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Analysis II
Paperback
Series: Springer-Lehrbuch
CalculusGeneral MathematicsPhysics
ISBN13: 9783540462316
Publisher: Springer
Published: Mar 2 2007
Pages: 708
Weight: 2.21
Height: 1.45 Width: 6.14 Depth: 9.21
Language: German
Dieses zweibändige Werk bietet einen ausführlichen und tiefen Einblick in die Anfänge der Analysis: von der Einführung der reellen Zahlen bis hin zu fortgeschrittenen Themen wie Differentialformen auf Mannigfaltigkeiten, asymptotische Betrachtungen, und Fourier-, Laplace- und Legendre-Transformationen. Der Schwerpunkt liegt deutlich auf naturwissenschaftlichen Fragestellungen und eine ungewöhnliche Fülle an Beispielen, Aufgaben und Anwendungen ergänzt die Präsentation.
Im zweiten Band wird der heutige Stand klassischer Analysis erläutert, als Bestandteil einer vereinheitlichten Mathematik und ihrer Interaktion mit modernen mathematischen Lehrveranstaltungen wie der Algebra, der Differentialgeometrie, den Differentialgleichungen, der komplexen und der Funktionalanalysis. Das Buch legt für fortgeschrittene Studien in jede dieser Richtungen ein solides Fundament.
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