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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.'' ... Read more

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A Classical Book
The classics are must read books. They are short cuts in developing your skills. The only drawback is sometimes its notation. If you want to have a strong background Set Theory by Hausdorff is mandatory. The book is very direct in its approach which requires some attention. Some of its topics are still advanced and no matter what is your field, they may give you some insights in your own expertise. ... Read more

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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. ... Read more

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This volume is produced from digital images created through the University of Michigan University Library's large-scale digitization efforts. The Library seeks to preserve the intellectual content of items in a manner that facilitates and promotes a variety of uses. The digital reformatting process results in an electronic version of the original text that can be both accessed online and used to create new print copies. The Library also understands and values the usefulness of print and makes reprints available to the public whenever possible. This book and hundreds of thousands of others can be found in the HathiTrust, an archive of the digitized collections of many great research libraries. For access to the University of Michigan Library's digital collections, please see http://www.lib.umich.edu and for information about the HathiTrust, please visit http://www.hathitrust.org ... Read more

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This reprint of the original 1914 edition of this famous work contains many topics that had to be omitted from later editions, notably, Symmetric Sets, Principle of Duality, most of the ``Algebra'' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, the Special Methods Applicable in the Euclidean Plane, Jordan's Separation Theorem, the Theory of Content and Measure, the Theory of the Lebesgue Integral. The text is in German. ... Read more

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A seminal set theory-topology text
This book (never translated into English) is of great historical significance.It is still worthy of study. Hausdorff was a leader in the second wave of set theory (post Cantor) and a founder of point-settopology. In his hands set theory became a tool for the workingmathematician. This book still has the power to stir the mathematicalheart. Even a jaded modern reader can learn much from it. There are manywonderful mathematical "set pieces"---a personal favorite is thecontinued fraction expansion of a pair of countable ordinals. The writingis concise, but not without touches of Hausdorff's literary polish. ... Read more

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This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

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This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words.This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book. ... Read more

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Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Alan Turing, Aleksandr Lyapunov, Felix Hausdorff, Paul Ehrenfest, Ludwig Boltzmann, C. P. Ramanujam, Renato Caccioppoli, Andreas Floer, Jenő Egerváry, Yutaka Taniyama, James Maccullagh, Lev Schnirelmann, Dénes Kőnig, Paul Epstein, Arthur Black. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Alan Mathison Turing, OBE, FRS (pronounced ; 23 June 1912 7 June 1954), was an English mathematician, logician, cryptanalyst and computer scientist. He was influential in the development of computer science and providing a formalisation of the concept of the algorithm and computation with the Turing machine, playing a significant role in the creation of the modern computer. During the Second World War, Turing worked for the Government Code and Cypher School at Bletchley Park, Britain's codebreaking centre. For a time he was head of Hut 8, the section responsible for German naval cryptanalysis. He devised a number of techniques for breaking German ciphers, including the method of the bombe, an electromechanical machine that could find settings for the Enigma machine. After the war he worked at the National Physical Laboratory, where he created one of the first designs for a stored-program computer, the ACE. Towards the end of his life Turing became interested in chemistry. He wrote a paper on the chemical basis of morphogenesis, and he predicted oscillating chemical reactions such as the BelousovZhabotinsky reaction, which were first observed in the 1960s. Turing's homosexuality resulted in a criminal prosecution in 1952homosexual acts were illegal in the United Kingdom at that timeand he accepted treatment with female hormones, chemical castration, as an alternative to prison. He died in 1954, several weeks before his 42nd birthday, from an apparently self-administered cyanide...More: http://booksllc.net/?id=1208 ... Read more

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Chapters: Heinrich Hertz, Joseph Schumpeter, Friedrich August Kekulé Von Stradonitz, Felix Hausdorff, Hermann Von Helmholtz, Pope Benedict Xvi, Bruno Bauer, Julius Plücker, Ernst Moritz Arndt, Immanuel Hermann Fichte, Gottfried Kinkel, Friedrich Gottlieb Welcker, Rudolf Clausius, Karl Dietrich Bracher, Carl Schmitt, Klaus Hildebrand, Karl Barth, Philipp Lenard, Eulogius Schneider, Wilhelm Groth, Friedrich Wilhelm Ritschl, Albrecht Ritschl, Heinrich Von Sybel, Barthold Georg Niebuhr, Richard Rothe, Walter Gerlach, Hermann Minkowski, Friedrich Christoph Dahlmann, August Wilhelm Von Hofmann, Shlomo Weber, Muhammad Hamidullah, Julius Von Sachs, August Wilhelm Schlegel, Walter Kaufmann, Franz Leydig, Eduard Study, August Von Bethmann-Hollweg, Annemarie Schimmel, Hermann Usener, Ferdinand Von Richthofen, Friedrich Bleek, Grigol Peradze, Richard Hertwig, Friedrich Wilhelm Argelander, Jacques Tits, Otto Wallach, Martin Noth, Reinhard Selten, Johannes Peter Müller, Heinz-Otto Peitgen, Andreas Franz Wilhelm Schimper, Mary Agria, Max Von Gagern, Heinrich Freiherr Von Stackelberg, Fritz Schulz, Christian Lassen, Eduard Friedrich Wilhelm Pflüger, Friedrich Christian Diez, Christian Gottfried Daniel Nees Von Esenbeck, Karl-Rudolf Koch, Peter Aloys Gratz, Franz Xaver Dieringer, Franz Philip Kaulen, Friedrich Hirzebruch, Wolfgang Paul, Issai Schur, Zeki Velidi Togan, Werner Meyer-Eppler, Theodor Curtius, Ethelbert Stauffer, Karl-Hermann Knoblauch, Isaak August Dorner, Hermann Flohn, Johann Martin Augustin Scholz, Rainer Ludwig Claisen, Heinrich Geißler, Eduard Schönfeld, Johann Friedrich Julius Schmidt, Wilhelm Pfeffer, Hans Meerwein, Gerd Faltings, Johann Karl Ludwig Gieseler, Leo Weisgerber, Sigrid D. Peyerimhoff, Eduard Strasburger, Zenonas Ivinskis, Franz Jakob Clemens, Carl Heinrich Becker, Philipp Franz Von Walther, Anton Dereser, Helmut Gollwitzer, Stefan Müller, Hartmut Erbse, Franz Heinrich Reusch, Hermann Hüffer, Johann Wilhelm Löb...More: http://booksllc.net/?id=39660 ... Read more

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Der Band VIII der Gesammelten Werke Felix Hausdorffs enthält seineliterarischen Schriften, die er unter dem Pseudonym Paul Mongréveröffentlicht hat. Dazu gehören der Gedichtband "Ekstasen", 14 Essays, die zumeist in führenden Literaturzeitschriften der damaligen Zeit erschienen sind sowie das Theaterstück "Der Arzt seiner Ehre", welches in mehr als 30 Städten über 300 mal aufgeführt wurde. In einer Einleitung des Herausgebers wird Hausdorffs literarisches Schaffen in die Literatur der Moderne eingeordnet. AusführlicheKommentare und Erläuterungen erhellen den entstehungsgeschichtlichen Kontext, weisen alle literarischen, historischen, philosophischen und andere Anspielungen und Zitate sorgfältig nach und erklären Begriffe und Sachverhalte, die nicht allgemein geläufig sind. ... Read more

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Chapters: Hannelore Kohl, Felix Hausdorff, Albert Ballin, Marek Hłasko, Sybille Schmitz, Paul Epstein. Source: Wikipedia. Pages: 32. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: Marek Hasko (14 January 1934 in Warsaw 14 June 1969 in Wiesbaden, Germany) a writer and a famous figure of Polish post-war literature. Haskos biography is highly mythologized, and many of the legends about his life he spread himself. Marek was born in Warsaw, as the only son of Maciej Hasko and Maria ucja, née Rosiak . At first he was living with his parents in Zotokos, later they moved to Warsaw. In Haskos family children were baptised relatively late, hence the writer-to-be was baptized on 26 December 1935 in the Church of the Holy Redeemer in Warsaw . It is said that during the baptism ceremony when asked if he renounces the evil spirits Marek answered no. Later these words were reported as the evidence of Mareks strong character. Hasko was three years old when his parents divorced in 1937. Maciej remarried a year later. He died on 13 September 1939, when his only son was five. The war left its stamp on Mareks psyche, later he wrote "it is obvious to me that I am a product of war times, starvation and terror; it is the reason for the intellectual poverty of my short stories. Simply, I can not think up a story which does not end in death, catastrophe, suicide or imprisonment. Some people accuse me of pretending to be a strong man. They are wrong." With the outbreak of World War II, Haskos mother was working in the management secretariat of the City Power Station in Warsaw. During the occupation she was fired and ran a food stall till the beginning of the Warsaw Uprising. In consequence, the financial situation of the family worsened. At this time Marek started his education; however, all documents providing i...More: http://booksllc.net/?id=2000243 ... Read more

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This digital document is an article from Science and Its Times, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 133 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.The histories of science, technology, and mathematics merge with the study of humanities and social science in this interdisciplinary reference work. Essays on people, theories, discoveries, and concepts are combined with overviews, bibliographies of primary documents, and chronological elements to offer students a fascinating way to understand the impact of science on the course of human history and how science affects everyday life. Entries represent people and developments throughout the world, from about 2000 B.C. through the end of the twentieth century. ... Read more

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Band 5 umfaßt die Themenbereiche Astronomie, Optik und Wahrscheinlichkeitstheorie. Er enthält Hausdorffs Dissertation über die Refraktion des Lichtes in der Atmosphäre, zwei Folgearbeiten zum gleichen Thema sowie die Habilitationsschrift über die Extinktion des Lichtes in der Atmosphäre. Es folgt eine Arbeit über geometrische Optik, die unmittelbar an die berühmte Publikation von H. Bruns über das Eikonal anschließt und in der Hausdorff die damals ganz neuen Lieschen Theorien für die Optik nutzbar zu machen suchte.

Auf dem Gebiet der Stochastik veröffentlichte Hausdorff zwei längere Arbeiten, die in verschiedenen Bereichen der Versicherungsmathematik und der Wahrscheinlichkeitsrechnung ihre Spuren hinterlassen haben. Von besonderem historischen Interesse sind die im Band publizierten Stücke aus Hausdorffs Nachlaß, etwa seine Vorlesung "Wahrscheinlichkeitsrechnung" vom Sommersemester 1923 oder seine Briefe an Richard von Mises aus dem Jahre 1919.

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Kapitel: Stefan Banach, David Hilbert, Felix Hausdorff, Sergei Natanowitsch Bernstein, Alexander Grothendieck, Rolf Nevanlinna, Mileva Marić, Constantin Carathéodory, Wladimir Igorewitsch Arnold, Hermann Minkowski, Oswald Teichmüller, Laurent Schwartz, Ludwig Bieberbach, Paul Painlevé, Michael James Lighthill, Israel Gelfand, Richard Courant, Louis Nirenberg, Lars Valerian Ahlfors, Charles-Jean de La Vallée Poussin, Paul Koebe, Leon Lichtenstein, Hans Grauert, Jacques Hadamard, Lennart Carleson, Otto Blumenthal, Jean Dieudonné, Sergei Lwowitsch Sobolew, Erich Kamke, John Willard Milnor, Karl Stein, Alexander Markowitsch Ostrowski, John Edensor Littlewood, August Gutzmer, Heinrich Behnke, René Thom, Mstislaw Wsewolodowitsch Keldysch, Friedrich Moritz Hartogs, Edmund Taylor Whittaker, Hans Jacob Reissner, Erhard Schmidt, Kodaira Kunihiko, Hans Adolph Rademacher, Reinhold Remmert, Konrad Knopp, Shing-Tung Yau, Erich Rothe, Itō Kiyoshi, Robert Jentzsch, Gaston Maurice Julia, Marshall Harvey Stone, Edward N. Lorenz, Harald Bohr, Tassilo Küpper, Jesse Douglas, Peter Thullen, George Mackey, Emil Hilb, Lars Hörmander, Bernhard Baule, Erich Kähler, Andrzej Pelczar, Mark Grigorjewitsch Krein, Roy Patrick Kerr, Clifford Truesdell, Jean Bourgain, Philipp Frank, Michail Alexejewitsch Lawrentjew, Willi Jäger, Hans Hahn, Friedrich Sauvigny, Georg Nöbeling, Henri Cartan, Wilhelm Wirtinger, Olga Alexandrowna Ladyschenskaja, Adrian Constantin, Kurt Friedrichs, Edward Charles Titchmarsh, Franz Rellich, Fritz Noether, Oskar Bolza, Detlev Poguntke, Harro Heuser, Jean-Christophe Yoccoz, Frigyes Riesz, Naum Iljitsch Achijeser, Miroslav Katětov, Pierre-Louis Lions, Mark Neumark, Lars Gårding, Otto Forster, Nikolos Muschelischwili, William Timothy Gowers, Wladimir Iwanowitsch Smirnow, Joseph Kohn, Maurice René Fréchet, Juliusz Schauder, Charles Fefferman, Gregor Michailowitsch Fichtenholz, Friedrich Wilhelm Schäfke, Konrad Königsberger, Jan Mikusiński,...http://booksllc.net/?l=de ... Read more

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High Quality Content by WIKIPEDIA articles! FelixHausdorff (November 8, 1868 - January 26, 1942)was a German mathematician who is considered to be one of the founders of modern topology and who contributedsignificantly to set theory, descriptive set theory,measure theory, function theory, and functional analysis. ... Read more

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Kapitel: Emmy Noether, David Hilbert, Felix Hausdorff, André Weil, Alexander Grothendieck, Alfred Theodor Brauer, Friedrich Hirzebruch, Helmut Hasse, Jean-Pierre Serre, Helmut Wielandt, Armand Borel, Otto Juljewitsch Schmidt, Erich Hecke, Heisuke Hironaka, Bartel Leendert Van Der Waerden, Richard Brauer, Emil Artin, Martin Eichler, Hans Julius Zassenhaus, Jacques Tits, Jean Dieudonné, Karl Dörge, Max Deuring, Leonard E. Dickson, David Bryant Mumford, Olga Taussky-Todd, Claude Chevalley, Harish-Chandra, Jakob Nielsen, William Burnside, Anatoli Iwanowitsch Malzew, Bertram Huppert, Shreeram Abhyankar, Cahit Arf, Garrett Birkhoff, Max Dehn, Boris Nikolajewitsch Delone, Bernhard Neumann, Reinhold Baer, Henri Cartan, Øystein Ore, Wolfgang Lück, Friedrich Karl Schmidt, Hanspeter Kraft, Max August Zorn, Georg Faber, Alfred Young, Karl Menger, Martin Kneser, Melvin Hochster, Giacomo Albanese, Zvonimir Janko, Eliyahu Rips, Oscar Chisini, Günter Harder, Karl-Heinz Zimmermann, Michel Demazure, Thomas Zink, Tsit Yuen Lam, Wolfgang Krull, Uwe Storch, Bruno Buchberger, James Ivan Lepowsky, Hélène Esnault, Peter Schneider, Kazimierz Żorawski, Thomas Ihringer, James Arthur. Aus Wikipedia. Nicht dargestellt. Auszug: Amalie Emmy Noether, German pronunciation: , (23 March 1882 - 14 April 1935) was a German-born mathematician known for her groundbreaking contributions to abstract algebra and theoretical physics. Described by David Hilbert, Albert Einstein and others as the most important woman in the history of mathematics, she revolutionized the theories of rings, fields, and algebras. In physics, Noether's theorem explains the fundamental connection between symmetry and conservation laws. She was born to a Jewish family in the Bavarian town of Erlangen; her father was the mathematician Max Noether. Emmy originally planned to teach French and English after passing the required examinations, but instead studied mathematics at the University of Erla...http://booksllc.net/?l=de ... Read more

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This digital document, covering the life and work of Felix Hausdorff, is an entry from Contemporary Authors, a reference volume published by Thompson Gale. The length of the entry is 2202 words. The page length listed above is based on a typical 300-word page. Although the exact content of each entry from this volume can vary, typical entries include the following information:

• Place and date of birth and death (if deceased)
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