Comprehensive Mathematics for Computer Scientists 1 Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry /

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, w...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Mazzola, Guerino (Author), Milmeister, Gérard (Author), Weissmann, Jody (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2006.
Edition:2nd ed. 2006.
Series:Universitext,
Subjects:
Computer science-Mathematics.
Discrete mathematics.
Mathematics.
Machine theory.
Discrete Mathematics in Computer Science.
Applications of Mathematics.
Formal Languages and Automata Theory.
Mathematics of Computing.
Online Access:Texto Completo
Table of Contents:
  • Sets, Numbers, and Graphs
  • Fundamentals-Concepts and Logic
  • Axiomatic Set Theory
  • 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
  • Algebra, Formal Logic, and Linear Geometry
  • Monoids, Groups, Rings, and Fields
  • Primes
  • Formal Propositional Logic
  • Formal Predicate Logic
  • Languages, Grammars, and Automata
  • Categories of Matrixes
  • Modules and Vector Spaces
  • Linear Dependence, Bases, and Dimension
  • Algorithms in Linear Algebra
  • Linear Geometry
  • Eigenvalues, the Vector Product, and Quaternions
  • Second Advanced Topic.

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