now have a fair preliminary under standing of spaces of many dimensions. It should be apparent that courses on the junior level should draw upon and reinforce the concepts and skills learned during the previous year. Unfortunately, in differential geometry at least, this is usually not the case. Textbooks directed to students at this level generally restrict attention to 2-dimensional surfaces in 3-space rather than to surfaces of arbitrary dimension. Although most of the recent books do use linear algebra, it is only the algebra of ~3. The student's preliminary understanding of higher dimensions is not cultivated.

Elementary Geometry

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Author : Ilka Agricola
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Elementary Geometry written by Ilka Agricola 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 2008 with Mathematics categories.

Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.

Elementary Geometry

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Author : John Roe
language : en
Publisher: Clarendon Press
Release Date : 1993

Elementary Geometry written by John Roe and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Language Arts & Disciplines categories.

This text is a careful introduction to geometry. While developing geometry for its own sake, the book also emphasizes the links between geometry and other branches of pure and applied mathematics.

Advanced Topics In Elementary Geometry

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Author : Roger McClintock
language : en
Publisher:
Release Date : 197?

Advanced Topics In Elementary Geometry written by Roger McClintock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 197? with Geometry categories.

Lecture Notes On Elementary Topology And Geometry

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Author : I.M. Singer
language : en
Publisher: Springer Science & Business Media
Release Date : 1976-12-10

Lecture Notes On Elementary Topology And Geometry written by I.M. Singer 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 1976-12-10 with Mathematics categories.

At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These notes are an attempt to break up this compartmentalization, at least in topology-geometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol ogy, and group theory. (De Rham's theorem, the Gauss-Bonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note worthy examples.) In the first two chapters the bare essentials of elementary point set topology are set forth with some hint ofthe subject's application to functional analysis.

Topics In Geometry

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Author : Robert Bix
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Topics In Geometry written by Robert Bix and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.

This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. It includes plentiful illustrations and exercises in support of the thoroughly worked-out proofs. The author's emphasis on the connections between Euclidean and non-Euclidean geometry unifies the range of topics covered.The text opens with a brief review of elementary geometry before proceeding to advanced material. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. Topics in Geometry includes over 800 illustrations and extensive exercises of varying difficulty.

Elementary Differential Geometry

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Author : A.N. Pressley
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

Elementary Differential Geometry written by A.N. Pressley 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 2013-11-11 with Mathematics categories.

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates. Elementary Differential Geometry presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there. The book will provide an invaluable resource to all those taking a first course in differential geometry, for their lecturers, and for all others interested in the subject. Andrew Pressley is Professor of Mathematics at King’s College London, UK. The Springer Undergraduate Mathematics Series (SUMS) is a series designed for undergraduates in mathematics and the sciences worldwide. From core foundational material to final year topics, SUMS books take a fresh and modern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully worked solutions.

Elementary Geometry For Teachers

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Author : Thomas H. Parker
language : en
Publisher: Ingram
Release Date : 2008

Elementary Geometry For Teachers written by Thomas H. Parker and has been published by Ingram this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Elementary school teachers categories.

Textbook on measurement and geometry for elementary school mathematics teachers, including a chapter on data, probability, and statistics. Designed to be used in conjunction with Primary mathematics textbooks 4A, 5A, 3B, 5B, 6B (all U.S. ed.) and New elementary mathematics textbook 1.

Elementary Differential Geometry

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Author : Christian Bär
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-06

Elementary Differential Geometry written by Christian Bär 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 2010-05-06 with Mathematics categories.

This easy-to-read introduction takes the reader from elementary problems through to current research. Ideal for courses and self-study.