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关键词：
Comprehensive Mathematics for Computer Scientists 1
- Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry
书目信息
ISBN：
9783540208358（13位）
中图分类号：
TP3
杜威分类号：
中文译名：
计算机科学家用的综合数学1：集与数、图形与代数、逻辑与机器、线性几何
作者：
Mazzola
编者：
语种：
English
出版信息
出版社：
Springer
出版地：
出版年：
2004
版本：
版本类型：
原版
丛书题名：
Universitext
卷期：
文献信息
关键词：
Computer Science
前言：
摘要：
内容简介：
This two-volume textbook Comprehensive Mathematics for Computer Scientists is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, wavelets, numerical issues, statistics, categories, and manifolds. The concept framework is streamlined but defining and proving virtually everything. The style implicitly follows the spirit of recent topos-oriented theoretical computer science. Despite the theoretical soundness, the material stresses a large number of core computer science subjects, such as, for example, a discussion of floating point arithmetic, Backus-Naur normal forms, L-systems, Chomsky hierarchies, algorithms for data encoding, e.g., the Reed-Solomon code. The numerous course examples are motivated by computer science and bear a generic scientific meaning. This text is complemented by an online universi ty course which covers the same theoretical content, however, in a totally different presentation. The student or working scientist who once gets involved in this text may at any time consult the online interface which comprises applets and other interactive tools.
目次：
I. Sets, Numbers, and Graphs: Fundamentals - Concepts and Logic. Boolean Set Algebra. Functions and Relations. Ordinal and Natural Numbers. Recursion Theorem and Universal Properties. Natural Arithmetic. Infinities. The Classical Number Domains Z;Q;R, and C. Categories of Graphs. Construction of Graphs. Some Special Graphs. Planarity. First Advanced Topic.- II. Algebra: Formal Logic, and Linear Geometry. Monoids, Groups, Rings, and Fields. Primes. Formal Propositional Logic. Formal Predicate Logic. Languages, Grammars, and Automata. Modules and Vector Spaces. Linear Dependence, Bases and Dimension. Linear Maps and Matrixes. Algorithms in Linear Algebra. Geometric Algebra. Eigenvalues, Symmetry Groups, and Quaternions. Second Advanced Topic.- III Topology and Calculus. Limits and Topology. Differentiability. Inverse and Implicit Functions. Integration. Fubini and Changing Variables. Vector Fields. Fixpoints. Main Theorem of ODEs.
附录：
全文链接：
读者对象：
grad.
实体信息
页码：
装帧：
soft
尺寸：
其它形态细节：
其它信息
原价：
EUR
26.9500
原版ISBN：
其它ISBN：
图书特色：
书评：
扩展信息
Isbn：
3540208356
issue：
2006JC01
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