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Universalschlüssel Fourier-Transformation: Innovative Anwendungen in Wissenschaft Und Technik
Hardcover
Technology & EngineeringGeneral Mathematics
ISBN13: 9783658474386
Publisher: Springer Vieweg
Published: Apr 9 2025
Pages: 391
Weight: 1.90
Height: 0.94 Width: 6.69 Depth: 9.61
Language: German
Die Fourier-Transformation ist eine der bedeutendsten mathematischen Methoden, die in der modernen Wissenschaft und Technik verwendet wird. Sie ermöglicht es, komplexe Signale und Funktionen in ihre Frequenzkomponenten zu zerlegen, was uns eine völlig neue Perspektive auf Daten und Phänomene eröffnet. Von der Signalverarbeitung bis hin zur Quantenphysik gibt es kaum ein Feld, in dem die Fourier-Transformation nicht Anwendung findet. Ihre Vielseitigkeit und ihr breites Anwendungsspektrum machen sie zu einem universellen Werkzeug - einem Schlüssel, der die Türen zu vielen wissenschaftlichen und technischen Herausforderungen öffnet.
Der Titel dieses Buches, Universalschlüssel Fourier-Transformation, spiegelt genau diese Rolle wider. Die Fourier-Transformation ist nicht nur ein mathematisches Hilfsmittel, sondern ein grundlegendes Werkzeug zur Lösung unterschiedlichster Probleme. In der Signalverarbeitung erschlie t sie tiefergehende Informationen, die in der Zeit- oder Ortsdarstellung verborgen bleiben. In der Bildverarbeitung ermöglicht sie die Kompression und Verbesserung von Bildern, in der Physik hilft sie, Wellenphänomene zu analysieren, und in der Medizin wird sie in der Bildgebung zur Diagnose eingesetzt. In all diesen Bereichen fungiert sie als Schlüssel, der verborgene Strukturen und Muster sichtbar macht.
Dieses Buch wurde geschrieben, um sowohl Einsteigern als auch Fortgeschrittenen einen verständlichen Zugang zur Fourier-Transformation zu bieten. Jedes Kapitel stellt die wesentlichen Konzepte systematisch vor, ergänzt durch praktische Anwendungen aus der realen Welt. Der Leser wird Schritt für Schritt durch die Grundlagen bis hin zu fortgeschrittenen Themen geführt, um ein umfassendes Verständnis dieser mächtigen Methode zu erlangen. Ein besonderer Mehrwert dieses Buches sind die kommentierten Literaturhinweise am Ende jedes Kapitels. Diese bieten eine Auswahl an weiterführender Literatur, die dem Leser die Möglichkeit gibt, die vorgestellten Konzepte zu vertiefen und in spezielle Themenbereiche einzutauchen. So kann das Gelernte nicht nur gefestigt, sondern auch in einem breiteren Kontext verstanden werden. Das Werk soll dabei helfen, die Fourier-Transformation nicht nur zu verstehen, sondern ihre Bedeutung als Universalschlüssel zu erkennen. Indem Sie die Prinzipien der Fourier-Transformation beherrschen, werden Sie in der Lage sein, komplexe Probleme in Wissenschaft und Technik auf neue und kreative Weise zu verstehen. anzugehen und zu lösen.
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