- Acerbi , Fabio . 2005 . A reference to perfect numbers in Plato's Theaetetus . Archive for History of Exact Sciences , 59 : 319 – 348 .
- Baeten , J C M . 2005 . A brief history of process algebra . Theoretical Computer Science , 335 : 131 – 146 .
- Belanger , Jay and Stein , Dorothy . 2005 . Shadowy vision: spanners in the mechanization of mathematics . Historia Mathematica , 32 : 76 – 93 .
- Belenkiy , Ari and Vila Echagüe , Eduardo . 2005 . History of one defeat: reform of the Julian calendar as envisaged by Isaac Newton . Notes and Records of the Royal Society of London , 59 : 223 – 254 .
- Bellhouse , David . 2005 . Decoding Cardano's Liber de ludo aleae . Historia Mathematica , 32 : 180 – 202 .
- Bensman , S J . 2005 . Urquhart and probability: The transition from librarianship to library and information science . Journal of the American Society for Information Science and Technology , 56 : 189 – 214 .
- Berggren , J L and Brummelen , Glen van . 2005 . Al-Kūhl's revision of Book I of Euclid's Elements . Historia Mathematica , 32 : 426 – 452 .
- Biryukov , B V and Kuzicheva , Z A . 2004 . From the history of logic—mathematical constructivism . Voprosy Filosofii , 12 : 89 – 102 .
- A , Bundy , M , Jamnik and A , Fugard . 2005 . What is a proof? . Philosophical Transactions of the Royal Society A , 363 : 2377 – 2391 .
- Centina , del Andrea . 2005 . Letters of Sophie Germain preserved in Florence . Historia Mathematica , 32 : 60 – 75 .
- Chakraborty , Sujoy . 2005 . Arthur Cayley and the abstract group concept . Mathematics Magazine , 78 : 269 – 282 .
- Crilly , Tony . 2005 . Arthur Cayley FRS and the four-colour map problem . Notes and Records of the Royal Society of London , 59 : 285 – 304 .
- Duke , Dennis . 2005 . Hipparchus’ eclipse trios and early trigonometry . Centaurus , 47 : 163 – 177 .
- Duke , Dennis . 2005 . The equant in India: the mathematical basis of ancient Indian planetary model . Archive for History of Exact Sciences , 59 : 563 – 576 .
- Eknoyan , G . 2005 . “ Emergence of quantification in clinical investigation and the quest for certainty in therapeutics: the road from Hammurabi to Kefauver ” . In Advances in Chronic Kidney Disease Vol. 12 , 88 – 95 . [Historical survey of the use of probability in medicine, including the ‘numerical method’ of Pierre Louis (1787–1872) and probability calculus in the early twentieth century.]
- Fenster , Della D and Schwermer , Joachim . 2005 . A delicate collaboration: Adrian Albert and Helmut Hasse and the principal theorem in division algebras in the early 1930s . Archive for History of Exact Sciences , 59 : 349 – 379 .
- Fragoulis , D . 2005 . Origins and application of geometry in the Thera Prehistoric civilization ca. 1650 B.C. . Centaurus , 47 : 316 – 340 .
- Frank , A . 2005 . “ On Kuhn's Hungarian method—a tribute from Hungary ” . In Naval Research Logistics Vol. 52 , 2 – 5 . [On the genesis and reception of Harold W Kuhn's 1955 paper “The Hungarian Method for the assignment problem”, which ‘described an algorithm for constructing a maximum weight perfect matching in a bipartite graph’.]
- Gabler , J and Frank , D J . 2005 . “ The natural sciences in the university: change and variation over the 20th century ” . In Sociology of Education 183 – 206 . [Contrasts the twentieth-century fortunes of sciences based on ‘fixed categories’ with those based on ‘dynamic networks’, with mathematics as one among several examples of the latter.]
- Gass , S I and Assad , A A . 2005 . “ Model world: tales from the time line—the definition of OR and the origins of Monte Carlo simulation ” . In Interfaces Vol. 35 , 429 – 435 . [On the history of Operations Research.]
- Gattei , S . 2004 . “ Karl Popper's philosophical breakthrough ” . In Philosophy of Science Vol. 71 , 448 – 466 . [Relates Popper's early shift from inductivism to deductivism to his study of the history of non-Euclidean geometry.]
- Gluchoff , Alan . 2005 . Pure mathematics applied in early twentieth-century America: the case of T. H. Gronwall, consulting mathematician . Historia Mathematica , 32 : 312 – 357 .
- Gorkin , Pamela . 2005 . Dirichlet: his life, his Principle, and his Problem . Mathematics Magazine , 78 : 283 – 296 .
- Gottwald , S . 2005 . Mathematical aspects of fuzzy sets and fuzzy logic—some reflections after 40 years . Fuzzy Sets and Systems , 156 : 357 – 364 .
- Grattan-Guinness , Ivor . 2005 . John Greenberg (1945–2004) . Historia Mathematica , 32 : 1 – 3 .
- Gutman , I . 2005 . “ History of match ” . In MATCH – Communications in Mathematical and in Computer Chemistry Vol. 53 , 53 – 62 . [Basic history of this journal from 1975 to 2004.]
- Hawkins , Thomas . 2005 . Frobenius, Cartan, and the problem of Pfaff . Archive for History of Exact Sciences , 59 : 381 – 436 .
- Hejazi , M . 2005 . Geometry in nature and Persian architecture . Building and Environment , 40 : 1413 – 1427 .
- Hogendijk , Jan P . 2005 . Applied mathematics in eleventh-century Al-Andalus: Ibn Mu’ādh al-Jayyānnī and his computation of astrological houses and aspects . Centaurus , 47 : 87 – 114 .
- Giora , Hon . 2005 . Kant vs. Legendre on symmetry: mirror images in philosophy and mathematics . Centaurus , 47 : 283 – 297 .
- Hon , G and Goldstein , Bernard R . 2005 . How Einstein made asymmetry disappear: symmetry and relativity in 1905 . Archive for History of Exact Sciences , 59 : 437 – 544 .
- Jackson , Allyn . 2005 . “ A different kind of institute: the American Institute of Mathematics ” . In Notices of the AMS Vol. 52 ,
- Keller , Agathe . 2005 . Making diagrams speak, in Bhāskara I's commentary on the Aryabhatīya . Historia Mathematica , 32 : 275 – 302 .
- Krotov , V F and Kurzhanski, A B . 2005 . “ National achievements in control theory—The aerospace perspective ” . In Annual Reviews in Control Vol. 29 , 13 – 31 . [History of some seminal investigations in the former Soviet Union in rocket launching and flight dynamics.]
- Lawson , T . 2005 . Reorienting history (of economics) . Journal of Post Keynesian Economics , 27 : 455 – 470 .
- Linafelt , T . 2005 . “ The arithmetic of Eros ” . In Interpretation—a journal of Bible and theology Vol. 59 , 244 – 258 . [On references to number in the historical literature of love.]
- Lombardi , H . 2006 . Structures algébriques dynamiques, espaces topologiques sans points et programme de Hilbert . Annals of Pure and Applied Logic , 137 : 256 – 290 .
- McLarty , Colin . 2005 . Poor taste as a bright character trait: Emmy Noether and the Independent Social Democratic Party . Science in Context , 18 : 429 – 450 .
- Mawhin , Jean . 2005 . “ Henri Poincare: a life in the service of science ” . In Notices of the AMS Vol. 52 ,
- Mohun , Arwen . 2005 . “ On the frontier of the empire of chance: statistics, accidents, and risk in industrializing America ” . In Science in Context Vol. 18 , 337 – 357 . [‘Describes how quantitative descriptions of risk associated with industrialization and technological change became part of the mentality of ordinary Americans’, to about the 1920s.]
- Nastasi , Peitro and Tazzioli , Rossana . 2005 . Toward a scientific and personal biography of Tullio Levi-Civita (1873–1941) . Historia Mathematica , 32 : 203 – 236 .
- Nunez , R E . 2005 . “ Creating mathematical infinities: metaphor, blending, and the beauty of transfinite cardinals ” . In Journal of Pragmatics Vol. 37 , 1717 – 1741 . [A philosophical/linguistic analysis of Cantor's concept of infinity.]
- Oaks , Jeffrey A and Alkhateeb , Haitham M . 2005 . Māl, enunciations, and the prehistory of Arabic algebra . Historia Mathematica , 32 : 400 – 425 .
- Psychoyos , D K . 2005 . “ The forgotten art of isopsephy and the magic number KZ ” . In Semiotica Vol. 154 , 157 – 224 . [On the notation of numbers and the origin of the ancient Greek alphabet]
- Puchner , Martin . 2005 . Doing logic with a hammer: Wittgenstein's Tractatus and the polemics of logical positivism . Journal of the History of Ideas , 66 : 285 – 300 .
- Pyragas , K and Svirskas , K . 2005 . On the biography and the scientific heritage of Hermann Minkowski . Baltic Astronomy , 14 : 323 – 330 .
- Roberts , D L . 2004 . The BKPS Letter of 1962: the history of a “New Math” episode . Notices of the American Mathematical Society , 51 : 1062 – 1063 .
- Rundell , W . 2005 . From Samos to SAMSI: the Mathematical Science Institutes . Notices of the American Mathematical Society , 52 : 1052 – 1054 .
- Rusnock , Paul and Kerr-Lawson , Angus . 2005 . Bolzano and uniform continuity . Historia Mathematica , 32 : 303 – 311 .
- Sauer , Tilman . 2005 . Einstein equations and Hilbert action: What is missing on page 8 of the proofs for Hilbert's First Communication on the Foundations of Physics? . Archive for History of Exact Sciences , 59 : 577 – 590 .
- Scarpello , G M and Scimone , A . 2005 . The work of Tschirnhaus, La Hire and Leibniz on catacaustics and the birth of the envelopes of lines in the 17th century . Archive for History of Exact Sciences , 59 : 223 – 250 .
- Schemmel , Matthias . 2005 . An astronomical road to General Relativity: The Continuity between Classical and Relativistic Cosmology in the Work of Karl Schwarzschild . Science in Context , 18 : 451 – 478 .
- Sepkoski , David . 2005 . Nominalism and constructivism in seventeenth-century mathematical philosophy . Historia Mathematica , 32 : 33 – 59 .
- Simpson , C . 2004 . “ Computer theorem proving in mathematics ” . In Letters in Mathematical Physics Vol. 69 , 287 – 315 .
- Sørensen , Henrik Kragh . 2005 . Exceptions and counterexamples: understanding Abel's comment on Cauchy's Theorem . Historia Mathematica , 32 : 453 – 480 .
- Spring , D . 2005 . The golden age of immersion theory in topology: 1959–1973. A mathematical survey from a historical perspective . Bulletin of the American Mathematical Society , 42 : 163 – 180 .
- Stigler , S . 2005 . “ Fisher in 1921 ” . In Statistical Science Vol. 20 , 32 – 49 . [Argues that Ronald A. Fisher's influential 1921 article on mathematical statistics owes a debt to Karl Pearson.]
- Taylor , J . 2004 . “ On history, chaos, and Carlyle (Thomas Carlyle's “Chaos of Being” and 19th century mathematics) ” . In Clio: A Journal of Literature History and the Philosophy of History Vol. 33 , 397 – 414 .
- Thiele , Rüdiger . 2005 . Matthias Schramm, 1928–2005 . Historia mathematica , 32 : 271 – 274 .
- Vinel , Nicolas . 2005 . Un carré magique pythagoricien? . Archive for History of Exact Sciences , 59 : 545 – 562 .
- Weintraub , E R . 2005 . “ On Lawson on equilibrium ” . In Journal of Post Keynesian Economics Vol. 27 , 445 – 454 . [Argues that to understand economists’ use of the idea of equilibrium requires ‘serious attention to the history of mathematics’.]
- Xu , Yibao . 2005 . The first Chinese translation of the last nine books of Euclid's Elements and its source . Historia Mathematica , 32 : 4 – 32 .
- Young , Gregg de . 2005 . Diagrams in the Arab Euclidean tradition: a preliminary assessment . Historia Mathematica , 32 : 129 – 179 .
- Yuste , Piedad . 2005 . Algebra and geometry in the Old Babylonian period: matters concerning reeds . Centaurus , 47 : 298 – 315 .
Books
- Albert , Nancy E . A3 & his algebra: how a boy from Chicago's West Side became a force in American mathematics iUniverse, 2005[Biography of (Abraham) Adrian Albert).]
- Altmann , Simon and Ortiz , Eduardo L . 2005 . Mathematics and social utopias in France , Oxford : Oxford University Press .
- Amrein , Werner O , Hinz , Andreas M and Pearson , David B . 2005 . Sturm-Liouville theory: past and present , Basel : Birkhauser . (eds)
- Bergmans , L and Koetsier , T . 2005 . Mathematics and the divine: a historical study , Dordrecht : Elsevier . (eds)
- Cleempoel , Koenraad van . 2005 . Astrolabes at Greenwich: a catalogue of the astrolabes in the National Maritime Museum , Oxford : Oxford University Press .
- Copeland , B Jack . 2005 . Alan Turing's automatic computing engine: the master codebreaker's struggle to build the modern computer , Oxford : Oxford University Press .
- van Dalen , Dirk . 2005 . Mystic, geometer, and intuitionist: the life of L.E.J. Brouwer 1881–1966 , Vol. 2 , Oxford : Oxford University Press . Hope and Disillusion
- Darrigol , Olivier . 2005 . Worlds of flow: a history of hydrodynamics from the Bernoullis to Prandtl , Oxford : Oxford University Press .
- Delone . 2005 . The St. Petersburg School of number theory , Oxford : Oxford University Press .
- Gray , Jeremy . 2004 . Janos Bolyai, non-euclidean geometry, and the nature of space , Cambridge, MA : MIT Press .
- Kenschaft , Patricia Clark . 2005 . Change is possible: stories of women and minorities in mathematics , Oxford : Oxford University Press .
- Lützen , Jesper . 2005 . Mechanistic images in geometric form: Heinrich Hertz's ‘Principles of Mechanics’ , Oxford : Oxford University Press .
- MacLane , Saunders . 2005 . A mathematical autobiography , Wellesley, MA : A K Peters .
- Mackey . 2005 . The scope and history of commutative and noncommutative harmonic analysis , Oxford : Oxford University Press .
- Martínez , Alberto A . 2006 . Negative math: how mathematical rules can be positively bent , Princeton : Princeton University Press .
- Meskens , Ad . 2005 . Joannes della Faille s.j.: mathematics, modesty and missed opportunities , Brussels : Institut Historique Belge de Rome .
- Parker , John . 2005 . R. L. Moore: mathematician and teacher , Washington, DC : MAA .
- Palotkin . 2005 . Hausdorff on ordered sets , Oxford : Oxford University Press .
- Pulte , Helmut . Axiomatik und Empirie. Eine wissenschaftstheroriegeschichtliche Untersuchung zur mathematischen Naturphilosophie von Newton bis Neumann Darmstadt, 2005[Wide-ranging study of various traditions in mechanics up to Carl Neumann (IGG)]
- Roshdi , Rashed . 2005 . Geometry and dioptrics in Classical Islam , London : Al-Furqān Islamic Heritage Foundation .
- Schlote , Karl-Heinz . Zu den Wechselbeziehungen zwischen Mathematik und Physik an der Universität Leipzig in der Zeit von 1830 bis 1904/05, Stuttgart and Leipzig: Verlag der Sächsischen Akademie der Wissenschaften zu Leipzig in Kommission bei S. Hirzel (Abhandlungen der Sächsischen Akademie der Wissenschaften zu Leipzig, mathematisch-naturwissenschaftliche Klasse, vol. 63, no. 1), 2004[Valuable survey of the prosecution of mathematics and mathematical physics at an important German university. Figures include Felix Klein, Wilhelm Weber and especially Carl Neumann (IGG).]
- Serfati , Michel . 2005 . La révolution symbolique. La constitution de l’écriture symbolique mathématique , Paris : Ed. Petra . [Survey of the development of notations, especially in early modern algebras (IGG).]
- Thiele , Rüdiger . 2003 . “ Maupertuis ” . In Encyclopedia of the enlightenment , Edited by: Kors , A . Oxford : Oxford University Press .
- Wolfschmidt , Gudrun (ed) . 2005 . Vom Magnetismus zur Elektrodynamik anlässlich des 200. Geburtstages von Wilhelm Weber (1804–1891) und des 150. Todestages von Carl Friedrich Gauss (1777–1855) Hamburg [The first half of this book is dominated by essays by the editor on the development of (electro)magnetism, and by K-H Wiederkehr on Weber's work (his law is misstated on p. 77). The second half is the catalogue for an extensive exhibition on the history of (geo)magnetism and electromagnetism held at the University of Hamburg in 2005; many of the entries are detailed enough to stand as sources of information in their own right (IGG).]
- Compiled by Benjamin Wardhaugh