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"It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology." - Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial di?erential equations. That decision is a wise one; the laws of nature are written in the language of partial di?erential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the ?eld. We assume only that you are familiar with - sic calculus and elementary linear algebra. Some experience with ordinary di?erential equations would also be an advantage. Introductory courses in partial di?erential equations are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to - rive exact solutions of some simpli?ed problems. Students who learn about viii Preface computational techniques on other courses subsequently realize the scope of partial di?erential equations beyond paper and pencil.
"In den gängigen Standard-Softwaresystemen der Produktionsplanung und -steuerung bzw. der Beschaffung und Materialwirtschaft wird dem Flexibilitätsgedanken im Rahmen der Losgrößenplanung bisher nur unzureichend Rechnung getragen...ein neues Losgrößenverfahren, das eine flexiblere Einbeziehung der betrieblichen Wirklichkeit ermöglicht.... Der neue Ansatz ermöglicht im Gegensatz zu den bekannten dynamischen Algorithmen das Anzeigen von Mehrfachlösungen sowie das Abrufen der nächstbesten Lösung und unterstützt eine interaktive Losgrößenbestimmung in Dialogform mit dem Disponenten... Im Hinblick auf den praktischen Einsatz des Verfahrens ist insbesondere die gesteigerte Flexibilität bei Einbeziehung der nachgelagerten Produktionsplanungs- und -steuerungsmodule hervorzuheben. Insgesamt lässt sich resümieren, dass es Francois mit seiner Arbeit gelungen ist, einen methodisch bemerkenswerten wissenschaftlichen Beitrag zur Losgrößenplanung zu leisten. Durch die sehr sorgfältige und anschauliche Darstellungsweise dürfte das Buch einen breiten Leserkreis ansprechen...bleibt zu hoffen, dass der Verfahrensansatz von Francois bei der Weiterentwicklung von Standard-Softwaresystemen der Produktionsplanung und -steuerung beziehungsweise der Beschaffung und Materialwirtschaft adäquat berücksichtigt wird, so dass die vom Autor aufgezeigten Mängel im Rahmen der Losgrößenplanung bei den bestehenden Systemen mittelfristig eliminiert werden." Dipl.-Kfm. K.-P.; Urban, zfbf 53 (März 2001)
From the reviews:
"Presents an introductory course to study partial differential equations especially from the computational point of view. ... At the end of each chapter the reader can find a very good selection of fine exercises or projects ... . The language of the book is simple and easy to read which will be highly appreciated by its readers. The book can be very useful for undergraduate and graduate students in mathematics and engineering." (Angela Handlovicová, Zentralblatt MATH, 1063, 2005)
"Presents an introductory course to study partial differential equations especially from the computational point of view. ... At the end of each chapter the reader can find a very good selection of fine exercises or projects ... . The language of the book is simple and easy to read which will be highly appreciated by its readers. The book can be very useful for undergraduate and graduate students in mathematics and engineering." (Angela Handlovicová, Zentralblatt MATH, 1063, 2005)