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Logic functions and equations are (some of) the most important concepts of Computer Science with many applications such as Binary Arithmetics, Coding, Complexity, Logic Design, Programming, Computer Architecture and Artificial Intelligence. They are very often studied in a minimum way prior to or together with their respective applications. Based on our long-time teaching experience, a comprehensive presentation of these concepts is given, especially emphasising a thorough understanding as well as numerical and computer-based solution methods. Any applications and examples from all the respective areas are given that can be dealt with in a unified way. They offer a broad understanding of the recent developments in Computer Science and are directly applicable in professional life.
Logic Functions and Equations is highly recommended for a one- or two-semester course in many Computer Science or computer Science-oriented programmes. It allows students an easy high-level access to these methods and enables sophisticated applications in many different areas. It elegantly bridges the gap between Mathematics and the required theoretical foundations of Computer Science.
List of contents
I. Theoretical Foundations.- 1. Basic Algebraic Structures.- 2. Logic Functions.- 4. Boolean Differential Calculus.- 5. The Solution of Logic Equations.- II. Applications.- 6. Logics and Arithmetics.- 7. Combinational Circuits.- 8. Finite-State Machines.- III. Tools.- 9. Xboole.
Summary
Logic functions and equations are (some of) the most important concepts of Computer Science with many applications such as Binary Arithmetics, Coding, Complexity, Logic Design, Programming, Computer Architecture and Artificial Intelligence. They are very often studied in a minimum way prior to or together with their respective applications. Based on our long-time teaching experience, a comprehensive presentation of these concepts is given, especially emphasising a thorough understanding as well as numerical and computer-based solution methods. Any applications and examples from all the respective areas are given that can be dealt with in a unified way. They offer a broad understanding of the recent developments in Computer Science and are directly applicable in professional life.
Logic Functions and Equations is highly recommended for a one- or two-semester course in many Computer Science or computer Science-oriented programmes. It allows students an easy high-level access to these methods and enables sophisticated applications in many different areas. It elegantly bridges the gap between Mathematics and the required theoretical foundations of Computer Science.
Additional text
From the reviews of the first edition:
"The book under analysis has two main features which distinguish it from the numerous other books devoted to the applications of the two-element Boolean algebra to computer science and related fields. The first characteristic is the manner in which the beginner is introduced to the field. The authors adopt a strongly conversational style. … The other main feature of this book is the crucial role played by the authors’ own research on Boolean differential calculus … ." (Sergiu Rudeanu, Zentralblatt MATH, Vol. 1087, 2006)
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From the reviews of the first edition:
"The book under analysis has two main features which distinguish it from the numerous other books devoted to the applications of the two-element Boolean algebra to computer science and related fields. The first characteristic is the manner in which the beginner is introduced to the field. The authors adopt a strongly conversational style. The other main feature of this book is the crucial role played by the authors own research on Boolean differential calculus ." (Sergiu Rudeanu, Zentralblatt MATH, Vol. 1087, 2006)
