This book aims to give a thorough grounding in the mathematical tools necessary for research in acoustics. Twelve authors, all highly-respected researchers in the field of acoustics, provide a comprehensive introduction to mathematical analysis and its applications in acoustics, through material developed for a summer school in mathematics for acoustics researchers funded by the UK Engineering and Physical Sciences Research Council.Mathematical Methods, Wave Motion, Aeroacoustics and Signal Processing are covered in fourteen chapters by authors including Keith Attenborough (Hull), John Chapman (Keele), Trevor Cox (Salford), Chris Linton and Maureen McIver (Loughborough), and Nigel Peake (Cambridge). There are worked examples, exercises and suggestions for further reading where appropriate. This book is suitable for advanced undergraduate and graduate courses in acoustics and will form an important reference source for researchers in the field.Contents:Mathematical Methods:Vector Calculus (J W Elliott)Functions of a Complex Variable (J W Elliott)Integral Transforms (J W Elliott)Asymptotic Expansion of Integrals (R H Self)Wave Motion:The Wiener–Hopf Technique (M C M Wright)Waveguides (M McIver & C M Linton)Wavefield Decomposition (M C M Wright)Acoustics of Rigid–Porous Materials (K Attenborough & O Umnova)Aeroacoustics:Generalised Functions in Aeroacoustics (N Peake)Monopoles, Dipoles, and Quadrupoles (C J Chapman)Corrugated Pipe Flow (J W Elliott)Signal Processing:Digital Filters (P J Duncan)Measurement of Linear Time-Invariant Systems (T J Cox & P Darlington)Numerical Optimisation (T J Cox & P Darlington)Readership: Graduate students, advanced undergraduate students, researchers in mechanical engineering and mathematical physics.