"Discrete Mathematical Structures" written by Bernard Kolman is a fantastic resource for anyone looking to gain a firm understanding of the fundamental principles and applications of discrete mathematics. Covering a wide range of topics such as sets, relations, functions, logic, and graph theory, this book is suitable for beginners and intermediate learners alike.
One of the standout features of this book is its ability to present complex mathematical ideas in a clear and concise manner. Kolman's explanations are straightforward, making it easier for readers to grasp the concepts. Additionally, the inclusion of examples and exercises throughout the book helps reinforce understanding and allows readers to apply the concepts they have learned.
The book offers a comprehensive coverage of the subject matter, striking a balance between theory and practical applications. Real-world examples are included to help readers see the relevance of the concepts and their applications in various fields.
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The organization of the book is another strong point. The chapters are logically sequenced, providing a smooth learning progression, with each chapter building upon the previous ones. Furthermore, the inclusion of chapter summaries and review questions at the end of each chapter allows readers to reinforce their understanding and test their knowledge.
One of the most valuable aspects of this book is the abundance of exercises provided. The exercises cater to different difficulty levels, making them suitable for both self-study and additional practice for students. Moreover, solutions to selected exercises are included at the end of the book, enabling readers to check their work and receive feedback on their progress.
What are readers saying?
Bernard Kolman's book, Discrete Mathematical Structures, is highly regarded by readers for its comprehensive coverage of the subject matter and its clarity of explanations. Reviewers appreciate the thoroughness with which the book covers a wide range of topics in discrete mathematics, such as sets, relations, logic, counting, graphs, and trees. The concise and organized manner in which the material is presented is particularly praised, as it allows readers to easily understand complex concepts.
One of the key strengths identified by reviewers is the book's clarity of explanations. The language used and the examples provided are straightforward and accessible, making it easier for readers to grasp the material. Diagrams and illustrations are also included, further enhancing the book's teaching effectiveness. Additionally, the exercises provided throughout the chapters are valuable for reinforcing learning and applying the concepts covered.
Reviewers also find the book to be a useful reference tool. Its indexing and organization allow readers to quickly find the information they need, whether it is for exam preparation, research, or solving specific mathematical problems. The inclusion of numerous examples and practice problems further contributes to its practicality.
While the majority of reviews are positive, some readers have raised minor criticisms. Some feel that certain concepts could be explained in more detail, while others suggest the inclusion of additional exercises. However, these criticisms do not significantly detract from the overall positive reception of the book.
In conclusion, Bernard Kolman's Discrete Mathematical Structures is highly recommended by reviewers for its comprehensive coverage, clarity of explanations, and usefulness as a reference. The book's concise presentation, helpful examples, and extensive exercises make it an invaluable resource for students and professionals studying or working in the field of discrete mathematics.
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