Repetitorium Mathematik
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Repetitorium Mathematik: Zur Vorbereitung auf den Pflichtbereich Mathematik in Vorprüfung oder Staatsexamen

Repetitorium Mathematik: Zur Vorbereitung auf den Pflichtbereich Mathematik in Vorprüfung oder Staatsexamen


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About the Book

Lineare Algebra - Analytische Geometrie - Elementargeometrie - Analysis - Elementare Wahrscheinlichkeitstheorie - Algebra

Table of Contents:
1 Lineare Algebra.- 1.1 Vektorräume.- 1.2 Lineare Unabhängigkeit, Basis und Koordinaten.- 1.3 Dimension.- 1.4 Lineare Abbildungen, Gleichungssysteme, Faktorräume.- 1.5 Eigenwerttheorie.- 1.6 Skalarprodukt.- 1.7 Isometrien.- 1.8 Dualraum.- 1.9 Determinanten.- 2 Analytische Geometrie.- 2.1 Affine Unterräume.- 2.2 Affin-lineare Abbildungen, Affinitäten.- 2.3 Ahnlichkeitsabbildungen und Bewegungen.- 2.4 Kegelschnitte.- 3 Elementargeometrie (synthetische Geometrie).- 3.1 Affine Räume.- 3.2 Geordnete Geometrie.- 3.3 Kongruenzgeometrie.- 3.4 Weitere wichtige Sätze der Euklidischen Geometrie.- 3.5 Abbildungsgeometrie.- 4 Analysis.- 4.1 Folgen und Reihen in ?1.- 4.2 Konvergenz und Stetigkeit in metrischen Räumen.- 4.3 Invarianten stetiger Abbildungen, Mittelwertsatz, Zwischenwertsatz.- 4.4 Reihen in normierten Räumen.- 4.5 Differenzierbarkeit in ?1.- 4.6 Differenzierbarkeit von Abbildungen.- 4.7 Integration.- 4.8 Anhang: Reelle und komplexe Zahlen.- 5 Elementare Wahrscheinlichkeitstheorie.- 5.1 Diskrete Wahrscheinlichkeitsräume.- 5.2 Zufallsvariable.- 5.3 Wahrscheinlichkeitsmaße mit Dichten.- 5.4 Approximation der Binomialverteilung.- 5.5 Gesetze der großen Zahlen.- 6 Anfinge der Algebra.- 6.1 Algebraische Strukturen.- 6.2 Zum Aufbau des Zahlensystems.- 6.3 Endliche Körpererweiterungen.- 6.4 Konstruierbarkeit mit Zirkel und Lineal.- 6.5 Endliche Körper.- 6.6 Teilbarkeit in ?.- 6.7 Euklidische Ringe, Hauptidealringe, ZPE-Ringe.- 6.8 Anfänge der Gruppentheorie.- Stichwortverzeichnis.

About the Author :
Ralph-Hardo Schulz ist Professor am Fachbereich Mathematik der Freien Universität Berlin.


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Product Details
  • ISBN-13: 9783528065478
  • Publisher: Springer Fachmedien Wiesbaden
  • Publisher Imprint: Vieweg+Teubner Verlag
  • Height: 229 mm
  • No of Pages: 242
  • Sub Title: Zur Vorbereitung auf den Pflichtbereich Mathematik in Vorprüfung oder Staatsexamen
  • ISBN-10: 3528065478
  • Publisher Date: 01 Jan 1994
  • Binding: Paperback
  • Language: German
  • Returnable: Y
  • Width: 162 mm


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Repetitorium Mathematik: Zur Vorbereitung auf den Pflichtbereich Mathematik in Vorprüfung oder Staatsexamen
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