Bibliography for the history of resonance

Jordan Bell
August 22, 2015

Truesdell on Leonardo [156, pp. 18–20]: Leonardo first to use a “light rider” to demonstrate sympathetic vibration (MS A 22v.)

Truesdell [155, p. 108]

Zubov [173, p. 88]: Paris Manuscript A, 22v; MacCurdy 267

Philoponus [134, pp. 46, 135]

Plotinus [147, p. 155]

Grosseteste’s commentary on Aristotle’s Posterior Analytics, book 2, chapter 4.

Chinese [142, pp. 14,15,1814]

Bibliotheca mathematica 3. Folge vol. 4, p. 378; 3. Folge vol 6, pp. 32, 48, 42, 22, 33, 50; vol. 7, pp. 148, 152; 3. Folge vol. 9, p. 349; 3. Folge vol. 12, p. 240

Grendler [79, p. 11]

Thorndike [151, p. 600]

Pohl and Deans [135, p. 259]

Chapman [28, Chapter 10]

Whewell [165, p. 297]

Finlay-Fruendlich [65, pp. 95, 117]

Barker [12, p. 116]

Folta [66, p. 103]

Handbuch der Physik, Festkörpermechanik I, Volume 1, p. 156

Francis Bacon [63, pp. 141–152]

Commercium p. 243

Bibliotheca Mathematica, p. 240, 1912

Euler on tides E57 [59, pp. 300–304]

Courant [42, p. 514]

Hargreave [84, p. 102]

Olenick [127, p. 400]

Sambursky [138, pp. 9, 41–42], and on Philoponus and Theon of Smyrna [139, pp. 100–104]

Newton’s notebooks [115, p. 310]

Truesdell [154, pp. 22, 170–178]

Kassler [95, pp. 53, 57]

Whiteside [167, p. 335]

Commercium [64, pp. 54, 58, 304, 305, 695]

Commentationes mechanicae ad theoriam corporum fluidorum pertinentes 2nd part, p. LXII

Louise Diehl Patterson, Hooke’s Analysis of Simple Harmonic Motion

Zeidler [172, §5.9]

Lynn White [166, pp. 126–127]

Schaffer [140, p. 157]

Greenberg [78, p. 548]

A history of science and technology, Volume 2 p. 368, Robert James Forbes, Eduard Jan Dijksterhuis

Resonance in watches, p. 325 vol. 146 No. 9 September 2004, Horological Journal

The application of the pendulum to timekeeping (Huygens, 1656-57) gave us for the first time an oscillating controller with its own natural frequency. (The verge-and-foliot mechanism of the early clocks oscillated at a frequency that was in large part a function of the driving force, which has implications for perturbation and irregularity.)

Mahoney [111, p. 303]

Cross [46, p. 227]

G. W. Krafft, Observatio eclipseos solaris d. 25 Iulii 1748 Tubingae facta, Novi Commentarii, tom. I, among his instruments was a horologium portatile Londinense

Commercium [41, p. 77]

R. 2642, Letter 122, Teplov

Euler, Opera omnia, Vol. II, p. 54, 58

Euler to Lambert letter, R. 1408, p. 243 of Index

Hund [92, p. 170]

Todhunter [153, p. 39]

Mach [110, p. 272]

Sommerfeld [146]

Truesdell [159, p. 309] writing about the Euler-Daniel Bernoulli correspondence states that it is unclear from the summaries of the letters whether Bernoulli understood Euler’s discovery of resonance. Truesdell [159, p. 323] in his review of Opera omnia II.10-11, states that E126 contains the first analysis of a single harmonically driven oscillator.

Truesdell on moment of momentum [157, pp. 239–271], “Whence the law of moment of momentum?”

Steele [148, p. 349]

Euler and modern science, p. 228, 226, 171

Newton Principia, Section VII, Book II, Proposition XXXVIII, Theorem XII

Die Werke Von Johann I Und Nicolaus II Bernoulli, p. 8

Procés-verbaux des séances de l’Académie impériale des sciences depuis sa fondation jusqu’à 1803, Tome I, p. 522, 554

Pesic [133, p. 22]

Kaye [97, p. 287] on Jean de Jandun’s Tractatus de laudibus Parisius

References

  • [1] G. B. Abalos and G. M. Espinosa (2011) From history to research in mathematics education: socio-epistemological elements for trigonometric functions. In Recent Developments on Introducing a Historical Dimension in Mathematics Education, V. Katz and C. Tzanakis (Eds.), pp. 67–82.
  • [2] D. Acheson (1997) From calculus to chaos: an introduction to dynamics. Oxford University Press.
  • [3] R. Adams and L. Jardine (2006) The return of the Hooke folio. Notes and Records Roy. Soc. London 60 (3), pp. 235–239.
  • [4] J. Agassi (2008) Science and its history: a reassessment of the historiography of science. Boston Studies in the Philosophy of Science, Vol. 253, Springer.
  • [5] T. Archibald (2003) Differential equations: a historical overview to circa 1900. In A History of Analysis, H. N. Jahnke (Ed.), History of Mathematics, Vol. 24, pp. 325–353.
  • [6] P. E. Ariotti (1968) Galileo on the isochrony of the pendulum. Isis 59 (4), pp. 414–426.
  • [7] P. E. Ariotti (1972) Aspects of the conception and development of the pendulum in the 17th century. Arch. Hist. Exact Sci. 8 (5), pp. 329–410.
  • [8] R. G. Arns and B. E. Crawford (1995) Resonant cavities in the history of architectural acoustics. Technology and Culture 36 (1), pp. 104–135.
  • [9] M. Ball (2005) The early balance spring watch: a brief history. Antiquarian Horology 29 (6), pp. 760–774.
  • [10] O. Bar-Yosef (1986) The walls of Jericho: an alternative interpretation. Current Anthropology 27 (2), pp. 157–162.
  • [11] P. Barbieri (2001) “Galileo’s” coincidence theory of consonances, from Nicomachus to Sauveur. Recercare 13, pp. 201–232.
  • [12] A. Barker (2004) Greek musical writings, vol. II: harmonic and acoustic theory. Cambridge Readings in the Literature of Music, Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [13] H. Bateman (1943) The influence of tidal theory upon the development of mathematics. National Mathematics Magazine 18 (1), pp. 14–26.
  • [14] D. Baumann (1990) Musical acoustics in the middle ages. Early Music XVIII (2), pp. 199–212.
  • [15] S. A. Bedini (1991) The pulse of time: Galileo Galilei, the determination of longitude, and the pendulum clock. Leo S. Olschki, Florence.
  • [16] J. A. Bennett (1980/81) Robert Hooke as mechanic and natural philosopher. Notes and Records Roy. Soc. London 35 (1), pp. 33–48.
  • [17] D. Benson (2007) Music: a mathematical offering. Cambridge University Press, Cambridge.
  • [18] K. v. Berkel (2013) Isaac Beeckman on matter and motion: mechanical philosophy in the making. Johns Hopkins University Press. Note: Translated from the Dutch by Maarten Ultee
  • [19] D. Bernoulli (1751) Excerpta ex litteris a Daniele Bernoulli ad Leonhardum Euler. Commentarii academiae scientiarum imperialis Petropolitanae 13, pp. 3–15. Note: Werke 2, pp. 81–93
  • [20] R. E. D. Bishop and D. C. Johnson (1960) The mechanics of vibration. Cambridge University Press.
  • [21] G. Brusa (1989) Early mechanical horology in italy. Antiquarian Horology 18 (5), pp. 485–525.
  • [22] E. Bruton (1979) The history of clocks and watches. Orbis, London.
  • [23] G. Buendía and F. Cordero (2005) Prediction and the periodical aspect as generators of knowledge in a social practice. Educational Studies in Mathematics 58 (3), pp. 299–333.
  • [24] M. F. Burnyeat (1999) How much happens when Aristotle sees red and hears middle C? remarks on De Anima 2.7–8. In Essays on Aristotle’s De Anima, M. C. Nussbaum and A. O. Rorty (Eds.), pp. 421–434.
  • [25] J. T. Cannon and S. Dostrovsky (1981) The evolution of dynamics: vibration theory from 1687 to 1742. Studies in the History of Mathematics and Physical Sciences, Vol. 6, Springer.
  • [26] F. Capra (2008) The science of Leonardo: inside the mind of the great genius of the Renaissance. Anchor.
  • [27] D. E. Cartwright (2001) Tides: a scientific history. Cambridge University Press.
  • [28] A. Chapman (2005) England’s Leonardo: Robert Hooke and the seventeenth-century scientific revolution. Institute of Physics Publishing, Bristol and Philadelphia. Cited by: Bibliography for the history of resonance.
  • [29] J. C. Y. Chen (1996) Early Chinese work in natural science: a re-examination of the physics of motion, acoustics, astronomy and scientific thought. Hong Kong University Press.
  • [30] V. L. Chenakal (1972) Watchmakers and clockmakers in Russia, 1400 to 1850. Antiquarian Horological Society. Note: Translated from the Russian by W. F. Ryan
  • [31] T. Christensen (Ed.) (2002) The cambridge history of western music theory. Cambridge University Press.
  • [32] T. Christensen (2004) Rameau and musical thought in the Enlightenment. Cambridge Studies in Music Theory and Analysis, Cambridge University Press.
  • [33] C. M. Cipolla (2003) Clocks and culture: 1300-1700. W. W. Norton & Company.
  • [34] M. Clagett (1959) The science of mechanics in the middle ages. The University of Wisconsin Publications in Medieval Science, Vol. 4, University of Wisconsin Press, Madison.
  • [35] C. Clutton (1978) The pocket watch. Antiquarian Horology 11 (2), pp. 206.
  • [36] H. F. Cohen (1984) Quantifying music: the science of music at the first stage of scientific revolution, 1580–1650. The University of Western Ontario Series in Philosophy of Science, Vol. 23, Kluwer.
  • [37] H. F. Cohen (2000) Galileo Galilei. In Number to Sound: The Musical Way to the Scientific Revolution, P. Gozza (Ed.), The Western Ontario Series in Philosophy of Science, Vol. 64, pp. 219–232.
  • [38] H. F. Cohen (2000) Isaac Beeckman. In Number to Sound: The Musical Way to the Scientific Revolution, P. Gozza (Ed.), The Western Ontario Series in Philosophy of Science, Vol. 64, pp. 233–264.
  • [39] H. F. Cohen (2011) How modern science came into the world: four civilizations, one 17th-century breakthrough. Amsterdam University Press.
  • [40] S. N. Coleman (1928) Bells: their history, legends, making, and uses. Rand McNally, Chicago.
  • [41] P. Costabel, A. T. Grigorijan, and A. P. Juskevic (Eds.) (1986) Leonhardi Euleri Opera omnia. Series quarta A: Commercium epistolicum. Volumen sextum: Correspondance de Leonhard Euler avec P.-L. M. de Maupertuis et Frédéric II. Birkhäuser, Basel. Cited by: Bibliography for the history of resonance.
  • [42] R. Courant (1937) Differential and integral calculus, vol. i. second edition, Blackie & Sons, London. Cited by: Bibliography for the history of resonance.
  • [43] H. J. Cowan (1966) An historical outline of architectural science. Elsevier.
  • [44] D. Creese (2010) The monochord in ancient Greek harmonic science. Cambridge Classical Studies, Cambridge University Press.
  • [45] A. C. Crombie (1990) Science, optics, and music in medieval and early modern thought. Hambledon Press, London, UK.
  • [46] A. Cross (2007) “By the banks of the Neva”: chapters from the lives and careers of the British in eighteenth-century Russia. Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [47] O. Darrigol (2005) Worlds of flow: a history of hydrodynamics from the Bernoullis to Prandtl. Oxford University Press.
  • [48] O. Darrigol (2007) The acoustic origins of harmonic analysis. Arch. Hist. Exact Sci. 61 (4), pp. 343–424.
  • [49] O. Darrigol (2012) A history of optics from Greek antiquity to the nineteenth century. Oxford University Press.
  • [50] M. A. B. Deakin (1985) Euler’s invention of integral transforms. Arch. Hist. Exact Sci. 33 (4), pp. 307–319.
  • [51] W. Derham (1704) Experiments about the motion of pendulums in vacuo. Phil. Trans. 24, pp. 1785–1789.
  • [52] A. D. Dimarogonas (1990) The origins of vibration theory. Journal of Sound and Vibration 140 (2), pp. 181–189.
  • [53] S. Dostrovsky (1975) Early vibration theory: physics and music in the seventeenth century. Arch. History Exact Sci. 14 (3), pp. 169–218.
  • [54] R. Du and L. Xie (2013) The mechanics of mechanical watches and clocks. History of Mechanism and Machine Science, Vol. 21, Springer.
  • [55] R. Dugas (2011) A history of mechanics. Dover.
  • [56] J. Ellicott (1739) An account of the influence which two pendulum clocks were observed to have upon each other. Phil. Trans. 41, pp. 126–128.
  • [57] A. Englebert (Ed.) (1994) Die Werke von Daniel Bernoulli, Band 7: Technologie I. Springer.
  • [58] V. Erlmann (2011) Descartes’s resonant subject. differences 22 (2–3), pp. 10–30.
  • [59] L. Euler (1741) Inquisitio physica in causam fluxus ac refluxus maris. In Pièces qui ont remporté le prix de l’académie royale des sciences, en M. DCC. XL. Sur le Flux & Reflux de la Mer, pp. 235–350. Cited by: Bibliography for the history of resonance.
  • [60] L. Euler (1743) De integratione aequationum differentialium altiorum graduum. Miscellanea Berolinensia 7, pp. 193–242. Note: Opera omnia I.22, pp. 108–149
  • [61] L. Euler (1750) De novo genere oscillationum. Commentarii academiae scientiarum Petropolitanae 11, pp. 128–149. Note: Opera omnia II.10, pp. 78–97
  • [62] L. Eulerus (1957) Opera omnia. Series secunda. Opera mechanica et astronomica. Vol. XI. Sectio prima Commentationes mechanicae ad theoriam corporum flexibilium et elasticorum pertinentes. Vol. posterius. Sectio prima. Societas Scientiarum Naturalium Helveticae, Lausanne.
  • [63] M. Fattori (Ed.) (1984) Francis Bacon: terminologia e fortuna nel XVII secolo. Edizioni dell’Ateneo, Rome. Cited by: Bibliography for the history of resonance.
  • [64] E. A. Fellmann and G. K. Mikhajlov (Eds.) (1998) Leonhardi Euleri Opera omnia. Series quarta A: Commercium epistolicum. Volumen secundum: Briefwechsel von Leonhard Euler mit Johann I Bernoulli und Niklaus I Bernoulli. Birkhäuser, Basel. Cited by: Bibliography for the history of resonance.
  • [65] E. Finlay-Fruendlich (1958) Celestial mechanics. Pergamon Press. Cited by: Bibliography for the history of resonance.
  • [66] J. Folta (1998) Mysterium cosmographicum 1596–1996. Acta historiae rerum naturalium necnon technicarum, Vol. 2, National Technical Museum in Prague. Cited by: Bibliography for the history of resonance.
  • [67] J. Freely (2012) Flame of Miletus: the birth of science in ancient Greece (and how it changed the world). I.B. Tauris.
  • [68] A. P. French (1971) Vibrations and waves. M.I.T. Introductory Physics Series, W. W. Norton & Company, New York.
  • [69] E. Garber (1999) The language of physics: the calculus and the development of theoretical physics, 1750–1914. Birkhäuser.
  • [70] W. J. Gazeley (1992) Clock & watch escapements. Robert Hale.
  • [71] P. M. Gouk (1980) The role of acoustics and music theory in the scientific work of Robert Hooke. Ann. of Sci. 37 (5), pp. 573–605.
  • [72] P. Gouk (1982) Acoustics in the early Royal Society 1660–1680. Notes and Records Roy. Soc. London 36, pp. 155–175.
  • [73] P. Gouk (1999) Music, science and natural magic in seventeenth-century England. Yale University Press.
  • [74] P. Gouk (2000) Music in Francis Bacon’s natural philosophy. In Number to Sound: The Musical Way to the Scientific Revolution, P. Gozza (Ed.), The Western Ontario Series in Philosophy of Science, Vol. 64, pp. 135–152.
  • [75] E. Grant (1960) Nicole Oresme and his De proportionibus proportionum. Isis 51 (3), pp. 293–314.
  • [76] E. Grant (1965) Bradwardine and Galileo: equality of velocities in the void. Arch. Hist. Exact Sci. 2 (4), pp. 344–364.
  • [77] R. M. Grant (2013) Ad infinitum: numbers and series in early modern music theory. Music Theory Spectrum 35 (1), pp. 62–76.
  • [78] J. L. Greenberg (1995) The problem of the earth’s shape from Newton to Clairaut: the rise of mathematical science in eighteenth-century Paris and the fall of “normal” science. Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [79] P. F. Grendler (Ed.) (1999) Encyclopedia of the renaissance, vol. I. Charles Scribner’s Sons. Cited by: Bibliography for the history of resonance.
  • [80] J. Guckenheimer and P. Holmes (2002) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Applied Mathematical Sciences, Vol. 42, Springer.
  • [81] A. R. Hall (1951) Robert Hooke and horology. Notes and Records Roy. Soc. London 8 (2), pp. 167–177.
  • [82] L. N. Hand and J. D. Finch (1998) Analytical mechanics. Cambridge University Press.
  • [83] B. Hansen (1976) Science and magic. In Science in the Middle Ages, D. C. Lindberg (Ed.), pp. 483–506.
  • [84] D. Hargreave (1973) Thomas Young’s theory of color vision: its roots, development, and acceptance by the British scientific community. Ph.D. Thesis, University of Wisconsin–Madison. Cited by: Bibliography for the history of resonance.
  • [85] E. J. Heller (2012) Why you hear what you hear: an experiential approach to sound, music, and psychoacoustics. Princeton University Press.
  • [86] M. B. Hesse (1961) Forces and fields: the concept of action at a distance in the history of physics. Thomas Nelson and Sons, London.
  • [87] M. B. Hesse (1966) Hooke’s vibration theory and the isochrony of springs. Isis 57 (4), pp. 433–441.
  • [88] H. Heuser (2009) Gewöhnliche Differentialgleichungen: Einführung in Lehre und Gebrauch. sixth edition, Vieweg+Teubner.
  • [89] H. Hoffmann (1710) Descriptio penduli, quod suas exacte numerat vibrationes simplices. Miscellanea Berolinensia 1, pp. 321–325.
  • [90] D. Hughes (1959) Bells and bellfounding. Antiquarian Horology 3 (4), pp. 96–101.
  • [91] D. Hughes (1965) Bells and bellfounding. Antiquarian Horology 5 (7), pp. 233–240.
  • [92] F. Hund (1978) Geschichte der physikalischen Begriffe. Teil 1: Die Entstehung des mechanischen Naturbildes. Bibliographisches Institut. Cited by: Bibliography for the history of resonance.
  • [93] F. V. Hunt (1978) Origins in acoustics: the science of sound from antiquity to the age of Newton. Yale University Press.
  • [94] H. N. Jahnke (2003) Algebraic analysis in the 18th century. In A History of Analysis, H. N. Jahnke (Ed.), History of Mathematics, Vol. 24, pp. 105–136.
  • [95] J. C. Kassler (2004) The beginnings of the modern philosophy of music in England: Francis North’s “A Philosophical Essay of Music” (1677) with comments of Isaac Newton, Roger North and in the “philosophical transactions”. Ashgate Publishing. Cited by: Bibliography for the history of resonance.
  • [96] V. J. Katz (1987) The calculus of the trigonometric functions. Historia Math. 14, pp. 311–324.
  • [97] J. Kaye (2014) A history of balance, 1250–1375: the emergence of a new model of equilibrium and its impact on thought. Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [98] J. Kepler (1997) The harmony of the world. Memoirs of the American Philosophical Society, Vol. 209, American Philosophical Society. Note: Translated into English with an introduction and notes by E. J. Aiton, J. V. Field and A. M. Duncan
  • [99] F. G. Kilgour (1963) Vitruvius and the early history of wave theory. Technology and Culture 4 (3), pp. 282–286.
  • [100] G. W. Krafft (1747) De novo oscillationum genere. Commentarii academiae scientiarum Petropolitanae 10, pp. 200–206.
  • [101] E. Küllmer (1986) Mitschwingende Saiten: Musikinstrumente Mit Resonanzsaiten. Verlag für Systematische Musikwissenschaft.
  • [102] K. Kurrer (2008) The history of the theory of structures from arch analysis to computational mechanics. Ernst & Sohn.
  • [103] J. G. Landels (2001) Music in ancient Greece and Rome. Routledge.
  • [104] D. S. Landes (1989) Hand and mind in time measurement: the contributions of art and science. Notes and Records Roy. Soc. London 43 (1), pp. 57–69.
  • [105] F. R. Levin (1980) Plēgē and tasis in the Harmonika of Klaudios Ptolemaios. Hermes 108 (2), pp. 205–229.
  • [106] F. R. Levin (2009) Greek reflections on the nature of music. Cambridge University Press.
  • [107] R. B. Lindsay (1966) The story of acoustics. J. Acoust. Soc. Am. 39 (4), pp. 629–644.
  • [108] Ll. S. Lloyd (1940/1941) Musical theory in the early Philosophical Transactions. Notes and Records Roy. Soc. London 3, pp. 149–157.
  • [109] L. P. Look (2011) Understanding pendulums: a brief introduction. History of Mechanism and Machine Science, Vol. 12, Springer.
  • [110] E. Mach (2003) The principles of physical optics: an historical and philosophical treatment. Dover. Note: Translated from the German by John S. Anderson and A. F. A. Young Cited by: Bibliography for the history of resonance.
  • [111] M. S. Mahoney (2004) Drawing mechanics. In Picturing Machines 1400–1700, W. Lefèvre (Ed.), pp. 281–308. Cited by: Bibliography for the history of resonance.
  • [112] J. M. Manley (1982) The concept of frequency in linear system analysis. IEEE Communications Magazine 20 (1), pp. 26–35.
  • [113] T. Mathiesen (1999) Apollo’s lyre: Greek music and music theory in antiquity and the middle ages. University of Nebraska Press.
  • [114] M. R. Matthews (2000) Time for science education: how teaching the history and philosophy of pendulum motion can contribute to science literacy. Innovations in Science Education and Technology, Kluwer.
  • [115] J. E. McGuire and M. Tamny (2002) Certain philosophical questions: Newton’s Trinity notebook. Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [116] D. B. Meli (2006) Thinking with objects: the transformation of mechanics in the seventeenth century. Johns Hopkins University Press.
  • [117] W. I. Milham (1923) Time & timekeepers. Macmillan, New York.
  • [118] D. Molinini (2012) Learning from Euler. From mathematical practice to mathematical explanation. Philos. Sci. (Paris) 16 (1), pp. 105–127.
  • [119] F. C. Moon (2007) The machines of Leonardo da Vinci and Franz Reuleaux: kinematics of machines from the renaissance to the 20th century. History in Mechanism and Machine Science, Vol. 2, Springer.
  • [120] A. E. Moyer (1977) Robert Hooke’s ambiguous presentation of “Hooke’s law”. Isis 68 (2), pp. 266–275.
  • [121] R. Naylor (2007) Galileo’s tidal theory. Isis 98 (1), pp. 1–22.
  • [122] J. Needham (1956) Science and civilisation in China, vol. II: history of scientific thought. Cambridge University Press.
  • [123] J. Needham (1962) Science and civilisation in China, vol. iv: physics and physical technology, part 1: physics. Cambridge University Press.
  • [124] R. Newburgh (2005) The pendulum: a paradigm for the linear oscillator. In The Pendulum: Scientific, Historical, Philosophical and Educational Perspectives, M. Matthews, C. F. Gauld, and A. Stinner (Eds.), pp. 37–48.
  • [125] S. A. Norwick (2006) The history of metaphors of nature, vol. i. Edwin Mellen Press.
  • [126] H. Nowacki (2008) Leonhard euler and the theory of ships. Journal of Ship Research 52 (4), pp. 274–290.
  • [127] R. P. Olenick, T. M. Apostol, and D. L. Goodstein (1985) The mechanical universe: introduction to mechanics and heat. Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [128] C. V. Palisca (1961) Scientific empiricism in musical thought. In Seventeenth Century Science and the Arts, H. H. Rhys (Ed.), pp. 91–137.
  • [129] C. V. Palisca (2006) Music and ideas in the sixteenth and seventeenth centuries. Studies in the History of Music Theory and Literature, University of Illinois Press.
  • [130] P. Palmieri (1998) Re-examining Galileo’s theory of tides. Arch. Hist. Exact Sci. 53 (3/4), pp. 223–375.
  • [131] L. D. Patterson (1952) Pendulums of Wren and Hooke. Osiris 10, pp. 277–321.
  • [132] P. Pesic (2010) Hearing the irrational: music and the development of the modern concept of number. Isis 101 (3), pp. 501–530.
  • [133] P. Pesic (2014) Music and the making of modern science. The MIT Press. Cited by: Bibliography for the history of resonance.
  • [134] J. Philoponus (1993) On Aristotle’s Physics 2. Ancient Commentators on Aristotle, Cornell University Press. Note: Translated by A. R. Lacey Cited by: Bibliography for the history of resonance.
  • [135] R. W. Pohl and W. M. Deans (1932) Physical principles of mechanics and acoustics. Blackie & Son. Cited by: Bibliography for the history of resonance.
  • [136] J. Ravetz (1961) The representation of physical quantities in eighteenth-century mathematical physics. Isis 52, pp. 7–20.
  • [137] A. L. Rawlings (1944) The science of clocks and watches. Pitman Publishing Corporation, New York.
  • [138] S. Sambursky (1959) Physics of the Stoics. Routledge, London. Cited by: Bibliography for the history of resonance.
  • [139] S. Sambursky (1962) The physical world of late antiquity. Routledge & Kegan Paul, London. Cited by: Bibliography for the history of resonance.
  • [140] S. Schaffer (1995) The show that never ends: perpetual motion in the early eighteenth century. Br. J. Hist. Sci. 28 (2), pp. 157–189. Cited by: Bibliography for the history of resonance.
  • [141] B. Seal (1915) The positive sciences of the ancient Hindus. Longmans, Green and Company.
  • [142] H. Selin (Ed.) (1997) Encyclopaedia of the history of science, technology, and medicine in non-Western cultures, vol. I. second edition, Springer. Cited by: Bibliography for the history of resonance.
  • [143] A. A. Shabana (1991) Theory of vibration, vol. I. Mechanical Engineering Series, Springer.
  • [144] K. Simonyi (2012) A cultural history of physics. CRC Press.
  • [145] N. G. Siraisi (1975) The music of pulse in the writings of Italian academic physicians (fourteenth and fifteenth centuries). Speculum 50 (4), pp. 689–710.
  • [146] A. Sommerfeld (1952) Mechanics. Lectures on theoretical physics, vol. I. Academic Press. Note: Translated from the fourth German edition by Martin O. Stern Cited by: Bibliography for the history of resonance.
  • [147] R. Sorabji (2005) The philosophy of the commentators, 200-600 AD: a sourcebook. Volume 2: Physics. Cornell University Press. Cited by: Bibliography for the history of resonance.
  • [148] B. D. Steele (1994) Muskets and pendulums: Benjamin Robins, Leonhard Euler, and the ballistics revolution. Technology and Culture 35 (2), pp. 348–382. Cited by: Bibliography for the history of resonance.
  • [149] I. Szabó (1996) Geschichte der mechanischen Prinzipien und ihrer wichtigsten Anwendungen. Birkhäuser.
  • [150] G. Teschl (2012) Ordinary differential equations and dynamical systems. Graduate Studies in Mathematics, Vol. 140, American Mathematical Society, Providence, RI.
  • [151] L. Thorndike (1958) A history of magic and experimental science, vol. vii. Columbia University Press. Cited by: Bibliography for the history of resonance.
  • [152] S. P. Timoshenko (1983) History of strength of materials. Dover.
  • [153] I. Todhunter (1877) Natural philosophy for beginners, part II: sound, light, and heat. Macmillan, London. Cited by: Bibliography for the history of resonance.
  • [154] C. Truesdell (1960) Leonhardi Euleri Opera omnia, series II, volumen XI, sectio secunda: The rational mechanics of flexible or elastic bodies 1638–1788. Introduction to Leonhardi Euleri Opera omnia vol. X et XI seriei secundae. Orell Füssli, Zürich. Cited by: Bibliography for the history of resonance.
  • [155] C. Truesdell (1968) A program toward rediscovering the rational mechanics of the Age of Reason. In Essays in the History of Mechanics, C. Truesdell (Ed.), pp. 85–137. Cited by: Bibliography for the history of resonance.
  • [156] C. Truesdell (1968) The mechanics of Leonardo da Vinci. In Essays in the History of Mechanics, C. Truesdell (Ed.), pp. 1–83. Cited by: Bibliography for the history of resonance.
  • [157] C. Truesdell (1968) Whence the law of moment of momentum?. In Essays in the History of Mechanics, C. Truesdell (Ed.), pp. 239–271. Cited by: Bibliography for the history of resonance.
  • [158] C. Truesdell (1983) The influence of elasticity on analysis: the classical heritage. Bull. Amer. Math. Soc. 9 (3), pp. 293–310.
  • [159] C. Truesdell (1984) An idiot’s fugitive essays on science: methods, criticisms, training, circumstances. Springer. Cited by: Bibliography for the history of resonance.
  • [160] A. Verdun (2013) Leonhard Euler’s early lunar theories 1725–1752. Arch. Hist. Exact Sci 67 (5), pp. 477–551.
  • [161] F. Wadsworth (1978) Watches prior to 1750. Antiquarian Horology 11 (2), pp. 180–183.
  • [162] B. Wardhaugh (2008) Formal causes and mechanical causes: the analogy of the musical instrument in late seventeenth-century natural philosophy. In Philosophies of Technology: Francis Bacon and His Contemporaries, vol. 1, C. Zittel, G. Engel, R. Nanni, and N. C. Karafyllis (Eds.), Intersections : Yearbook for Early Modern Studies, Vol. 11, pp. 411–428.
  • [163] B. Wardhaugh (2008) Music, experiment and mathematics in England, 1653–1705. Ashgate.
  • [164] U. Wenzel (2010) The notion of causality in Aristotle and the medieval philosophy of nature: a developmental approach. In Concepts of Nature: A Chinese-European Cross-Cultural Perspective, H. U. Vogel and G. Dux (Eds.), pp. 161–180.
  • [165] W. Whewell (1837) History of the inductive sciences, from the earliest to the present times, vol. II. John W. Parker, London. Cited by: Bibliography for the history of resonance.
  • [166] L. White (1966) Medieval technology and social change. Oxford University Press. Cited by: Bibliography for the history of resonance.
  • [167] D. T. Whiteside (Ed.) (1974) The mathematical papers of Isaac Newton. Vol. VI, Cambridge University Press. Cited by: Bibliography for the history of resonance.
  • [168] D. T. Whiteside (1961) Patterns of mathematical thought in the later seventeenth century. Arch. Hist. Exact Sci. 1, pp. 179–388.
  • [169] E. Williams (1956) Hooke’s law and the concept of the elastic limit. Ann. of Sci. 12 (1), pp. 74–83.
  • [170] M. Wright (1989) Robert Hooke’s longitude timekeeper. In Robert Hooke: New Studies, M. Hunter and S. Schaffer (Eds.), pp. 63–118.
  • [171] J. G. Yoder (2004) Unrolling time: Christiaan Huygens and the mathematization of nature. Cambridge University Press.
  • [172] E. Zeidler (1999) Applied functional analysis: applications to mathematical physics. Applied Mathematical Sciences, Vol. 108, Springer. Cited by: Bibliography for the history of resonance.
  • [173] Z. P. Zubov (1968) Leonardo da Vinci. Harvard University Press. Note: Translated from the Russian by David H. Kraus Cited by: Bibliography for the history of resonance.