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Author : Paul L. Hasty
Publisher :
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4.:/5 (133 download)
Download or read book ... On the Analysis Situs of a Bounded Two-dimensional Space ... written by Paul L. Hasty and published by . This book was released on 1929 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dudley Weldon Woodard
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.A/5 ( download)
Download or read book On Two-dimensional Analysis Situs written by Dudley Weldon Woodard and published by . This book was released on 1928 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J Scott Carter
Publisher : World Scientific
ISBN 13 : 9814501239
Total Pages : 340 pages
Book Rating : 4.8/5 (145 download)
Download or read book How Surfaces Intersect In Space: An Introduction To Topology (2nd Edition) written by J Scott Carter and published by World Scientific. This book was released on 1995-05-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This marvelous book of pictures illustrates the fundamental concepts of geometric topology in a way that is very friendly to the reader. The first chapter discusses the meaning of surface and space and gives the classification of orientable surfaces. In the second chapter we are introduced to the Möbius band and surfaces that can be constructed from this non-orientable piece of fabric. In chapter 3, we see how curves can fit in surfaces and how surfaces can fit into spaces with these curves on their boundary. Basic applications to knot theory are discussed and four-dimensional space is introduced.In Chapter 4 we learn about some 3-dimensional spaces and surfaces that sit inside them. These surfaces help us imagine the structures of the larger space.Chapter 5 is completely new! It contains recent results of Cromwell, Izumiya and Marar. One of these results is a formula relating the rank of a surface to the number of triple points. The other major result is a collection of examples of surfaces in 3-space that have one triple point and 6 branch points. These are beautiful generalizations of the Steiner Roman surface.Chapter 6 reviews the movie technique for examining surfaces in 4-dimensional space. Various movies of the Klein bottle are presented, and the Carter-Saito movie move theorem is explained. The author shows us how to turn the 2-sphere inside out by means of these movie moves and this illustration alone is well worth the price of the book!In the last chapter higher dimensional spaces are examined from an elementary point of view.This is a guide book to a wide variety of topics. It will be of value to anyone who wants to understand the subject by way of examples. Undergraduates, beginning graduate students, and non-professionals will profit from reading the book and from just looking at the pictures.
Author : C. Herbert Clemens
Publisher : American Mathematical Soc.
ISBN 13 : 1470447606
Total Pages : 142 pages
Book Rating : 4.4/5 (74 download)
Download or read book Two-Dimensional Geometries: A Problem-Solving Approach written by C. Herbert Clemens and published by American Mathematical Soc.. This book was released on 2019-03-20 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on two-dimensional geometry uses a problem-solving approach to actively engage students in the learning process. The aim is to guide readers through the story of the subject, while giving them room to discover and partially construct the story themselves. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space. One useful feature is that the book can be adapted to suit different audiences. The first half of the text covers plane geometry without and with Euclid's Fifth Postulate, followed by a brief synthetic treatment of spherical geometry through the excess angle formula. This part only requires a background in high school geometry and basic trigonometry and is suitable for a quarter course for future high school geometry teachers. A brief foray into the second half could complete a semester course. The second half of the text gives a uniform treatment of all the complete, simply connected, two-dimensional geometries of constant curvature, one geometry for each real number (its curvature), including their groups of isometries, geodesics, measures of lengths and areas, as well as formulas for areas of regions bounded by polygons in terms of the curvature of the geometry and the sum of the interior angles of the polygon. A basic knowledge of real linear algebra and calculus of several (real) variables is useful background for this portion of the text.
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Author : United States. Dept. of the Interior
Publisher :
ISBN 13 :
Total Pages : 1250 pages
Book Rating : 4.3/5 (91 download)
Download or read book Report of the Department of the Interior ... [with Accompanying Documents]. written by United States. Dept. of the Interior and published by . This book was released on 1929 with total page 1250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821852345
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)
Download or read book Papers on Topology written by and published by American Mathematical Soc.. This book was released on with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : JAMES W. CANNON
Publisher :
ISBN 13 : 9781470443238
Total Pages : 389 pages
Book Rating : 4.4/5 (432 download)
Download or read book Two-Dimensional Spaces, Volumes 1, 2, And 3 written by JAMES W. CANNON and published by . This book was released on 2018-02-28 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This three-volume collection is devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.
Author : American Mathematical Society. Colloquium
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (1 download)
Download or read book The Cambridge Colloquium 1916: Analysis situs, by O. Veblen written by American Mathematical Society. Colloquium and published by . This book was released on 1922 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Howard University
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.3/5 ( download)
Download or read book Report of the President of Howard University to the Secretary of the Interior written by Howard University and published by . This book was released on 1921 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oswald Veblen
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (327 download)
Download or read book Analysis Situs written by Oswald Veblen and published by . This book was released on 1922 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James W. Cannon
Publisher :
ISBN 13 : 9781470437169
Total Pages : 0 pages
Book Rating : 4.4/5 (371 download)
Download or read book Two-dimensional Spaces written by James W. Cannon and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. 1. Geometry of lengths, areas, and volumes -- v. 2. Topology as fluid geometry -- v. 3. Non Euclidean geometry and curvature
Author : Robert Geroch
Publisher : Minkowski Institute Press
ISBN 13 : 1927763185
Total Pages : 157 pages
Book Rating : 4.9/5 (277 download)
Download or read book Topology written by Robert Geroch and published by Minkowski Institute Press. This book was released on 2013-11-21 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the branch of mathematics called topology. But its larger purpose is to illustrate how mathematics works: The interplay between intuition on the one hand and a pure mathematical formulation on the other. Thus, we develop the axioms for a topological space, formulate definitions within the context of those axioms and actually prove theorems from the axioms. But underlying all this is our intuition about topology. It is this intuition that guides and gives "meaning" to the definitions we make and to the theorems we prove. No prior knowledge of mathematics is assumed. In fact, these were originally the notes for a course for freshman non-scientists. This book, including over 100 figures and problem sets with solutions, should be of interest to those who would like to understand what mathematics is all about, as well as those who would like to learn about the this important branch of mathematics.
Author : E.E. Moise
Publisher : Springer Science & Business Media
ISBN 13 : 1461299063
Total Pages : 272 pages
Book Rating : 4.4/5 (612 download)
Download or read book Geometric Topology in Dimensions 2 and 3 written by E.E. Moise and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric topology may roughly be described as the branch of the topology of manifolds which deals with questions of the existence of homeomorphisms. Only in fairly recent years has this sort of topology achieved a sufficiently high development to be given a name, but its beginnings are easy to identify. The first classic result was the SchOnflies theorem (1910), which asserts that every 1-sphere in the plane is the boundary of a 2-cell. In the next few decades, the most notable affirmative results were the "Schonflies theorem" for polyhedral 2-spheres in space, proved by J. W. Alexander [Ad, and the triangulation theorem for 2-manifolds, proved by T. Rad6 [Rd. But the most striking results of the 1920s were negative. In 1921 Louis Antoine [A ] published an extraordinary paper in which he 4 showed that a variety of plausible conjectures in the topology of 3-space were false. Thus, a (topological) Cantor set in 3-space need not have a simply connected complement; therefore a Cantor set can be imbedded in 3-space in at least two essentially different ways; a topological 2-sphere in 3-space need not be the boundary of a 3-cell; given two disjoint 2-spheres in 3-space, there is not necessarily any third 2-sphere which separates them from one another in 3-space; and so on and on. The well-known "horned sphere" of Alexander [A ] appeared soon thereafter.
Author : Lewis Darwin Ames
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.A/5 ( download)
Download or read book An Arithmetic Treatment of Some Problems in Analysis Situs ... written by Lewis Darwin Ames and published by . This book was released on 1905 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frederick Converse Beach
Publisher :
ISBN 13 :
Total Pages : 1104 pages
Book Rating : 4.:/5 (27 download)
Download or read book The Americana written by Frederick Converse Beach and published by . This book was released on 1906 with total page 1104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : United States. Department of the Interior
Publisher :
ISBN 13 :
Total Pages : 1212 pages
Book Rating : 4.:/5 (311 download)
Download or read book Annual Report of the Department of the Interior written by United States. Department of the Interior and published by . This book was released on 1929 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jürgen Jost
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.3/5 (91 download)
Download or read book Two-Dimensional Geometric Variational Problems written by Jürgen Jost and published by . This book was released on 1991-03-29 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats variational problems for mappings from a surface equipped with a conformal structure into Euclidean space or a Riemannian manifold. Presents a general theory of such variational problems, proving existence and regularity theorems with particular conceptual emphasis on the geometric aspects of the theory and thorough investigation of the connections with complex analysis. Among the topics covered are: Plateau's problem, the regularity theory of solutions, a variational approach for obtaining various conformal representation theorems, a general existence theorem for harmonic mappings, and a new approach to Teichmuller theory via harmonic maps.
