Walter Purkert's Books

Felix Hausdorff

Mathematician, Philosopher, Man of Letters

By: Egbert Brieskorn,Walter Purkert

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Felix Hausdorff

Mathematician, Philosopher, Man of Letters

By: Egbert Brieskorn,Walter Purkert

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

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Page Count

512

Publisher

Springer Nature

Published Date

ISBN 10

3031521358

ISBN 13

9783031521355

Computability

Computable Functions, Logic, and the Foundations of Mathematics

By: Richard L Epstein,Walter A Carnielli

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Computability

Computable Functions, Logic, and the Foundations of Mathematics

By: Richard L Epstein,Walter A Carnielli

Now in a new edition!--the classic presentation of the theory of computable functions in the context of the foundations of mathematics. Part I motivates the study of computability with discussions and readings about the crisis in the foundations of mathematics in the early 20th century while presenting the basic ideas of whole number, function, proof, and real number. Part II starts with readings from Turing and Post leading to the formal theory of recursive functions. Part III presents sufficient formal logic to give a full development of Gödel's incompleteness theorems. Part IV considers the significance of the technical work with a discussion of Church's Thesis and readings on the foundations of mathematics. This new edition contains the timeline "Computability and Undecidability" as well as the essay "On mathematics".

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Page Count

382

Publisher

Advanced Reasoning Forum

Published Date

ISBN 10

0981550738

ISBN 13

9780981550732

Guide to Reprints

Subject Guide

By: K G Saur Publishing,K. G. Saur Verlag GmbH & Company,Walter de Gruyter GmbH

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Guide to Reprints

Subject Guide

By: K G Saur Publishing,K. G. Saur Verlag GmbH & Company,Walter de Gruyter GmbH

The established reference work Guide to Reprints has been radically reworked for this edition. Bibliographical data was substantially increased where information was obtainable. In addition, the user-friendliness of Guide to Reprints was raised to the high level of other K.G. Saur directories through author-title cross-references, a subject volume, a person index and a publisher index. In this edition, the directory lists more than 60,000 titles from more than 350 publishers.

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Page Count

968

Publisher

Walter de Gruyter

Published Date

ISBN 10

3598238991

ISBN 13

9783598238994

Felix Hausdorff

Mathematician, Philosopher, Man of Letters

By: Egbert Brieskorn,Walter Purkert

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Felix Hausdorff

Mathematician, Philosopher, Man of Letters

By: Egbert Brieskorn,Walter Purkert

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

512

Publisher

Springer Nature

Published Date

ISBN 10

3031521358

ISBN 13

9783031521355

Book's by Walter Purkert

Felix Hausdorff

Felix Hausdorff

Computability

Computability

Guide to Reprints

Guide to Reprints

Felix Hausdorff

Felix Hausdorff

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