Geometry with an Introduction to Cosmic Topology

Released on by Michael P. Hitchman
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  • Geometry with an Introduction to Cosmic Topology Book Detail

  • Author : Michael P. Hitchman
  • Release Date : 2009
  • Publisher : Jones & Bartlett Learning
  • Genre : Mathematics
  • Pages : 255
  • ISBN 13 : 0763754579
  • File Size : 37,37 MB
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Geometry with an Introduction to Cosmic Topology by Michael P. Hitchman PDF Summary

Book Description: 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.

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