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Jacob Bernoulli's Ars Conjectandi, published posthumously in Latin in 1713 by the Thurneysen Brothers Press in Basel, is the founding document of mathematical probability. Here, Edith Dudley Sylla offers the first complete English translation of this monumental work.

Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability is manifest: he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers.

Sylla provides an extensive introduction and detailed translator's notes. She includes as supplemental texts Bernoulli's "Letter to a Friend on Sets in Court Tennis" and "Thesis 32" of Theses Logicae de conversione et oppositione enunciationum.

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Die Variationsrechnung ist heute ein Zentralgebiet der Mathematik, dessen Anwendungen weit in Wissenschaft, Technik und Wirtschaft hineinreichen. In der von Herman Goldstine, einem der Erfinder des modernen Computers, bearbeiteten und auf englisch kommentierten Streitschrift zeigen die Brüder Bernoulli, wie Variationsprobleme, die sich mit Fragen der Maximierung und Minimierung von mathematischen und physikalischen Eigenschaften und Prozessen befassen, richtig formuliert werden müssen, damit eine sinnvolle Antwort möglich ist. ... Read more

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Chapters: Jacob Bernoulli, Johann Friedrich, Margrave of Brandenburg-Ansbach, Joshua Barnes, Kangxi Emperor, Michiel de Swaen, Johann Andreas Eisenmenger, Constantin Brâncoveanu, Vincent Lübeck, Emperor Reigen, Richard Blackmore, Francis Levett, Louis Joseph, Duke of Vendôme, Richard Onslow, 1st Baron Onslow, Nicodemus Tessin the Younger, George Churchill, Thomas Vernon, Pedro Calungsod, Étienne Loulié, Giovanni Maria Lancisi, John Nelson, Charles Blount, Robert Livingston the Elder, Madame de Ventadour, John Bellers, Dubislav Gneomar Von Natzmer, Philippe Van Dievoet, Sir John Delaval, 3rd Baronet, William Sewel, Giuseppe Bartolomeo Chiari, Lorenzo Cozza, Jean-François Gerbillon, William Fraser, 12th Lord Saltoun, William Paston, 2nd Earl of Yarmouth, Antonio Bellucci, Anne Dacier, Archduchess Maria Anna Josepha of Austria, Charles I, Landgrave of Hesse-Kassel, David Nieto, Edmond Martène, Samuel Fritz, Robert Leke, 3rd Earl of Scarsdale, Pierre Varignon, William Handcock, Andreas Acoluthus, Sir Henry Bingham, 3rd Baronet, Pietro Antonio Fiocco, Sophie Amalie Moth, Anthony Morris, Henry Herbert, 1st Baron Herbert of Chirbury, Giovanni Gioseffo Dal Sole, Edward Nott, George Watson, Charlotte-Rose de Caumont La Force, Thomas Handcock, Giacomo Del Po, Danylo Apostol, Johan Peringskiöld, Ludovico Roncalli, Jerzy Dominik Lubomirski, Giacomo Antonio Ponsonelli, Algernon Capell, 2nd Earl of Essex, John Joseph of the Cross, Friedrich Von Canitz, Bernard Nieuwentyt, Alexander Arbuthnot, Johannes Van Keulen, Henry Poley, Johann Ernst Glück, Robert Digby, 3rd Baron Digby, Elizabeth Monck, Duchess of Albemarle, Teodor Lubieniecki, Bartolomeo Guidobono, Francisco Leonardoni, John Backwell, Jan Van Kessel, Junior, Gyalwang Mipham Wangpo, Thomas Lennard, 1st Earl of Sussex, Michelangelo Ricciolino, Pascoal Moreira Cabral Leme, François Pagi, Thomas Fuller, Giuseppe Passeri, William Seymour, 3rd Duke of Somerset, Jean Dieu de Saint-Jean, J...More: http://booksllc.net/?id=256180 ... 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: Francesco Borromini, Jacob Bernoulli, Paracelsus, Jakob Abbadie, Johann Bernoulli, Maria Sibylla Merian, Jörg Jenatsch, Jakob Ammann, Johann Jakob Wepfer, Sebastian Peregrin Zwyer, Domenico Trezzini, Nicolaus I Bernoulli, Sigmund Von Erlach, Niklaus Leuenberger, Hans Conrad Werdmüller, Niklaus Dachselhofer. Excerpt:Peter and Paul Cathedral is the most celebrated work by Domenico Trezzini. Domenico Trezzini (ca. 1670-1734) was a Swiss Italian architect who elaborated the Petrine Baroque style of Russian architecture . Domenico was born in Astano, near Lugano , in the Italian -speaking Ticino (at that time a condominium of the Old Swiss Confederacy ). He probably studied in Rome . Subsequently, as he was working in Denmark , he was offered by Peter I of Russia , among other architects , to design buildings in the new Russian capital city, St. Petersburg . Since 1703, when the city was founded, he substantially contributed to its most representative buildings. The Peter and Paul Fortress with the Peter and Paul Cathedral , the Twelve Collegia Building (now the main building of Saint Petersburg University ) as well as Peter's Summer House count among his many achievements. He also helped found and design Kronstadt and the Alexander Nevsky Monastery . Domenico Trezzini was very important for another aspect of Russian architectural history: in founding a school based on the European model, he laid the foundations for the development of the Petrine Baroque . As a testimony of the cordial relationship that linked Domenico Trezzini with the Tsar , his son Pietro Antonio Trezzini (who also became a noted architect) had Peter I of Russia himself as a godfather. References (URLs online) A hyperlinked version of this chapter is at Francesco Castelli Francesco Borromini , byname of Francesc... ... Read more

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Chapters: Leonhard Euler, Theodor Zwinger, Jacob Bernoulli, Auguste Piccard, Matthäus Merian, Edwin Fischer, Johann Bernoulli, Roger Federer, Patty Schnyder, Karl Barth, Frithjof Schuon, Peter Zumthor, Jacob Burckhardt, Hakan Yakin, Eren Derdiyok, Friedrich Miescher, Katy French, Münch, Bruno Frey, Johann Jakob Wettstein, Alexander Frei, Paul Janz, Heidi Tagliavini, Marco Chiudinelli, Petrus Ryff, Marthe Keller, Murat Yakin, Ludwig Senfl, Arnold Böcklin, Marco Streller, Maximilian Ulysses Browne, Hannes Meyer, Carl Baudenbacher, Natascha Badmann, Johannes Buxtorf Ii, Burchard of Basle, Carl Spitteler, Armin Mohler, Clara Thalmann, Johann Jakob Balmer, Paolo Pandolfo, Rolf M. Zinkernagel, James Kimber, Samuel Werenfels, August Wenzinger, James Sprenger, Gaspard Bauhin, Frick and Frack, Julius Lippert, Hans-Peter Tschudi, Melchior Berri, Christoph Merian, Paul Sacher, Leopold Kielholz, Lukas Vischer, Jakob Schaffner, Rudolf G. Binding, Beat Raaflaub, Dani Levy, Duilio, Walter Gautschi, Hans Dragendorff, Jakob Ii Bernoulli, George Gruntz, Dilaver Satılmış, Fritz Hoffmann-La Roche, Lea Schwer, -minu, Johann Bauhin, Carl Geigy, Johann Jakob Stehlin, Henricus Petrus, Johannes Jakob Buxtorf, Max Haufler, George Gebhardt, Ernst Brenner, Johann Iii Bernoulli, Johann Ii Bernoulli, Fritz Müller, Patrick Mächler, Diren Akdemir, Arthur Cohn, Avraham Yaakov Finkel, Christophe Glaser, Hieronymus Froben, Wibrandis Rosenblatt, Gustav Teichmüller, Fritz Hauser, Friedrich Hegar, Johannes Oporinus, Ralph Lewin. Source: Wikipedia. Pages: 328. 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: Roger Federer (born 8 August 1981) is a Swiss professional tennis player. As of 31 May 2010, he is ranked World No. 1 by the Association of Tennis Professionals (ATP), having previously held the number one position for a rec...More: http://booksllc.net/?id=262376 ... 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: Henry Dunant, Daniel Bernoulli, Jacob Bernoulli, Johann Bernoulli, Karl Barth, Philip Schaff, Nicolaus Ii Bernoulli, Jakob Ii Bernoulli, Nicolaus I Bernoulli, Johann Iii Bernoulli, Johann Ii Bernoulli, Nicolas Colladon, Gulielmus Bucanus, Karl Adams. Excerpt:Daniel Bernoulli Daniel Bernoulli (Groningen , 8 February 1700 Basel , 8 March 1782) was a Dutch -Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family . He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics , and for his pioneering work in probability and statistics . Bernoulli's work is still studied at length by many schools of science throughout the world. Early life Frontpage of Hydrodynamica (1738) Born in Groningen , in the Netherlands, the son of Johann Bernoulli , nephew of Jakob Bernoulli , and older brother of Johann II , Daniel Bernoulli has been described as "by far the ablest of the younger Bernoullis". He is said to have had a bad relationship with his father. Upon both of them entering and tying for first place in a scientific contest at the University of Paris , Johann, unable to bear the "shame" of being compared to his offspring, banned Daniel from his house. Johann Bernoulli also plagiarized some key ideas from Daniel's book Hydrodynamica in his own book Hydraulica which he backdated to before Hydrodynamica . Despite Daniel's attempts at reconciliation, his father carried the grudge until his death. When Daniel was seven, his younger brother Johann II Bernoulli was born. Around schooling age, his father, Johann Bernoulli, encouraged him to study business, there being poor rewards awaiting a mathematician. However, Daniel refused, because he wanted to study mathematics. He later gave in to his father's wish and st... ... Read more

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Chapters: Jacob Bernoulli, Emil Theodor Kocher, Kenneth Hsu, Edward Kofler, Catherine Kousmine, Alfred Métraux, Marie-Louise Von Franz, Amos Bairoch, Gottfried Schatz, Laurent Keller, Ignaz Venetz, Carl Alfred Meier, Johann Caspar Horner, Jean-Louis Calandrini, Frederick Pearson Treadwell, Charles Weissmann, Bernhard Joos, Thomas Conrad Von Baldenstein, Albert Samuel Gatschet, Ambros Uchtenhagen, Hans Conrad Escher Von Der Linth, Louis Albert Necker. Source: Wikipedia. Pages: 89. 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: Kenneth J. Hsu (simplified Chinese: ; traditional Chinese: ; pinyin: X Jìnghuá) Ph.D, M.A., born 28 June 1929, is a Swiss scientist, geologist, paleoclimatologist, oceanographer, government advisor, author, inventor and entrepreneur who was born in Nanjing, China. Education Hsu (Prof. Dr. Dr. h.c.) studied at the Chinese National Central University (later renamed Nanjing University in mainland China and reinstated in Taiwan) (B.Sc. 1948), and came to the United States in 1948 where he studied at Ohio State University (M.A., 1950), and at University of California, Los Angeles, where he received his Ph.D in 1953. Professional life Hsu worked as a petroleum geologist and environmental engineer for the Shell Development Corporation (Houston), now called Shell Oil Company, between 1954 and 1963. He also taught at U.S. universities (196367), before becoming Chairman of the Experimental Geology Department at the Swiss Federal Institute of Technology (ETH Zürich), in 1967, where he was Emeritus Professor of Geology until 1994. Hsu started his business career after his retirement from teaching. Professorships ... Read more

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Chapters: Isaac Newton, Carl Linnaeus, Leonhard Euler, Gottfried Leibniz, Daniel Bernoulli, Jacob Bernoulli, Ludvig Holberg, Johann Matthias Gesner, Giovanni Battista Morgagni, Emanuel Swedenborg, Samuel Hahnemann, Dimitrie Cantemir, Peter Simon Pallas, Johann Baptiste Horvath, Andreas Jaszlinszky, Johann Fux, August Hermann Francke, Ludovico Antonio Muratori, Giovanni Maria Lancisi, Joseph Tiefenthaler, Johann Franz Buddeus, Jacob Georg Christian Adler, Adriaan Reland, Jean Mabillon, Bernhard Siegfried Albinus, Abraham Vater, Giovanni Domenico Mansi, Diego José Abad Y García, Leopold Biwald, Johann Georg Ritter Von Zimmermann, Pieter Burman the Younger, Giovanni Poleni, Charles François Lhomond, Joseph Redlhamer, Josephus Nicolaus Laurenti, Christoph Cellarius, Johann Christoph Jordan. Source: Wikipedia. Pages: 245. 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: Sir Isaac Newton FRS (4 January 1643 31 March 1727 ) was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian who is considered by many scholars and members of the general public to be one of the most influential people in human history. His 1687 publication of the Philosophiæ Naturalis Principia Mathematica (usually called the Principia) is considered to be among the most influential books in the history of science, laying the groundwork for most of classical mechanics. In this work, Newton described universal gravitation and the three laws of motion which dominated the scientific view of the physical universe for the next three centuries. Newton showed that the motions of objects on Earth and of celestial bodies are governed by the same set of natural laws by demonstrating the consistency between Kepler's laws of planetary motion and his theory of gravitation, thus removing the last dou...More: http://booksllc.net/?id=14627 ... 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: Blaise Pascal, Claude Shannon, Abraham de Moivre, Daniel Bernoulli, Andrey Markov, Andrey Kolmogorov, Jacob Bernoulli, Siméon Denis Poisson, Norbert Wiener, Francis Galton, Persi Diaconis, Thomas Bayes, Joseph Louis François Bertrand, Paul Erdős, List of Mathematical Probabilists, Pierre-Simon Laplace, Richard Von Mises, Peter Whittle, Oded Schramm, Myhailo Yadrenko, John Kingman, Jonas Kubilius, Paul Tseng, Dimitri Bertsekas, Joseph Leo Doob, Herman Wold, William Feller, Samuel Karlin, Paul Halmos, S. R. Srinivasa Varadhan, Bruno de Finetti, Donald Burkholder, Peter Gavin Hall, Ole Barndorff-Nielsen, Lajos Takács, Kiyoshi Itō, Frank Kelly, Olav Kallenberg, Paul-André Meyer, David George Kendall, Wendelin Werner, David Williams, Alfréd Rényi, Michel Talagrand, Aryeh Dvoretzky, Octav Onicescu, Mark Kac, Aleksandr Khinchin, Geoffrey Grimmett, Émile Borel, Kai Lai Chung, Jarl Waldemar Lindeberg, Thomas M. Cover, Tatyana Afanasyeva, Paul Pierre Lévy, Albert Shiryaev, Bernt Øksendal, Boris Tsirelson, Wolfgang Doeblin, Dietrich Stoyan, Thomas M. Liggett, Richard M. Dudley, Nicolaus Ii Bernoulli, Frank Spitzer, Lucien le Cam, Chris Rogers, Eugene Dynkin, James R. Norris, Daniel W. Stroock, John Hammersley, Yuri Vasilevich Prokhorov, Imre Csiszár, Franz Thomas Bruss, Dan-Virgil Voiculescu, Chris Heyde, Ruslan L. Stratonovich, Jean-François le Gall, Michel Loève, K. R. Parthasarathy, Mikhail Menshikov, Arthur Herbert Copeland, David Aldous, Janos Galambos, Harry Kesten, Nicolaus I Bernoulli, Anatoliy Skorokhod, Ted Harris, Rollo Davidson, Roland Dobrushin, M. D. Donsker, Lawrence Shepp, Rick Durrett, Greg Lawler, Carlo Emilio Bonferroni, Carl Hindenburg, István Hatvani. Source: Wikipedia. Free updates online. Not illustrated. Excerpt: Pierre-Simon, marquis de Laplace (23 March 1749 5 Marc...More: http://booksllc.net/?id=344783 ... Read more