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Geometry with an Introduction to Cosmic Topology

2009 Mathematics
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Release : 2009
Genre : Mathematics
Kind : eBook
Book Rating : 579/5 ( reviews)

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Book Synopsis Geometry with an Introduction to Cosmic Topology by : Michael P. Hitchman

Download or read book Geometry with an Introduction to Cosmic Topology written by Michael P. Hitchman. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.

Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn

2010-12 Education
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Release : 2010-12
Genre : Education
Kind : eBook
Book Rating : 569/5 ( reviews)

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Book Synopsis Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn by : Cram101 Textbook Reviews

Download or read book Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn written by Cram101 Textbook Reviews. This book was released on 2010-12. Available in PDF, EPUB and Kindle. Book excerpt: Never HIGHLIGHT a Book Again! Virtually all of the testable terms, concepts, persons, places, and events from the textbook are included. Cram101 Just the FACTS101 studyguides give all of the outlines, highlights, notes, and quizzes for your textbook with optional online comprehensive practice tests. Only Cram101 is Textbook Specific. Accompanys: 9780763754570 .

The Wraparound Universe

2008-03-21 Mathematics
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Release : 2008-03-21
Genre : Mathematics
Kind : eBook
Book Rating : 969/5 ( reviews)

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Book Synopsis The Wraparound Universe by : Jean-Pierre Luminet

Download or read book The Wraparound Universe written by Jean-Pierre Luminet. This book was released on 2008-03-21. Available in PDF, EPUB and Kindle. Book excerpt: What shape is the universe? Is it curved and closed in on itself? Is it expanding? Where is it headed? Could space be wrapped around itself, such that it produces ghost images of faraway galaxies? Such are the questions posed by Jean-Pierre Luminet in The Wraparound Universe, which he then addresses in clear and accessible language. An expert in bl

An Introduction to Riemannian Geometry

2014-07-26 Mathematics
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Release : 2014-07-26
Genre : Mathematics
Kind : eBook
Book Rating : 669/5 ( reviews)

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Book Synopsis An Introduction to Riemannian Geometry by : Leonor Godinho

Download or read book An Introduction to Riemannian Geometry written by Leonor Godinho. This book was released on 2014-07-26. Available in PDF, EPUB and Kindle. Book excerpt: Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.

The Shape of Space

2001-12-12 Mathematics
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Release : 2001-12-12
Genre : Mathematics
Kind : eBook
Book Rating : 651/5 ( reviews)

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Book Synopsis The Shape of Space by : Jeffrey R. Weeks

Download or read book The Shape of Space written by Jeffrey R. Weeks. This book was released on 2001-12-12. Available in PDF, EPUB and Kindle. Book excerpt: Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way. Bridging the gap from geometry to the latest work in observational cosmology, the book illustrates the connection between geometry and the behavior of the physical universe and explains how radiation remaining from the big bang may reveal the actual shape of the universe.

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