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 .
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.
A Geometric Introduction to Topology
Title | A Geometric Introduction to Topology PDF eBook |
Author | Charles Terence Clegg Wall |
Publisher | Courier Corporation |
Pages | 195 |
Release | 1993-01-01 |
Genre | Mathematics |
ISBN | 0486678504 |
First course in algebraic topology for advanced undergraduates. Homotopy theory, the duality theorem, relation of topological ideas to other branches of pure mathematics. Exercises and problems. 1972 edition.
Outlines of Geometry ...
Title | Outlines of Geometry ... PDF eBook |
Author | Walter Marsham Adams |
Publisher | |
Pages | 130 |
Release | 1869 |
Genre | |
ISBN |
Introduction to Geometry and Topology
Title | Introduction to Geometry and Topology PDF eBook |
Author | Werner Ballmann |
Publisher | Birkhäuser |
Pages | 174 |
Release | 2018-07-18 |
Genre | Mathematics |
ISBN | 3034809832 |
This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems. The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula. The fourth and final chapter is devoted to the fundamentals of differential geometry and traces the development of ideas from curves to submanifolds of Euclidean spaces. Along the way, the book discusses connections and curvature--the central concepts of differential geometry. The discussion culminates with the Gauß equations and the version of Gauß's theorema egregium for submanifolds of arbitrary dimension and codimension. This book is primarily aimed at advanced undergraduates in mathematics and physics and is intended as the template for a one- or two-semester bachelor's course.
Knots, Molecules, and the Universe
Title | Knots, Molecules, and the Universe PDF eBook |
Author | Erica Flapan |
Publisher | |
Pages | 386 |
Release | 2017 |
Genre | |
ISBN | 9781470437350 |
Studyguide for Euclidean and Transformational Geometry
Title | Studyguide for Euclidean and Transformational Geometry PDF eBook |
Author | Cram101 Textbook Reviews |
Publisher | Academic Internet Pub Incorporated |
Pages | 68 |
Release | 2009-10 |
Genre | Education |
ISBN | 9781428837126 |
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: 9780763743666 .