Numerik in Der Physik, Ingenieurwissenschaft Und Informatik
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Dieses Lehrbuch wendet sich haupts�chlich an Studierende der Ingenieur- und Naturwissenschaften sowie der Informatik, aber auch an in der angewandten Praxis t�tige Fachkr�fte in diesen Disziplinen.
Es wird ein weites Spektrum von verschiedenen Themenfeldern behandelt, von der numerischen L�sung linearer Gleichungssysteme �ber Eigenwertprobleme, numerische Integration bis hin zu gew�hnlichen und partiellen Differentialgleichungen. Dabei werden jeweils die Methoden diskutiert, die den spezifischen Anforderungen typischer Aufgabenstellungen in der Praxis entsprechen.
Die Autoren stellen die Themen in einer Weise dar, die sowohl den wesentlichen mathematischen Hintergrund erl�utert, als auch eine unkomplizierte Umsetzung auf praktische Aufgabenstellungen bzw. die Realisierung auf dem Computer erm�glicht.
Vorausgesetzt werden lediglich Grundkenntnisse in der H�heren Mathematik, wie sie im Grundstudium f�r die genannten Fachrichtungen vermittelt werden, wobei einige wichtige Aussagen aus Analysis und linearer Algebra wiederholt werden.
Zu den behandelten Methoden werden Octave/Matlab- und Python-Programme angegeben und zum Download angeboten, so dass Lesende in die Lage versetzt werden, konkrete Aufgabenstellungen zu bearbeiten. Mehr als 60 �bungsaufgaben mit L�sungen im Internet erleichtern die Aneignung des Lernstoffes.
Die vorliegende 5. Auflage ist vollst�ndig durchgesehen und um die Themen Machine Learning und numerische L�sung der Maxwellgleichungen erweitert und enth�lt interaktive Flashcards (Springer-Nature-Flashcards-App) zum Selbststudium, mit denen Sie die Inhalte auf spielerische Weise ein�ben k�nnen.
Prof. Dr. Günter Bärwolff arbeitete ca. 15 Jahre in verschiedenen Forschungsinstituten in theoretisch und experimentell arbeitenden interdisziplinären Gruppen auf dem Gebiet der angewandten Mathematik und Strömungsmechanik, bevor er 1994 seine Forschungs- und Lehrtätigkeit an der TU Berlin begann. Von Prof. Dr. Günter Bärwolff ist im gleichen Verlag außerdem erschienen: Höhere Mathematik für Naturwissenschaftler und Ingenieure (4. Auflage).
Prof. Dr. Caren Tischendorf lehrt und forscht in der Angewandten Mathematik an der Humboldt-Universität zu Berlin und dem Berliner Forschungszentrum MATH+. Ihre Schwerpunkte liegen in der Modellierung und numerischen Simulation von Prozessen auf Netzwerken in den Bereichen Elektronik, Energie und Zelldynamik.
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