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Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.
What if...? What if the South had won the American Civil War? What
might the world look like in 2013 if, in 1863, the Confederated
States of America won the Civil War? These issues are considered in
the action-adventure time-travel thriller "Travelers of the Gray
Dawn." This fast moving, movie-like story has been said to be as if
"Cold Mountain" meets "Back to the Future" with a little "National
Treasure" thrown in for the "fun factor." Join three modern day
Civil War reenactors who begin their morning at the 150th
Anniversary reenactment of The Battle of Gettysburg, and
accidentally stumble through time and space finding themselves in a
world that seems familiar in some ways, but is very different in
others. This novel, from freelance journalist Paul Grimshaw, takes
aim as part cautionary tale, part mystery, and part cops &
robbers with a love story at its heart.
The International Society for the Interaction of Mechanics and
Mathematics has a long-standing and respected tradition of hosting
symposia that provide a forum for disseminating new developments
and methods. Trends in Applications of Mathematics to Mechanics
represents the proceedings of the eleventh such symposium, held at
the University of Nice in May 1998.
Comprising invited lectures and refereed papers, this volume
includes recent results that open perspectives on fields in
mechanics and their methodological counterparts in mathematics. It
also surveys important advances in the areas where mathematics and
mechanics interact. The applications addressed include:
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