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Writer's pictureIstvan Benedek

Discrete Mathematics and Graph Theory

Updated: Feb 18



Discrete Mathematics and Graph Theory: A Concise Study Companion and Guide (link) by Dr. Kayhan Erciyes, a distinguished Professor in the Department of Computer Engineering at Üsküdar University, Istanbul, Turkey, stands out as an essential resource for students, educators, and professionals keen on delving into the core aspects of discrete mathematics and graph theory. This comprehensive guide intricately weaves together foundational and advanced topics, such as

Mathematical Logic,

Algorithms,

Set Theory,

Relations and Functions,

Number Theory,

Cryptography,

Induction and Recursion,

Boolean Algebra,

Counting and Discrete Probability,

Graph Theory,

Trees and Distance,

Matrix Theory, and more, presenting them in a manner that is both accessible and deeply informative.


Dr. Erciyes, is known for his contributions to the field through other notable publications with Springer, including "Distributed Real-Time Systems," "Guide to Graph Algorithms," "Distributed and Sequential Algorithms for Bioinformatics," and "Distributed Graph Algorithms for Computer Networks," brings a wealth of knowledge and pedagogical expertise to this book. His clear explanations and practical insights make complex concepts approachable, ensuring readers understand and apply theoretical underpinnings in real-world scenarios. Whether you're a student seeking to solidify your understanding, an educator looking for a reliable teaching companion, or a professional aiming to enhance your skill set, this book is an invaluable asset that will support your journey in the fascinating world of discrete mathematics and graph theory.


In my personal experience with the book, I was thoroughly impressed by its well-structured content and exceptional editing. Each chapter meticulously unfolds complex topics with clarity and precision, making it a seamless read. The book's organisation facilitates an easy transition from fundamental concepts to more intricate theories, catering to readers at various levels of expertise. Moreover, the editing quality ensures the material is accurate and engaging, enhancing the learning experience. Perhaps only the Algorithms chapter, due to its length, could not provide a comprehensive overview of algorithm theory.


Dr. Erciyes has accomplished a remarkable feat in creating a resource that is as informative as it is accessible. This book is not just a read; it's a journey through the captivating realms of discrete mathematics and graph theory, expertly guided by a leader in the field. I wholeheartedly recommend it to anyone with a keen interest in these subjects.



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