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This graduate level textbook covers the topics of sound waves, water waves and stability problems in fluids. It also touches upon the subject of chaos which is related to stability problems. It aims to lead students in an accessible and efficient way to this important subject area in fluid mechanics and applied mathematics. The emphasis is on gaining an understanding of the essential features of the subject matter, thus often ignoring complicating details which may confuse non-experts. The topics chosen also reflect the personal bias and research activity of the authors.
This volume brings together articles on the mathematical aspects of life sciences, astrophysics, and nonlinear wave problems. It covers theoretical problems associated with the nervous system, drosophila embryos, protein folding, biopolymers, protoplanetary disks and extrasolar planets, gaseous disks, spiral galaxies, dark matter dynamics, star formation, solitary waves, photonics, and nonlinear light propagation in periodic media. The contributions are written for a general audience, and the authors have included references for further reading.
Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world...
Professor Kerson Huang was a well respected theoretical physicist, who was also well versed in English and Chinese literature. He was born in Nanning, China, on 15 March 1928, and he was a fellow at the IAS, Princeton, from 1955-1957 before joining the faculty of MIT. He remained there until he retired from teaching in 1999. His research in theoretical physics included works on Bose-Einstein condensation and quantum field theory. In his long and illustrious career, Prof. Huang has worked with many prominent physicists. In 1957, he published a theory known as the hard-sphere model for Bose gases with Nobel Laureates Chen-Ning Yang and Tsung-Dao Lee. With Noble Laureate Steven Weinberg, he stu...