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Images of fluids in motion have served both scientific and artistic purposes at least since the time of Leonardo de Vinci over 500 years ago. The visualization of fluid flow has played a major role in the development of fluid dynamics and its technological and scientific applications, from the evolution of flight to the tracking of weather to understanding the flow of blood. Today, the Division of Fluid Dynamics of the American Physical Society annually sponsors a competition for outstanding images of fluid flow, judged by their artistic beauty and novelty and their contribution to the better understanding of fluid dynamics. This Gallery is a selection of the images that have won the competition over the last seventeen years. Each image is accompanied by some explanatory text, aimed at making the collection an attractive and essential work for everyone interested in the art and science of fluid flow.
Reproduction of the original.
This engaging text describes the development of singular perturbations, including its history, accumulating literature, and its current status. While the approach of the text is sophisticated, the literature is accessible to a broad audience. A particularly valuable bonus are the historical remarks. These remarks are found throughout the manuscript. They demonstrate the growth of mathematical thinking on this topic by engineers and mathematicians. The book focuses on detailing how the various methods are to be applied. These are illustrated by a number and variety of examples. Readers are expected to have a working knowledge of elementary ordinary differential equations, including some familiarity with power series techniques, and of some advanced calculus. Dr. O'Malley has written a number of books on singular perturbations. This book has developed from many of his works in the field of perturbation theory.
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" This is one of the most important books on quantum mechanics ever written for lay readers, in which an eminent physicist and successful science writer, Heinz Pagels, discusses and explains the core concepts of physics without resorting to complicated mathematics. "Can be read by anyone. I heartily recommend it!" -- New York Times Book Review. 1982 edition"--
The must-have compendium on applied mathematics This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on ...