The Selberg Trace Formula for PSL(2R) by Dennis A. Hejhal

By Dennis A. Hejhal

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I’ve spoken to female engineering students who told me of professors who announced women would not get good grades in their classes, and Julia Robinson told me that she accepted the honour of being the first woman president of the American Mathematical Society, despite her disinclination to taking the position, because she felt she owed it to other women in mathematics. Several books take the struggle to compete in a man’s world as their main theme. Some of these follow. J. Mozans, Women in Science, with an Introductory Chapter on Woman’s Long Struggle for Things of the Mind, MIT Press, Cambridge (Mass), 1974.

Finally, the an❩C✓ ✓ ✓ ❩ ✓ gles between these corresponding sides ✓ I✓ ✓❩❩ ❩ are each the sum of a right angle ✓ ✓ ❩ ❩ ❩✓ ❩✓ and ∠CAB; thus they are also equal. A B K Now we are just about finished because ADJK has area double that of CAD, which is double that of IAB, which is the area of ACHI. In a similar manJ D E ner one sees KJEB to equal CBF G, Figure 1 whence the area of ADEB is the sum of CBF G and ACHI. Euclid’s proof is nice in that it does show how the areas of the small squares fit into the large square— but less complicated proofs do the same, albeit without such simple regions.

Bucciarelli and Nancy Dworsky, Sophie Germain; An Essay in the History of the Theory of Elasticity, D. Reidel Publishing Company, Dordrecht, 1980. This is an excellent account of the strengths and weaknesses of a talented mathematician who lacked the formal education of her contemporaries. Sofya Kovalevskaya, A Russian Childhood, Springer-Verlag, New York, 1978. Pelageya Kochina, Love and Mathematics: Sofya Kovalevskaya, Mir Publishers, Moscow, 1985. ) Ann Hibler Koblitz, A Convergence of Lives; Sofia Kovalevskaia: Scientist, Writer, Revolutionary, Birkh¨ auser, Boston, 1983.

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