Logic Functions and Equations: Fundamentals and Applications using the XBOOLE-Monitor
Autor Bernd Steinbach, Christian Posthoffen Limba Engleză Hardback – 7 iun 2022
Updated throughout, some major additions for the 3rd edition include:
- a new chapter about the concepts contributing to the power of XBOOLE;
- a new chapter that introduces into the application of the XBOOLE-Monitor XBM 2;
- many tasks that support the readers in amplifying the learned content at the end of the chapters;
- solutions of a large subset of these tasks to confirm learning success;
- challenging tasks that need the power of the XBOOLE software for their solution.
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Specificații
ISBN-13: 9783030889449
ISBN-10: 3030889440
Ilustrații: XVI, 810 p. 487 illus., 239 illus. in color.
Dimensiuni: 178 x 254 mm
Greutate: 1.64 kg
Ediția:3rd ed. 2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
ISBN-10: 3030889440
Ilustrații: XVI, 810 p. 487 illus., 239 illus. in color.
Dimensiuni: 178 x 254 mm
Greutate: 1.64 kg
Ediția:3rd ed. 2022
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland
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Cuprins
Part I Theoretical Foundations.- 1. Basic Algebraic Structures.- 2. Logic Functions.- 3. Logic Equations.- 4. Boolean Differential Calculus.- 5. Sets, Lattices, and Classes of Logic Functions.- Part II Applications.- 6. Logic, Arithmetic, and Special Functions.- 7. SAT-Problems.- 8. Extremely Complex Problems.- 9. Combinational Circuits.- 10. Sequential Circuits.- References.- Index.
Notă biografică
Bernd Steinbach studied Information Technology at the University of Technology in Chemnitz (Germany) and graduated with an M.Sc. in 1973. He graduated with a Ph.D. and with a Dr. sc. techn. (Doctor scientiae technicarum) for his second doctoral thesis from the Faculty of Electrical Engineering of the Chemnitz University of Technology in 1981 and 1984, respectively. In 1991 he obtained the Habilitation (Dr.-Ing. habil.) from the same Faculty. Topics of his theses involved Boolean equations, Boolean differential equations, and their application in the field of circuit design using efficient algorithms and data structures on computers.
He was working in industry as an Electrician, there he tested professional controlling systems at the Niles Company. After finishing his studies, he taught as Assistant Lecturer at the Department of Information Technology of the Chemnitz University of Technology. In a following period of industrial occupation as a research engineer he developed programs for test pattern generation for computer circuits at the company ROBOTRON. Thereafter he returned to the Department of Information Technology of the Chemnitz University of Technology as Associate Professor for design automation in logic design.
From 1992 to 2017 he was a Full Professor of Computer Science / Software Engineering and Programming at the Freiberg University of Mining and Technology, Department of Computer Science. He served as Head of the Department of Computer Science and Vice-Dean of the Faculty of Mathematics and Computer Science. His research areas include logic functions and equations and their application in many fields, such as Artificial Intelligence, UML - based testing of software, UML - based hardware / software co-design, and extremely complex problems. He is the head of a group that developed the XBOOLE software system. He is co-author and editor of 19 books. He published more than 280 chapters in books, complete issuesof journals, and papers in journals and proceedings.
He has served as Program Chairman for the IEEE International Symposium on Multiple-Valued Logic (ISMVL), and as guest editor of the Journal of Multiple-Valued Logic and Soft Computing. He is the initiator and was the general chair of the first 12 workshops of a biennial series of International Workshops on Boolean Problems (IWSBP), which started in 1994. He received the Barkhausen Award from the University of Technology Dresden in 1983.
Christian Posthoff studied Mathematics at the University of Leipzig. From 1968 to 1972, he worked as a programmer and in the field of Operations Research; simultaneously, he did his Ph.D. in 1975 with the thesis "Application of Mathematical Methods in Communicative Psychotherapy". In 1972, he began working at the Department of Information Technology at the Chemnitz University of Technology; up to 1983, his research activities concentrated on logic design. Important results have been algorithms and programs for solving Boolean equations with a high number of variables and the Boolean Differential Calculus (a generalized differential and integral calculus for Boolean rings) for the analytical treatment of different problems in the field of logic design. These results have been collected in a monograph "Binary Dynamic Systems", and allowed the habilitation (Dr.-Ing. habil.) at the Faculty of Electrical Engineering in 1979 and the promotion to Associate Professor. In 1983, he was promoted to Full Professor of Computer Science in the Department of Computer Science at the same university, and since 1984, he was Head of the Institute of Theoretical Computer Science and Artificial Intelligence and Research Director of the Department of Computer Science. His research activities included the application of fuzzy logics for the modeling of human-like "thinking" methods, learning from examples, the construction of intelligent tutoring systems, the parallelization of inference mechanisms, systems of diagnosis and configuration. He received the Scientific Award of the Chemnitz University of Technology four times.
In 1994, he moved to the Chair of Computer Science at The University of The West Indies, St. Augustine, Trinidad & Tobago. From 1996 to 2002 he was Head of the Department of Mathematics & Computer Science. He mainly focused on the development of Computer Science education at the undergraduate and graduate levels to attain international standard. Twenty years later it can be said that these intentions were very successfully fulfilled. In 2001, he received the Vice-Chancellor's Award of Excellence. From 2010 – 2012 he spent two years at St. Georges University in Grenada with the same goals. Since his return to Germany (now retired) he devoted his efforts to the interdisciplinary research and education in several areas (ComputerScience – Mathematics – Applications in different fields). He is the author or co-author of more than 25 books and many publications in journals and conference proceedings.
He was working in industry as an Electrician, there he tested professional controlling systems at the Niles Company. After finishing his studies, he taught as Assistant Lecturer at the Department of Information Technology of the Chemnitz University of Technology. In a following period of industrial occupation as a research engineer he developed programs for test pattern generation for computer circuits at the company ROBOTRON. Thereafter he returned to the Department of Information Technology of the Chemnitz University of Technology as Associate Professor for design automation in logic design.
From 1992 to 2017 he was a Full Professor of Computer Science / Software Engineering and Programming at the Freiberg University of Mining and Technology, Department of Computer Science. He served as Head of the Department of Computer Science and Vice-Dean of the Faculty of Mathematics and Computer Science. His research areas include logic functions and equations and their application in many fields, such as Artificial Intelligence, UML - based testing of software, UML - based hardware / software co-design, and extremely complex problems. He is the head of a group that developed the XBOOLE software system. He is co-author and editor of 19 books. He published more than 280 chapters in books, complete issuesof journals, and papers in journals and proceedings.
He has served as Program Chairman for the IEEE International Symposium on Multiple-Valued Logic (ISMVL), and as guest editor of the Journal of Multiple-Valued Logic and Soft Computing. He is the initiator and was the general chair of the first 12 workshops of a biennial series of International Workshops on Boolean Problems (IWSBP), which started in 1994. He received the Barkhausen Award from the University of Technology Dresden in 1983.
Christian Posthoff studied Mathematics at the University of Leipzig. From 1968 to 1972, he worked as a programmer and in the field of Operations Research; simultaneously, he did his Ph.D. in 1975 with the thesis "Application of Mathematical Methods in Communicative Psychotherapy". In 1972, he began working at the Department of Information Technology at the Chemnitz University of Technology; up to 1983, his research activities concentrated on logic design. Important results have been algorithms and programs for solving Boolean equations with a high number of variables and the Boolean Differential Calculus (a generalized differential and integral calculus for Boolean rings) for the analytical treatment of different problems in the field of logic design. These results have been collected in a monograph "Binary Dynamic Systems", and allowed the habilitation (Dr.-Ing. habil.) at the Faculty of Electrical Engineering in 1979 and the promotion to Associate Professor. In 1983, he was promoted to Full Professor of Computer Science in the Department of Computer Science at the same university, and since 1984, he was Head of the Institute of Theoretical Computer Science and Artificial Intelligence and Research Director of the Department of Computer Science. His research activities included the application of fuzzy logics for the modeling of human-like "thinking" methods, learning from examples, the construction of intelligent tutoring systems, the parallelization of inference mechanisms, systems of diagnosis and configuration. He received the Scientific Award of the Chemnitz University of Technology four times.
In 1994, he moved to the Chair of Computer Science at The University of The West Indies, St. Augustine, Trinidad & Tobago. From 1996 to 2002 he was Head of the Department of Mathematics & Computer Science. He mainly focused on the development of Computer Science education at the undergraduate and graduate levels to attain international standard. Twenty years later it can be said that these intentions were very successfully fulfilled. In 2001, he received the Vice-Chancellor's Award of Excellence. From 2010 – 2012 he spent two years at St. Georges University in Grenada with the same goals. Since his return to Germany (now retired) he devoted his efforts to the interdisciplinary research and education in several areas (ComputerScience – Mathematics – Applications in different fields). He is the author or co-author of more than 25 books and many publications in journals and conference proceedings.
Textul de pe ultima copertă
The greatly expanded and updated 3rd edition of this textbook offers the reader a comprehensive introduction to the concepts of logic functions and equations and their applications across computer science and engineering. The authors’ approach emphasizes a thorough understanding of the fundamental principles as well as numerical and computer-based solution methods. The book provides insight into applications across propositional logic, binary arithmetic, coding, cryptography, complexity, logic design, and artificial intelligence.
Updated throughout, some major additions for the 3rd edition include:
Updated throughout, some major additions for the 3rd edition include:
- a new chapter about the concepts contributing to the power of XBOOLE;
- a new chapter that introduces into the application of the XBOOLE-Monitor XBM 2;
- many tasks that support the readers in amplifying the learned content at the end of the chapters;
- solutions of a large subset of these tasks to confirm learning success;
- challenging tasks that need the power of the XBOOLE software for their solution.
Caracteristici
Introduces Boolean Differential Calculus in a way that enables the study of the dynamics of logic functions Uses an accessible approach to teach methods that enable applications in various fields Elegantly bridges the gap between mathematics and the required theoretical foundations of Computer Science Uses the XBOOLE-monitor XBM 2 (downloadable by everybody as supplemented material) to solve all provided exercises
Descriere
Descriere de la o altă ediție sau format:
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 Equationsis 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.
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 Equationsis 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.
Recenzii
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)
"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)