Mathematics: A Discrete Introduction

Rating:
Summary: Simplistic explanation for complex material
Review: This book explains, with simple examples complex material. He includes proof templates, that are helpful in the understanding of the material.

Rating:
Summary: Wonderful book!
Review: This book is very clear. It explains most of the fundamentals of discrete mathematics, including logic, combinatorics, graph theory, probability, number theory, cryptography, and more. Things are clearly explained, and students are taught the basics of proof writing. Proof templates give the reader a skeleton for different proofs (such as direct, contradiction, induction, contrapositive, etc.). A great book!

Rating:
Summary: This book is sabotage for university students
Review: This book was a required textbook for a discrete mathematics course I am taking in school. Be warned, this book is terrible and is filled with logic holes and gaps!

There are COUNTLESS times in the book where there will be a large proof about a major concept that will take you hours to wrap your head around, only to discover that afterwards it tells you that it is incorrect and suggests that you try to figure it out for yourself!!

From page 372, following a large proof: "Nice proof, huh? Not really. The above proof is incorrect! What went wrong? Try to figure out the difficulty for yourself."

From page 464, following a proof: "Read this proof carefully. When you spot the error, you will know how to answer this problem." A smiley face follows.

Professors, suggest this book to your students if you wish to sabotage their academic careers.