This Study Guide has been teaching students how to write & do proofs for over 30 years. This text provides an excellent approach for teaching students how to read, understand, and do proofs. The various examples and techniques explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique based on the form of the problem. The goal is to enable students to learn advanced mathematics on their own. This book is suitable as: (1) a text for a transition-to-advanced-math course, (2) a supplement to any mathematics course, and (3) self-guided teaching.