Skip to main content

Preface

  • Chapter
  • First Online:
The Mathematics of Darwin’s Legacy

Abstract

The year 2009 had two important scientific celebrations: “The International Year of Astronomy” and the “Darwin Year”. In Astronomy, four hundred years had passed since the first use of the telescope by Galileo Galilei and publication of the first two planetary laws by Johannes Kepler in the book Astronomia nova, published in Prague in 1609. In Biology, the bicentennial of Darwin’s birthday and the sesquicentennial of the publication of his book The Origin of Species, published in London in 1859, are two important ephemerides of what is now commonly known as the theory of evolution [1]. However, 1809 was also the year of publication in Paris of the book Philosophie zoologique, by Jean-Baptiste Lamarck [2], containing an outline of the theory of evolution, although without the key concept of natural selection that was proposed later by Charles Darwin and, independently, by Alfred Russell Wallace.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Darwin, On the Origin of Species by Means of Natural Selection or the Preservation of Favoured Races in the Struggle for Life. John Murray, London, 1859.

    Google Scholar 

  2. J.B. Lamarck, Philosophie zoologique ou exposition des consid´erations relatives `a l’histoire naturelle des animaux. Dentu, Paris, 1809.

    Google Scholar 

  3. M.A. Nowak, Evolutionary Dynamics: Exploring the Equations of Life. The Belknap Press of Harvard University Press, Cambridge, MA, 2006.

    Google Scholar 

  4. G. Mendel, Versuche ¨uber Pflanzenhybriden. (Experiments relating to plant hybridization). Verh. Naturforsch. Ver. Br¨unn 4 (1866), 3–17.

    Google Scholar 

  5. M. Kimura, The Neutral Theory of Molecular Evolution. Cambridge: University Press, UK, 1983.

    Google Scholar 

  6. J. Maynard Smith, Evolution and the Theory of Games. Cambridge University Press, Cambridge, UK, 1982.

    Google Scholar 

  7. T.L. Vincent and J.S. Brown, Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics. Cambridge University Press, UK, 2005.

    Google Scholar 

  8. L.E. Sigler, Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation. Springer-Verlag, New York, 2002, a translation of Leonardo Pisano’s book of 1202 from Latin into modern English.

    Google Scholar 

  9. L. Euler, Introductio in Analysin Infinitorum, 1748. English Translation: John Blanton, Introduction to Analysis of the Infinite, volume I and II. Springer-Verlag, Berlin, 1988.

    Google Scholar 

  10. L. Euler, Recherches g´en´erales sur la mortalit´e et la multiplication du genre humain. Mem. Acad. R. Sci. Belles Lett. (Berlin) 16 (1767), 144–164.

    Google Scholar 

  11. D. Bernoulli, Essai d’une nouvelle analyse de la mortalit´e caus´ee par la petite v´erole. Mem. Math. Phy. Acad. Roy. Sci. Paris, ann´ee 1760 (1766).

    Google Scholar 

  12. P.H. Leslie, On the use of matrices in certain population mathematics. Biometrika 33 (1945), 183–212.

    Article  MATH  MathSciNet  Google Scholar 

  13. P.F. Verhulst, Notice sur la loi que la population pursuit dans son accroisement. Corresp.Math. Phys. 10 (1838), 113–121.

    Google Scholar 

  14. G. Israel, The emergence of biomathematics and the case of population dynamics, a revival of mechanical reductionism and darwinism. Science in Context 6 (1993), 469–509.

    Article  Google Scholar 

  15. N. Baca¨er, Histoires de Math´ematiques et de Populations. Editions Cassini, Paris, 2009.

    Google Scholar 

  16. G.H. Hardy, Mendelian proportions in a mixed population. Science 28 (1908), 49–50.

    Article  Google Scholar 

  17. W. Weinberg, ¨ Uber den Nachweis der Vererbung beim Menschen. (On the detection of heredity in man). Jahreshelfts. Ver. Vaterl. Naturf.W¨urttemb. 64 (1908), 368–382.

    Google Scholar 

  18. R.A. Fisher, The Genetical Theory of Natural Selection. Clarendon Press, Oxford,1930.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fabio A. C. C. Chalub .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Basel AG

About this chapter

Cite this chapter

Chalub, F.A.C.C., Rodrigues, J.F. (2011). Preface. In: Chalub, F., Rodrigues, J. (eds) The Mathematics of Darwin’s Legacy. Mathematics and Biosciences in Interaction. Springer, Basel. https://doi.org/10.1007/978-3-0348-0122-5_1

Download citation

Publish with us

Policies and ethics