It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the Bulletin of the American Mathematical Society. The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition.
This book is about all kinds of numbers, from rationals to octonians, reals to infinitesimals. It is a story about a major thread of mathematics over thousands of years, and it answers everything from why Hamilton was obsessed with quaternions to what the prospect was for quaternionic analysis in the 19th century. It glimpses the mystery surrounding imaginary numbers in the 17th century and views some major developments of the 20th century.
Hermann Günther Graßmann was one of the most remarkable personalities in 19th-century science. A "small-town genius", he developed a groundbreaking n-dimensional algebra of space and contributed to a revolution in the understanding of mathematics. His work fascinated great mathematicians such as W. R. Hamilton, J. W. Gibbs and A. N. Whitehead. This intellectual biography traces Graßmann’s steps towards scientific brilliance by untangling a complicated web of influences: the force of unsolved problems in mathematics, Friedrich Schleiermacher’s Dialectic, German Romanticism and life in 19th-century Prussia. The book also introduces the reader to the details of Graßmann’s mathematical work without neglecting his achievements in Sanskrit philology and physics. And, for the first time, it makes many original sources accessible to the English-language reader.
It is a pleasure to turn to Wussing's book, a sound presentation of history," declared the Bulletin of the American Mathematical Society. The author, Director of the Institute for the History of Medicine and Science at Leipzig University, traces the axiomatic formulation of the abstract notion of group. 1984 edition.
Ein aktualisiertes und sehr gelungenes Porträt des viel zitierten Rechenmeisters Adam Ries (1492-1559), der mit seinen berühmten Rechenbüchern den Menschen die Rechenkunst seiner Zeit vermittelt hat.
/ Contents.- Perspective and the Plan and Elevation Technique, in particular in the Work by Piero della Francesca.- Hilda Geiringer: ihre ersten Jahre in Amerika.- Adrianus Romanus and the Trigonometric Tables of Georg Joachim Rheticus.- The Influence of Weierstrass's Analytical Methods in Italy.- Der Tabit b. Qurra zugeschriebene Zusatz I, 462 zu Euklid I, 46 in MS Leiden 399,1.- The Arithmetica of Jordanus Nemorarius.- The "Pythagorean Theorem" and Chinese Mathematics. Liu Hui's Commentary on the (Gou-Gu) Theorem in Chapter Nine of the Jiu Zhang Suan Shu.- La théorie des équations différentielles à la limite des XVIIIe - XIXe siècles.- The XVth Century Timurid Mathematician Ghiy?th al-D?n Jamsh?d al-K?sh? and his Computation of the Qubba.- Über eine Auseinandersetzung um den Mathematikunterricht an thüringischen Gymnasien aus dem Jahre 1843.- Non-Mathematica im Briefwechsel Leonhard Eulers mit Johann Bernoulli.- Conrad Landvogt, ein bisher unbekannter Algebraiker um 1500.- On the Axiomatization of Group Theory by American Mathematicians: 1902-1905.- Scientific Revolutions as Convolutions? A Sceptical Enquiry.- Jacobi and the Birth of Lie's Theory of Groups.- The Babylonian Cellar Text BM 85200 + VAT 6599. Retranslation and Analysis.- Zum Stand der westeuropäischen Mathematik zur Zeit der Entdeckung Amerikas.- The Ciphers of the Monks and the Astrolabe of Berselius Reconsidered.- Eulers früheste Studie zum Dreikörperproblem.- Some Remarks on the Almagestum parvum.- The Mathematical Correspondence between Julius Petersen and Ludvig Sylow.- Eléments de la méthode de forcing dans quelques travaux de N.N. Lousin.- Robert Remak and the Estimation of Units and Regulators.- New Light on the Life and Work of Joseph Henry Maclagan Wedderburn (1882-1948).- De 1'histoire du principe variationnel de Dirichlet.- Miszellen zu Leben und Werk des Mathematikers Johann Friedrich Pfaff (22.12.1765-21.4.1825).- Klein, Mittag-Leffler, and the Klein-Poincaré Correspondence of 1881-1882.- The History of Mathematics: Aims, Results, and Future Prospects.- Gauss und die Begründung der "höheren" Geodäsie.- Zur Modernisierung des Studiums der Mathematik in Berlin, 1820-1840.- Einige Bemerkungen zu antiken Konstruktionen.- Ernst August Weiss: Mathematical Pedagogical Innovation in the Third Reich.- Über das Interesse von Mathematikern an der Geschichte ihrer Wissenschaft.- Marx and Engels on the History of Science and Technology.- Felix Klein in Erlangen und München: ein Beitrag zur Biographie.- Contributi Italiani della prima metà del XX secolo alla teoria di Galois.- Anschriften der Autoren / Authors' addresses.
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