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## Saturday, August 19, 2023

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## Concrete Mathematics by Concrete Mathematics Book Details

 Book Name Concrete Mathematics Author Ronald L. Graham , Donald E. Knuth , Oren Patashnik Category Civil Engineering Books, Education Books Book Language English Publisher Addison-Wesley Publishing Pages 640 Country India Book Size 18 MB

## About Concrete Mathematics by Concrete Mathematics Book

Concrete Mathematics: A Foundation for Computer Science is a book written by Ronald L. Graham, Donald E. Knuth, and Oren Patashnik. The book is known for its rigorous and comprehensive approach to mathematical concepts that are of particular importance in computer science and related fields. It was first published in 1989 and has become a classic reference in the world of computer science and mathematics.

The term "concrete mathematics" was coined by the authors to describe a blend of continuous mathematics (dealing with real numbers and continuous functions) and discrete mathematics (concerned with integers and discrete structures). The book aims to bridge the gap between these two areas of mathematics and provide a foundation for understanding mathematical concepts relevant to computer science.

Key features of "Concrete Mathematics" include:

1. Focus on Fundamentals: The book covers fundamental mathematical concepts, such as recurrence relations, summation techniques, generating functions, and number theory, which are essential for computer science and algorithm analysis.

2. Problem-Solving Emphasis: "Concrete Mathematics" places a strong emphasis on problem-solving and the development of problem-solving skills. It provides numerous examples and exercises to help readers apply the concepts to real-world problems.

3. Rigorous Approach: The book is known for its mathematical rigor. It presents proofs and derivations in a detailed and systematic manner, helping readers develop a deep understanding of the material.

4. Insights for Algorithm Analysis: The book provides insights into the analysis of algorithms, helping computer scientists and programmers understand the efficiency and performance of algorithms through mathematical analysis.

5. Intuitive Explanations: Despite its rigor, the authors also provide intuitive explanations and insights that make the material accessible to a wide range of readers, from beginners to advanced mathematicians and computer scientists.

6. Influence: "Concrete Mathematics" has had a significant influence on computer science education and research. It has been used as a textbook in various computer science courses and is often recommended for students and professionals looking to strengthen their mathematical foundation.

7. Cross-Disciplinary Relevance: While the book is primarily aimed at computer scientists and mathematicians, its concepts and techniques have relevance in other disciplines as well, including engineering, physics, and economics.

"Concrete Mathematics" is considered a classic in the field of computer science and mathematics literature. It serves as a valuable resource for those looking to develop a deeper understanding of mathematical concepts relevant to computer science, algorithm analysis, and problem-solving.

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