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Lineare Algebra 2: Anwendungen Und Konzepte Für Studierende Der Mathematik Und Physik

Lineare Algebra 2: Anwendungen Und Konzepte Für Studierende Der Mathematik Und Physik

          
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About the Book

In diesem Band des zweiteiligen Lehrbuchs zur Linearen Algebra werden zum einen verschiedene Anwendungen zu den Themen des ersten Bandes vertieft: es wird die Lösungstheorie linearer gewöhnlicher Differentialgleichungen mit konstanten Koeffizienten vorgestellt. Zum anderen werden die formalen Konzepte der linearen Algebra vertieft. Neben Quotientenkonstruktionen und der Theorie der symmetrischen und antisymmetrischen Bilinearformen wird vor allem die multilineare Algebra zusammen mit Tensorprodukten im Detail besprochen.

Wie schon im ersten Band ist der Zugang dieses Lehrbuchs eher klassisch: Die formalen Aspekte der wissenschaftlichen Mathematik werden stark betont. Noch stärker als im ersten Band wird jedoch gerade aus den Anwendungen in der mathematischen Physik wichtige Motivation für das Vorgehen gewonnen. Auf diese Weise ist das Lehrbuch sowohl für Studierende der Mathematik als auch der Physik geeignet. Insgesamt über 100 umfangreiche Übungen erleichtern das Selbststudium.

Der Inhalt von Band 2:

  • Lineare Differentialgleichungen und die Exponentialabbildung
  • Quotienten
  • Multilineare Abbildungen und Tensorprodukte
  • Bilinearformen und Quadriken

Der Autor
Stefan Waldmann studierte Physik in Freiburg, wo er 1999 promovierteund 2003 habilitierte. Nach Professuren für Differentialgeometrie inLeuven und harmonische Analysis in Erlangen ist er nun am Institut fürMathematik der Universität Würzburg Inhaber des Lehrstuhls für Mathematische Physik.
About the Author: Stefan Waldmann studierte Physik in Freiburg, wo er 1999 promovierte und 2003 habilitierte. Nach Professuren für Differentialgeometrie in Leuven und harmonische Analysis in Erlangen ist er nun am Institut für Mathematik der Universität Würzburg Lehrstuhlinhaber des Lehrstuhls für Mathematische Physik.


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Product Details
  • ISBN-13: 9783662533475
  • Publisher: Springer Spektrum
  • Publisher Imprint: Springer Spektrum
  • Edition: 1. Aufl. 2017 ed.
  • Language: German
  • Returnable: N
  • Spine Width: 14 mm
  • Width: 156 mm
  • ISBN-10: 3662533472
  • Publisher Date: 23 Nov 2016
  • Binding: Paperback
  • Height: 234 mm
  • No of Pages: 248
  • Series Title: German
  • Weight: 381 gr


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Lineare Algebra 2: Anwendungen Und Konzepte Für Studierende Der Mathematik Und Physik
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