Handbook of the History of General Topology: Felix Hausdorff (1868-1942) PDF Download
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Author: Charles E. Aull
Publisher:
ISBN:
Category : Topology
Languages : en
Pages :
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Author: Charles E. Aull
Publisher:
ISBN:
Category : Topology
Languages : en
Pages :
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Author: C.E. Aull
Publisher: Springer Science & Business Media
ISBN: 9780792344797
Category : Mathematics
Languages : en
Pages : 416
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Book Description
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: Egbert Brieskorn
Publisher: Springer Nature
ISBN: 3031521358
Category : Mathematicians
Languages : en
Pages : 512
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Book Description
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:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 780
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Author: José Ferreirós Domínguez
Publisher: Oxford University Press, USA
ISBN: 0198567936
Category : Mathematics
Languages : en
Pages : 455
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Book Description
Aimed at both students and researchers in philosophy, mathematics and the history of science, this edited volume, authored by leading scholars, highlights foremost developments in both the philosophy and history of modern mathematics.
Author: Felix Hausdorff
Publisher: American Mathematical Soc.
ISBN: 1470464942
Category : Education
Languages : en
Pages : 354
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Book Description
This work is a translation into English of the Third Edition of the classic German language work Mengenlehre by Felix Hausdorff published in 1937. From the Preface (1937): “The present book has as its purpose an exposition of the most important theorems of the theory of sets, along with complete proofs, so that the reader should not find it necessary to go outside this book for supplementary details while, on the other hand, the book should enable him to undertake a more detailed study of the voluminous literature on the subject. The book does not presuppose any mathematical knowledge beyond the differential and integral calculus, but it does require a certain maturity in abstract reasoning; qualified college seniors and first year graduate students should have no difficulty in making the material their own … The mathematician will … find in this book some things that will be new to him, at least as regards formal presentation and, in particular, as regards the strengthening of theorems, the simplification of proofs, and the removal of unnecessary hypotheses.”
Author: New York Public Library. Research Libraries
Publisher:
ISBN:
Category : Festschriften
Languages : en
Pages : 490
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Author:
Publisher:
ISBN:
Category : Union catalogs
Languages : en
Pages : 616
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Book Description
Includes entries for maps and atlases.
Author:
Publisher:
ISBN:
Category : English imprints
Languages : en
Pages : 1140
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Author: Birgit Bergmann
Publisher: Springer Science & Business Media
ISBN: 3642224636
Category : Mathematics
Languages : en
Pages : 297
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Book Description
A companion publication to the international exhibition "Transcending Tradition: Jewish Mathematicians in German-Speaking Academic Culture", the catalogue explores the working lives and activities of Jewish mathematicians in German-speaking countries during the period between the legal and political emancipation of the Jews in the 19th century and their persecution in Nazi Germany. It highlights the important role Jewish mathematicians played in all areas of mathematical culture during the Wilhelmine Empire and the Weimar Republic, and recalls their emigration, flight or death after 1933.
