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Author : Anonim
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 40,6 Mb
Release : 2024-06-13
Category : Electronic
ISBN : 9780821852347
Author : M. F. Bokstein
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 45,8 Mb
Release : 1959-12-31
Category : Mathematics
ISBN : 0821895478
Author : Anonim
Publisher : American Mathematical Soc.
Page : 312 pages
File Size : 45,6 Mb
Release : 1966-12-31
Category : Algebra
ISBN : 0821896342
Author : L. M. Abramov
Publisher : American Mathematical Soc.
Page : 308 pages
File Size : 49,5 Mb
Release : 1964-12-31
Category : Mathematics
ISBN : 0821896199
Author : Yu. M. Smirnov,A. D. Aleksandrov
Publisher : American Mathematical Soc.
Page : 428 pages
File Size : 40,6 Mb
Release : 1962
Category : Mathematics
ISBN : 0821817213
Author : Chow Sho-kwan
Publisher : American Mathematical Soc.
Page : 352 pages
File Size : 47,9 Mb
Release : 1964-12-31
Category : Algebraic topology
ISBN : 0821896180
Author : Max Dehn
Publisher : Springer Science & Business Media
Page : 404 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461246688
The work of Max Dehn (1878-1952) has been quietly influential in mathematics since the beginning of the 20th century. In 1900 he became the first to solve one of the famous Hilbert problems (the third, on the decomposition of polyhedra), in 1907 he collaborated with Heegaard to produce the first survey of topology, and in 1910 he began publishing his own investigations in topology and combinatorial group theory. His influence is apparent in the terms Dehn's algorithm, Dehn's lemma and Dehn surgery (and Dehnsche Gruppenbilder, generally known in English as Cayley diagrams), but direct access to his work has been difficult. No edition of his works has been produced, and some of his most important results were never published, at least not by him. The present volume is a modest attempt to bring Dehn's work to a wider audience, particularly topologists and group theorists curious about the origins of their subject and interested in mining the sources for new ideas. It consists of English translations of eight works : five of Dehn's major papers in topology and combinatorial group theory, and three unpublished works which illuminate the published papers and contain some results not available elsewhere. In addition, I have written a short introduction to each work, summarising its contents and trying to establish its place among related works of Dehn and others, and I have added an appendix on the Dehn-Nielsen theorem (often known simply as Nielsen's theorem) .
Author : Herbert Edelsbrunner,John L. Harer
Publisher : American Mathematical Society
Page : 241 pages
File Size : 44,9 Mb
Release : 2022-01-31
Category : Mathematics
ISBN : 9781470467692
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
Page : 432 pages
File Size : 43,6 Mb
Release : 2024-06-13
Category : Mathematics
ISBN : 0821886258
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.
Author : Allen Hatcher
Publisher : Cambridge University Press
Page : 572 pages
File Size : 45,7 Mb
Release : 2002
Category : Mathematics
ISBN : 0521795400
An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.
Author : Henri Poincaré
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 42,8 Mb
Release : 2010-01-01
Category : Mathematics
ISBN : 9780821890554
The papers in this book chronicle Henri Poincare's Journey in algebraic topology between 1892 and 1904, from his discovery of the fundamental group to his formulation of the Poincare conjecture. For the first time in English translation, one can follow every step (and occasional stumble) along the way, with the help of translator John Stillwell's introduction and editorial comments. Now that the Poincare conjecture has finally been proved, by Grigory perelman, it seems timely to collect the papers that from the background to this famous conjecture. Poincare's papers are in fact the first draft of algebraic topology, introducing its main subject matter (manifolds) and basic concepts (homotopy and homology). All mathematicians interested in topology and its history will enjoy this book. These famous papers, with their characteristic mixture of deep insight and inevitable confusion, are here presented complete and in English for the first time, with a commentary by their translator, John Stillwell, that guides the reader into the beart of the subject. One of the finest works of one of the great mathematicians is now available anew for students and experts alike.---Jeremy Gray The AMS and John Stillwell have made an important contribution to the mathematics literature in this translation of Poincare. For many of us, these great papers on the foundations of topology are given greater clarity in English. Moreover, reading Poincare here illustrates the ultimate in research by successive approximations (akin to my own way of mathematical thinking)---Stephen Smale I am a proud owner of the original complete works in green leather in French bought for a princely sum in Paris around 1975. I have read in them exten-sively, and often during topology lectures I refer to parts of these works. I am happy that there is now the option for my students to read them in English---Dennis Sullivan
Author : Raoul Bott,Loring W. Tu
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 44,5 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475739510
Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.
Author : A. V. Arkhangelʹskiĭ
Publisher : American Mathematical Soc.
Page : 262 pages
File Size : 44,5 Mb
Release : 1968
Category : Mathematics
ISBN : 0821817787
Author : D.A. Vladimirov,P. S. Aleksandrov,S.L. Sobolev,G. S. Cogosvili,P. S. M. Bognar,V. I. Ponomarev,L. M. Gluskin,V. A. Rohlin
Publisher : American Mathematical Soc.
Page : 358 pages
File Size : 47,9 Mb
Release : 1963
Category : Mathematics
ISBN : 0821817302
Author : V. A. Andrunakievič
Publisher : Unknown
Page : 288 pages
File Size : 53,8 Mb
Release : 1966
Category : Algebra
ISBN : UCSD:31822020206900