### 511 Recommended Exercises

Abbreviations and special notation used in denoting certain exercises:
!
especially important to do
?
not clear if worth doing
NB
note well the result  obtained; no comment on worth doing
--
linked: regard as parts of one exercise (NOTE: 5--7 means 5 and 7 are linked, and says nothing about 6.)
[Chapter.Section #exercises.]
• 1.1 #1.(c), 2."(c)", 3.(a) and (d), 4."(a)" and "(d)", 5.(b) and (d), 6, 7, 8, 9, 10, 11.
• 1.2 #1, 2, 3.(a,d,e), 4, 5, 7, 8, 9, 10, 13, 14, 17.
• 1.3 #1, 2, 3, 9--10, 11, 12, 14, 15.
• 1.4 #3, 4, 5, 7, 8, 9, 10, 11, ?12, 15, 16, ?17, NB18, NB22, 23, NB24, 25, 28, 29, {34,35,36} as modified.
• 1.5 #1, 2, 3, 5, 7, 9, 10, 12, ?13, 15, 16, 17, 18, 19, 20, 21, 22, ?23, ?NB{24,25,26}, {29,30,31,32} as modified.
• 1.6 #2, 4, 7, 9, 11, 12, 13, 14, ?15, NB19, 20, 21.

• 2.1 #2, 3, 4, 5, 6, 9, ?10, 11.
• 2.2 #1, 2, ?3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14.

• 3.1 #NB3, NB4, NB5, 6 through 16.
• 3.2 # ALL!
• 3.3 #1.(a),(c), 2.(a),(d), 4.(b), !5, 8.(a), 9.(a), !12, !13, !14, !15, !16, NB17, !19, 20.
• 3.4 #1, 2, !3, !4, 6, 7, !9, 11, 12, !13, 16, 17, 18.
• 3.5 #!1, !3, !6, !7, !8, 9, !11.
• 3.6 #!1, !2.(c), !3, 4, !6, !8, 9, 10, NB11, , !12, 13, 15.(a), 16, 18, 19, 20, NB21, !22, !24, !25, 26, !27, 28, NB36.

• 4.1 #!1, !2, !3, !4, 5, 6, 7, 8, 9, 10, 11, NB12, 13 !14, !15, !16, 17, !19, !20, !21, 22, 24, 25.
• 4.2 #!1, !2, !3, !5, !6, !7, !13, !14, 15, 16, !17, !18, 19.
• 4.3 #!1, 2, !3, !4, !5, 6, !7, 8, 9--10, !11, 12, !13, 14, 15.

• 5.1 #1.(a,c), 2.(a,c), 3.(a,c), !4, 8, 9, !12, !13, NB!14, NB16, 18.
• 5.2 #1.(a,c), 2, 4, 5, !6, !7, 8, !9, 11, !12, 13, !14, !15, 16, 17.
• 5.3 #9, 10, 11.(a,c) ?(b), ?12, ?13.
• 5.4 #3, 4, 8.(a), 9, 10 or 11, 16, 17, 21--22 {for p ?}, !23, !24, 25, 25, !27, 28, !29, !30, 33.
• 5.5 #1, 2.(a), 3, 4.(a), !6, 11, 12, !14, !15, 16, 21.(a), 22.(a), !23, 24, 25, 29.(a,b), 30.(a,b), 33, 34.
• 5.6 #!1, !3, 4, !7, !8, 12, 14, 15.

• 6.1 #1.(a,j,l), !2, !3, !4, !6, !8, !9, !12, !14, !16, !17 !18, !19, !21, !22, !24, 25, 26, 28, 29, 30, 31, NB32, NB33.
• 6.3 #!1.(a,e), 2.(a,e), 3.(a,e), 4.(b), !6, 8.(a,c), !9, !12, !13, !14, 15, !17, !18, 19, 20, !28, !29, !31, 32, 33.
• 6.4 #1, 2, !4 Hermitian only, !5.(a,c,e), 6, NB9, 11, 12, 13, !15.(b,c), !16, !17, 26.
• 6.6 #!1, ?2, ?3, !4, 5, 6, !8, !9, !12, !13, 14.

Plus all "implicit exercises" such as those parts of proofs and examples "left to the reader."