The brim takes the most time, and, quite frankly, it's not all that tough. From there, it's just stockingette stitch with a few decreases here and there. It's also a hat that would work equally well for a man (although, not in pink, like here). I would, however, cast on 4 to 8 stitches more.
The Brim is made from a lovely reversible pattern that you can see above, and the reverse side below. The reverse almost looks like a cable, but it is just a series of knit and perl stitches.
I used a recycled dehaired angora coupled with Lion Brand cotton to create a chunky yarn. Other appropriate selections would be Extra Fine Merino Chunky by Jaeger or Newport by Classic Elite.
Gauge: 16 stitches/4 inches
Yarn: Heavy Worsted Weight
One Skein ought to do it
Needle size: one 10-1/2 circular or 4 10-1/2 dpns
ybk = yarn to back
Cast on 88 stitches.
Brim:
Rows 1, 3, and 5: P
Row 2: *P2 tog but leave stitches on LHN, ybk, Ktog same 2 stitches, rep from* to end
Row 4: P, *P2 tog but leave sitiches on LHN, ybk, Ktog same 2 stitches, rep from * to last stitch, P
Continue rows 1 - 5 for 3 inches.
Place stitch marker at beginning for rows.
Next row: *P7, P2 tog, rep from * to end
Remaining rows: P
Continue in this manner for 7 inches
Crown decrease:
Row 1: *P6, P2 tog, rep from* to end
Row 2: P
Row 3: *P5, P2 tog, rep from* to end
Row 4: P
Continue in this manner until 6 - 8 stitches remain. Run yarn through remaining stitches, ties off, and using tapestry needle, weave tail into knitting.
Viola! You are done
Note: When knitting the decrease rows, you may find a few extra stitches at the end of the row. Perl these, then continue with pattern.
Hope you enjoy the pattern, let me know if you have problems, and have fun!