Symmetry analysis based on Lie group theory is the most important method for solving nonlinear problems aside from numerical computation. The method can be used to find the symmetries of almost any system of differential equations and the knowledge of these symmetries can be used to reduce the complexity of physical problems governed by the equations. This is a broad, self-contained, introduction to the basics of symmetry analysis for first and second year graduate students in science, engineering and applied mathematics. Mathematica-based software for finding the Lie point symmetries and Lie-Bäcklund symmetries of differential equations is included on a CD along with more than forty sample notebooks illustrating applications ranging from simple, low order, ordinary differential equations to complex systems of partial differential equations. MathReader 4.0 is included to let the user read the sample notebooks and follow the procedure used to find symmetries.
The essential biography of the influential and beloved filmmaker George Lucas. On May 25, 1977, a problem-plagued, budget-straining independent science-fiction film opened in a mere thirty-two American movie theaters. Conceived, written, and directed by a little-known filmmaker named George Lucas, the movie originally called The Star Wars quickly drew blocks-long lines, bursting box-office records and ushering in a new way for movies to be made, marketed, and merchandised. It is now one of the most adored-and successful-movie franchises of all time. Now, the author of the bestselling biography Jim Henson delivers a long-awaited, revelatory look into the life and times of the man who created Luke Skywalker, Han Solo, and Indiana Jones. If Star Wars wasn't game-changing enough, Lucas went on to create another blockbuster series with Indiana Jones, and he completely transformed the world of special effects and the way movies sound. His innovation and ambition forged Pixar and Lucasfilm, Industrial Light & Magic, and THX sound. Lucas's colleagues and competitors offer tantalizing glimpses into his life. His entire career has been stimulated by innovators including Steven Spielberg and Francis Ford Coppola, actors such as Harrison Ford, and the very technologies that enabled the creation of his films-and allowed him to keep tinkering with them long after their original releases. Like his unforgettable characters and stories, his influence is unmatched.
5-Hydroxytryptamine-3 Receptor Antagonists provides a comprehensive, authoritative review of the topic featuring contributions by recognized leaders in the field. The book's three sections cover compound discovery and activity rationalization, the use of compounds for studying 5-HT3 receptors, and their applications to therapeutics. This book will be an important reference for oncologists, researchers working with the CNS and gastrointestinal disorders, and anyone working in the 5-HT field within the pharmaceutical arena, academia, and medical practice.
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