Discrete Mathematics Book I Used for Self Study

TL;DR

"A comprehensive textbook on discrete mathematics, covering various topics and providing solutions to most exercises."

Transcript

hi everyone in this video we're going to talk about a really nice book it's called discrete and combinatorial mathematics and applied introduction and it's written by Ralph Pierre amaldi this is a pretty solid textbook I have spent quite a bit of time reading through several of the sections in this book it's a really good book on discrete mathemati... Read More

Key Insights

• 🏑 "Discrete and Combinatorial Mathematics" by Ralph P. Grimaldi is a highly regarded textbook in the field of discrete mathematics.
• 📔 The book covers a wide range of topics, including counting, logic, set theory, induction, relations, functions, finite state machines, graph theory, optimization, and more.
• 🏃 A notable feature of this book is the extensive collection of exercises, with solutions provided for most odd-numbered problems, including proofs.
• 🛀 The author emphasizes the importance of careful reading, note-taking, and independent problem-solving for optimal learning.
• 🤳 The book is suitable for self-study and can be used as a supplemental resource for a discrete mathematics course.
• 🏃 It is recommended to attempt the exercises before referring to the solutions provided by the author.
• ⌛ The readability of the book is decent, but readers are advised to invest time and effort in understanding the examples and concepts.

Questions & Answers

Q: What makes "Discrete and Combinatorial Mathematics" different from other textbooks on discrete math?

Unlike most other books, this textbook starts with counting instead of logic, providing a unique approach to the subject. It then covers essential topics such as set theory and induction.

Q: How is the readability of this book, and what approach should readers take while studying it?

The readability of this book is decent, but readers are advised to read it carefully and slowly, taking notes and ensuring a thorough understanding of the examples provided. It is recommended to attempt the proofs independently before referring to the author's solutions for guidance.

Q: What is the highlight of this textbook?

The standout feature of this book is the plethora of exercises it offers, with solutions provided for most odd-numbered problems, including full or partial proofs. This makes it an excellent resource for self-study.

Q: Can this textbook be used as a supplemental resource for a course on discrete mathematics?

Absolutely, many students use this book to supplement their main course textbook. Its broad coverage and detailed exercise solutions make it a valuable companion for understanding the subject.

Summary & Key Takeaways

• The book "Discrete and Combinatorial Mathematics" by Ralph P. Grimaldi is a well-regarded textbook on discrete mathematics.

• It covers topics such as counting, logic, set theory, induction, relations, functions, finite state machines, graph theory, optimization, matching, and more.

• The book stands out for its extensive collection of exercises with solutions, making it suitable for self-study.