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Elementary Fluid Dynamics

Author: D. J. Acheson
Publisher: Clarendon Press
ISBN: 0191059390
Size: 10.41 MB
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The study of the dynamics of fluids is a central theme of modern applied mathematics. It is used to model a vast range of physical phenomena and plays a vital role in science and engineering. This textbook provides a clear introduction to both the theory and application of fluid dynamics, and will be suitable for all undergraduates coming to the subject for the first time. Prerequisites are few: a basic knowledge of vector calculus, complex analysis, and simple methods for solving differential equations are all that is needed. Throughout, numerous exercises (with hints and answers) illustrate the main ideas and serve to consolidate the reader's understanding of the subject. The book's wide scope (including inviscid and viscous flows, waves in fluids, boundary layer flow, and instability in flow) and frequent references to experiments and the history of the subject, ensures that this book provides a comprehensive and absorbing introduction to the mathematical study of fluid behaviour.

Schl Sselkonzepte Zur Physik

Author: Klaus Lichtenegger
Publisher: Springer-Verlag
ISBN: 3827423856
Size: 23.83 MB
Format: PDF
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Dieses Buch behandelt zentrale Ideen und Konzepte aus den verschiedensten Bereichen der Physik, die in üblichen Darstellungen oft tief unter technischen Details begraben liegen. Zudem werden Themen diskutiert, die wegen ihrer Vielschichtigkeit in den Grundvorlesungen keinen angestammten Platz haben. Diese Schlüsselkonzepte werden jeweils in kurzen Essays und ohne formalen Ballast so dargestellt, dass das Wesentliche klar zum Vorschein kommt. Das Buch bietet damit gleichsam eine Landkarte und eine Schatzkiste für das weite Feld der Physik. Das Buch eignet sich sowohl für Studierende der Physik ab etwa dem dritten Semester und auch für Leser mit allgemeinem naturwissenschaftlich-mathematischem Hintergrund und besonderem Interesse an der Physik.

Computational Modeling In Biological Fluid Dynamics

Author: Lisa J. Fauci
Publisher: Springer Science & Business Media
ISBN: 1461301513
Size: 18.29 MB
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This IMA Volume in Mathematics and its Applications COMPUTATIONAL MODELING IN BIOLOGICAL FLUID DYNAMICS is based on the proceedings of a very successful workshop with the same title. The workshop was an integral part of the September 1998 to June 1999 IMA program on "MATHEMATICS IN BIOLOGY." I would like to thank the organizing committee: Lisa J. Fauci of Tulane University and Shay Gueron of Technion - Israel Institute of Technology for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda tion (NSF), whose financial support of the IMA made the Mathematics in Biology program possible. Willard Miller, Jr., Professor and Director Institute for Mathematics and its Applications University of Minnesota 400 Lind Hall, 207 Church St. SE Minneapolis, MN 55455-0436 612-624-6066, FAX 612-626-7370 [email protected] World Wide Web: v PREFACE A unifying theme in biological fluid dynamics is the interaction of moving, elastic boundaries with a surrounding fluid. A complex dynami cal system describes the motion of red blood cells through the circulatory system, the movement of spermatazoa in the reproductive tract, cilia of microorganisms, or a heart pumping blood. The revolution in computa tional technology has allowed tremendous progress in the study of these previously intractable fluid-structure interaction problems.

Mathematical Models In Applied Mechanics

Author: Alan B. Tayler
Publisher: Oxford University Press
ISBN: 9780198515593
Size: 10.42 MB
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Mathematical Models in Applied Mechanics is perfectly designed for final year undergraduate and graduate students. This textbook utilizes the power of mathematics in solving practical, scientific and technical problems through mathematical modeling techniques. Taken from real-life situations, the text includes twenty-one ordered problems, which gives students the ability to develop the skills necessary to create new situational models.