mat330: Abstract Algebra
This is a course in abstract algebra, which has many modern applications, from quantum physics to code-breaking to MC Escher's tesselations. Building on the algebra that you are familiar with, we begin our study of abstract algebra with the question: What properties do the integers have? We know how to add and subtract two integers; we know that the sum of two integers is always another integer; we know that x+0 = x and x+y = y+x for any two integers x and y. But there are other collections, or groups, of objects with these same fundamental properties --- for example, the set of real numbers, the symmetries of a square, or the possible seating arrangements at a reception. In mat330, we will cover chapters 0-11 in the text as we investigate the behavior of such groups.
text:
Contemporary Abstract Algebra, 6th ed.
by Joe Gallian, ISBN: 0-618-51471-6
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