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Miscellany

Recent publications

Pages 158-161 | Published online: 28 Feb 2007

Articles

  • Atkinson , Leigh . 2005 . When the Pope was a mathematician . The College Mathematics Journal , 36 : 354 – 362 .
  • van Atten , Mark . 2005 . On Gödel's awareness of Skolem's Helsinki lecture . History and Philosophy of Logic , 26 : 321 – 326 .
  • Bassler , O . 2006 . The surveyability of mathematical proof: a historical perspective . Synthèse , 148 : 99 – 133 .
  • Bibiloni , Lluìs , Paradìs , Jaume and Viader , Pelegrì . 2006 . On a series of Goldbach and Euler . American Mathematical Monthly , 113 : 206 – 220 . ‘Theorem 1 of Euler's 1737 paper “Variae observationes circa series infinitas” states the astonishing result that the series of all unit fractions whose denominators are perfect powers of integers minus unity has sum one.’ Examination of his proof compared with modern proofs
  • Bignami , GF . 2005 . Galileo's heritage: planets, arts and history . International Journal of Modern Physics A , 20 : 6533 – 6538 . On a satirical poem by Galileo on the academic dress regulations in Pisa
  • Boas , Harold P . 2006 . Reflections on the Arbelos . American Mathematical Monthly , 113 : 236 – 249 . ‘Lost in the sands of time is the origin of the geometric figure named the arbelos by the ancient Greeks. The arbelos is the planar region bounded by three semicircles, tangent in pairs, with diameters lying on the same line. In this article, the author reflects on both the mathematics and the history of the arbelos
  • Boultif , A . 2005 . History of the dichotomy method for powder pattern indexing . Powder Diffraction , 20 : 284 – 287 . History of a mathematical and computational technique, emphasising the role of Daniel Louer
  • Byrne , James Steven . 2006 . A humanist history of mathematics? Regiomontanus's Padua oration in context . Journal of the History of Ideas , 67 : 41 – 61 .
  • Dai , HS . 2006 . An historical review of the theoretical development of rigid body displacements from Rodrigues parameters to the finite twist . Mechanism and Machine Theory , 41 : 41 – 52 . Early nineteenth to late twentieth century
  • Depcik , C and Assanis , D . 2005 . One-dimensional automotive catalyst modeling . Progress in Energy and Combustion Science , 31 : 308 – 369 . ‘Reviews the history of one-dimensional catalyst modeling to illustrate the physical phenomena that exist in the catalyst along with the corresponding numerical models’ as well as proposing an approach of its own
  • Docampo Rey , J . 2006 . Reading Luca Pacioli's ‘Summa’ in Catalonia: an early 16th-century Catalan manuscript on algebra and arithmetic . Historia Mathematica , 33 : 43 – 62 .
  • Eagle , Antony . 2005 . Randomness is unpredictability . British Journal for the Philosophy of Science , 56 : 749 – 790 .
  • Ehrlich , Philip . 2006 . The rise of non-Archimedean mathematics and the roots of a misconception I: the emergence of non-Archimedean systems of magnitudes . Archive for History of Exact Sciences , 60 : 1 – 121 .
  • Epple , Moritz , Karachalios , Andreas and Remmert , Volker R . 2005 . Aerodynamics and mathematics in National Socialist Germany and Fascist Italy: a comparison of research institutes . Osiris , 20 : 131 – 160 .
  • Farebrother , RW . 2005 . Some comments on the life and publications of Jerzy K Baksalary (1944–2005) . Linear Algebra and its Applications , 410 : 3 – 53 .
  • Gal , O and Chen-Morris , R . 2005 . The archaeology of the inverse square law: (1) metaphysical images and mathematical practices . History of Science , 43 : 391 – 414 .
  • Gal , O and Chen-Morris , R . 2006 . The archaeology of the inverse square law: (2) the use and non-use of mathematics . History of Science , 44 : 49 – 68 .
  • Gass , SI and Assad , AA . 2005 . Model world: tales from the time line: the definition of OR [operations research] and the origins of Monte Carlo simulation . Interfaces , 35 : 429 – 435 .
  • Goulding , Robert . 2006 . Method and mathematics: Peter Ramus's histories of the sciences . Journal of the History of Ideas , 67 : 63 – 85 .
  • Holmes , P . 2005 . Ninety plus thirty years of nonlinear dynamics: less is more and more is different . International Journal of Bifurcation and Chaos , 15 : 2703 – 2716 . Reviews the early (1885–1975) and more recent history of dynamical systems theory
  • Hoyrup , J . 2006 . Jacopo da Firenze and the beginning of Italian vernacular algebra . Historia Mathematica , 33 : 4 – 42 .
  • Jenkins , CS . 2005 . Knowledge of arithmetic . British Journal for the Philosophy of Science , 56 : 727 – 747 .
  • Knobloch , E . 2006 . Beyond Cartesian limits: Leibniz's passage from algebraic to ‘transcendental’ mathematics . Historia Mathematica , 33 : 113 – 131 .
  • Lenhard , Johannes . 2006 . Models and statistical inference: the controversy between Fisher and Neyman–Pearson . British Journal for the Philosophy of Science , 57 : 69 – 91 .
  • Malet , A . 2006 . Renaissance notions of number and magnitude . Historia Mathematica , 33 : 63 – 81 .
  • Malet , A and Panza , M . 2006 . The origins of algebra: from al-Khwarizmi to Descartes . Historia Mathematica , 33 : 1 – 3 .
  • Mancosu , Paolo . 2005 . Harvard 1940–1941: Tarski, Carnap and Quine on a finitistic language of mathematics for science . History and Philosophy of Logic , 26 : 327 – 357 .
  • Maritz , P . 2005 . Sir Thomas Muir, 1844–1934 . Linear Algebra and its Applications , 411 : 3 – 67 . Muir, mathematician and educator, became the third Superintendent General of Education in the Cape Colony under British rule. He worked on algebra, notably determinants, producing The theory of determinants in the historical order of development (London, 1890–1930)
  • Massa Esteve , MR . 2006 . Algebra and geometry in Pietro Mengoli (1625–1686) . Historia Mathematica , 33 : 82 – 112 .
  • Michell , J . 2005 . The logic of measurement: a realist overview . Measurement , 38 : 285 – 294 . Includes material on the history of the mathematical concepts involved in measurement, including ratio theory
  • Niss , M . 2005 . History of the Lenz–Ising model 1920–1950: from ferromagnetic to cooperative phenomena . Archive for History of Exact Sciences , 59 : 267 – 318 .
  • Normile , D . 2005 . History of mathematics: ‘amateur’ proofs blend religion and scholarship in ancient Japan . Science , 307 : 1715 – 1716 . Abstract: The use of illustrated mathematical tablets, or sangaku, by Japanese laypeople is discussed. Mathematical history, geometric theorems, and mathematical skills are also discussed
  • Novaes , Catarina Dutilh . 2005 . Buridan's Consequentia: consequence and inference within a token-based semantics . History and Philosophy of Logic , 26 : 277 – 297 .
  • Pengelley , David and Richman , Fred . 2006 . Did Euclid need the Euclidean algorithm to prove unique factorization? . American Mathematical Monthly , 113 : 196 – 205 .
  • Phillips , C . 2006 . Robert Woodhouse and the evolution of Cambridge mathematics . History of Science , 44 : 69 – 94 .
  • Popper , Nicholas . 2006 .  “Abraham, planter of mathematics”: histories of mathematics and astrology in Early Modern Europe . Journal of the History of Ideas , 67 : 87 – 106 .
  • Simms Dennis , L . 2005 . Archimedes the mechanikos . Geschichte der Mathematik und der Naturwissenschaften 3, Physik/Mechanik , : 164 – 183 . The first part of this paper was given at a meeting at Warwick to celebrate the 60th birthday and retirement of David Fowler
  • Stefaneseu , DM . 2005 . Solidification and modeling of cast iron: a short history of the defining moments . Materials Science and Engineering A: Structural Materials Properties Microstructure and Processing , 413 : 322 – 333 . A review of the fundamentals of solidification of iron-base materials and of the mathematical models that describe them
  • Suppes , P . 2005 . The pre-history of Kenneth Arrow's social choice and individual values . Social Choice and Welfare , 25 : 319 – 326 . Partly on the early (19th-century) history of the general theory of relations, and the modern development of the axiomatic method: their relationship to Arrow's impossibility theorem, ‘a turning point in … mathematical economics’
  • Suzuki , Jeff . 2005 . The lost calculus (1637–1670): tangency and optimization without limits . Mathematics Magazine , 78 : 339 – 353 .
  • Takahara , Y . 2005 . Yasuhiko Takahara — autobiographical retrospectives: a history of the mathematical general systems theory . International Journal of General Systems , 34 : 23 – 37 .
  • Tanton , James . 2006 . Math Circles and Olympiads (MSRI asks: Is the US coming of age?) . Notices of the American Mathematical Society , 53 : 200 – 205 .
  • Torra-Mattenklott , Caroline . 2005 . The fable as figure: Christian Wolff's geometric fable theory and its creative reception by Lessing and Herder . Science in Context , 18 : 525 – 552 .
  • Wall , Byron . 2005 . Causation, randomness, and pseudo-randomness in John Venn's logic of chance . History and Philosophy of Logic , 26 : 299 – 319 .
  • Zabusky , NJ . 2005 . Fermi-Pasta-Ulam, solitons and the fabric of nonlinear and computational science: History, synergetics, and visiometrics . Chaos: An Interdisciplinary Journal of Nonlinear Science , 15 art. no. 015102., ‘This paper is mostly a history of the early years of nonlinear and computational physics and mathematics … .’

Books

  • Altmann , Simon and Ortiz Eduardo , L . 2006 . Mathematics and social utopias in France , Oxford : Oxford University Press .
  • Andriesse , CD . 2005 . Huygens: the man behind the principle , Cambridge : Cambridge University Press .
  • Berlinski , David . 2005 . Infinite ascent: a short history of mathematics , New York : Orion .
  • Cercignani , Carlo and Penrose , Roger . 2006 . Ludwig Boltzmann: the man who trusted atoms , Oxford : Oxford University Press .
  • Cooke , R . 2005 . The history of mathematics: a brief course , Hoboken, NJ : Wiley .
  • Copeland , B Jack . 2006 . Colossus: the secrets of Bletchley Park's codebreaking computers , Oxford : Oxford University Press .
  • Danson , Edwin . 2006 . Weighing the world: the quest to measure the earth , Oxford : Oxford University Press .
  • Fajtlowicz , Siemion , Fowler , Patrick W , Hansen , Pierre , Janowitz , Melvin F and Roberts Fred , S . 2006 . Graphs and discovery , Oxford : Oxford University Press .
  • Frova , Andrea and Marenzana , Mariapiera . 2006 . Thus spoke Galileo: the great scientist's ideas and their relevance to the present day , Oxford : Oxford University Press .
  • Hawking , SW . 2005 . God created the integers: the mathematical breakthroughs that changed history , London : Running Press . (ed.)
  • Huffman , Carl . 2005 . Archytas of Tarentum: Pythagorean, philosopher and mathematician king , Cambridge : Cambridge University Press .
  • Papineau , David . 2006 . The roots of reason , Oxford : Oxford University Press .
  • Redei , Miklos . 2006 . John von Neumann: selected letters , Oxford : Oxford University Press .
  • Steele , Brett D and Dorland , Tamera . 2005 . The heirs of Archimedes: science and the art of war through the Age of Enlightenment , London : MIT Press . (eds), See in particular chapters 6 and 7: ‘Mathematics and empire: the military impulse and the Scientific Revolution’ (Lesley B Cormack), 137–180; ‘Harriot and Dee on exploration and mathematics: did scientific imagery make for new scientific practice?’ (Amir Alexander), 181–204
  • Tuomi , Ilkka . 2006 . Networks of innovation: change and meaning in the age of the Internet , Oxford : Oxford University Press .
  • Turner , Henry S . 2006 . The English Renaissance stage: geometry, poetics, and the practical spatial arts 1580–1630 , Oxford : Oxford University Press .
  • Vergo , Peter . 2005 . That divine order: music and the visual arts from antiquity to the eighteenth century , Cambridge : Cambridge University Press . [Looks at ‘harmonics’ in a fairly mathematical way.]
  • Wainer , Howard and Spence , Ian . 2005 . Playfair's Commercial and Political Atlas and Statistical Breviary , Cambridge : Cambridge University Press . (eds.)
  • Benjamin Wardhaugh

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