SciRev

(Studies in the Scientific Revolution)

Assignment 10: Due Thursday, 11/8/07


Exam Review: Ass10_NewtonReview84.pdf [1.2M]

 


NewtonÕs Death Mask [inverted to be creepier]


Read JardineÕs 1-page Newton biography: Jardin_Ingenious_NewtonBio.pdf [388 KB]

 

Read KoestlerÕs Chapter on Newton, pp. 496-510: Koestler_SleepWalkers-Newton120.pdf [1.3 MB]

 

Read pp. 148-184 by I. B. Cohen on the physics of Newton: Cohen_BirthNewPhysics_NewtonParts120.pdf [4.1 MB]

          If you are math-phobic, just skim the mathy parts.  But try to figure out the physics.  How did Newton make the world work?


Read pp. 664-672 of this PDF on Newtonian mechanics:  Meli_Mechanics_Cambridge120.pdf [5.9 MB]. This isnÕt too mathy.

 

or

 

Read pp. 718-723 of this PDF on Newtonian mathematics: Andersen-Bos_CambridgeEarlyModCh28PureMath120.pdf [3.1 MB].  This isnÕt too mathy either.


Write an essay. I encourage those of you with interests in mathematics to do some math and derive some of this stuff.  When doing math for this class, comment on what you are doing, donÕt just hand in a bunch of formulas and numbers.  Comment off to the side describing what you are doing and why.  Comment on anything that you are not sure about. If you donÕt fully understand where a formula comes from, let me know. Speculate on what a mysterious formula might mean physically.  We use tons of mathematical physics all the time and donÕt know where it came from. I donÕt expect you to know everything.  Ignorance is fine, just let me know about it. 

Those of you who donÕt like math, you may want to focus on the Koestler, Meli, and the Andersen for your essays.


Citations to the above readings.

 

Andersen, Kirsti, and Henk J. M. Bos. "Pure Mathematics." In The Cambridge History of Science: Early Modern Science (1490-1730), ed. Katharine Park and Lorraine Daston, pp. 696-723. New York: Cambridge University Press, 2006.

 

Cohen, I. Bernard. The Birth of a New Physics. Revised and updated ed. New York: W.W. Norton, 1985.

 

Jardine, Lisa. Ingenious Pursuits: Building the Scientific Revolution. Anchor Books, 2000.

 

Koestler, Arthur. The Sleepwalkers : A History of Man's Changing Vision of the Universe. New York: Macmillan, 1959.

 

Meli, Domenico Bertoloni. "Mechanics." In The Cambridge History of Science: Early Modern Science (1490-1730), ed. Katharine Park and Lorraine Daston, pp. 632-695. New York: Cambridge University Press, 2006.


Additional sources of interest for souped-up essays:  These could be used for a souped-up assignment. There are several things you could use for a souped-up essay.

 

Andersen, Kirsti, and Henk J. M. Bos. "Pure Mathematics." In The Cambridge History of Science: Early Modern Science (1490-1730), ed. Katharine Park and Lorraine Daston, pp. 696-723. New York: Cambridge University Press, 2006.

            - I only assigned part of this article. The entire article could be utilized for a souped-up essay.

 

Cohen, I. Bernard. The Birth of a New Physics. Revised and updated ed. New York: W.W. Norton, 1985.

            - ŌSupplementsĶ on Newtonian issues are included in the linked PDF above. These are mostly mathematical physics details.  These go well with the Park linked below.

 

Meli, Domenico Bertoloni. "Mechanics." In The Cambridge History of Science: Early Modern Science (1490-1730), ed. Katharine Park and Lorraine Daston, pp. 632-695. New York: Cambridge University Press, 2006.

            - I only assigned part of this article. The entire article could be utilized for a souped-up essay.

 

Struik, Dirk Jan. A Source Book in Mathematics, 1200-1800.  Source Books in the History of the Sciences. Cambridge, Mass.,: Harvard University Press, 1969.

            Newton-Gregory_BinomialSeries.pdf [1.8 MB]

            -This the derivation of the binomial series.  This was hugely important to the development of the calculus.  If you want to give it a shot.  Go for it.  Read it over and try to figure out how it all fits together.

 

Park, David Allen. The How and the Why : An Essay on the Origins and Development of Physical Theory. Princeton, N.J.: Princeton University Press, 1988.

            ParkAppendices.pdf [756 KB]

            The appendices of this book have some more Newtonian derivations.  Included in this PDF are: NewtonÕs Theorem concerning linear comparison to circular motion; NewtonÕs calculation of the period of the moon; KeplerÕs 1st and 2nd laws using algebra.  These go well with the Cohen ŌSupplementsĶ mentioned above.

 

Smith, David Eugene. A Source Book in Mathematics. 1st ed. Source Books in the History of the Sciences. New York: McGraw-Hill Book Company, inc., 1929.

            NewtonFluxionIntegration_Smith_Sourcebook.pdf [2.3 MB]

            - This is Newton inventing the calculus.  What this PDF lacks in image quality it makes up in opacity.  This is only for the mathematically courageous.  I will probably go over some of this in class if there is time.


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