Geometry with an Introduction to Cosmic Topology
Title | Geometry with an Introduction to Cosmic Topology PDF eBook |
Author | Michael P. Hitchman |
Publisher | Jones & Bartlett Learning |
Pages | 255 |
Release | 2009 |
Genre | Mathematics |
ISBN | 0763754579 |
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
Title | Outlines and Highlights for Geometry with an Introduction to Cosmic Topology by Michael P Hitchman, Isbn PDF eBook |
Author | Cram101 Textbook Reviews |
Publisher | Academic Internet Pub Incorporated |
Pages | 56 |
Release | 2010-12 |
Genre | Education |
ISBN | 9781616989569 |
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
Title | The Wraparound Universe PDF eBook |
Author | Jean-Pierre Luminet |
Publisher | CRC Press |
Pages | 334 |
Release | 2008-03-21 |
Genre | Mathematics |
ISBN | 1439864969 |
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
Title | An Introduction to Riemannian Geometry PDF eBook |
Author | Leonor Godinho |
Publisher | Springer |
Pages | 476 |
Release | 2014-07-26 |
Genre | Mathematics |
ISBN | 3319086669 |
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
Title | Noncommutative Geometry and Particle Physics PDF eBook |
Author | Walter D. van Suijlekom |
Publisher | Springer |
Pages | 246 |
Release | 2014-07-21 |
Genre | Science |
ISBN | 9401791627 |
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.
The Shape of Inner Space
Title | The Shape of Inner Space PDF eBook |
Author | Shing-Tung Yau |
Publisher | Il Saggiatore |
Pages | 398 |
Release | 2010-09-07 |
Genre | Mathematics |
ISBN | 0465020232 |
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
The Shape of Space
Title | The Shape of Space PDF eBook |
Author | Jeffrey R. Weeks |
Publisher | CRC Press |
Pages | 263 |
Release | 2001-12-12 |
Genre | Mathematics |
ISBN | 1135542651 |
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.