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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 111 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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Chapters: Kurt Gödel, Christian Doppler, Georg Joachim Rheticus, Leopold Vietoris, Karl Menger, Georg Von Peuerbach, Emil Artin, Richard Von Mises, Hilda Geiringer, Otto E. Neugebauer, Simon Von Stampfer, Johann Radon, Eberhard Hopf, Leo Perutz, Hellmuth Stachel, Nikolaus Hofreiter, Theodor Von Oppolzer, Georg Kreisel, Salomon Bochner, Karl Sigmund, Andreas Von Ettingshausen, Sy Friedman, Frank Spitzer, Georg Alexander Pick, Franz Alt, Bruno Buchberger, Henry O. Pollak, Edmund Hlawka, Hermann Rothe, Felix Pollaczek, Leopold Gegenbauer, Andreas Stoberl, Otto Stolz, Wilhelm Wirtinger, Adam Tanner, Karl Zsigmondy, Karl Weissenberg, Hans Weinberger, Josef Finger, Wolfgang Gröbner, Walther Mayer, Philipp Furtwängler, Ernst Sigismund Fischer, Wilhelm Blaschke, Otto Schreier, Heinrich Franz Friedrich Tietze, Emil Weyr, Anton Felkel, August Adler, Eduard Helly, Herta Freitag. Source: Wikipedia. Pages: 175. 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: Emil Artin (March 3, 1898, in Vienna December 20, 1962, in Hamburg) was an Austrian-Armenian mathematician. The mathematician Emil Artin was born on March 3, 1898 in Vienna to parents Emma Maria, née Laura (stage name Clarus), a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of Armenian descent. Several documents, including Emils birth certificate, list the fathers occupation as opera singer though others list it as art dealer. It seems at least plausible that he and Emma had met as colleagues in the theater. They had been married in St. Stephen's Parish on July 24, 1895. Emil entered school in September 1904, presumably in Vienna. By then, his father was already suffering symptoms of advanced syphilis, among them increasing mental instability, and was eventually institutionalized at the rece...More: http://booksllc.net/?id=245351 ... Read more

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Chapters: Emil Artin. Source: Wikipedia. Pages: 706. 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: Emil Artin (March 3, 1898, in Vienna December 20, 1962, in Hamburg) was an Austrian-Armenian mathematician. The mathematician Emil Artin was born on March 3, 1898 in Vienna to parents Emma Maria, née Laura (stage name Clarus), a soubrette on the operetta stages of Austria and Germany, and Emil Hadochadus Maria Artin, Austrian-born of Armenian descent. Several documents, including Emils birth certificate, list the fathers occupation as opera singer though others list it as art dealer. It seems at least plausible that he and Emma had met as colleagues in the theater. They had been married in St. Stephen's Parish on July 24, 1895. Emil entered school in September 1904, presumably in Vienna. By then, his father was already suffering symptoms of advanced syphilis, among them increasing mental instability, and was eventually institutionalized at the recently established (and imperially sponsored) insane asylum at Mauer Öhling, 125 kilometers west of Vienna. It is notable that neither wife nor child contracted this highly infectious disease. The senior Emil Artin died there July 20, 1906. Young Emil was eight. On July 15, 1907, Emils mother remarriedher second husband, Rudolf Hübner a prosperous manufacturer in the German-speaking city of Reichenberg, Czechoslovakia (now Liberec, in the Czech Republic). Documentary evidence suggests that Emma had already been resident in Reichenberg the previous year, and in deference to her new husband, she had abandoned her vocal career. Hübner deemed a life in the theater unseemly in the wife of a man of his position. In September, 1907, Emil entered the Volksschule in Strobnitz, a small town in southern Czechoslovakia near the Austrian border. For that year, h...More: http://booksllc.net/?id=245351 ... Read more

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This classic text, written by one of the foremost mathematicians of the 20th century, is now available in a low-priced paperback edition. Exposition is centered on the foundations of affine geometry, the geometry of quadratic forms, and the structure of the general linear group. Context is broadened by the inclusion of projective and symplectic geometry and the structure of symplectic and orthogonal groups. ... Read more

Customer Reviews (1)

Very interesting topic, a classic text
This is a well written classic text on the connection between algebra and geometry.Some of the topics covered include a reconstruction of affine geometry of a field (or division ring) from geometric axioms.A geometry is a triple of a set of points, a set of lines, and a binary relation describing when a point lies on a line and satisfying the following three axioms: (1) any two distinct points are connected by a unique line, (2) given a point P and a line l, there exists a unique line m parallel to l through P, and (3) there exist three points that are not collinear.In order to construct a ring out of this geometry, one must introduce a additional axiom.Axiom 4a: Given any two distinct points P and Q, there exists a translation taking P to Q.In order to show that this ring is a division ring, one must further assume Axiom 4b: Between any two translations with the same direction, there exists a direction preserving homomorphism of the group of translations taking the first translation to the second.Of courses, the notion of translation and direction-preserving needs to be made more precise and this is done in the text.

Of course, the description above covers only a small portion of the book. ... Read more

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Emil Artin was on born March 3, 1898, in Vienna, Austria and died on December 20, 1962, in Hamburg, Germany. He was an Austrian mathematician. He was one of the great thinkers of his generation.Emil Artin was a leading algebraist of the twentieth century. He worked primarily in algebraic number theory, doing pioneering work in class field theory. He exhibited new L-functions generalizing the zeta functions, and (with his student John Tate) developed the cohomological approach to class field theory. He contributed importantly to the theories of groups, rings and fields. He invented the theory of braids in algebraic topology.G. B. Seligman wrote about this book:?Considerable stress is laid on active thinking in following the proofs. Perhaps the outstanding accomplishment of the course is imparting a sense of what constitutes a mathematical proof and an appreciation of the ingenuity which goes into the construction of a proof." ... Read more