Course Identification

First-year courses of the Rothschild-Weizmann program in mathematics.

The course is built as a support seminar for the second year RW mathematics students working on their final project. In the framework of the course, each student will present at least 3-4 time his or her final project at different stages of work, from preliminary ideas, though intermediate stages, the work outline, etc., until a student is prepared to present the more-or-less final version of the work presentation. The students will receive recommendations on mathematical writing.

In addition, the students will perform assignments aimed at their exposure to some classic and modern cornerstone books in mathematics  listed in the reading list.

Upon successful completion of this course students should be able to:

1. Write their project in Mathematics Instruction in a proficient and a coherent form.

Mathematical writing:

1. Some Notes on Writing Mathematics https://sites.math.washington.edu/~lee/Courses/583-2005/writing.pdf
2. Su F. E. Guidelines for Good Mathematical Writing  https://www.math.hmc.edu/~su/math131/good-math-writing.pdf . 

Books:

1. Davis P. J., Hersh R. Mathematical Experience
2. Hardy G. H., A Mathematician's Apology
3. Courant R. & Robbins H., What is Mathematics?
4. Klein F. Elementary Mathematics form a Higher Standpoint (vols. I-III, chapters subject to the lecturer's recommendation)
5. Polya G. Mathematics and Plausible Reasoning
6. Polya G. Mathematical Discovery
7. Artstein Z. Mathematics and the Real World
8. Manin Yu. Mathematics and Physics
9. Bertsch McGrayne Sh. The Theory that Would Not Die
10. Singh S. Fermat's Last Theorem
11. Singh S. The Code Book
12. Hadamard J. The Psychology of Invention in the Mathematical Field
13. Borovik A. V.  Shadows of the Truth: Metamathematics of Elementary Mathematics
14. Gamow G. One two three ... infinity. Facts & Speculations of Science