Processing ......
FreeComputerBooks.com
Links to Free Computer, Mathematics, Technical Books all over the World
 
Geometry with an Introduction to Cosmic Topology
Top Free Unix/Linux Books 🌠 - 100% Free or Open Source!
  • Title: Geometry with an Introduction to Cosmic Topology
  • Author(s) Michael P. Hitchman
  • Publisher: CreateSpace (June 8, 2018); eBook (2020 Edition, Creative Commons Licensed)
  • License(s): CC BY 4.0
  • Paperback: 275 pages
  • eBook: HTML and PDF
  • Language: English
  • ASIN/ISBN-10: 1717134815
  • ISBN-13: 978-1717134813
  • Share This:  

Book Description

This book follows the Erlangen program to develop hyperbolic, elliptic, and Euclidean geometry - three possibilities for the global geometry of the universe.

The text uses Mobius transformations in the extended complex plane to define and investigate these three candidate geometries, thereby providing a natural setting in which to express results common to them all, as well as results that encapsulate key differences.

With these geometries in hand, the text then explores the interplay between the shape of a space and the type of geometry it admits.

About the Authors
  • N/A
Reviews, Ratings, and Recommendations: Related Book Categories: Read and Download Links: Similar Books:
  • Sheaf Theory through Examples (Daniel Rosiak)

    Taking an applied category theory perspective, this book provides an approachable introduction to elementary sheaf theory and examines applications. It seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications,

  • Relativity: The Special and General Theory (Albert Einstein)

    The great physicist himself disclaimed this exclusionary view, and in this book, he explains both theories in their simplest and most intelligible form for the layman not versed in the mathematical foundations of theoretical physics.

  • The Einstein Theory of Relativity (Hendrik A. Lorentz)

    The books published on the subject are so technical that only a person trained in pure physics and higher mathematics is able to fully understand them. In order to make a popular explanation of this far-reaching theory available, the present book is published.

  • An Advanced Course in General Relativity (Eric Poisson)

    Focusing on conceptual clarity, he derives all the basic results in the simplest way, taking care to explain the physical, philosophical and mathematical ideas at the heart of "the most beautiful of all scientific theories".

  • Topology without Tears (Sidney A. Morris)

    General topology is the branch of topology dealing with the basic set-theoretic definitions and constructions used in topology. The aim of this is to provide a thorough grouding of general topology. It offers an ideal introduction to the fundamentals of topology.

  • Topological Groups: Yesterday, Today, Tomorrow (Sidney A. Morris)

    In 1900, David Hilbert asked whether each locally euclidean topological group admits a Lie group structure. This was the fifth of his famous 23 questions which foreshadowed much of the mathematical creativity of the twentieth century.

  • Topology: A Categorical Approach (Tai-Danae Bradley, et al)

    A graduate-level textbook that presents basic topology from the perspective of category theory. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them.

  • Introduction to Topology (Bert Mendelson, et al.)

    This concise book offers an ideal introduction to the fundamentals of topology. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure.

  • Manifolds - Current Research Areas (Paul Bracken)

    This book cover a number of subjects which will be of interest to workers in these areas. It is hoped that the papers here will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

  • Quasi-projective Moduli for Polarized Manifolds (Eckart Viehweg)

    This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms.

  • Foliations and the Geometry of 3-Manifolds (Danny Calegari)

    This book is to expose the "pseudo-Anosov" theory of foliations of 3-manifolds, which generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

Book Categories
:
Other Categories
Resources and Links