This blog post provides a comprehensive review of the book "How to Prove It" by Daniel Velleman, discussing its structured approach to mathematical proofs and the author's personal experience studying the material. It highlights the book's strengths, such as its depth, rigorous treatment of topics like relations and functions, and its valuable exercises. It also notes some stylistic issues in Velleman's writing, particularly the omission of justifications in proofs, which can confuse beginners. Ultimately, it's recommended as a foundational text for learning proof writing, especially for math majors transitioning to higher mathematics.