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Etwas Analysis: Eine Einführung in Die Eindimensionale Analysis
Paperback
ISBN13: 9783658057985
Publisher: Springer Spektrum
Published: Jul 10 2014
Pages: 339
Weight: 1.05
Height: 0.80 Width: 5.90 Depth: 8.30
Language: German
Dieses Buch bietet eine schlanke und elegante Einführung in die Analysis einer reellen Variablen für Studierende der Mathematik ab dem ersten Semester. Das Wesentliche wird klar und mit möglichst einfacher Notation formuliert. Der Schwerpunkt liegt auf den Konzepten und Ideen, weniger auf Formeln und Rechenfertigkeit. Ausgehend von der axiomatischen Begründung der reellen Zahlen werden die zentralen Begriffe Grenzwert, Vollständigkeit und Stetigkeit diskutiert. Auf diesen bauen das Integral und das Differenzial auf. Zu jedem Kapitel gibt es zahlreiche Aufgaben, die auch teilweise weiterführende Ergebnisse entwickeln. Zur Kontrolle werden die vollständigen Lösungen auf der Website des Verlages unter Zusätzliche Informationen zum Buch bereit gestellt.
Dieser Band findet seine Fortsetzung in den Bänden Etwas mehr Analysis und Noch mehr Analysis.
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