The engineering relevance of Acoustics

声学研究的数学要求是广泛的：从偏微分方程的解到数字信号处理的方法。一些数学基础是涵盖了本科数学工程师，但许多重要的议题，如绿色的功能方法，渐近方法，积分变换和变分法以外的典型工程数学教学大纲。大多数声学研究人员没有机会获得硕士课程，以扩大他们的研究生学习。因此，在本科阶段教授的基本数学方法往往是通过个人研究人员的独立学习来推进的。他们在“需要知道”的基础上发展他们的数学技能，而不是在他们的研究生涯开始时意识到先进数学工具的潜力。从以前的两个支持数学声学研究培训暑期学校的反馈表明，他们已经成功。建议在2007年建立第三所这样的学校，最多可容纳40名学员。学校将包括一个密集的5天，具有高导师/学生比例，致力于由分级教程和计算实验室课程支持的数学主题讲座。该课程将利用马修·赖特编辑的《声学数学讲义》一书，并将邀请从以前的SMART学校获得良好学生满意度的讲师。

The mathematical demands of acoustics research are wide: ranging from solution of partial differential equations to the methods of digital signal processing. Some of the mathematical basics are covered by undergraduate mathematics for engineers but many important topics such as Green's function methods, asymptotic methods, integral transforms and variational calculus lie outside the typical engineering mathematics syllabus. Most researchers in acoustics do not have access to master level courses to broaden their postgraduate study. Consequently, the fundamental mathematical methodologies taught at undergraduate level are often advanced through independent learning by individual researchers. They develop their mathematical skills on a 'need-to-know' basis rather than being made aware of the potential of advanced mathematical tools at the onset of their research career. Feedback from two previous Support Mathematics for Acoustics Research Training Summer Schools suggests that they have been successful. It is proposed to mount a third such school in 2007 for up to 40 attendees. The School will consist of an intensive 5 days, with a high tutor/student ratio, devoted to lectures on mathematical topics supported by graded tutorials and computing laboratory classes. The course will make use of a book Lecture Notes for the Mathematics of Acoustics edited by Matthew Wright and will feature Lecturers who have the benefit of experience from the previous SMART Schools where they achieved good levels of student satisfaction.