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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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An outspoken first-hand account of 19th century mathematics
Klein had apparently meant to expand this work, so one should not take omissions and relative weights of the topics too seriously. Nevertheless what stands must mean something, and the message is clear on what is the main accomplishment of 19th mathematics: complex function theory, comprising almost half the book. The heart and soul of this theory is the theory of elliptic functions and its generalisations (abelian functions, elliptic modular functions, automorphic functions). Those of us who did not absorb the theory of elliptic functions with our mothers' milk feel that we are missing out on something big. Klein is worried as well: "When I was a student, abelian functions were, as an effect of the Jacobian tradition, considered the uncontested summit of mathematics, and each of us was ambitious to make progress in this field. And now? The younger generation hardly knows abelian functions." (p. 294). On the whole, Klein is very fond of grand theories rather than individual results. Gauss took a hint from number theory for his work on elliptic functions, but the working out of the general theory is what we love most. Or take the second largest topic of the book: projective-algebraic geometry. Sure, at first it is a way of dealing with matters of classical geometry, but we are of course overjoyed when it points the way to invariant theory, a grand theory par excellence. There is only one thing we love more than a big theory, and that is when two big theories can be brought together. Thus we rejoice immensely when Riemann's geometrisation of complex function theory enables us to establish deep connections with both algebraic geometry and algebraic number theory. Hooray for the unity of mathematics. "[Narrow specialisation] would bring about the death of the science if it should gain a one-sided acceptance. We ourselves have always striven for the opposite. In our generation we have more or less kept up the contacts between 1) invariant theory, 2) the theory of equations, 3) function theory, 4) geometry, and 5) number theory; and this has been our particular pride." (p. 308). But although function theory has been a success story also in this respect, the potential pompousness of a too grandiose theory construction causes even Klein to have minor reservations about its future development: "Here an enormous prospect opens out into a purely theoretical domain, which, through its general regularities, exerts the greatest aesthetic charm, but, as we cannot neglect to remark, is utterly distant from all applications" (p. 314).

The German edition of this work has a second part which is not included here. It is not a harmonious continuation of the first part (in fact, it's not so much a historical narrative as a monograph aimed at exposing an intellectual path from the beginnings of invariant-theoretic ideas in geometry to their role in Einstein's general theory of relativity, which is by no means the actual historical path, as Klein admits). Still, a translation of this second part would have been infinitely more valuable than Hermann's hundreds of pages of appendixes on modern differential geometry, unkleinian in style and unrelated to Klein's text. ... 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 : Felix Klein, Edmond Halley, Marin Ghetaldi, Gaspard Monge, Apollonius de Perga, Archytas de Tarente, Grigori Perelman, Julius Weisbach, Hermann Weyl, Charles Gustave Jacob Jacobi, André Weil, Bernhard Riemann, Michel Chasles, Wilhelm Blaschke, Jean-Victor Poncelet, Eugenio Beltrami, Ménélaüs D'alexandrie, Pappus, Élie Cartan, Bonaventura Cavalieri, Giovanni Francesco Salvemini Da Castiglione, Wilhelm Wirtinger, Henri Brocard, Abel Burja, Robert Simson, Luigi Bianchi, H.s.m. Coxeter, Hypsiclès, Raoul Bott, Marcel Grossmann, Ibn Al-Banna, Clifford Taubes, Giacinto Morera, Étienne Ghys, Jonathan Shewchuk, Eutocius, Daniel Perrin, Charles Romme. Non illustré. Mises à jour gratuites en ligne. Extrait : Edmond (ou Edmund) Halley (29 octobre 1656, Haggerston, borough de Hackney à Londres - 14 janvier 1742, Greenwich) est un astronome et ingénieur britannique. Ingénieur et scientifique pluridisciplinaire, il est surtout connu pour avoir le premier déterminé la périodicité de la comète de 1682, qu'il fixa par calcul à 76 ans environ. Lors du retour de cette comète en 1758, elle fut baptisée de son nom. C'est l'une des rares comètes qui portent un autre nom que celui de leur découvreur. La date de sa naissance est incertaine : Halley croyait pour sa part qu'il s'agissait du 29 octobre 1656. Il naquit dans le village de Hackney, petit village des environs de Londres, aujourd'hui absorbé par la capitale. De sa mère nous ne connaissons que le nom, Anne Halley, née Robinson. Son père se prénommait également Edmond, et c'était un riche savonnier et marchand de sels qui avait bâti sa fortune sur les récentes horreurs de la peste bubonique, qui avait donné aux londoniens le goût de l'hygiène corporelle. Cet homme n'eut jamais peur de co...http://booksllc.net/?l=fr ... 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 : Carl Friedrich Gauss, Gottfried Wilhelm Leibniz, Emanuel Lasker, Johannes Kepler, Christian Goldbach, Felix Klein, Gottlob Frege, Emmy Noether, Albrecht Dürer, Georg Cantor, David Hilbert, Hermann Günther Grassmann, Ernst Schröder, Ludolph Van Ceulen, Hermann Weyl, Charles Gustave Jacob Jacobi, Hans Freudenthal, Bernhard Riemann, Gustav Roch, Regiomontanus, Andreas Floer, Valentin Otho, Karl Weierstrass, Moritz Cantor, Wolfgang Döblin, Rudolf Eickemeyer, Petrus Apianus, Richard Dedekind, Friedrich Wilhelm Bessel, Ernst Kummer, Hermann Minkowski, Karl Christian Von Langsdorf, Hans Rademacher, Walther Bothe, Johann Peter Gustav Lejeune Dirichlet, Johannes Scheubel, Gerhard Gentzen, Leopold Kronecker, Edmund Landau, Johann Friedrich Weidler, Johannes Werner, Julius Plücker, Franz Ernst Neumann, Friedrich Hultsch, Peter Crüger, Klaus Wagner, Ernst Zermelo, Alfred Clebsch, Johannes Geysius, Bernd Fischer, Christophorus Clavius, Richard Courant, Abraham Adolf Fraenkel, Johann Friedrich Pfaff, Heinz Hopf, Carl Siegel, Ehrenfried Walther Von Tschirnhaus, August Ferdinand Möbius, Heinrich Heesch, Nicolaus Mercator, Georg Hamel, Peter Thullen, Ferdinand Georg Frobenius, Otto Toeplitz, Max Dehn, Alfred Pringsheim, Rudolf Lipschitz, Jürgen K. Moser, Ferdinand Von Lindemann, Felix Hausdorff, Carl Runge, Albert Wangerin, Wilhelm Jordan, Paul Bachmann, Paul Lorenzen, Michael Maestlin, Ferdinand Eisenstein, Pitiscus, Adolf Hurwitz, Ruth Moufang, Johann Faulhaber, Bernd Sturmfels, Joachim Jung, Wilhelm Ackermann, Adam Ries, Otto Hölder, Johann Benedict Listing, Friedrich Risner, Andreas Cellarius, Hermann Hankel, Heinrich Weber, Michael Stifel, Johann Karl Burckhardt, Leopold Löwenheim, Thomas Abbt, Kurt Hensel, Gerd Faltings, Axel Harn...http://booksllc.net/?l=fr ... Read more

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Chapters: University of Erlangen-Nuremberg Alumni, University of Erlangen-Nuremberg Faculty, Georg Ohm, Felix Klein, Louis Agassiz, Justus Von Liebig, Johann Gottlieb Fichte, Hans Geiger, Emmy Noether, Ludwig Tieck, Ferdinand Von Lindemann, Michael Stürmer, Friedrich Wilhelm Joseph Schelling, Samuel Hahnemann, Ludwig Andreas Feuerbach, Fritz Fischer, Otto Bradfisch, Rudolf Fleischmann, Hans Kopfermann, Gerhard Von Rad, Walter Burkert, Emil Frommel, Friedrich Kohlrausch, Helmut Volz, Gottlieb Christoph Adolf Von Harless, Friedrich Rückert, Eduard Buchner, Hans Magnus Enzensberger, Hellmut Diwald, Balthazar Foster, 1st Baron Ilkeston, Julius Friedrich Heinrich Abegg, Martin Noth, Johann Radon, Ludwig Waldmann, Heinrich Leo, Christian Gottfried Daniel Nees Von Esenbeck, Gerhard Frey, Werner Elert, Karl Christian Von Langsdorf, Friedrich Hirzebruch, Thomas Wiegand, Karl Albrecht Schachtschneider, Markus Kuhn, Emil Selenka, Karlheinz Brandenburg, Johann Christian Daniel Von Schreber, Paul Albert Gordan, Johann Georg Heinrich Feder, Alexander Von Middendorff, Horst Steinmann, Heinrich Hansen, Heinz Bauer, Louis Stromeyer, Wilhelm Olivier Leube, Joseph Von Gerlach, Karl Thiersch, Hermann Von Ihering, Adolph Strümpell, Hermann Olshausen, Anton Vilsmeier, Johann Michael Leupoldt, Franz Seraph Streber, Karl Wilhelm Gottlob Kastner, Karl Ernst Theodor Schweigger, Franz Xaver Schmid, Adolf Schulten, Helmuth Von Maltzahn, Wilhelm Heinrich Wackenroder, Franz Dittrich, Johann Ernst Fabri, Hermann Haken, Johann Salomo Christoph Schweigger, Julius Von Michel, Anton Ludwig Ernst Horn, Peter Wasserscheid, Isidor Rosenthal, Eugen Rosshirt, Gottfried Thomasius, Johann Wilhelm Friedrich Höfling, Georg Lippold, Christoph Friedrich Von Ammon, Georg Wannagat, Georg August Goldfuss, Franz Penzoldt, Karl Ludwig Ernst Schroeder, Gerd Wedler, Nikola Biller-Andorno, Eugen Von Lommel, Ludwig Curtius, Rudolf Kohlrausch, Gottlieb Christoph Harless, Hermann ...More: http://booksllc.net/?id=149896 ... Read more

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Aus Wikipedia. Nicht dargestellt. Auszug: Felix Christian Klein (25 April 1849 - 22 June 1925) was a German mathematician, known for his work in group theory, function theory, non-Euclidean geometry, and on the connections between geometry and group theory. His 1872 Erlangen Program, classifying geometries by their underlying symmetry groups, was a hugely influential synthesis of much of the mathematics of the day. Klein was born in Düsseldorf, to Prussian parents; his father was a Prussian government official's secretary stationed in the Rhine Province. He attended the Gymnasium in Düsseldorf, then studied mathematics and physics at the University of Bonn, 1865-1866, intending to become a physicist. At that time, Julius Plücker held Bonn's chair of mathematics and experimental physics, but by the time Klein became his assistant, in 1866, Plücker's interest was geometry. Klein received his doctorate, supervised by Plücker, from the University of Bonn in 1868. Plücker died in 1868, leaving his book on the foundations of line geometry incomplete. Klein was the obvious person to complete the second part of Plücker's Neue Geometrie des Raumes, and thus became acquainted with Alfred Clebsch, who had moved to Göttingen in 1868. Klein visited Clebsch the following year, along with visits to Berlin and Paris. In July 1870, at the outbreak of the Franco-Prussian War, he was in Paris and had to leave the country. For a short time, he served as a medical orderly in the Prussian army before being appointed lecturer at Göttingen in early 1871. Erlangen appointed Klein professor in 1872, when he was only 23. In this, he was strongly supported by Clebsch, who regarded him as likely to become the leading mathematician of his day. Klein did not build a school at Erlangen where there were few students, and so he was pleased to be offered a chair at Munich's Technische Hochschule in 1875. There he and Alexander von Brill taught advanced courses t...http://booksllc.net/?l=de ... 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: Otto Von Bismarck, Felix Klein, Konrad Adenauer, Bernhard Von Bülow, Helmuth Von Moltke the Elder, Alfred Von Tirpitz, Ulrich Von Wilamowitz-Moellendorff, Maximilian Karl, 6th Prince of Thurn and Taxis, Friedrich Carl Von Savigny, Christian Charles Josias Bunsen, Gustav Krupp Von Bohlen Und Halbach, Gustav Von Schmoller, Albrecht Von Roon, Karl Friedrich Von Steinmetz, Adolph Wagner, Karl Max, Prince Lichnowsky, Prince Hermann Von Pückler-Muskau, Charles Anthony, Prince of Hohenzollern, Alfred Von Waldersee, Alexis, Prince of Bentheim and Steinfurt, Philip, Prince of Eulenburg, Adolf Slaby, Hans Von Koester, Felix Von Hartmann, Ludwig Wilhelm, Prince of Bentheim and Steinfurt, August Thyssen, William, Duke of Brunswick, Alfred Von Schlieffen, Hans Hartwig Von Beseler, Heinrich Leo, Ernst Von Bergmann, Johann Von Miquel, Robert Von Puttkamer, Friedrich Julius Stahl, Karl-Hermann Knoblauch, Max Von Forckenbeck, Hermann Burmeister, Botho Zu Eulenburg, Adolf Tortilowicz Von Batocki-Friebe, Karl Eberhard Herwarth Von Bittenfeld, Heinrich Dernburg, Peter Wilhelm Forchhammer, Moritz Von Bissing, Karl Rudolf Friedenthal, Clemens Freiherr Von Schorlemer-Lieser, Herbert Von Bismarck, Maximilian Von Prittwitz, Heinrich Von Stephan, Rudolf E. A. Havenstein, Bogusław Fryderyk Radziwiłł, Georg Beseler, Adolf Heinrich Von Arnim-Boitzenburg, Wilhelm Launhardt, Henning Von Holtzendorff, Hermann Von Dechend, Heinrich Brunner, Johannes Voigt, Carl Gustav Friedrich Hasselbach, Maximilian Vogel Von Falckenstein, Otto Von Camphausen, Christian August Brandis, Karl Jarres, Heinrich Von Friedberg, Georg Von Kopp, Engelbert, 8th Duke of Arenberg, Gottlieb Graf Von Haeseler, Adam Stegerwald, Gottlieb Von Jagow, Alexander Von Monts, Julius Von Mirbach, Prince Adolf Zu Hohenlohe-Ingelfingen, Albrecht Von Sto...More: http://booksllc.net/?id=22416 ... 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: Johann Gottlieb Fichte, Ludwig Feuerbach, Friedrich Rückert, Felix Klein, Friedrich Wilhelm Joseph Schelling, Emil Fischer, Werner Elert, Albert Christian Weinlig, Liste der Klassischen Philologen an der Friedrich-Alexander-Universität Erlangen-Nürnberg, Jakob Herz, Adolf Kußmaul, Hans-Joachim Schoeps, Hermann Lübbe, Hermann Strathmann, Gregor Kraus, Georg Simon Ohm, Otto Stählin, Christian Gottfried Daniel Nees von Esenbeck, Hans Heinrich Eggebrecht, Friedrich Heinrich Ranke, Adolf Harleß, August Ebrard, Friedrich Maurer, Franz Delitzsch, Walter Künneth, August Goldfuß, Paul Althaus, Friedrich Karl Gottlob Hirsching, Johann Jakob Herzog, Rolf Grabower, Carl Thiersch, Heinrich Tietze, Helmut Berve, Werner Leibbrand, Karl Georg von Raumer, Georg Friedrich Puchta, Hans Peter Hümmer, Christian Krafft, Ludwig Seitz, Otto J. Brendel, Wilhelm Kahl, Johann Georg Meusel, Eugen Herrigel, Benno von Wiese, Alois von Brinz, Liste der Klassischen Archäologen an der Friedrich-Alexander-Universität Erlangen-Nürnberg, Klaus Koch, Paul Hensel, Friedrich Julius Stahl, Wolfgang Finkelnburg, Walther Judeich, Max Noether, Eduard Wölfflin, Heinrich Wilhelm Josias Thiersch, Erich Rügheimer, Heinrich Franke, Heinrich Keil, Werner Lüttge, Johann Christian von Schreber, Götz Freiherr von Pölnitz, Heinrich Siber, Friedrich Lent, Siegmund Günther, Helmut Kuhn, Alfred Schöne, Emil Sehling, Enoch Zander, Georg Langenhorst, Rudolf Max Littauer, Ernst Adolf Theodor Laspeyres, Ernst Otto Beckmann, Heinrich Marquardsen, Karl Heinrich Geisler, Karl Schroeder, Heinrich Bulle, Anton Ernstberger, Erhard Schmidt, Wilhelm von Leube, Hugo von Ziemssen, Rudolf Till, Karl Christian von Langsdorf, Reinhold Seeberg, Karl Friedrich Nägelsbach,...http://booksllc.net/?l=de&id=22291 ... Read more

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Chapters: Wilhelm Wundt, Werner Heisenberg, Adolph Wilhelm Hermann Kolbe, Wilhelm Ostwald, Peter Debye, Felix Klein, Felix Hausdorff, August Ferdinand Möbius, John James Richard Macleod, Theodor Mommsen, Constantin Von Tischendorf, Bartel Leendert Van Der Waerden, Karl Friedrich Bahrdt, Conrad Bursian, Gustav Ludwig Hertz, Eugen Rosenstock-Huessy, Gustav Fechner, Henryk Grossman, Max Volmer, Robert Döpel, Christian Wolff, Ernst Rexer, Gerhard Von Rad, Gerhard Hoffmann, Hans Mayer, Wilhelm Eduard Weber, Werner Krauss, Christian Thomasius, Ernst Bloch, Rudolf Von Jhering, Klara Döpel, Ferdinand Von Richthofen, Karl Bücher, Boris Podolsky, Alexander Ales, Sin-Itiro Tomonaga, Rudolf Leuckart, Matija Murko, Paul Drude, Hans Freyer, Ernst Heinrich Weber, Christian Fürchtegott Gellert, Abraham Gotthelf Kästner, Augustus Quirinus Rivinus, Hermann Abert, Karl Brugmann, Paul Flechsig, August Leskien, Max Bodenstein, Heinrich Louis D'arrest, Johann Christoph Gottsched, Lujo Brentano, Carl Neumann, Otto Reche, Georg Voigt, Christian Garve, Karl Gotthard Lamprecht, Wilhelm Georg Friedrich Roscher, Wilhelm Heinrich Erb, Johannes Overbeck, Gustav Schwalbe, Georg Von Der Gabelentz, Wilhelm Traugott Krug, Nathan Söderblom, Hermann Kretzschmar, Heinrich Zöllner, Franz Delitzsch, Arthur Von Oettingen, Alfred Bielschowsky, Kurt Rudolph, Johann Christian August Heinroth, Wilhelm Eduard Albrecht, Richard Avenarius, Paul Zweifel, Johann Hülsemann, Paul Clemens Von Baumgarten, Friedrich Trendelenburg, Carl Von Noorden, Johann Gottfried Jakob Hermann, Heinrich Gottlieb Tzschirner, Wilhelm Maurenbrecher, Karl Thiersch, Hermann Von Ihering, Johann Matthias Schröckh, Siegfried Gottwald, Ernst Friedrich Karl Rosenmüller, Erwin Payr, Otto Heubner, Hermann Brockhaus, Felix Jacob Marchand, Friedrich Engel, Christian Georg Theodor Ruete, Christian Wilhelm Braune, Paul Koebe, Alfred Wilhelm Volkmann, Heinrich Braun, Richard Altmann, Ludwig Wilhelm Gilbert, Fr...More: http://booksllc.net/?id=33130 ... Read more

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This Book Is In German. ... 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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Publisher: Druck Und VerlagPublication date: 1892Notes: This is an OCR reprint. There may be numerous typos or missing text. There are no illustrations or indexes.When you buy the General Books edition of this book you get free trial access to Million-Books.com where you can select from more than a million books for free. You can also preview the book there. ... 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: Carl Schmitt, Willy Messerschmitt, Rudolf Mößbauer, Felix Klein, Klaus von Klitzing, Hans Fischer, Carl von Linde, Roderich Fick, Nikolaus Riehl, Theodor Fischer, Eike Jessen, Ewald Wollny, Heinz-Gerd Hegering, Winfried Nerdinger, Wolfgang A. Herrmann, Rudolf Ortner, Edmund Veesenmayer, Alois Riedler, Arnold Scheibe, Horst Teltschik, German Bestelmeyer, Lorenz Hiltner, Ulrich Walter, Alwin Seifert, Hanfried Lenz, Ernst Otto Fischer, Friedrich Ratzel, Rudolf Tomaschek, Heinz Maier-Leibnitz, Moritz Julius Bonn, Jochen Kölsch, Roland Rainer, Leonhard Sohncke, Josef H. Reichholf, Paul Rintelen, Reimar Lüst, Joachim Milberg, Friedrich von Thiersch, Udo Weilacher, Friedrich Ludwig Bauer, Max Dieckmann, Friedrich von Gottl-Ottlilienfeld, Albrecht Wirth, Joachim Heinzl, Siegfried Scherer, Jonathan Zenneck, Walther Meißner, Robert Vorhoelzer, Georg Kreutzberg, Karl Scharrer, Albert Görres, Günther Bachthaler, Edgar Biemer, Wolfgang Reitzle, Dieter Witt, Karl-Eugen Rehfuess, Hubert Weiger, Klaus Mainzer, Bruno Huber, Friedrich Boas, Franz Xaver Eder, Robert Sauer, Holger Magel, Peter Latz, Roland Bulirsch, Günter Kappler, Gustav Hassenpflug, Gero Friesecke, Jörg Rüdiger Siewert, Paul Ehrenberg, Tim Christian Lüth, Siegmund Günther, Peter Rentrop, Werner Hunnius, Christian Bartenbach, Juliane C. Wilmanns, Alexander von Brill, Oliver Junge, Jacob Lüroth, Martin Brokate, Albert Gilg, Hans Döllgast, Peter Fromherz, Rudolf Sigl, Emil Erlenmeyer, Bernhard Rieger, Marcel Reif, Robert K. von Weizsäcker, Erich Wintermantel, Wolfgang Haber, Franz von Soxhlet, Ulrich Grigull, Heinz Schwärtzel, Georg Werner, Wilhelm von Bezold, Hans Niklas, Emil Pott, Horst Kessler, Gertrude Krombholz, Harun Parlar, Wolfgang Kaiser, Werne...http://booksllc.net/?l=de&id=841 ... 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