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Main articles

Mathematics and the alloying of coinage 1202–1700: Part I

Pages 213-234 | Received 06 Apr 1993, Published online: 18 Sep 2006

  • Mahoney , M.S. 1978 . “ Mathematics ” . In Science in the Middle Ages Edited by: Lindberg , D.C. 145 – 186 . Chicago Chapter 5 in (145–6).
  • Van Egmond , W. 1988 . “ How Algebra came to France ” . In Mathematics from Manuscript to Print, 1300–1600 Edited by: Hay , C. 127 – 144 . Oxford in (132–3).
  • Van Egmond , W. 1980 . Practical Mathematics in the Italian Renaissance: A Catalogue of Italian Abacus Manuscripts and Printed Books to 1600 , 7 – 7 . Florence : Istituto e Museo di Storia della Scienzia .
  • Lane , F.C. and Mueller , R.C.T. 1985 . Money and Banking in Medieval and Renaissance Venice Vol. 2 , 3 – 15 . Baltimore I
  • Mate , M. 1969 . A Mint of Trouble 1279–1307 . Speculum , 44 : 201 – 212 . (204–5).
  • Public Record Office, Exchequer 368/81 m41d., E 368/89 m29
  • Public Record Office, Exchequer 101/301/1
  • Mayhew , N.J. 1992 . “ From Regional to Central Mints 1158–1464 ” . In A New History of the Royal Mint Edited by: Challis , C.E. 83 – 178 . Cambridge in (123).
  • Johnson , C. 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 50 – 96 . London : Medieval Text Series . (65–82).
  • Lane and Mueller . 1985 . Money and Banking in Medieval and Renaissance Venice Vol. I , 161 – 185 . Baltimore also Appendix E, 618–22.
  • The topic recurs throughout A New History of the Royal Mint Challis C.E. Cambridge 1992 See also Later Medieval Mints: Organization, Administration and Techniques: The 8th Oxford Symposium on Coinage and Monetary History, edited by N. J. Mayhew and P. Spufford (British Archaeological Reports International Series 389) (Oxford, 1988).
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 57 – 57 . London : Medieval Text Series .
  • Craig , J.H.M. 1953 . The Mint: A History of the London Mint from AD 287 to 1948 44 – 44 . Cambridge
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 78 – 81 . London : Medieval Text Series .
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 83 – 84 . London : Medieval Text Series .
  • Challis , C.E.T. 1992 . “ Lord Hastings to the Great Silver Recoinage, 1464–1699 ” . In A New History of the Royal Mint Edited by: Challis , C.E. 179 – 397 . Cambridge chapter 3 in Challis (184).
  • Challis , C.E. 1988 . Assays and Assaying in the reigns of Henry III and Edward I , British Archaeological Reports International Series 389 Edited by: Mayhew and Spufford . 76 – 85 . Oxford in
  • Public Record Office, Exchequer 101/301/1
  • Mayhew . 1992 . “ From Regional to Central Mints 1158–1464 ” . In A New History of the Royal Mint Edited by: Challis , C.E. 136 – 136 . Cambridge in
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 79 – 81 . London : Medieval Text Series .
  • Public Record Office, Exchequer 368/81 m41d., E 368/89 m29
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 60 – 60 . London : Medieval Text Series .
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 68 – 73 . London : Medieval Text Series .
  • Pegolotti , Francesco Balducci . 1936 . La pratica della mercatura , Edited by: Evans , A.T. Vol. XXIV , 291 – 291 . Cambridge, MA : Medieval Academy of America .
  • Challis . 1988 . Assays and Assaying in the reigns of Henry III and Edward I , British Archaeological Reports International Series 389 Edited by: Mayhew and Spufford . 82 – 82 . Oxford
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 68 – 69 . London : Medieval Text Series .
  • Mayhew , N.J. and Walker , D.R. 1977 . “ Crockards and Pollards: Imitation and the Problem of Fineness in a Silver Coinage ” . In Edwardian Monetary Affairs (1279–1344): A Symposium held at Oxford, August 1976 , British Archeological Reports 36 Edited by: Mayhew , N.J. 125 – 146 . Oxford in (Appendix 2, 141–2).
  • Mayhew , N.J. and Walker , D.R. 1977 . “ Crockards and Pollards: Imitation and the Problem of Fineness in a Silver Coinage ” . In Edwardian Monetary Affairs (1279–1344): A Symposium held at Oxford, August 1976 , British Archeological Reports 36 Edited by: Mayhew , N.J. 138 – 140 . Oxford in Appendix 1
  • Reddaway , T.F. and Walker , L.E.M. 1975 . The Early History of the Goldsmiths' Company 1327–1509 London Appendix I, ‘The Book of Ordinances’, E45 [f. 44v], 243.
  • Mayhew and Walker . 1977 . “ Crockards and Pollards: Imitation and the Problem of Fineness in a Silver Coinage ” . In Edwardian Monetary Affairs (1279–1344): A Symposium held at Oxford, August 1976 , British Archeological Reports 36 Edited by: Mayhew , N.J. 137 – 137 . Oxford in
  • Lane and Mueller . 1985 . Money and Banking in Medieval and Renaissance Venice Vol. 2 , xiii – xiii . Baltimore I
  • Vogel , K. 1971 . “ Fibonacci, Leonardo, or Leonardo of Pisa ” . In Dictionary of Scientific Biography Vol. IV , 604 – 613 . New York This article offers the most accessible account of the mathematical content of these works.
  • Boncompagni , B. , ed. 1857–62 . Scritti di Leonardo Pisano Vol. 2 , Rome The text referred to throughout this article comes from the first volume.
  • Boncompagni , B. , ed. 1857–62 . Scritti di Leonardo Pisano Vol. 2 , 143 – 159 . Rome
  • von Luneberg , H. 1991 . Fibonaccis aufsteigende Kettenbrücke, ein elegantes Werkzeug mittelalterlicher Rechenkunst . Sudhoffs Archiv , 75 : 129 – 139 . pt 2
  • Vogel . 1971 . “ Fibonacci, Leonardo, or Leonardo of Pisa ” . In Dictionary of Scientific Biography Vol. IV , 605 – 605 . New York
  • Spufford , P. 1988 . Money and its use in Medieval Europe Cambridge Part II, Chapters 5–11.
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 71 – 72 . London : Medieval Text Series .
  • Challis . 1988 . Assays and Assaying in the reigns of Henry III and Edward I , British Archaeological Reports International Series 389 Edited by: Mayhew and Spufford . 81 – 81 . Oxford in
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 73 – 75 . London : Medieval Text Series .
  • Johnson . 1956 . The De moneta of Nicholas Oresme and English Mint Documents , 95 – 95 . London : Medieval Text Series .
  • Mayhew and Walker . 1977 . “ Crockards and Pollards: Imitation and the Problem of Fineness in a Silver Coinage ” . In Edwardian Monetary Affairs (1279–1344): A Symposium held at Oxford, August 1976 , British Archeological Reports 36 Edited by: Mayhew , N.J. 138 – 140 . Oxford in Appendix 1
  • Lane and Mueller . 1985 . Money and Banking in Medieval and Renaissance Venice Vol. 2 , 162 – 163 . Baltimore
  • Burnett , C. 1992 . Le Quadripartitum numerorum de Jean de Murs . Annals of Science , 49 : 277 – 278 . review of G. L'Huillier in
  • Van Egmond . 1988 . “ How Algebra came to France ” . In Mathematics from Manuscript to Print, 1300–1600 Edited by: Hay , C. 127 – 144 . Oxford in
  • Mate , M. 1977 . “ Mint Officials under Edward I and Edward II ” . In Edwardian Monetary Affairs (1279–1344): A Symposium held at Oxford, August 1976 , British Archaeological Report 36 Edited by: Mayhew , N.J. 32 – 44 . Oxford in (33).
  • Brand , J.B. 1976 . A Medieval Mint Account . British Numismatic Journal , 46 : 78 – 79 .
  • Brand , J.D. 1987 . Mint Accounts, and Alloys . British Numismatic Circular , 95 June : 143 – 146 . 179–82.
  • Spufford . 1988 . Money and its use in Medieval Europe 429 – 429 . Cambridge Bibliography
  • Stussi , A. , ed. 1967 . Zibaldone da Canal, manoscritto mercantile del secolo XIV , v – v . Venice : Fonti per la Storia di Venezia . xii, xliii.
  • Ore , O. 1967 . “ I Problemi di Mathematico Nello Zibaldone da Canal ” . In Zibaldone da Canal, manoscritto mercantile del secolo XIV , Edited by: Stussi . lxxi – lxxvi . Venice : Fonti per la Storia di Venezia . in
  • Pegolotti , Francesco Balducci . 1936 . La pratica della mercatura , Edited by: Evans , A.T. Vol. XXIV , 342 – 354 . Cambridge, MA : Medieval Academy of America .
  • Pegolotti , Francesco Balducci . 1936 . La pratica della mercatura , Edited by: Evans , A.T. Vol. XXIV , 351 – 352 . Cambridge, MA : Medieval Academy of America .
  • Franci , R. and Rigatelli , L. Toti . 1985 . Towards a history of Algebra from Leonardo of Pisa to Luca Pacioli . Janus , 72 : 17 – 82 . (32).
  • Cesare , C. , ed. 1964 . La pratica di mercatura datiniana Milan
  • Borlandi , A. , ed. 1963 . Il manuale di mercatura da Saminiato de Ricci 152 – 152 . Genoa
  • Borlandi , A. , ed. 1963 . Il manuale di mercatura da Saminiato de Ricci 150 – 150 . Genoa
  • Sesiano , J. 1984 . Les Problemes Mathematiques du Memorials de F. Bartoli . Physis: Rivista internazionale di Storia della Scienza , 26 : 129 – 150 . (129, 134–5).
  • Van Egmond . 1980 . Practical Mathematics in the Italian Renaissance: A Catalogue of Italian Abacus Manuscripts and Printed Books to 1600 , 7 – 7 . Florence : Istituto e Museo di Storia della Scienzia .
  • Van Egmond , W. 1978 . The earliest venacular treatment of algebra: The Libro de Ragione of Paolo Gerardi 1328 . Physis: Rivista internazionale di Storia della Scienza , 20 : 155 – 189 .
  • Franci , R. and Rigatelli , L. Toti . 1985 . Maestro Benedetto e la Storia dell'Algebra . Historia Mathematica , 10 : 297 – 317 .
  • In addition to Ore O. I Problemi di Mathematico Nello Zibaldone da Canal Zibaldone da Canal, manoscritto mercantile del secolo XIV Stussi Fonti per la Storia di Venezia Venice 1967 lxxi lxxvi in 58 and 59 there are: R. Franci and L. Toti Rigatelli, ‘Fourteenth-century Italian Algebra’, in Hay (footnote 3), 11–29. Also their Introduzione all'arithmetica mercantile (Urbino, 1982); K. H. Parhall, ‘A Study in the Natural Selection of Ideas: The Art of Algebra from al-Khwarismi to Viete’, History of Science, 26, pt 2 (1988), 129–64; S. A. Jaywardine, ‘The Influence of Practical Arithmetics on the Algebra of Raphael Bombelli’, Isis, 64 (1973), 510–23 (516); R. Franci, ‘Antonio de Mazzinghi: An Algebraist of the Fourteenth-Century’, Historia Mathematica, 15 (1988), 240–9; and W. Van Egmond, ‘The Algebra of Master Dardi of Pisa’, Historia Mathematica, 10 (1983), 399–421.
  • Van Egmond . 1988 . “ How Algebra came to France ” . In Mathematics from Manuscript to Print, 1300–1600 Edited by: Hay , C. 133 – 135 . Oxford in
  • Benoit, in Hay Van Egmond W. How Algebra came to France Mathematics from Manuscript to Print, 1300–1600 Hay C. Oxford 1988 96 116 in
  • Benoit Van Egmond W. How Algebra came to France Mathematics from Manuscript to Print, 1300–1600 Hay C. Oxford 1988 106 107 in
  • Smith , D.E. 1924 . The First Printed Arithmetic, Treviso 1478 . Isis , 6 : 311 – 331 .
  • Smith , D.E. 1926 . The First Great Commercial Arithmetic . Isis , 8 : 41 – 49 . (48).
  • Karpinski , L.C. 1936 . The First Printed Arithmetic of Spain: Franchech Sanct Climent', Suma de la Art de Arismetica, Barcelona, 1482 . Osiris , 1 : 411 – 420 .
  • Widman , Johannes . 1489 . Behend und hübsch Rechnung uff allen Kauffmanschaften Leipzig
  • Pacioli , Luca . 1494 . Summa de arithmetica, geometria, proportioni et proportinalita Venice The version used in this paper is the Bologna edition of 1523 held by the Bodleian Library.
  • Vogel . 1971 . “ Fibonacci, Leonardo, or Leonardo of Pisa ” . In Dictionary of Scientific Biography Vol. IV , 611 – 612 . New York E. Picutti, ‘Il Libro dei Quadrati di Leonardo Pisano e i Problemi di Analisi Indeterminata nel Codice Palatino 557, della Biblioteca Nazionale di Firenze’, Physis: Rivista internazionale di Storia della Scienza, 21 (1979), 195—339.
  • Spufford . 1988 . Money and its use in Medieval Europe Cambridge Chapters 4 and 5.
  • Joseph , G.G. 1992 . The Crest of the Peacock: Non-European Roots of Mathematics Harmondsworth
  • Ore , O. 1967 . “ I Problemi di Mathematico Nello Zibaldone da Canal ” . In Zibaldone da Canal, manoscritto mercantile del secolo XIV , Edited by: Stussi . lxxi – lxxvi . Venice : Fonti per la Storia di Venezia . in
  • Franci and Rigatelli . 1985 . Towards a history of Algebra from Leonardo of Pisa to Luca Pacioli . Janus , 72 : 52 – 52 .
  • Struik , D.J. 1968 . The Prohibition of the Use of Arabic Numerals in Florence . Archiv international d'Histoire des Science , 21 : 291 – 294 .

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