Der Text behandelt zentrale Fragestellungen der Variationsrechnung, skizziert historische Entwicklungen und ordnet die Verfahren in einen verst�ndlichen Rahmen ein. Die Auswahl der Methoden legt besonderen Wert auf das Verh�ltnis von Ideen und Perspektiven verschiedener Autoren und auf die Begr�ndung ihrer G�ltigkeit.

Grundlagen der ersten Variation und die Form der notwendigen Gleichungen
Transformation der zweiten Variation und Kriterien f�r Vorzeichen
Probleme mit mehreren Integralen und variablen Grenzbedingungen
Anwendungen in Analysis, Geometrie und verwandten Bereichen

Ideal f�r Leserinnen und Leser, die sich ein solides Verst�ndnis der Variationsrechnung aneignen m�chten.

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