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Titlebook: Algebra for Computer Science; Lars Gårding,Torbjörn Tambour Textbook 1988 Springer-Verlag New York Inc. 1988 Algebra.Arithmetic.Equivalenc

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发表于 2025-3-21 17:10:54 | 显示全部楼层 |阅读模式
期刊全称Algebra for Computer Science
影响因子2023Lars Gårding,Torbjörn Tambour
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学科分类Universitext
图书封面Titlebook: Algebra for Computer Science;  Lars Gårding,Torbjörn Tambour Textbook 1988 Springer-Verlag New York Inc. 1988 Algebra.Arithmetic.Equivalenc
影响因子The aim of this book is to teach the reader the topics in algebra which are useful in the study of computer science. In a clear, concise style, the author present the basic algebraic structures, and their applications to such topics as the finite Fourier transform, coding, complexity, and automata theory. The book can also be read profitably as a course in applied algebra for mathematics students.
Pindex Textbook 1988
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发表于 2025-3-21 20:21:01 | 显示全部楼层
,De Quincey and Wordsworth — II,re of the objects counted gave us the natural numbers . the first mathematical model. In this chapter we shall study the simplest properties of divisibility, the primes, the Gaussian integers, and the algebraic numbers.
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Yves André,Francesco Baldassarriy of ., also called ., and defined as sets equipped with addition and subtraction (additive module) or commutative multiplication and division (commutative or abelian group). From an abstract point of view these two are the same, but it is useful to distinguish between them in practice.
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Irregularity: geometric theory,on is devoted to the elements of linear algebra. The many easy R-exercises are supposed to make the reader familiar with the definitions and the terminology. The text is also a preparation for Chapter 6 on algebraic complexity theory.
发表于 2025-3-22 14:52:06 | 显示全部楼层
Projective General Relativity (PGR),The material of this chapter, divisibility in polynomial rings, algebraic numbers over a field and finite fields are substantial pieces of mathematics, over 150 years old. Some of the results have found applications in computer science.
发表于 2025-3-22 18:32:31 | 显示全部楼层
De Sitter Projective RelativityTwo of the most striking applications of finite fields to computer science are to the theory of shift registers and to coding. Both are of great practical importance. Here we will be concerned only with elementary theory.
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发表于 2025-3-23 03:38:19 | 显示全部楼层
Polynomial rings, algebraic fields, finite fields,The material of this chapter, divisibility in polynomial rings, algebraic numbers over a field and finite fields are substantial pieces of mathematics, over 150 years old. Some of the results have found applications in computer science.
发表于 2025-3-23 06:42:51 | 显示全部楼层
Shift registers and coding,Two of the most striking applications of finite fields to computer science are to the theory of shift registers and to coding. Both are of great practical importance. Here we will be concerned only with elementary theory.
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