
MAT 311  Information about Project 1

Project 1 should be handed in by 03/06. Please select one of the topics
listed below. You need to make your selection and also inform me of it by
2/20. All programming projects and Computing and Programming Exercises (CPE) are taken from the 4th edition of Rosen's textbook.
 A proof that the rational and algebraic numbers are countable and
that the irrationals and transcendental numbers are not.
 A short (2 to 4 typed pages) biography of a prominent number theorist.
 A proof of unique factorization in Z+Z[i] (where i is
the imaginary unit).
 Programming project 1.3.1
 CPE 3.1.16
 Programming project 3.3.5.
 CPE 3.4.2
 CPE 4.4.2
 Programming project 4.5.1.
 Programming project 4.6.1.
 Programming project 5.1.2.
For any of the programming projects, please email me
at sorin@math.sunysb.edu the program
source code (in readable form  indented and commented), and hand in the program outline
and a reasonable amount of program output. You can use any programming language
you like (within reasonable limits  i.e., a language for which there exist easily
available compilers). Preferred ones are Maple,
Mathematica (yes, they are programming languages), C,
OCAML and Java, but you can also use C++, Pascal,
Python, Fortran, Lisp, Turing machine...
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