Book Description
A thirteen-year-old with a talent for throwing loops and who lives on a ranch with his father and grandfather yearns for a roping horse.
Author : Ákos Császár
Publisher :
Page : 652 pages
File Size : 18,71 MB
Release : 1974
Category : Mathematics
ISBN :
A thirteen-year-old with a talent for throwing loops and who lives on a ranch with his father and grandfather yearns for a roping horse.
Author : Solomon Lefschetz
Publisher : Princeton University Press
Page : 137 pages
File Size : 16,28 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400882338
Solomon Lefschetz pioneered the field of topology--the study of the properties of manysided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more in-depth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology. Lefschetz moved to the United States from France in 1905 at the age of twenty-one to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph.D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a world-class scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946.
Author : Mahender Singh
Publisher : Springer
Page : 318 pages
File Size : 14,29 MB
Release : 2019-02-02
Category : Mathematics
ISBN : 9811357420
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.
Author : Stevo Todorcevic
Publisher :
Page : 168 pages
File Size : 18,54 MB
Release : 2014-01-15
Category :
ISBN : 9783662190845
Author : Lowell W. Beineke
Publisher : Cambridge University Press
Page : 387 pages
File Size : 46,75 MB
Release : 2009-07-09
Category : Mathematics
ISBN : 1139643681
The use of topological ideas to explore various aspects of graph theory, and vice versa, is a fruitful area of research. There are links with other areas of mathematics, such as design theory and geometry, and increasingly with such areas as computer networks where symmetry is an important feature. Other books cover portions of the material here, but there are no other books with such a wide scope. This book contains fifteen expository chapters written by acknowledged international experts in the field. Their well-written contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory and the topology of surfaces. Each chapter concludes with an extensive list of references.
Author : Tai-Danae Bradley
Publisher : MIT Press
Page : 167 pages
File Size : 12,25 MB
Release : 2020-08-18
Category : Mathematics
ISBN : 0262359626
A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.
Author : Jerzy Kąkol
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 24,61 MB
Release : 2011-08-30
Category : Mathematics
ISBN : 1461405297
"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings. This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Author : Steven G. Krantz
Publisher : CRC Press
Page : 422 pages
File Size : 49,14 MB
Release : 2009-07-28
Category : Mathematics
ISBN : 1420089757
Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
Author : Fred H. Croom
Publisher : Courier Dover Publications
Page : 340 pages
File Size : 23,97 MB
Release : 2016-02-17
Category : Mathematics
ISBN : 0486801543
Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.
Author : Gordon Thomas Whyburn
Publisher : American Mathematical Soc.
Page : 295 pages
File Size : 39,20 MB
Release : 1963
Category : Mathematics
ISBN : 0821810286
"The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.