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Aufgaben Und Lösungen Zur Mathematik Für Den Studienstart: Brückenkurs, Analysis Und Lineare Algebra Für Hochschulen by Andreas Keller

Aufgaben Und Lösungen Zur Mathematik Für Den Studienstart: Brückenkurs, Analysis Und Lineare Algebra Für Hochschulen

by Andreas Keller
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Book cover type: Paperback
  • ISBN13: 9783662636275
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Publication Date:
  • Pages: 384
  • Original Price: EUR 35.5
  • Language: German
  • Edition: 1. Aufl. 2021
  • Item Weight: 554 grams
  • BISAC Subject(s): Mathematical Analysis

In diesem Buch finden Sie mehr als 300 typische Übungsaufgaben mit ausgearbeiteten Lösungen zu den Mathematikveranstaltungen der ersten beiden Semester in den Natur- und Ingenieurswissenschaften, in Informatik oder verwandten Studiengängen insbesondere an Hochschulen für angewandte Wissenschaften, die Sie bei der Bearbeitung von Übungsblättern, zur Klausurvorbereitung und zur Festigung des Stoffes unterstützen können.

Einige Aufgaben dienen auch zur Auffrischung und Vertiefung zu einigen grundlegenden Themen der Schulmathematik, so dass das Buch Ihnen auch schon vor Studienbeginn helfen kann, eventuelle Lücken zu schlie en, z.B. im Rahmen eines Selbststudiums oder als Begleitlektüre zu einem Brückenkurs.

Inhalte des Buchs

  • Auffrischung (Bruchrechnung, Potenz- und Wurzelrechnung, Beträge, quadratische Gleichungen, Ungleichungen, Trigonometrie etc.)
  • Grundlagen (Aussagenlogik, reelle Zahlen, elementare Zahlentheorie, endliche Summen und vollständige Induktion)
  • Analysis (Folgen und Reihen, elementare Funktionen, Grenzwertrechnung, Differential- und Integralrechnung in einer Variablen, Taylor-Reihen)
  • Grundlagen komplexe Zahlen
  • Lineare Algebra (Vektorräume, Determinanten und Matrizen, Lineare Gleichungssysteme, analytische Geometrie, Eigenwerte und Eigenvektoren, lineare Abbildungen und Transformationen)

Zielgruppe

Studierende an Hochschulen für

  • Studiengänge der Natur- und Ingenieurswissenschaften, Technomathematik
  • Informatik & informatiknahe Studiengänge wie Data Science, Maschinelles Lernen etc.

Aber auch für Studierende des Wirtschaftsingenieurswesens, der Wirtschaftsinformatik, E-Commerce etc. können Teile des Buchs interessant sein. Natürlich kann das Buch auch als Grundlage und Einstieg in die entsprechenden Studiengänge an Universitäten dienen.

Andreas Keller promovierte 2013 an der Universität Stuttgart am Lehrstuhl für Numerik und Geometrische Modellierung bei Prof. Dr. Höllig und ist seit 2017 Professor für Mathematik an der Hochschule für angewandte Wissenschaften Würzburg-Schweinfurt.

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