If the chart is written for knitting in the round you knit it as written, reading all rows of the chart from right to left (in flat knitting, where all rows are charted, both public and reverse, you read the public rows from right to left and the reverse rows from left to right, interpreting the symbols according to the pattern notes). While I haven't taken the plunge on this book yet, it's a fair bet that the charts are written for knitting in the round, so read them as charted from right to left.
You would transpose your stitches only if you were using a chart intended for flat knitting in a piece knit in the round for those rows intended to be reverse side rows.
Yes, pardon me, I hate the terms right and wrong side. I use public and reverse, why you ask? I have seen a poorly written pattern where the instruction read, "...on the right side of the right side of the right side....". If that isn't confusing and unclear I don't know what is.