Felix Hausdorff
DOWNLOAD
AUDIOBOOK
READ ONLINE
Download Felix Hausdorff PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Felix Hausdorff book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Felix Hausdorff
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Egbert Brieskorn
language : en
Publisher: Springer Nature
Release Date : 2024
Felix Hausdorff written by Egbert Brieskorn and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024 with Mathematicians categories.
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
Set Theory
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Felix Hausdorff
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-08-24
Set Theory written by Felix Hausdorff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-24 with Education categories.
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.”
Hausdorff On Ordered Sets
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Felix Hausdorff
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Hausdorff On Ordered Sets written by Felix Hausdorff and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor's Continuum Problem and the challenge of well-ordering the real numbers the first problem of his famous lecture at the international congress in Paris. Thus, as the nineteenth century came to a close and the twentieth century began, Cantor's work was finally receiving its due and Hilbert had made one of Cantor's most important conjectures his number one problem. It was time for the second generation of Cantorians to emerge. Foremost among this group were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and developed set theory as a branch of mathematics worthy of study in its own right, capable of supporting both general topology and measure theory. He is recognized as the era's leading Cantorian. Hausdorff published seven articles in set theory during the period 1901-1909, mostly about ordered sets. This volume contains translations of these papers with accompanying introductory essays. They are highly accessible, historically significant works, important not only for set theory, but also for model theory, analysis and algebra. This book is suitable for graduate students and researchers interested in set theory and the history of mathematics. Also available from the AMS by Felix Hausdorff are the classic work, Grundzuge der Mengenlehre, and its English translation, Set Theory, as Volume 69 and Volume 119 in the AMS Chelsea Publishing series. Information for our distributors: Copublished with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.
Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Janusz Czyz
language : en
Publisher: World Scientific
Release Date : 1994-01-14
Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas written by Janusz Czyz and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-14 with Mathematics categories.
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Felix Hausdorff
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Egbert Brieskorn
language : en
Publisher: Birkhäuser
Release Date : 2024-04-11
Felix Hausdorff written by Egbert Brieskorn and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-11 with Mathematics categories.
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.
Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Janusz Czy?
language : en
Publisher: World Scientific
Release Date : 1994
Paradoxes Of Measures And Dimensions Originating In Felix Hausdorff S Ideas written by Janusz Czy? and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.
Recent Developments Of General Topology And Its Applications
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Werner Gähler
language : en
Publisher: Wiley-VCH
Release Date : 1992-10-23
Recent Developments Of General Topology And Its Applications written by Werner Gähler and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-10-23 with Mathematics categories.
This volume contains the main part of the lectures contributed to the conference. They reflect the new trends of development in general topology.
Handbook Of The History Of General Topology Felix Hausdorff 1868 1942
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Charles E. Aull
language : en
Publisher:
Release Date : 1997
Handbook Of The History Of General Topology Felix Hausdorff 1868 1942 written by Charles E. Aull and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Topology categories.
Recent Developments Of General Topology And Its Applications
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Werner Gahler
language : en
Publisher:
Release Date : 1992
Recent Developments Of General Topology And Its Applications written by Werner Gahler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Topology categories.
Topics In Noncommutative Algebra
DOWNLOAD
AUDIOBOOK
READ ONLINE
Author : Andrea Bonfiglioli
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-12
Topics In Noncommutative Algebra written by Andrea Bonfiglioli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-12 with Mathematics categories.
Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, Numerical Analysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra or not) to understand and apply the statements and numerous corollaries of the main result, provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view and notation, provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincaré, Pascal, Campbell, Baker, Hausdorff and Dynkin, give an outlook on the applications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) and quickly enable the reader, through a description of the state-of-art and open problems, to understand the modern literature concerning a theorem which, though having its roots in the beginning of the 20th century, has not ceased to provide new problems and applications. The book assumes some undergraduate-level knowledge of algebra and analysis, but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool for beginners in Algebra.