Problems and Exercises in Discrete Mathematics - Thorough Problem

Our review of Problems and Exercises in Discrete Mathematics finds it a dense, practice-focused text aimed squarely at students who need a large bank of meaningful exercises. Built from many years of teaching experience, the two-volume structure gives both theory and worked hints, making it especially useful for undergraduates learning fundamentals and for postgraduates seeking challenging problems. The single biggest reason to buy is the blend of concise theoretical background followed by carefully graded exercises and solutions that support independent study and exam preparation.

Key Features

• Comprehensive problem sets: Part I presents exercises across Boolean algebra, k-valued logics, graphs and networks, coding theory, automata and algorithms, providing a wide practice base.
• Theory before practice: Each exercise group is introduced with ample theoretical background so readers can approach problems with necessary concepts refreshed.
• Two-part format with solutions: Part II mirrors Part I and supplies helpful hints and full solutions, which supports self-study and verification.
• Advanced challenge material: About one-third of the exercises are more difficult, offering stretch problems suitable for postgraduate study and research preparation.
• Extensive bibliography: References for further study guide readers who want to deepen knowledge beyond the exercises and classroom scope.

Who It's For

This book is best suited to undergraduate students of discrete mathematics who need structured practice alongside concise theory, particularly those preparing for course exams or building problem-solving skills in combinatorics, logic, and algorithms. The worked hints and solutions in Part II make it a strong choice for independent learners who benefit from checking methods as they go.

Postgraduates and researchers will find value in the harder exercises and the bibliographic pointers, but readers seeking a broad textbook treatment with extensive narrative exposition or a beginner-level gentle introduction should look elsewhere.

Pros & Cons

Pros

• Rich and varied exercise collection covering core discrete topics for sustained practice.
• Helpful theoretical summaries before problem sets that reinforce essential concepts.
• Included solutions and hints in Part II that enable effective self-study and error correction.

Cons

• Not a lightweight introduction; beginners with no prior exposure to mathematics courses may find it terse.

Specifications

Our Verdict

Problems and Exercises in Discrete Mathematics is a practical, well organized problem book that rewards disciplined students and self-learners. Its two-part design with theoretical notes followed by worked solutions makes it good value for undergraduates and useful as a source of tougher problems for postgraduates; those seeking a gentle, tutorial introduction should pair it with a more expository text.

Frequently Asked Questions

Does this book include solutions?
Yes; Part II follows Part I and provides helpful hints and solutions to the exercises.

Is it suitable for beginners?
It suits undergraduates with some mathematical background but is relatively terse, so total beginners may need an introductory companion text.

What topics are covered?
The book covers Boolean algebra, k-valued logics, graphs and networks, coding theory, automata, algorithms theory, and combinatorics.