Some useful links
Scans of the Ramanujan Notebooks (for browsing only) Book 1 Book
2 Book 3
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Class
plan:
Continually updated |
Final project announcement |
Some
new links added. Old links are still in place. Sp14 page link FYI |
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Possibly useful for projects History talks on bbc (Sautoy) link |
First project announcement Useful resource: |
Other useful
resources |
Aryabhata division algorithm |
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Interesting
Theorems |
Brahmagupta-Bhaskara
Thm. (Pell’s equation) |
Useful files for projects |
Ramanujan’s proof of the
Bertrand postulate |
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Bhaskara_infinity
pdf Bhaskara_infinity
pp |
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Explanatory
note on the same |
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1.
First
homework is due on 1/29. Find it here.
2.
The file of Brouncker-Wallis algorithm
being discussed in class.
3.
The
source book for continued fractions
by C. D. Olds
4.
Diaphantos (and Greek Mathematics
history) by T. L. Heath
5.
Calculus in India by Ramasubramanian and
Srinivasan (extract)
6.
Solving the Pell equation by Lenstra
7.
An article on some interesting continued fractions by
Sury
8.
Some problems leading to Brahmagupta-Bhaskara
(Pell) equation.
9.
Ball’s History of Mathematics (from 1898) Its
Table of contents is extracted here for
easy lookup.
10. Comparison
of Chakravala with continued fractions (Selenius’ paper)
11. Remember that take-home quiz is due on
3/9 (problems from Aryabhata algorithm).
12. An
interesting link about calculation of π. Another
link about Ramanujan’s work on π.
13. Files on theory of equations. File 1, File 2, File 3, File 4, File 5
14. On Abel’s theorem that a quantic is not
solvable by radicals.
15. Viete’s
Formula (wiki), Nested
radicals (wiki)
16. House number problem (Ramanujan)