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Mathematik Für Die Informatik: Grundlegende Begriffe, Strukturen Und Anwendungen by Rudolf Berghammer

Mathematik Für Die Informatik: Grundlegende Begriffe, Strukturen Und Anwendungen

by Rudolf Berghammer
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Book cover type: Paperback
  • ISBN13: 9783658441487
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Vieweg
  • Publisher Imprint: Springer Vieweg
  • Publication Date:
  • Pages: 594
  • Original Price: EUR 46.72
  • Language: German
  • Edition: 5. Aufl. 2024
  • Item Weight: 958 grams
  • BISAC Subject(s): Data Science / General

Mathematik für die Informatik: Dieses Buch bringt Ihnen die Grundlagen bei

Dieses Lehrbuch bietet eine Einführung in die grundlegenden Begriffe und Strukturen der Mathematik, welche am Anfang eines Informatikstudiums relevant sind. Weiterhin demonstriert es Anwendungen von mathematischen Konzepten und Methoden in der Informatik. Diese betreffen insbesondere formale Methoden der Programmverifikation und -entwicklung und den Entwurf von generischen Programmen.

Ein spezielles Konzept mit einer leicht verständlichen Vermittlung des Stoffs, vielen Beispielen mit Rückgriffen auf die Schulmathematik und detaillierten Beweisen (verbunden mit der Erklärung des logischen Hintergrunds) erleichtert den Einstieg in die Mathematik an einer wissenschaftlichen Hochschule. Dadurch werden die Studierenden auch auf spätere Begriffe und tiefergehende Anwendungen der Mathematik in der Informatik gut vorbereitet. Die 5. Auflage erweitert den Inhalt um die Grundlagen der linearen Algebra.

Die Übungsaufgaben zu den einzelnen Kapitel helfen, das Erlernte zu festigen und zu kontrollieren. Zahlreiche Lösungsvorschläge am Ende des Buchs ermöglichen die Überprüfung der eigenen Lösungen.

Der Inhalt

Mengentheoretische Grundlagen - Logische Grundlagen - Allgemeine direkte Produkte und Datenstrukturen - Mathematische Beweise - Spezifikation und Programmverifikation - Spezielle Funktionen - Spezielle Relationen und gerichtete Graphen - Elementare Kombinatorik und ungerichtete Graphen - Diskrete Wahrscheinlichkeitstheorie - Generische Programmierung - Grundbegriffe algebraischer Strukturen - Formale Einführung der natürlichen Zahlen - Grundbegriffe der linearen Algebra

Mit diesem Buch gelingt der Einstieg ins Informatik-Studium

Mit diesem Buch schaffen Sie eine solide Basis für die Mathematikausbildung im Rahmen desInformatikstudiums. Zudem sind Sie durch die vorgestellten Problemstellungen in der Lage, selbstständig mathematische Konzepte und Methoden anzuwenden. Zielgruppen dieses Buchs über Mathematik in der Informatik sind Bachelor-Studierende in den ersten Studiensemestern folgender Fachbereiche:

  • Informatik
  • Mathematik
  • Ingenieurwissenschaften

Rudolf Berghammer ist pensionierter Professor am Institut für Informatik der Universität Kiel. Er beschäftigt sich hauptsächlich mit der Anwendung von algebraischen und ordnungstheoretischen Methoden in der Informatik und der Unterstützung durch entsprechende Werkzeuge.

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