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Grundwissen Mathematikstudium - Analysis Und Lineare Algebra Mit Querverbindungen: Analysis Und Lineare Algebra Mit Querverbindungen

Grundwissen Mathematikstudium - Analysis Und Lineare Algebra Mit Querverbindungen: Analysis Und Lineare Algebra Mit Querverbindungen

          
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About the Book

Dieses vierfarbige Lehrbuch wendet sich an Studierende der Mathematik in Bachelor- und Lehramts-Studiengängen. Es bietet in einem Band ein lebendiges Bild der mathematischen Inhalte, die üblicherweise im ersten Studienjahr behandelt werden (und etliches mehr).

Mathematik-Studierende finden wichtige Begriffe, Sätze und Beweise ausführlich und mit vielen Beispielen erklärt und werden an grundlegende Konzepte und Methoden herangeführt.

Im Mittelpunkt stehen das Verständnis der mathematischen Zusammenhänge und des Aufbaus der Theorie sowie die Strukturen und Ideen wichtiger Sätze und Beweise. Es wird nicht nur ein in sich geschlossenes Theoriengebäude dargestellt, sondern auch verdeutlicht, wie es entsteht und wozu die Inhalte später benötigt werden.

Herausragende Merkmale sind:

  • durchgängig vierfarbiges Layout mit mehr als 600 Abbildungen
  • prägnant formulierte Kerngedanken bilden die Abschnittsüberschriften
  • Selbsttests in kurzen Abständen ermöglichen Lernkontrollen während des Lesens
  • farbige Merkkästen heben das Wichtigste hervor
  • "Unter-der-Lupe"-Boxen zoomen in Beweise hinein, motivieren und erklären Details
  • "Hintergrund-und-Ausblick"-Boxen stellen Zusammenhänge zu anderen Gebieten und weiterführenden Themen her
  • Zusammenfassungen zu jedem Kapitel sowie Übersichtsboxen
  • mehr als 400 Verständnisfragen, Rechenaufgaben und Aufgaben zu Beweisen
  • deutsch-englisches Symbol- und Begriffsglossar

Der inhaltliche Schwerpunkt liegt auf den Themen der Vorlesungen Analysis 1 und 2 sowie Linearer Algebra 1 und 2. Behandelt werden darüber hinaus Inhalte und Methodenkompetenzen, die vielerorts im ersten Studienjahr der Mathematikausbildung vermittelt werden.

Auf der Website zum Buch www.matheweb.de finden Sie

  • Hinweise, Lösungswege und Ergebnisse zu allen Aufgaben
  • Zusatzmaterialien wie Maple-Worksheets zu verschiedenen Themen des Buchs
  • die Möglichkeit, zu den Kapiteln Fragen zu stellen

Das Buch wird allen Studierenden der Mathematik vom Beginn des Studiums bis in höhere Semester hinein ein verlässlicher Begleiter sein.


About the Author:

PD Dr. Tilo Arens und PD Dr. Frank Hettlich sind beide als Dozenten an der Fakultät für Mathematik des Karlsruher Instituts für Technologie (KIT) tätig.

Dr. Rolf Busam ist wissenschaftlicher Mitarbeiter am Mathematischen Institut der Universität Heidelberg, hält dort seit langen Jahren die Analysis-Vorlesungen und ist mitverantwortlich für die Lehrerausbildung.

Prof. Dr. Christian Karpfinger lehrt an der Technischen Universität München; 2004 erhielt er den Landeslehrpreis des Freistaates Bayern.

Dr. Dr. h.c. Hellmuth Stachel ist seit mehr als 30 Jahren Professor für Geometrie an der Technischen Universität Wien und seit 2011 emeritiert.


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Product Details
  • ISBN-13: 9783827423085
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Depth: 51
  • Language: German
  • Returnable: Y
  • Sub Title: Analysis und Lineare Algebra mit Querverbindungen
  • Width: 208 mm
  • ISBN-10: 3827423082
  • Publisher Date: 29 Nov 2012
  • Binding: Hardback
  • Height: 277 mm
  • No of Pages: 1172
  • Spine Width: 56 mm
  • Weight: 3103 gr


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