The theory of water waves has been a source of intriguing and often difficult mathematical problems for at least 150 years. Virtually every classical mathematical technique appears somewhere within its confines. Beginning with the introduction of the appropriate equations of fluid mechanics, the opening chapters of this text consider the classical problems in linear and non-linear water-wave theory. This sets the ground for a study of more modern aspects, problems that give rise to soliton-type equations. The book closes with an introduction to the effects of viscosity. All the mathematical developments are presented in the most straightforward manner, with worked examples and simple cases carefully explained. Exercises, further reading, and historical notes on some of the important characters in the field round off the book and help to make this an ideal text for a beginning graduate course on water waves.
WAVES Our Waves: a long body of insight, to roll around in your head, an awareness that can break into a deeper understanding of the relationship between life and death. Life is a simple game/ There are no winners, no losers/ Everyone comes away from it like they came into it: Naked Life: Naked In; Naked Out A Quote & Question Book In a Q & Q book some of the quotes are followed by a question about the quote. It's a three-stage learning process. In the first stage, we read the quote, in the second phase we ask ourselves the question following the quote, and in the third phase we write the answer down. Each stage building on the latter, each stage reinforcing the other thereby helping you understand, helping you comprehend the quote's message.
2 Concept ( Tools * Specification ( Tools + Design Stages ( Tools * Implementation ( Tools Figure 1-1. A nominal, multi-stage development process From that beginning, we have progressed to the point where the EDA community at large, including both users and developers of the tools, are interested in more unified environments. Here, the notion is that the tools used at the various stages in the development process need to be able to complement each other, and to communicate with one another efficiently using effective file exchange capabilities. Furthermore, the idea of capturing all the tool support needed for an EDA development into a unified support environment is now becoming a reality. This reality is evidenced by some of the EDA suites we now see emerging, wherein several tool functions are integrated under a common graphical user interface (GUI), with supporting file exchange and libraries to enable all tool functions to operate effectively and synergistically. This concept, which we illustrate in Figure 1- 2, is the true future ofEDA.
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