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Komplexe Integration: Angewandte Funktionentheorie Für Naturwissenschaftler, Hrg. E. G. Tsitsishvili & A. Komnik
Paperback
ISBN13: 9783642417467
Publisher: Springer Spektrum
Published: Apr 14 2014
Pages: 293
Weight: 0.96
Height: 0.65 Width: 6.14 Depth: 9.21
Language: German
Die Funktionentheorie ist ein wunderschönes und au erordentlich mächtiges Gebiet der
Mathematik. Einige der sehr eindrucksvollen Beispiele dafür sind vermeintlich schwierige
Integrale, die sich nach einer Umformung zu Integralen entlang der Wege in der
komplexen Ebene mühelos berechnen lassen - sowie extrem komplizierte Differential- und
Integralgleichungen, die mit Hilfe ähnlicher Methoden sehr elegant gelöst werden können.
Manchmal ist die Anwendung dieser Techniken reine Routine, in vielen Fällen jedoch
grenzt sie an Kunst. Das Ziel dieses Buchs ist es, den Leser in dieses wunderbare Gebiet
der Mathematik einzuführen und ihm beizubringen, wie man am effizientesten die
Methoden der Funktionentheorie für die Bewältigung einer ganzen Palette verschiedener
Aufgaben einsetzt, von der Auswertung der Integrale bis zur Lösung komplizierter
Integralgleichungen. Dies wird anhand von sehr vielen Beispielen und Aufgaben mit
detaillierten Lösungen gemacht.
Alexander Gogolin wurde 1965 in Tbilisi (Georgien) geboren. Nach dem Absolvieren des
Physik-Studiums an der Staatlichen Lomonosov-Universität (Moskau, Russland)
verteidigte er 1991 seine Doktorarbeit am Lebedev-Institut für Physik (ebenfalls in Moskau,
Russland). Kurz danach wurde er zum wissenschaftlichen Mitarbeiter am renommierten
Landau-Institut für Theoretische Physik in Moskau. 1995 wanderte er nach Gro britannien
aus und wurde zum Professor für Mathematische Physik am Department of Mathematics
am Imperial College London. Alexander verstarb in London im April 2011.
Ellen Tsitsishvili ist 1941 in Tbilisi (Georgien) geboren und promovierte 1970 an der
Staatlichen Lomonosov-Universität (Moskau, Russland). Seit 1964 ist sie Professorin am
Institut für Kybernetik (Tbilisi, Georgien). Ihr Fachgebiet ist die Theorie der kondensierten
Materie. Seit vielen Jahren arbeitet sie in internationalen Kollaborationen mit den
Forschern der Scuola Normale (Pisa, Italien), Universität Strasbourg (Frankreich),
Weizmann Institute of Science (Israel), Center of Functional Nanostructures (Karlsruhe)
und Universität Kaiserslautern zusammen.
Andreas Komnik ist 1972 in Karaganda (Kasachstan) geboren und studierte Physik an der
Physikalisch-Technischen Hochschule (PhysTech) der Stadt Moskau (Russland) und
Universität Freiburg, wo er 1999 promovierte. Danach war er wissenschaftlicher
Mitarbeiter am Department of Mathematics des Imperial College London (Gro britannien)
und an der CEA Saclay in Frankreich. Zwischen 2008 und 2013 war er
Universitätsprofessor an der Universität Heidelberg. Seit 2013 ist er ein wissenschaftlicher
Mitarbeiter des FRIAS in Freiburg.
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