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Sheldon Axler's review

In 1932 Banach published his famous book Théorie des Opérations Linéaires, based on his Polish version published a year earlier. Remarkably, Théorie des Opérations Linéaires remains in print today more than six decades after its original publication, partly because of its historic value as the first monograph on functional analysis but also because of the clean, modern style with which Banach presents the fundamentals of the subject (as created in good part by him and his collaborators). While a graduate student, I read Théorie des Opérations Linéaires to study for my French exam. I remember the thrill of seeing functional analysis developed by a legendary hero of twentieth century mathematics and my delight in his extraordinarily clear writing. I also remember my amusement that what we today call "Banach spaces" are called "spaces of type (B)" in Banach's book. ... Read more

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The relatively new concepts of the Henstock–Kurzweil and McShane integrals based on Riemann type sums are an interesting challenge in the study of integration of Banach space-valued functions. This timely book presents an overview of the concepts developed and results achieved during the past 15 years. The Henstock–Kurzweil and McShane integrals play the central role in the book. Various forms of the integration are introduced and compared from the viewpoint of their generality. Functional analysis is the main tool for presenting the theory of summation gauge integrals. ... Read more

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1995 marked the 50th anniversary of Stefan Banach's death. Until now, the general English speaking public has had no access to an in-depth life story of a mathematician whose name is one of those most often encountered in modern mathematical research. This small volume, originally written in Polish by a well-known reporter, is an effort to fill that gap in the biographical literature. It is based on original archival sources, dozens of interviews with people who knew and remember Banach, and conversations with mathematicians who are familiar with Banach's work and its impact on modern mathematics. The author presents engaging descriptions of Banach's personality and the unusual milieu in which he worked. Further, Chapter V focuses on the famous Scottish café, which like Banach himself, has achieved a mythical dimension in mathematical lore. The English edition has been revised to include new materials and many photographs, and to reflect the interests of a broader international audience. ... Read more

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The man behind the math
In the preface to this book, Roman Kaluza states that "this book contains little of mathematical character," and hence this is not a work on the important mathematical developments of Stefan Banach during his productive life. Nevertheless, it offers a detailed and comprehensive look inside the Polish mathematical and educational communities in the time between the wars. Although Banach left no correspondence or memoirs from which to examine his life, Kaluza does an admirable job reconstructing his career through a comprehensive study of university archives, newsletters, interviews with students and acquaintances, and the recollections of Banach's contemporaries.

Most mathematicians initially become familiar with the name of Stefan Banach through their studies of functional analysis, topology (the Banach space), or through the paradoxical Banach-Tarski theorem, yet they learn nothing about the man himself. This role is well served by Kaluza's book, which may be roughly divided into two parts. The first half of the book addresses the academic development and mathematical work of Banach. The second half concerns the personal and social aspects of Banach's life. Joining these two parts is a fascinating chapter on the Scottish Café, which has attained legendary status in Polish mathematical history, where Banach and other mathematicians struggled with a wide range of important mathematical topics over coffee and cognac.

The first four chapters of the book concentrate on the education and subsequent mathematical contributions of Banach during his career. As a schoolchild, he attended the Henryk Sienkiewwicz Gymnasium in Cracow, a school concentrating in the humanities. An excellent mathematics student, he tutored from the age of 15 and was largely self-taught in the more advanced aspects of his subject. Upon graduation, we learn that he decided to enter into engineering, believing that "mathematics was so highly developed, it would be impossible to do anything new." Enrolling in Lvov Polytechnic, Banach soon realised that a future did exist in mathematics. His meeting with Huglo Steinhaus in Lvov represented a turning point in Banach's life. This meeting is colourfully described by Kaluza using excerpts from the memoirs of Steinhaus. We learn that not only did Banach become acquainted and begin to collaborate with one of Poland's leading mathematicians, it was through Steinhaus that he meets his wife.

The years from 1919 to 1929 represented Banach's most prolific period of research. After the publication of his first paper (in collaboration with Steinhaus) in 1918, Banach produced a remarkable string of results. One of his earliest papers remains his most influential. In "Sur l'équation functionelle f(x + y) = f(x) + f(y)," he demonstrates that measureable solutions to this equation are necessarily continuous, and thus linear. Banach followed this paper with four more in a similar vein, providing the necessary background for his developments in the theory of functional analysis. These early papers, published while Banach was still a student, lead to his Ph.D. thesis on complete normed metric spaces, known now as Banach spaces. Despite his emphasis on the non-mathematical nature of Banach's life, Kaluza does an admirable job in conveying to the reader a sense of the content of Banach's work. He considers the mathematical content of these early papers individually, albeit briefly. At this point the inclusion of a few simple equations instead of unnecessarily long descriptions would be beneficial.

Banach went on to receive his Ph.D. in 1921, and by 1924 was promoted to the "highest possible rank in the [Polish] scientific community" - Professor Ordinarus of mathematics.

Kaluza moves from this most productive period to consider the rest of Banach's mathematical work, from his founding (with Hugo Steinhaus) of the Studia Mathematica in 1929 to his death in 1945. The Studia Mathematica was an important journal that conveyed the recent Polish successes in functional analysis and set theory. Kaluza shows that the Studia was the first mathematical journal to specialise in these areas, thus attracting not only Polish but internationally renowned scholars. In 1932 Banach published his influential monograph The Theory of Linear Operations. This treatise consolidated his published results on linear functional analysis along with a substantial amount of new theorems and applications. During the late 1930s, Banach's output declined sharply, primarily due to the geopolitical situation in Europe. His last (non-posthumous) papers, on non-divergent series of orthogonal functions, appeared in 1940.

To connect the largely intellectual history of the first part of the book to Banach's personal and social life described in the second half, Kaluza provides a fascinating chapter on the legendary Scottish Café. This café, situated near the Lvov institute, became the centre of Polish mathematics during the 1930s. Frequented by Banach, Steinhaus, Ernst Zermelo, and other prominent mathematicians on a regular basis, Kaluza describes the heated discussions on mathematics, politics, and just about anything else occurred between patrons of the café. A major product of these discussions was what became known as The Scottish Book, a large notebook kept at the café where mathematicians could enter problems and offer solutions. This famous notebook, contained entries by Banach and the Polish community, as well as luminaries such as Henri Lebesgue, John von Neumannm, and René Fréchet, was eventually published by Birkhäuser in 1981.

The final half of Through a reporter's eyes concerns the personal and social life of Banach. Kaluza draws heavily upon interviews with Banach's former students and the recollections of his contemporaries. We learn that he was a rather unconventional academic, prone to cancelling large blocks of classes at a time, and spending up to twelve hours a day in the cafés of Lvov. However, he was greatly admired by the student body and regarded as highly talented teacher who could convey the most difficult of concepts with great clarity. The ending of the book describes Banach's life in Lvov under the Nazi and Soviet occupations of World War II. By that time, the thriving Polish academic community of the 1920s and 1930s had disbanded; many sought refuge in England or the United States, and many others were jailed at home. In a chilling description of life under the Nazi occupation, Kaluza details how Banach spent a few months in prison and the remainder of the time working as a "feeder of lice in the Rudolf Weigl Bacteriological Institute,", the standard work-duty for many former academics. Banach suffered greatly under these conditions, and was described by Jadwiga Hallaunbrenner, a Lvov mathematician, as being "exhausted, starved, and wasted away." With the end of the war, Banach was offered the position of Minister of Education in the new Soviet-controlled Polish government, but died soon thereafter of cancer on the 31st of August 1945.

Three appendices included in this work warrant mention. The first, entitled "Mathematics in Stefan Banach's Time," provides a short description of the emergent and increasingly abstract mathematics of the early twentieth century. It provides some background for the non-mathematician in the areas of mathematical logic and set theory to accompany the exposition of Banach's results in the first half of the book. The second appendix is a list of selected publications of Banach. This list includes all his major mathematical papers and textbooks, and thus represents an invaluable source for the historian of mathematics. Finally, a selected bibliography provides a list of articles and reminisces about Banach. Unfortunately, for the English reader, almost all of these are in Polish.

Through a reporter's eyes provides the reader with a short and engaging version of Banach's life. Although this book is described by the author as having a journalistic rather than scientific character, an honest attempt is made to convey the import of Banach's most significant results. The method of summarizing the results of Banach's papers individually is especially useful as anyone with further interest is provided with an exact reference. There are a few minor errors in the first half (some of which may be the result of translation) that mostly concern background material. For example, at one point Kaluza seems to suggest that Cauchy was the creator of the delta-epsilon definition of a limit (it was Weierstraß), and at another point refers to French as being the lingua franca of early twentieth century mathematics, when it was in fact German. Nevertheless, especially considering the fact that Banach left no correspondence, Kaluza does an excellent job in digging through the archives to reconstruct Banach's life. I would recommend this book to anyone interested in early twentieth century mathematics and the European scientific education system. It will also prove to be an important companion to any future historical study of Polish mathematics. ... Read more

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The proceedings contain 71 original research and survey articles in number theory, mostly (but not only) with a special emphasis on diophantine problems and polynomials. Other topics include some aspects of elementary and analytic theory. A number of articles are survey papers written by experts in the field. The Zakopane International Number Theory Conference Proceedings are dedicated to Professor Andrzej Schinzel, the editor-in-chief of the number theory journal "Acta Arithmetica" and an authority on the subject. A noteworthy feature of the proceedings is the large number of articles written by leading mathematicians. ... Read more

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This book presents the proceedings from the conference on algebraic geometry in honor of Professor Friedrich Hirzebruch's 70th Birthday. The event was held at the Stefan Banach International Mathematical Center in Warsaw (Poland). Topics covered in the book include intersection theory, singularities, low-dimensional manifolds, moduli spaces, number theory, and interactions between mathematical physics and geometry. Also included are articles from notes of two special lectures. The first, by Professor M. Atiyah, describes the important contributions to the field of geometry by Professor Hirzebruch. The second article contains notes from the talk delivered at the conference by Professor Hirzebruch. Contributors to the volume are leading researchers in the field. ... 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: Stefan Banach, Casimir Iv Jagiellon, Sigismund Ii Augustus, Alexander Jagiellon, Saint Casimir, Władysław Iv Vasa, Agnieszka Radwańska, Robert Kubica, Urszula Radwańska, Josef Hofmann, Stanisław Wyspiański, Helena Modjeska, Tadeusz Isakowicz-Zaleski, Jan Matejko, Władysław Ii the Exile, Henryk Grossman, Zvi Hecker, Yom-Tov Lipmann Heller, John Ii Casimir Vasa, Richard Tylman, Bronisław Malinowski, Gerard Antoni Ciołek, Jonathan Eybeschutz, Krzysztof Meyer, Emil August Fieldorf, Johann Rafelski, Vladislas Ii of Hungary, Moses Isserles, Catherine Jagellon, Jerzy Stuhr, Roman Ingarden, Chris Pozniak, Yitzhak Pundak, Feliks Koneczny, Daria Werbowy, Maria Pawlikowska-Jasnorzewska, Anna Dymna, Dorota Siudek, Gilda Gray, Józef Bartosik, Jadwiga Jędrzejowska, Countess Maria Carolina Zamoyska, Baron Eligius Franz Joseph Von Münch-Bellinghausen, John I Albert of Poland, Archduchess Maria Christina of Austria, Michał Rola-Żymierski, Marek Kondrat, Wanda Wasilewska, Leon Kruczkowski, Mordechai Gebirtig, Franciszek Macharski, Barbara Kwiatkowska-Lass, Dow Ber Meisels, Stanislaus Hosius, Dj Tomekk, Ignaz Friedman, Albin Francisco Schoepf, Max Judd, Jerzy Kirchmayer, Jan Rokita, Ryszard Horowitz, Yoel Zussman, Adolf Beck, Wojciech Jerzy Has, Haim Nathan Dembitzer, Krzysztof Popczyński, Anna Korzeniak, Leon Schiller, Tomasz Rząsa, Isabella Jagiellon, Dariusz Szwed, Rudolph Maté, Salomon Bochner, Johan Kemper, Marcin Urbaś, Maurycy Gottlieb, Marcin Wasilewski, Dominika Paleta, Ludwika Paleta, Joseph Rosenstock, Andrzej Trzaskowski, Eryk Lipiński, Sophia Jagiellon, Ferdynand Arczyński, Julian Aleksandrowicz, Ludwig Gumplowicz, Helena Rakoczy, Zbigniew Ziobro, Ewa Demarczyk, Leon Chwistek, Marek Koźmiński, Kinga Burza, Łukasz Sosin, Tomasz Marczyński, Jacob Joshua Falk, Michał Pazdan, Tadeusz Estr...More: http://booksllc.net/?id=4418261 ... Read more

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Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Stanisław Leśniewski, Edward Kofler, Alfred Tarski, Stefan Banach, Jan Łukasiewicz, Szolem Mandelbrojt, Marian Rejewski, Piotr Kowalski, Wacław Sierpiński, Cecilia Krieger, Witold Hurewicz, Salomon Bochner, Kazimierz Kuratowski, Tadeusz Banachiewicz, Stanisław Saks, Stefan Mazurkiewicz, Jan Śniadecki, Henryk Zygalski, Hermann Amandus Schwarz, Jerzy Różycki, Andrzej Mostowski, Hugo Steinhaus, Karol Borsuk, Mojzesz Presburger. Non illustré. Mises à jour gratuites en ligne. Extrait : Stanisław Leśniewski (30 mars 1886-13 mai 1939) est un mathématicien, philosophe et logicien polonais qui a contribué à créer et développer l'École de Lvov-Varsovie. Leśniewski est l'une des plus remarquables personnalités scientifiques dans l'histoire de la logique, et appartient à la première génération de l'École de Lvov-Varsovie fondée par Kazimierz Twardowski. Avec Jan Łukasiewicz (créateur de la notation dite polonaise inverse) et Alfred Tarski, qui fut son seul docteur, il forma une troïka qui, durant les décennies 1920 et 1930 firent de Université de Varsovie l'un plus importants centres de recherche de logique mathématique au monde. Ses contributions les plus importantes furent la construction des trois systèmes formels interdépendants que sont la protothétique, l'Ontologie et la méréologie auxquels ils donna des noms d'étymologie grecque. Stanisław Leśniewski est né à Serpoukhov en Russie le 30 mars 1886. Sous la direction du philosophe polonais Kazimierz Twardowski, il présenta en 1912 une thèse de doctorat intitulée Une contribution à l'analyse des propositions existentielles, en partie dirigée contre la thèse de Brentano selon laquelle toute proposition catégorique peut être réduite à une proposition existentielle. Leśniewski s'e...http://booksllc.net/?l=fr ... 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: Wacław Sierpiński, Stefan Banach, Kazimierz Kuratowski, Hugo Steinhaus, Edward Flatau, George Zarnecki, Jerzy Kuryłowicz, Stanisław Kutrzeba, Emil Godlewski, Andrzej Gawroński, Jerzy Strzelczyk, Kazimierz Bartel, Antoni Zygmund, Zygmunt Wojciechowski, Gustaw Holoubek, Tadeusz Banachiewicz, Henryk Samsonowicz, Władysław Konopczyński, Benedykt Dybowski, Szymon Askenazy, Oskar Halecki, Karol Lanckoroński, Gerard Labuda, Stanisław Lorentz, Adam Chętnik, Maria Janion, Henryk Łowmiański, Kazimierz Piwarski, Wacław Sobieski, Stanisław Salmonowicz. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Stefan Banach ( listen) (18921945) was a Polish mathematician who worked in interwar Poland and in Soviet Ukraine. A self-taught mathematics prodigy, Banach was the founder of modern functional analysis and a founder of the Lwów School of Mathematics. Among his most prominent achievements was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of linear-metric space. Notable mathematical concepts named after Banach include the BanachTarski paradox, HahnBanach theorem, BanachSteinhaus theorem, Banach-Mazur game and Banach space. Stefan Banach was born on March 30, 1892, at St. Lazarus General Hospital in Kraków, then part of Austro-Hungarian Galicia. Banach's parents were Stefan Greczek and one Katarzyna Banach, both natives of the Podhale region. Stefan Greczek was born in Ostrowsko near the town of Nowy Targ and at one time was a soldier in the Austro-Hungarian Army stationed in Kraków. Stefan Greczek's father, Józef, was a farmer and a village mayor and Józef's wife, Antonina (née Borkowska) bore the Pomian coat of arms. Banach's mother left him after baptizing him when he was four days old. Her name on the bi...More: http://booksllc.net/?id=29646 ... Read more

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Chapters: Members of the Lwów Scientific Society, Marie Curie, Stefan Banach, Hugo Steinhaus, Ignacy Mościcki, Moses Schorr, Rudolf Weigl, Jan Niecisław Baudouin de Courtenay, Aleksander Brückner, Kazimierz Twardowski, Leon Kozłowski, Stanisław Kutrzeba, Kazimierz Bartel, Jan Czekanowski, Tadeusz Stefan Zieliński, Juliusz Kleiner, Benedykt Dybowski, Roman Longchamps de Bérier, Oskar Halecki, Henryk Arctowski, Michael Bobrzynski, Józef Kallenbach, Władysław Abraham, Oswald Balzer, Władysław Natanson. Source: Wikipedia. Pages: 114. 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: Moses Schorr, Polish: Mojesz Schorr (May 10, 1874 July 8, 1941) was a Rabbi, Polish historian, politician, Bible scholar, assyriologist and orientalist. Schorr was one of the top experts in the scientific life of Galician and Polish Jewry. He was also the first Jewish researcher of Polish archives, historical sources and pinkasim, a noted Assyriologist, the president of the 13th district Bnai Brith Poland, a humanist and reform rabbi who ministered the central synagogue of Poland during its last years before the Nazi annihilation. The range of Moses Schorr's interdisciplinary scholarship is astonishing. Schorr was the first historian who undertook the systematic study of Jewish history in Poland, and Galicia in particular. He made discoveries after finding and translating Babylonian, Assyrian and Hittite legislative annals. As a scholar of the jurisprudence and civilizations of the Ancient Middle East, Schorr can be considered a legal philosopher and sociologist of Ancient Middle Eastern societies. Schorr was personally appointed to the Polish Senate by Polish president Ignacy Mocicki (19261939). Schorr did not belong to any political party, although he was inclined to Zionism. He was active in the social, public a...More: http://booksllc.net/?id=10261403 ... 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: Marie Curie, Stefan Banach, Hugo Steinhaus, Ignacy Mościcki, Moses Schorr, Rudolf Weigl, Jan Niecisław Baudouin de Courtenay, Aleksander Brückner, Kazimierz Twardowski, Leon Kozłowski, Stanisław Kutrzeba, Kazimierz Bartel, Jan Czekanowski, Tadeusz Stefan Zieliński, Juliusz Kleiner, Benedykt Dybowski, Roman Longchamps de Bérier, Oskar Halecki, Henryk Arctowski, Michael Bobrzynski, Józef Kallenbach, Władysław Abraham, Oswald Balzer, Władysław Natanson. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Moses Schorr, Polish: Mojesz Schorr (May 10, 1874 July 8, 1941) was a Rabbi, Polish historian, politician, Bible scholar, assyriologist and orientalist. Schorr was one of the top experts in the scientific life of Galician and Polish Jewry. He was also the first Jewish researcher of Polish archives, historical sources and pinkasim, a noted Assyriologist, the president of the 13th district Bnai Brith Poland, a humanist and reform rabbi who ministered the central synagogue of Poland during its last years before the Nazi annihilation. The range of Moses Schorr's interdisciplinary scholarship is astonishing. Schorr was the first historian who undertook the systematic study of Jewish history in Poland, and Galicia in particular. He made discoveries after finding and translating Babylonian, Assyrian and Hittite legislative annals. As a scholar of the jurisprudence and civilizations of the Ancient Middle East, Schorr can be considered a legal philosopher and sociologist of Ancient Middle Eastern societies. Schorr was personally appointed to the Polish Senate by Polish president Ignacy Mocicki (19261939). Schorr did not belong to any political party, although he was inclined to Zionism. He was active in the social, public and religious life of Polish Jews, and was often chose...More: http://booksllc.net/?id=10261403 ... Read more

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Der Erwerb des Buches enthält gleichzeitig die kostenlose Mitgliedschaft im Buchklub des Verlags zum Ausprobieren - dort können Sie von über einer Million Bücher ohne weitere Kosten auswählen. Das Buch besteht aus Wikipedia-Artikeln: Stefan Banach, Kazimierz Kuratowski, Jerzy Buzek, Manfred Lachs, Ludwik Fleck, Franz Bydlinski, Wilhelm Creizenach, Hilary Koprowski, Tadeusz Stefan Zieliński, Michał Kalecki, Michael Rostovtzeff, Józef Andrzej Gierowski, Harald zur Hausen, Émile Benveniste, Jan Ignacy Niecisław Baudouin de Courtenay, Jacques Hadamard, Norman Borlaug, Tadeusz Kotarbiński, Leopold Infeld, Walter Aufhammer, Winfried Lampert, Adam Schaff, Hans-Dietrich Kahl, Andrzej Trautman, Gerard Labuda, Herbert Mang, Ignacy Chrzanowski, Leszek Nowak, Wolfgang Schmidt, Wiktor Michailowitsch Gluschkow, Kazimierz Ajdukiewicz, Thaddeus Mann, Ludwik Hirszfeld, Alfred Jahn, Tadeusz Banachiewicz, Jerzy Kuryłowicz, Hugo Steinhaus, Stanisław Estreicher, Roman Ingarden, Bohdan Paczyński, Zygmunt Modzelewski, Wiesław Puś, Adam Gierek, Henryk Jabłoński, Krzysztof Skubiszewski, Jerzy Styka, Czesław Ryll-Nardzewski, Eugenio Garin, Władysław Tatarkiewicz, Helmut Moritz, Karol Borsuk, Joachim Dalfen, Stanley Cohen, Zbigniew Ciesielski, Wiesław Żelazko, Jerzy Topolski, Oskar Lange,. Online finden Sie die kostenlose Aktualisierung der Bücher. Nicht dargestellt. Auszug: Manfred Lachs (* 21. April 1914 in Iwano-Frankiwsk; † 14. Januar 1993 in Den Haag) war ein polnischer Diplomat, Rechtswissenschaftler und Hochschullehrer, der sich in vielfältiger Form im Bereich des Völkerrechts profilierte. Er studierte in den 1930er Jahren Rechtswissenschaften an der Krakauer Jagiellonen-Universität sowie in Wien, Nancy und an der London School of Economics und schloss sich während des Zweiten Weltkriegs der polnischen Exilregierung in London an. Nach dem Krieg war er für das polnische Außenministerium tätig und dadurch unter anderem an der Entwicklung des Rapac...http://booksllc.net/?l=de&id=3441846 ... Read more

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Chapters: Bishops of Kraków, Mayors of Kraków, People From Kraków, Stefan Banach, Casimir Iv Jagiellon, Sigismund Ii Augustus, Alexander Jagiellon, Saint Casimir, Władysław Iv Vasa, Agnieszka Radwańska, Robert Kubica, Urszula Radwańska, Josef Hofmann, Stanisław Wyspiański, Helena Modjeska, Tadeusz Isakowicz-Zaleski, Jan Matejko, Władysław Ii the Exile, Henryk Grossman, Zvi Hecker, Yom-Tov Lipmann Heller, John Ii Casimir Vasa, Richard Tylman, Amon Göth, Adam Stefan Sapieha, Bronisław Malinowski, Gerard Antoni Ciołek, Jonathan Eybeschutz, Krzysztof Meyer, Stanislaus of Szczepanów, Emil August Fieldorf, Johann Rafelski, Vladislas Ii of Hungary, Moses Isserles, Catherine Jagellon, Jerzy Stuhr, Roman Ingarden, Chris Pozniak, Yitzhak Pundak, Feliks Koneczny, Daria Werbowy, Maria Pawlikowska-Jasnorzewska, Anna Dymna, Dorota Siudek, Gilda Gray, Józef Bartosik, Jadwiga Jędrzejowska, Countess Maria Carolina Zamoyska, Baron Eligius Franz Joseph Von Münch-Bellinghausen, John I Albert of Poland, Stanisław Dąmbski, Archduchess Maria Christina of Austria, Michał Rola-Żymierski, Marek Kondrat, Wanda Wasilewska, Leon Kruczkowski, Mordechai Gebirtig, Franciszek Macharski, Zbigniew Oleśnicki, Archbishop of Kraków, Barbara Kwiatkowska-Lass, Dow Ber Meisels, John Albert Vasa, Stanislaus Hosius, Dj Tomekk, Ignaz Friedman, Albin Francisco Schoepf, Max Judd, Jerzy Kirchmayer, Jan Rokita, Ryszard Horowitz, Yoel Zussman, Adolf Beck, Wojciech Jerzy Has, Wincenty Kadłubek, Haim Nathan Dembitzer, Krzysztof Popczyński, Anna Korzeniak, Kajetan Sołtyk, Leon Schiller, Tomasz Rząsa, Isabella Jagiellon, Dariusz Szwed, Rudolph Maté, Salomon Bochner, Johan Kemper, Jan Puzyna de Kosielsko, Marcin Urbaś, Maurycy Gottlieb, Marcin Wasilewski, Dominika Paleta, Ludwika Paleta, Joseph Rosenstock, Andrzej Trzaskowski, Eryk Lipiński, Sophia Jagiellon, Ferdynand Arczyński, Julian Aleksandrowicz, Ludwig Gumplowicz, Helena Rakoczy, Zbigniew Ziobro, Ewa Demarczyk, Leon Chw...More: http://booksllc.net/?id=4418261 ... Read more

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Chapters: Stefan Banach, Władysław Orkan, Józef Tischner, Wacław Krzeptowski, Andrzej Dziubek, Zakopower. Source: Wikipedia. Pages: 26. 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: Stefan Banach ( listen) (18921945) was a Polish mathematician who worked in interwar Poland and in Soviet Ukraine. A self-taught mathematics prodigy, Banach was the founder of modern functional analysis and a founder of the Lwów School of Mathematics. Among his most prominent achievements was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of linear-metric space. Notable mathematical concepts named after Banach include the BanachTarski paradox, HahnBanach theorem, BanachSteinhaus theorem, Banach-Mazur game and Banach space. Stefan Banach was born on March 30, 1892, at St. Lazarus General Hospital in Kraków, then part of Austro-Hungarian Galicia. Banach's parents were Stefan Greczek and one Katarzyna Banach, both natives of the Podhale region. Stefan Greczek was born in Ostrowsko near the town of Nowy Targ and at one time was a soldier in the Austro-Hungarian Army stationed in Kraków. Stefan Greczek's father, Józef, was a farmer and a village mayor and Józef's wife, Antonina (née Borkowska) bore the Pomian coat of arms. Banach's mother left him after baptizing him when he was four days old. Her name on the birth certificate is Katarzyna Banach. Later in life Banach would ask his father to tell him his mother's actual identity but would only be told that he had taken an oath of secrecy about it. Stefan Greczek would go on to marry twice and have a son by his first wife and four children by the second. Unusually, Stefan's surname was that of his mother instead of his father, though he received his father's given name. Since Banach's father w...More: http://booksllc.net/?id=29646 ... Read more

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Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Stanisław Lem, Leopold Von Sacher-Masoch, Stefan Banach, Stanislaw Ulam, Wojciech Kilar, Andrzej Żuławski, Karl Radek, Hugo Steinhaus, Stanisław Leszczyński, Alexander Beliavsky, Elena Vesnina, Zbigniew Herbert, Roman Shukhevych, Ludwig Von Mises, Ruslana, Richard Von Mises, Gabriela Zapolska, Larisa Neiland, Jacob Itzhak Niemirower, Józef Koffler, Michał Boym, Alexius Meinong, Jacek Kuroń, Stepan Czmil, Oleh Luzhny, Jerzy Sosnowski, Roman Rosdolsky, Muhammad Asad, John Lhotsky, Grigory Yavlinsky, Salomon Buber, Kazimierz Papée, Meir Balaban, Alfred Redl, Taras Voznyak, Alfred J. Lotka, Wacław Stachiewicz, Josyf Slipyj, Adam Próchnik, Pyotr Valentinovich Trusov, Oleh Tyahnybok, Olga Drahonowska-Małkowska, Julius Edgar Lilienfeld, Peter Rachman, Wojciech Bobowski, Ivan Krypiakevych, Jerzy Siemiginowski-Eleuter, Bohdan Stashynsky, Mikhail Fridman, Tadeusz Bór-Komorowski, Tadeusz Sendzimir, Victoria Kovalchuk, Jan Łukasiewicz, Vasyl Barvinsky, Adam Ulam, Mieczysław Horszowski, David Josef Bach, Jerzy Jan Lerski, Kazimierz Górski, Reuvein Margolies, Alojzy Ehrlich, Jan Parandowski, Michał Karaszewicz-Tokarzewski, Stanisław Jerzy Lec, Lubomyr Husar, Stepan Fedak, Juliusz Zulauf, Jakub Karol Parnas, Dmytro Dontsov, Emanuel Ax, Gabriela Moyseowicz, Klymentiy Sheptytsky, Michael Dorfman, Rose Rand, Taras Chornovil, Oleg Romanishin, Kyryl Studynsky, Stepan Popel, Janusz Onyszkiewicz, Maurice Goldhaber, Edward Gerstenfeld, Kazimierz Bartel, Anatole Vakhnianyn, Moriz Rosenthal, Stanisław Skrowaczewski, Josef Gerstmann, Jan Styka, John Gottowt, Stanisław Ostrowski, Abraham Lempel, Teodor Parnicki, Alfred Biłyk, Ignatz Von Popiel, Markiyan Shashkevych, Franz Doppler, Gideon Hausner, Naftali Herz Tur-Sinai, Zofia Albinowska-Minkiewiczowa, Jakob Gimpel, Leopold Spinner, Eugeniusz Romer, Siegfr... ... Read more

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Chapters: Stefan Banach. Source: Wikipedia. Pages: 298. 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: Stefan Banach ( listen) (18921945) was a Polish mathematician who worked in interwar Poland and in Soviet Ukraine. A self-taught mathematics prodigy, Banach was the founder of modern functional analysis and a founder of the Lwów School of Mathematics. Among his most prominent achievements was the 1932 book, Théorie des opérations linéaires (Theory of Linear Operations), the first monograph on the general theory of linear-metric space. Notable mathematical concepts named after Banach include the BanachTarski paradox, HahnBanach theorem, BanachSteinhaus theorem, Banach-Mazur game and Banach space. Stefan Banach was born on March 30, 1892, at St. Lazarus General Hospital in Kraków, then part of Austro-Hungarian Galicia. Banach's parents were Stefan Greczek and one Katarzyna Banach, both natives of the Podhale region. Stefan Greczek was born in Ostrowsko near the town of Nowy Targ and at one time was a soldier in the Austro-Hungarian Army stationed in Kraków. Stefan Greczek's father, Józef, was a farmer and a village mayor and Józef's wife, Antonina (née Borkowska) bore the Pomian coat of arms. Banach's mother left him after baptizing him when he was four days old. Her name on the birth certificate is Katarzyna Banach. Later in life Banach would ask his father to tell him his mother's actual identity but would only be told that he had taken an oath of secrecy about it. Stefan Greczek would go on to marry twice and have a son by his first wife and four children by the second. Unusually, Stefan's surname was that of his mother instead of his father, though he received his father's given name. Since Banach's father was a private and was prevented by military regulations from marrying, and the mo...More: http://booksllc.net/?id=29646 ... Read more