Recommended Exercises:
Section (pages): #s
1.1 (7-10): 3, 5, 7, 11, 13, 15, 17, 19, 23, 25abc, 27, 29
1.2 (15-7): 1, 4, 5!, 6, 7, 8, 13, 15
1.3 (24-5): 1, 3, 5, 7, 9, 14*,15, 17, 19, 27
2.1 (39-41): 1c, 5c, 11c, 13, 16, 19, 20, 27, 32, 33, 38!, 39, 42
2.2 (47-50): 2, 3, 5, 8, 12, 13, 21, 29, 30*, 33
2.3 (60-8): 3, 6, 13, 20, 21, 32*
2.4 (75-7): 1, 2, 5, 6, 7, 14, 15, 22, 25!, 26, 27*, 32
2.6 (99-101): 1, 2, 4, 6, 10, 14, 17!, 18!, 19, 21, 23?, 25, 26, 32
2.7 (109-11): Read the intro paragraphs on page 109, then do the following problems with the help of a computer (excel, matlab, java, etc): 2, 4, 11, 13, 20&21?
If you're familiar with matlab, here is an m-file courtesy of my homie Patrick Rinker.
For excel users, here are some files: euler 1 and euler 2
2.8 (118-20): 1, 7, 10, 13, 15&16&17&18?, 19?
3.1 (144-5): 1 -- 8 all, 9 --16 all (use Wolfram|Alpha to look at the graph of a couple, but don't worry about sketching them all), 28
3.2 (155-6): 1, 3, 7, 9, 10, 12, 14, 16, 17, 25, 27, 31, 32, 37, 42!, 45
3.3 (163-5): 1, 3!!, 5, 8, 12, 14, 18, 19, 20, 23, 25ab, 27!, 29&30&31?, 33?, 35, 41
3.4 (171-4): 1-10, 11-14, 18, 22, 23, 24, 28, 34&41
3.5 (183-4): 1, 6,12, 14, 17, 19a|b, 21 a|b, 25 a|b,26a|b (Use Wolfram|Alpha for part b of all these)
3.6 (189): 1-4, 5, 7, 9, 11, 13-20
4.1 ():
4.2 ():
4.3 ():
4.4 ():
5.1 (249): 1, 2, 4, 7, 8, 10, 12, 14, 15, 16, 17, 21
5.2 (259-61): 1, 2, 3, 4, 21, 2 & 15 & 23
5.3 (265-7): 1, 2, 5, 7, 8, 10!, 11, 12
5.4 (276-8): 1-15 odd, 17, 18
6.1 (311-2): 1, 2, 3, 5, 7, 9, 11, 12, 15, 16, 19, 21, 26!, 27?
6.2 (320-3): 1, 2, 7, 9, 11, 14, 15, 19, 21, 23, 28?, 29, 30, 37
6.3 (328-9): 1, 4, 12, 13, 15, 16, 20, 21
6.4 (336): 1-5a, 9a, 13a
6.5 (343): 1-5a, 7a, 12a
6.6 (350-1): 1, 2, 3, 5, 6, 9, 10, 13, 14, 17
Key :
* : problem is particularly interesting, either for physical or mathematical reasons. It is not clear, however, if it is worth doing.
& : problems are related and should be considered as one.
! : problem is particularly worth doing.
? : problem may or may not be worth doing, but definitely note the result.