rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Comprehensive Mathematics for Computer Scientists 1
    sub title: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Second Edition)
  name:
    name part: Mazzola, Guerino.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Milmeister, Gérard.
    role:
      role term: author.
  name:
    name part: Weissmann, Jody.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIV, 388 p. online resource.
  abstract: 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. For the second edition the entire text has been carefully reread, and many examples have been added, as well as illustrations and explications to statements and proofs which were exposed in a too shorthand style. This makes the book more comfortable for instructors as well as for students to handle.
  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.
  note: by Guerino Mazzola, Gérard Milmeister, Jody Weissmann.
  subject:
    topic: Computer science
  subject:
    topic: Mathematical logic
  subject:
    topic: Computer science
    topic: Mathematics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Computer Science
  subject:
    topic: Discrete Mathematics in Computer Science
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Mathematical Logic and Formal Languages
  subject:
    topic: Mathematics of Computing
  classification: QA76.9.M35
  classification: 004.0151
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783540368748
  identifier: http://dx.doi.org/10.1007/978-3-540-36874-8
  record info:
    record creation date: 100301
    record change date: 20151123191238.0
    record identifier: 978-3-540-36874-8