Skip to main content

Natural Philosophy

  • Chapter
  • 241 Accesses

Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 12))

Abstract

During the Renaissance there was a tremendous European interest in mathematics and it produced a more sophisticated and effective algebra. This algebra was combined with various geometric procedures and other concepts to yield the methods of analysis. In classical mathematics quantitative methods were applicable only to “numbers,” i.e., natural or mixed, and a limited range of geometric magnitudes. The new analysis represented an extension of quantitative procedures to a much larger domain of experience including, kinetics, dynamics, the properties of matter, and to a far more general “analytic” geometry. This was the critical intellectual achievement that produced the modern exact sciences.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abraham, Max, and Becker, Richard, Electricity and Magnetism (English translation), Hafner Publishing Company, New York (1932).

    Google Scholar 

  2. Bergmann, P. G., Mechanics and Electrodynamics (reprint), Dover Publications, Inc., New York (1962).

    Google Scholar 

  3. Bliss, G. A., Lectures on the Calculus of Variations, University of Chicago Press, Chicago (1946).

    Google Scholar 

  4. Boyer, Carl B., The History of the Calculus and Its Conceptual Development (2nd edition), Dover Publications, Inc., New York (1959).

    Google Scholar 

  5. Brillouin, Leon, Les Tenseurs en Mechanique et en Elasticité (reprint), Dover Publications, New York (1946).

    Google Scholar 

  6. Cajori, Florian, Sir Isaac Newton’s Mathematical Principles of Natural Philosophy and His System of the World (Andrew Motte translation), University of California Press, Berkeley, California (1946), pp. 29ff.

    Google Scholar 

  7. Eisenhart, L. P., Riemannian Geometry (reprint), Princeton University Press, Princeton, New Jersey (1950).

    Google Scholar 

  8. Flanders, Harley, Differential Forms, Academic Press, New York (1963).

    Google Scholar 

  9. Heath, Sir Thomas, A History of Greek Mathematics. Vol. II, Oxford at the Clarendon Press, Oxford, England (1921).

    Google Scholar 

  10. Heitier, W., The Quantum Theory of Radiation (3rd edition), Clarendon Press, Oxford, England (1954).

    Google Scholar 

  11. Helgason, Sigurdur, Differential Geometry and Symmetric Spaces, Academic Press, New York (1962).

    Google Scholar 

  12. Kellogg, O. D., Foundations of Potential Theory (reprint), Dover Publications, Inc., New York (1953).

    Google Scholar 

  13. Klein, Jacob, Greek Mathematical Thought and the Origin of Algebra (English translation), The M.I.T. Press, Cambridge, Massachusetts (1968).

    Google Scholar 

  14. Lamb, Sir Horace, Hydrodynamics (reprint), Dover Publications, Inc., New York (1945).

    Google Scholar 

  15. Lanczos, Cornelius, The Variational Principles of Mechanics (3rd edition), University of Toronto Press, Toronto (1966).

    Google Scholar 

  16. Mason, Max, and Weaver, Warren, The Electromagnetic Field, Dover Publications, Inc., New York.

    Google Scholar 

  17. Mayer, J. E., and Mayer, M. P., Statistical Mechanics, John Wiley and Sons, Inc., New York (1966).

    Google Scholar 

  18. Robinson, Abraham, Non-Standard Analysis, North-Holland Publishing Co., Amsterdam (1966).

    Google Scholar 

  19. Smith, David Eugene, A Source Book in Mathematics, McGraw-Hill Book Company, Inc., New York and London (1929).

    Google Scholar 

  20. Van der Waerden, B. L., Science Awakening (English translation), P. Noordhoff Ltd., Gröningen, Holland (1954).

    Google Scholar 

  21. Weyl, Herman, Space, Time and Matter, Dover Publications, Inc., New York (1922).

    Google Scholar 

  22. Whitney, Hassler, Geometric Integration Theory, Princeton University Press, Princeton, New Jersey (1957).

    Google Scholar 

  23. Whittaker, E. T., A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Dover Publications, Inc., New York (1944).

    Google Scholar 

  24. Whittaker, Sir Edmund, A History of the Theories of Aether and Electricity, Harper Brothers, New York (1960).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1978 Plenum Press, New York

About this chapter

Cite this chapter

Murray, F.J. (1978). Natural Philosophy. In: Applied Mathematics. Mathematical Concepts and Methods in Science and Engineering, vol 12. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3312-8_6

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-3312-8_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3314-2

  • Online ISBN: 978-1-4684-3312-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics