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Titlebook: Applied Abstract Algebra; Rudolf Lidl,Günter Pilz Textbook 19841st edition Springer-Verlag New York Inc. 1984 Abstract algebra.Boolean alg

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期刊全称Applied Abstract Algebra
影响因子2023Rudolf Lidl,Günter Pilz
视频video
学科分类Undergraduate Texts in Mathematics
图书封面Titlebook: Applied Abstract Algebra;  Rudolf Lidl,Günter Pilz Textbook 19841st edition Springer-Verlag New York Inc. 1984 Abstract algebra.Boolean alg
影响因子There is at present a growing body of opinion that in the decades ahead discrete mathematics (that is, "noncontinuous mathematics"), and therefore parts of applicable modern algebra, will be of increasing importance. Cer­ tainly, one reason for this opinion is the rapid development of computer science, and the use of discrete mathematics as one of its major tools. The purpose of this book is to convey to graduate students or to final-year undergraduate students the fact that the abstract algebra encountered pre­ viously in a first algebra course can be used in many areas of applied mathematics. It is often the case that students who have studied mathematics go into postgraduate work without any knowledge of the applicability of the structures they have studied in an algebra course. In recent years there have emerged courses and texts on discrete mathe­ matics and applied algebra. The present text is meant to add to what is available, by focusing on three subject areas. The contents of this book can be described as dealing with the following major themes: Applications of Boolean algebras (Chapters 1 and 2). Applications of finite fields (Chapters 3 to 5). Applications of semigroups
Pindex Textbook 19841st edition
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Coding Theory, two decades. We consider the problem of safe transmission of a message over a channel, which can be affected by “noise”. This is the problem of coding and decoding of information. Examples of this situation, in communication systems, are: radio, television, telegraph, telephone, and data storage sy
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Further Applications of Fields and Groups,f some further applications of algebraic concepts, mainly groups and fields, to areas such as the design of experiments, transmission of secret information or communication with satellites. The selected areas and examples of further applications form only a sample. We refer the interested reader to
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Automata,or lift switchings. All of the above have one aspect in common, namely a “box” which can assume various “states”. These states can be transformed into other states by outside influences (called “inputs”), for instance by electrical or mechanical impulses. Often the automaton “reacts” and produces “o
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Coding Theory, two decades. We consider the problem of safe transmission of a message over a channel, which can be affected by “noise”. This is the problem of coding and decoding of information. Examples of this situation, in communication systems, are: radio, television, telegraph, telephone, and data storage systems, such as records, tapes, films, etc.
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Automata,or lift switchings. All of the above have one aspect in common, namely a “box” which can assume various “states”. These states can be transformed into other states by outside influences (called “inputs”), for instance by electrical or mechanical impulses. Often the automaton “reacts” and produces “outputs” like results of computations or change.
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Solutions to the Exercises,elegant solution to an exercise question. Some of the solutions have been provided over the years by our students, and will often indicate the most obvious or direct approach for finding the answer to a given question.
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