Cornell University

Fall 1999

Various topics from number theory and modern algebra, usually including most of the following: Primes and factorization, Diophantine equations, congruences, quadratic reciprocity, continued fractions, rings and fields, finite groups, introduction to arithmetic of the Gaussian integers and quadratic fields. Motivation and examples for the concepts of abstract algebra are derived primarily from number theory and geometry.

**Instructor:** Birgit Speh (speh@math.cornell.edu).

435 Malott Hall, Cornell University, Ithaca, New York.

Office Hours: Thursdays from 2:30 to 3:30pm, in 435 Malott Hall.

**Teaching Assistant:** Lek-Heng Lim (lekheng@math.cornell.edu).

101 Malott Hall, Cornell University, Ithaca, New York.

Office hours: Fridays from 12:30 to 1:30pm, in 218 Malott Hall.

- Homework 1 (PDF).

- Homework 2 (PDF).

- Homework 3 (PDF).

- Homework 4 (PDF).

- Homework 5 (PDF).

- Homework 6 (PDF).

- Homework 7 (PDF).

- Homework 8 (PDF).

- Homework 9 (PDF).

- Homework 10 (PDF).

- Homework 11 (PDF).

- Homework 12 (PDF).

- Prelim 1 (PDF).

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Readers for both formats are available for several operating systems and platforms. You can learn more about Postscript here. PDF stands for "Portable Document Format" and it has been developed by Adobe. You can get free readers from their website.

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