Mathematical Masterpieces: Teaching with Original Sources
@inproceedings{Laubenbacher1996MathematicalMT, title={Mathematical Masterpieces: Teaching with Original Sources}, author={Reinhard C. Laubenbacher and David J. Pengelley and Ronald Calinger}, year={1996} }
Our upper-level university honors course, entitled Great Theorems: The Art of Mathematics, views mathematics as art and examines selected mathematical masterpieces from antiquity to the present. Following a common practice in the humanities, for example in Chicago’s Great Books program and St. John’s College curriculum, we have students read original texts without any modern writer or instructor as intermediary or interpreter. As with any unmediated learning experience, a special excitement…
19 Citations
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References
SHOWING 1-10 OF 31 REFERENCES
The Works of Archimedes
- HistoryNature
- 1898
THIS is a companion volume to Dr. T. L. Heath's valuable edition of the “Treatise on Conic Sections” by Apollonius of Perga, and the same patience, learning and skill which have turned the latter…
A Source Book in Mathematics
- EducationNature
- 1930
THIS is a very entertaining volume, a surprisingly successful attempt to do what nearly all good judges would have declared to be impossible. Its aim is “to present the most significant passages from…
A Source Book in Mathematics, 1200-1800
- Education
- 1969
These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus.Originally published in 1986.The Princeton Legacy…
Who Gave You the Epsilon?: Eisenstein's Misunderstood Geometric Proof of the Quadratic Reciprocity Theorem
- Mathematics
- 1994
The quadratic reciprocity theorem has played a central role in the development of number theory, and formed the first deep law governing prime numbers. Its numerous proofs from many distinct points…
On numbers and games
- MathematicsProceedings of the IEEE
- 1978
The motivation for ONAG may have been, and perhaps was-and I would like to think that it was-the attempt to bridge the theory gap between nim-like and chess-like games.
THE ELEMENTS
- Geology, Physics
- 1998
One of the most striking facts about the elements is their unequal distribution and occurrence in nature. Present knowledge of the chemical composition of the universe, obtained from the study of the…
Gauss, eisenstein, and the “third” proof of the quadratic reciprocity theorem:ein kleines schauspiel
- Mathematics
- 1994