I Wish They'd Taught Me That

*I Wish They'd Taught Me That: Overlooked and Omitted Topics in Mathematics*, 1st Edition, is an academic textbook designed to present undergraduate mathematics students with essential subjects often left out of standard degree programs. Authors Robin Pemantle and Julian Joseph Gould focus on specialized branches of study, offering clear entry points into important concepts that fall outside traditional course sequences.

The text organizes its material into standalone chapters dedicated to topics outside the mainstream curriculum. Primary thematic arcs include fundamental properties of irrationality, combinatorial methods using generating functions, and algebraic solutions for polynomial systems. Further chapters develop set-theoretic techniques through transfinite induction, geometric principles seen in scissors congruence, and non-Euclidean concepts like fractional dimension.

Each chapter features a nontechnical introduction followed by visual diagrams and detailed examples designed to assist learner comprehension. This format provides undergraduate mathematics students with a structured framework for exploring mathematical topics that rarely receive dedicated attention in standard university classrooms.