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Differentialgleichungen und Mathematische Modellbildung
Eine praxisnahe Einführung unter Berücksichtigung der Symmetrie-Analyse
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Translated by:
Language:
German
Published/Copyright:
2018
About this book
This textbook explains Lie groups and their use in solving differential equations. It covers ordinary and partial differential equations of various orders, allowing the reader to select particular examples. The modular and easily understandable structure makes the book ideal for students and researchers who are working with mathematical models.
- Präsentiert Lie-Gruppen und deren Anwendung zur Lösung von Differentialgleichungen.
- Praxisbezogener Ansatz der mathematischen Ableitungen.
- Modularer "Pick & Choose" Aufbau – für jeden Leser etwas dabei.
Author / Editor information
Nail H. Ibragimov, Blekinge Institute of Technology, Sweden; Jörg Volkmann, Germany.
Reviews
"This textbook presents a successful introduction into the topic of ordinary differential equations as well as partial differential equations. Furthermore, it gives a good survey about mathematical modeling. [...] The book is a nice and important complement to the large market of PDE textbooks. It can be recommended to each graduate or PhD student working in the eld of PDE or mathematical modeling."
Jürgen Socolowsky in: Zentralblatt MATH 1387
Jürgen Socolowsky in: Zentralblatt MATH 1387
Topics
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Frontmatter
I -
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Vorwort zur deutschen Auflage
V -
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Vorwort zur dritten Auflage
VII -
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Vorwort zur zweiten Auflage
IX -
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Vorwort zur ersten Auflage
X -
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Inhalt
XIII -
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1. Ausgewählte Kapitel der Analysis
1 -
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2. Mathematische Modelle
46 -
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3. Gewöhnliche Differentialgleichungen, traditionelle Lösungsmethoden
93 -
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4. Partielle Differentialgleichungen erster Ordnung
138 -
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5. Lineare partielle Differentialgleichungen zweiter Ordnung
151 -
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6. Nichtlineare gewöhnliche Differentialgleichungen
184 -
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7. Nichtlineare Partielle Differentialgleichungen
259 -
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8. Verallgemeinerte Funktionen oder Distributionen
294 -
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9. Invarianzprinzip und Fundamentallösung
310 -
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Lösungen
331 -
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Literatur
343 -
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Stichwortverzeichnis
345
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 18, 2017
eBook ISBN:
9783110495522
Paperback published on:
December 19, 2017
Paperback ISBN:
9783110495324
Pages and Images/Illustrations in book
Front matter:
20
Main content:
358
Illustrations:
20
Tables:
10
Audience(s) for this book
Bachelor und Master Studenten in Mathematik, Physik, Materialwissenschaften und Ingenieurwissenschaften; Ingenieure.
Safety & product resources
- Manufacturer information:
- Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin - productsafety@degruyterbrill.com
