Geometry With An Introduction To Cosmic Topology PDF Download
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Author | : Michael P. Hitchman |
Publisher | : Jones & Bartlett Learning |
Total Pages | : 255 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0763754579 |
Download Geometry with an Introduction to Cosmic Topology Book 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.
Author | : Colin Rourke |
Publisher | : World Scientific |
Total Pages | : 274 |
Release | : 2021-06-03 |
Genre | : Science |
ISBN | : 9811233888 |
Download The Geometry Of The Universe Book in PDF, ePub and Kindle
Cosmology, the study of the universe, arouses a great deal of public interest, with serious articles both in the scientific press and in major newspapers, with many of the theories and concepts (e.g. the 'big bang' and 'black holes') discussed, often in great depth.Accordingly the book is divided into three parts:Part 1 is readable (and understandable) by anyone with a nodding acquaintance with the basic language of cosmology: events, lights paths, galaxies, black holes and so on. It covers the whole story of the book in a way as untechnical as possible given the scope of the topics covered.Part 2 covers the same ground again but with enough technical details to satisfy a reader with basic knowledge of mathematics and/or physics.Part 3 consists of appendices which are referred to in the other parts and which also contain the highly technical material omitted from Section 2.
Author | : Leonor Godinho |
Publisher | : Springer |
Total Pages | : 476 |
Release | : 2014-07-26 |
Genre | : Mathematics |
ISBN | : 3319086669 |
Download An Introduction to Riemannian Geometry Book 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.
Author | : Harold E. Wolfe |
Publisher | : Courier Corporation |
Total Pages | : 272 |
Release | : 2013-09-26 |
Genre | : Mathematics |
ISBN | : 0486320375 |
Download Introduction to Non-Euclidean Geometry Book in PDF, ePub and Kindle
College-level text for elementary courses covers the fifth postulate, hyperbolic plane geometry and trigonometry, and elliptic plane geometry and trigonometry. Appendixes offer background on Euclidean geometry. Numerous exercises. 1945 edition.
Author | : Jean-Pierre Luminet |
Publisher | : CRC Press |
Total Pages | : 334 |
Release | : 2008-03-21 |
Genre | : Mathematics |
ISBN | : 1439864969 |
Download The Wraparound Universe Book 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
Author | : Walter D. van Suijlekom |
Publisher | : Springer |
Total Pages | : 246 |
Release | : 2014-07-21 |
Genre | : Science |
ISBN | : 9401791627 |
Download Noncommutative Geometry and Particle Physics Book 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.
Author | : Jeffrey R. Weeks |
Publisher | : CRC Press |
Total Pages | : 405 |
Release | : 2001-12-12 |
Genre | : Mathematics |
ISBN | : 0203912667 |
Download The Shape of Space Book in PDF, ePub and Kindle
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.
Author | : Andrew Liddle |
Publisher | : John Wiley & Sons |
Total Pages | : 200 |
Release | : 2015-03-09 |
Genre | : Science |
ISBN | : 1118690273 |
Download An Introduction to Modern Cosmology Book in PDF, ePub and Kindle
An Introduction to Modern Cosmology Third Edition is an accessible account of modern cosmological ideas. The Big Bang Cosmology is explored, looking at its observational successes in explaining the expansion of the Universe, the existence and properties of the cosmic microwave background, and the origin of light elements in the universe. Properties of the very early Universe are also covered, including the motivation for a rapid period of expansion known as cosmological inflation. The third edition brings this established undergraduate textbook up-to-date with the rapidly evolving observational situation. This fully revised edition of a bestseller takes an approach which is grounded in physics with a logical flow of chapters leading the reader from basic ideas of the expansion described by the Friedman equations to some of the more advanced ideas about the early universe. It also incorporates up-to-date results from the Planck mission, which imaged the anisotropies of the Cosmic Microwave Background radiation over the whole sky. The Advanced Topic sections present subjects with more detailed mathematical approaches to give greater depth to discussions. Student problems with hints for solving them and numerical answers are embedded in the chapters to facilitate the reader’s understanding and learning. Cosmology is now part of the core in many degree programs. This current, clear and concise introductory text is relevant to a wide range of astronomy programs worldwide and is essential reading for undergraduates and Masters students, as well as anyone starting research in cosmology. The accompanying website for this text, http://booksupport.wiley.com, provides additional material designed to enhance your learning, as well as errata within the text.
Author | : Shing-Tung Yau |
Publisher | : Il Saggiatore |
Total Pages | : 398 |
Release | : 2010-09-07 |
Genre | : Mathematics |
ISBN | : 0465020232 |
Download The Shape of Inner Space Book in PDF, ePub and Kindle
The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.
Author | : Miroslav Kubat |
Publisher | : Springer |
Total Pages | : 348 |
Release | : 2017-08-31 |
Genre | : Computers |
ISBN | : 3319639137 |
Download An Introduction to Machine Learning Book in PDF, ePub and Kindle
This textbook presents fundamental machine learning concepts in an easy to understand manner by providing practical advice, using straightforward examples, and offering engaging discussions of relevant applications. The main topics include Bayesian classifiers, nearest-neighbor classifiers, linear and polynomial classifiers, decision trees, neural networks, and support vector machines. Later chapters show how to combine these simple tools by way of “boosting,” how to exploit them in more complicated domains, and how to deal with diverse advanced practical issues. One chapter is dedicated to the popular genetic algorithms. This revised edition contains three entirely new chapters on critical topics regarding the pragmatic application of machine learning in industry. The chapters examine multi-label domains, unsupervised learning and its use in deep learning, and logical approaches to induction. Numerous chapters have been expanded, and the presentation of the material has been enhanced. The book contains many new exercises, numerous solved examples, thought-provoking experiments, and computer assignments for independent work.