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| Author | : Paul Alexandroff |
| Publisher | : Courier Corporation |
| Total Pages | : 68 |
| Release | : 2012-08-13 |
| Genre | : Mathematics |
| ISBN | : 0486155064 |
Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.
| Author | : Stephen Barr |
| Publisher | : Courier Corporation |
| Total Pages | : 244 |
| Release | : 2012-12-04 |
| Genre | : Mathematics |
| ISBN | : 048615274X |
Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.
| Author | : Fred H. Croom |
| Publisher | : Courier Dover Publications |
| Total Pages | : 340 |
| Release | : 2016-02-17 |
| Genre | : Mathematics |
| ISBN | : 0486801543 |
Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.
| Author | : Robert A Conover |
| Publisher | : Courier Corporation |
| Total Pages | : 276 |
| Release | : 2014-05-21 |
| Genre | : Mathematics |
| ISBN | : 0486780015 |
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text. Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975. See every Dover book in print at www.doverpublications.com
| Author | : S.P. Novikov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 326 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 3662105799 |
This up-to-date survey of the whole field of topology is the flagship of the topology subseries of the Encyclopaedia. The book gives an overview of various subfields, beginning with the elements and proceeding right up to the present frontiers of research.
| Author | : I.M. James |
| Publisher | : Elsevier |
| Total Pages | : 1067 |
| Release | : 1999-08-24 |
| Genre | : Mathematics |
| ISBN | : 0080534074 |
Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics. Although its origins may be traced back several hundred years, it was Poincaré who "gave topology wings" in a classic series of articles published around the turn of the century. While the earlier history, sometimes called the prehistory, is also considered, this volume is mainly concerned with the more recent history of topology, from Poincaré onwards.As will be seen from the list of contents the articles cover a wide range of topics. Some are more technical than others, but the reader without a great deal of technical knowledge should still find most of the articles accessible. Some are written by professional historians of mathematics, others by historically-minded mathematicians, who tend to have a different viewpoint.
| Author | : Albert Wilansky |
| Publisher | : Courier Corporation |
| Total Pages | : 399 |
| Release | : 2008-10-17 |
| Genre | : Mathematics |
| ISBN | : 0486469034 |
Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
| Author | : Theodore W. Gamelin |
| Publisher | : Courier Corporation |
| Total Pages | : 258 |
| Release | : 2013-04-22 |
| Genre | : Mathematics |
| ISBN | : 0486320189 |
This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
| Author | : A.V. Arkhangel'skii |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 210 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3642612652 |
This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines.
| Author | : Bert Mendelson |
| Publisher | : Courier Corporation |
| Total Pages | : 226 |
| Release | : 2012-04-26 |
| Genre | : Mathematics |
| ISBN | : 0486135098 |
Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.
