The engineering relevance of Acoustics

声学研究的数学要求是广泛的：从偏微分方程组的解到数字信号处理的方法。工程师的本科数学课程涵盖了一些数学基础知识，但许多重要的课题，如格林函数方法、渐近方法、积分变换和变分，都不在典型的工程数学教学大纲中。大多数声学研究人员没有机会通过硕士课程来拓宽他们的研究生学习范围。因此，在本科阶段教授的基本数学方法往往是通过个别研究人员的自主学习来提高的。他们在需要了解的基础上发展自己的数学技能，而不是在研究生涯开始时就意识到先进数学工具的潜力。从之前两个声学研究数学支持培训暑期学校的反馈来看，他们已经取得了成功。计划在2007年开办第三所这样的学校，最多可容纳40名学员。该学院将由5天的密集课程组成，高师生比，致力于数学主题的讲座，并由分级教程和计算实验室课程提供支持。该课程将利用马修·赖特主编的《声学数学讲义》一书，讲师将受益于以前的智能学校的经验，在那里他们取得了良好的学生满意度。

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.