[PDF] Handbook Of The History Of General Topology Felix Hausdorff 1868 1942 eBook

Author : C.E. Aull
Publisher : Springer Science & Business Media
Page : 416 pages
File Size : 25,5 MB
Release : 1997-03-31
Category : Mathematics
ISBN : 9780792344797

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This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

Author : Werner Gähler
Publisher : Wiley-VCH
Page : 328 pages
File Size : 31,23 MB
Release : 1992-10-23
Category : Mathematics
ISBN :

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This volume contains the main part of the lectures contributed to the conference. They reflect the new trends of development in general topology.

Author : Egbert Brieskorn
Publisher : Springer Nature
Page : 512 pages
File Size : 37,31 MB
Release : 2024
Category : Mathematicians
ISBN : 3031521358

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Zusammenfassung: Felix Hausdorff is a singular phenomenon in the history of science. As a mathematician, he played a major role in shaping the development of modern mathematics in the 20th century. He founded general topology as an independent mathematical discipline, while enriching set theory with a number of fundamental concepts and results. His general approach to measure and dimension led to profound developments in numerous mathematical disciplines, and today Hausdorff dimension plays a central role in fractal theory with its many fascinating applications by means of computer graphics. Hausdorff 's remarkable mathematical versatility is reflected in his published work: today, no fewer than thirteen concepts, theorems and procedures carry his name. Yet he was not only a creative mathematician - Hausdorff was also an original philosophical thinker, a poet, essayist and man of letters. Under the pseudonym Paul Mongré, he published a volume of aphorisms, an epistemological study, a book of poetry, an oft-performed play, and a number of notable essays in leading literary journals. As a Jew, Felix Hausdorff was increasingly persecuted and humiliated under the National Socialist dictatorship. When deportation to a concentration camp was imminent, he, along with his wife and sister-in law, decided to take their own lives. This book will be of interest to historians and mathematicians already fascinated by the rich life of Felix Hausdorff, as well as to those readers who wish to immerse themselves in the intricate web of intellectual and political transformations during this pivotal period in European history

Author : J. Ferreiros
Publisher : OUP Oxford
Page : 456 pages
File Size : 12,44 MB
Release : 2006-04-27
Category : Mathematics
ISBN : 0191513792

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This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.