Geometry Of M Bius Transformations

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Studyguide For Geometry Of M Bius Transformations

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Author : Cram101 Textbook Reviews
language : en
Publisher: Cram101
Release Date : 2013-05

Studyguide For Geometry Of M Bius Transformations written by Cram101 Textbook Reviews and has been published by Cram101 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05 with categories.

Never HIGHLIGHT a Book Again Includes all testable terms, concepts, persons, places, and events. Cram101 Just the FACTS101 studyguides gives all of the outlines, highlights, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanies: 9780872893795. This item is printed on demand.

Geometry Of M Bius Transformations

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Author : Vladimir V. Kisil
language : en
Publisher: World Scientific
Release Date : 2012

Geometry Of M Bius Transformations written by Vladimir V. Kisil and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered.

Geometry Of Mobius Transformations Elliptic Parabolic And Hyperbolic Actions Of Sl2 R With Dvd Rom

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Author : Vladimir V Kisil
language : en
Publisher: World Scientific
Release Date : 2012-06-19

Geometry Of Mobius Transformations Elliptic Parabolic And Hyperbolic Actions Of Sl2 R With Dvd Rom written by Vladimir V Kisil and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-19 with Mathematics categories.

This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered./a

Geometry Of Complex Numbers

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Author : Hans Schwerdtfeger
language : en
Publisher: Courier Corporation
Release Date : 1979-01-01

Geometry Of Complex Numbers written by Hans Schwerdtfeger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-01-01 with Mathematics categories.

Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries. "This book should be in every library, and every expert in classical function theory should be familiar with this material. The author has performed a distinct service by making this material so conveniently accessible in a single book." — Mathematical Review.

Geometry

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Author : David A. Brannan
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-22

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 2011-12-22 with Mathematics categories.

This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

Geometric Transformations Projective Transformations

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Author : Petr Sergeevich Modenov
language : en
Publisher:
Release Date : 1966

Geometric Transformations Projective Transformations written by Petr Sergeevich Modenov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Geometry, Algebraic categories.

Transformation Geometry

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Author : George E. Martin
language : en
Publisher:
Release Date : 1982

Transformation Geometry written by George E. Martin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Geometry categories.

Geometry Of Groups Of Transformations

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Author : André Lichnerowicz
language : en
Publisher: Springer
Release Date : 1977-04-25

Geometry Of Groups Of Transformations written by André Lichnerowicz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-04-25 with Mathematics categories.

Geometry Plane And Fancy

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Author : David A. Singer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometry Plane And Fancy written by David A. 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 2012-12-06 with Mathematics categories.

A fascinating tour through parts of geometry students are unlikely to see in the rest of their studies while, at the same time, anchoring their excursions to the well known parallel postulate of Euclid. The author shows how alternatives to Euclids fifth postulate lead to interesting and different patterns and symmetries, and, in the process of examining geometric objects, the author incorporates the algebra of complex and hypercomplex numbers, some graph theory, and some topology. Interesting problems are scattered throughout the text. Nevertheless, the book merely assumes a course in Euclidean geometry at high school level. While many concepts introduced are advanced, the mathematical techniques are not. Singers lively exposition and off-beat approach will greatly appeal both to students and mathematicians, and the contents of the book can be covered in a one-semester course, perhaps as a sequel to a Euclidean geometry course.

Transformation Geometry

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Author :
language : en
Publisher:
Release Date : 1987

Transformation Geometry written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.