First edition (Williams, Madan, and Green 182). With six illustrations by Arthur B. Frost, a preface, and a large appendix. Originally published "as a serial in 'The Monthly Packet', beginning in April, 1880". The preface, written by Carroll, states that his "intention was to embody in each Knot...one or more mathematical questions--in Arithmetic, Algebra, or Geometry..." The large appendix contains answers to the mathematical problems posed in each knot. At the end is a list of other works by Carroll. Spine ends bumped, slight rubbing on corners and spine ends, some soiling, spotting on spine. Inside hinges cracked, some pencil inscriptions on endpapers