Geometry with an Introduction to Cosmic Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry with an Introduction to Cosmic Topology write by Michael P. Hitchman. This book was released on 2009. Geometry with an Introduction to Cosmic Topology available in PDF, EPUB and Kindle. 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
Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn write by Cram101 Textbook Reviews. This book was released on 2010-12. Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn available in PDF, EPUB and Kindle. 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
The Wraparound Universe - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Wraparound Universe write by Jean-Pierre Luminet. This book was released on 2008-03-21. The Wraparound Universe available in PDF, EPUB and Kindle. 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
An Introduction to Riemannian Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Riemannian Geometry write by Leonor Godinho. This book was released on 2014-07-26. An Introduction to Riemannian Geometry available in PDF, EPUB and Kindle. 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.
Noncommutative Geometry and Particle Physics
Noncommutative Geometry and Particle Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncommutative Geometry and Particle Physics write by Walter D. van Suijlekom. This book was released on 2014-07-21. Noncommutative Geometry and Particle Physics available in PDF, EPUB and Kindle. This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate students in mathematics/theoretical physics who are new to the field of noncommutative geometry, as well as for researchers in mathematics/theoretical physics with an interest in the physical applications of noncommutative geometry. In the first part, we introduce the main concepts and techniques by studying finite noncommutative spaces, providing a “light” approach to noncommutative geometry. We then proceed with the general framework by defining and analyzing noncommutative spin manifolds and deriving some main results on them, such as the local index formula. In the second part, we show how noncommutative spin manifolds naturally give rise to gauge theories, applying this principle to specific examples. We subsequently geometrically derive abelian and non-abelian Yang-Mills gauge theories, and eventually the full Standard Model of particle physics, and conclude by explaining how noncommutative geometry might indicate how to proceed beyond the Standard Model.
