Ash (1998) includes the following areas in his definition of abstract algebra: logic and foundations, counting, elementary number theory, informal set theory, linear algebra, and the theory of linear operators.
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If you've never seen Yosemite before, 3 days is what I recommend if the Spring. 4 days if the fall (the reason for the extra day in the Fall is the fact that you can now drive up to Toulumne Meadows.) Day One: Arrive at Park; do the circle loop; walk to the 2 closest falls; have dinner.