Lecture notes on the mathematics of acoustics /:
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 dev...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
London :
Imperial College Press,
©2005.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | 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. |
| Item Description: | Based on lectures given at a one week summer school held at the University of Southampton, July 2003. |
| Physical Description: | 1 online resource (xviii, 288 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 1860946550 9781860946554 9781860944963 1860944965 |
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| 245 | 0 | 0 | |a Lecture notes on the mathematics of acoustics / |c edited by M.C.M. Wright. |
| 260 | |a London : |b Imperial College Press, |c ©2005. | ||
| 300 | |a 1 online resource (xviii, 288 pages) : |b illustrations | ||
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| 500 | |a Based on lectures given at a one week summer school held at the University of Southampton, July 2003. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Preface; Contents; Part I Mathematical Methods; Chapter 1 Vector Calculus; 1.1 Motivation; 1.2 Scalars and Vectors; 1.3 Vector and Scalar Functions; 1.4 Curves and Surfaces in 3-D Space; 1.5 Curvilinear Coordinate Systems; 1.6 Integrals; 1.7 Integral Theorems; 1.8 Suffix Notation; Problems; Chapter 2 Functions of a Complex Variable; 2.1 Complex Numbers; 2.2 Functions of a Complex Variable; 2.3 Contour Integration; 2.4 Power Series Expansions; 2.5 Residue Theory; 2.6 Analytic Continuation; Problems; Chapter 3 Integral Transforms; 3.1 The Laplace Transform; 3.2 The Inversion Theorem. | |
| 505 | 8 | |a 3.3 Fourier Series3.4 The Fourier Transform; 3.5 The Heat Conduction Equation; 3.6 The Wave Equation; Problems; Chapter 4 Asymptotic Expansion of Integrals; 4.1 Introduction; 4.2 Two Elementary Methods; 4.3 Method of Laplace; 4.4 Method of Stationary Phase; 4.5 Method of Steepest Descents; Further Reading; Problems; Part II Wave Motion; Chapter 5 The Wiener-Hopf Technique; 5.1 Introduction; 5.2 Rigid Screen Diffraction; 5.3 The General Wiener-Hopf Equation; 5.4 A Systematic Decomposition Procedure; 5.5 Summary; References; Chapter 6 Waveguides; 6.1 Basic Theory; 6.2 Eigenfunction Expansions. | |
| 505 | 8 | |a 6.3 An Abrupt Change in Boundary Condition6.4 Complex Variable Methods; Further Reading; Problems; Chapter 7 Wavefield Decomposition; 7.1 Introduction; 7.2 Wavefields; 7.3 Two-Dimensional Representation; 7.4 Extension to Three Dimensions; 7.5 Angular Representation; 7.6 Solution to Original Problem; References; Problems; Chapter 8 Acoustics of Rigid-Porous Materials; 8.1 Introduction; 8.2 Wave Equations; 8.3 Impedance; 8.4 Analysis for a Single Slit; 8.5 Analysis for a Bulk Absorber; 8.6 Comparisons with Data and Nonlinear Aspects; 8.7 Conclusions; Acknowledgements; References. | |
| 505 | 8 | |a Part III AeroacousticsChapter 9 Generalised Functions in Aeroacoustics; 9.1 Introduction; 9.2 Application in Aeroacoustics; 9.3 Fourier Transforms; Further Reading; Problems; Chapter 10 Monopoles, Dipoles, and Quadrupoles; 10.1 Introduction; 10.2 The Three-Dimensional Wave Equation; 10.3 The Three-Dimensional Convected Wave Equation; 10.4 The Two-Dimensional Wave Equation; 10.5 The Two-Dimensional Convected Wave Equation; 10.6 Conclusion; References; Problems; Chapter 11 Corrugated Pipe Flow; 11.1 The Problem; 11.2 Pipe Flow; 11.3 Cummings's Corrugated Model; 11.4 Further Thoughts. | |
| 505 | 8 | |a Part IV Signal ProcessingChapter 12 Digital Filters; 12.1 Mathematical Overview; 12.2 Fourier Transform; 12.3 Impulse Response and Frequency Response; 12.4 Convolution Principle; 12.5 Dirac Delta Functions and Sifting Property; 12.6 Laplace Transform Analysis; 12.7 Digital Filters; 12.8 Summary; Further Reading; Chapter 13 Measurement of Linear Time-Invariant Systems; 13.1 Introduction; 13.2 Estimating Statistics Using Fourier Methods; 13.3 Maximum Length Sequences; 13.4 Practical; Further Reading; Chapter 14 Numerical Optimisation; 14.1 Introduction; 14.2 Genetic Algorithms. | |
| 520 | |a 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. | ||
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| contents | Preface; Contents; Part I Mathematical Methods; Chapter 1 Vector Calculus; 1.1 Motivation; 1.2 Scalars and Vectors; 1.3 Vector and Scalar Functions; 1.4 Curves and Surfaces in 3-D Space; 1.5 Curvilinear Coordinate Systems; 1.6 Integrals; 1.7 Integral Theorems; 1.8 Suffix Notation; Problems; Chapter 2 Functions of a Complex Variable; 2.1 Complex Numbers; 2.2 Functions of a Complex Variable; 2.3 Contour Integration; 2.4 Power Series Expansions; 2.5 Residue Theory; 2.6 Analytic Continuation; Problems; Chapter 3 Integral Transforms; 3.1 The Laplace Transform; 3.2 The Inversion Theorem. 3.3 Fourier Series3.4 The Fourier Transform; 3.5 The Heat Conduction Equation; 3.6 The Wave Equation; Problems; Chapter 4 Asymptotic Expansion of Integrals; 4.1 Introduction; 4.2 Two Elementary Methods; 4.3 Method of Laplace; 4.4 Method of Stationary Phase; 4.5 Method of Steepest Descents; Further Reading; Problems; Part II Wave Motion; Chapter 5 The Wiener-Hopf Technique; 5.1 Introduction; 5.2 Rigid Screen Diffraction; 5.3 The General Wiener-Hopf Equation; 5.4 A Systematic Decomposition Procedure; 5.5 Summary; References; Chapter 6 Waveguides; 6.1 Basic Theory; 6.2 Eigenfunction Expansions. 6.3 An Abrupt Change in Boundary Condition6.4 Complex Variable Methods; Further Reading; Problems; Chapter 7 Wavefield Decomposition; 7.1 Introduction; 7.2 Wavefields; 7.3 Two-Dimensional Representation; 7.4 Extension to Three Dimensions; 7.5 Angular Representation; 7.6 Solution to Original Problem; References; Problems; Chapter 8 Acoustics of Rigid-Porous Materials; 8.1 Introduction; 8.2 Wave Equations; 8.3 Impedance; 8.4 Analysis for a Single Slit; 8.5 Analysis for a Bulk Absorber; 8.6 Comparisons with Data and Nonlinear Aspects; 8.7 Conclusions; Acknowledgements; References. Part III AeroacousticsChapter 9 Generalised Functions in Aeroacoustics; 9.1 Introduction; 9.2 Application in Aeroacoustics; 9.3 Fourier Transforms; Further Reading; Problems; Chapter 10 Monopoles, Dipoles, and Quadrupoles; 10.1 Introduction; 10.2 The Three-Dimensional Wave Equation; 10.3 The Three-Dimensional Convected Wave Equation; 10.4 The Two-Dimensional Wave Equation; 10.5 The Two-Dimensional Convected Wave Equation; 10.6 Conclusion; References; Problems; Chapter 11 Corrugated Pipe Flow; 11.1 The Problem; 11.2 Pipe Flow; 11.3 Cummings's Corrugated Model; 11.4 Further Thoughts. Part IV Signal ProcessingChapter 12 Digital Filters; 12.1 Mathematical Overview; 12.2 Fourier Transform; 12.3 Impulse Response and Frequency Response; 12.4 Convolution Principle; 12.5 Dirac Delta Functions and Sifting Property; 12.6 Laplace Transform Analysis; 12.7 Digital Filters; 12.8 Summary; Further Reading; Chapter 13 Measurement of Linear Time-Invariant Systems; 13.1 Introduction; 13.2 Estimating Statistics Using Fourier Methods; 13.3 Maximum Length Sequences; 13.4 Practical; Further Reading; Chapter 14 Numerical Optimisation; 14.1 Introduction; 14.2 Genetic Algorithms. |
| ctrlnum | (OCoLC)63193430 |
| dewey-full | 534.0151 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 534 - Sound and related vibrations |
| dewey-raw | 534.0151 |
| dewey-search | 534.0151 |
| dewey-sort | 3534.0151 |
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| discipline | Physik |
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Wright.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">London :</subfield><subfield code="b">Imperial College Press,</subfield><subfield code="c">©2005.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xviii, 288 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">data file</subfield><subfield code="2">rda</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Based on lectures given at a one week summer school held at the University of Southampton, July 2003.</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Preface; Contents; Part I Mathematical Methods; Chapter 1 Vector Calculus; 1.1 Motivation; 1.2 Scalars and Vectors; 1.3 Vector and Scalar Functions; 1.4 Curves and Surfaces in 3-D Space; 1.5 Curvilinear Coordinate Systems; 1.6 Integrals; 1.7 Integral Theorems; 1.8 Suffix Notation; Problems; Chapter 2 Functions of a Complex Variable; 2.1 Complex Numbers; 2.2 Functions of a Complex Variable; 2.3 Contour Integration; 2.4 Power Series Expansions; 2.5 Residue Theory; 2.6 Analytic Continuation; Problems; Chapter 3 Integral Transforms; 3.1 The Laplace Transform; 3.2 The Inversion Theorem.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">3.3 Fourier Series3.4 The Fourier Transform; 3.5 The Heat Conduction Equation; 3.6 The Wave Equation; Problems; Chapter 4 Asymptotic Expansion of Integrals; 4.1 Introduction; 4.2 Two Elementary Methods; 4.3 Method of Laplace; 4.4 Method of Stationary Phase; 4.5 Method of Steepest Descents; Further Reading; Problems; Part II Wave Motion; Chapter 5 The Wiener-Hopf Technique; 5.1 Introduction; 5.2 Rigid Screen Diffraction; 5.3 The General Wiener-Hopf Equation; 5.4 A Systematic Decomposition Procedure; 5.5 Summary; References; Chapter 6 Waveguides; 6.1 Basic Theory; 6.2 Eigenfunction Expansions.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">6.3 An Abrupt Change in Boundary Condition6.4 Complex Variable Methods; Further Reading; Problems; Chapter 7 Wavefield Decomposition; 7.1 Introduction; 7.2 Wavefields; 7.3 Two-Dimensional Representation; 7.4 Extension to Three Dimensions; 7.5 Angular Representation; 7.6 Solution to Original Problem; References; Problems; Chapter 8 Acoustics of Rigid-Porous Materials; 8.1 Introduction; 8.2 Wave Equations; 8.3 Impedance; 8.4 Analysis for a Single Slit; 8.5 Analysis for a Bulk Absorber; 8.6 Comparisons with Data and Nonlinear Aspects; 8.7 Conclusions; Acknowledgements; References.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Part III AeroacousticsChapter 9 Generalised Functions in Aeroacoustics; 9.1 Introduction; 9.2 Application in Aeroacoustics; 9.3 Fourier Transforms; Further Reading; Problems; Chapter 10 Monopoles, Dipoles, and Quadrupoles; 10.1 Introduction; 10.2 The Three-Dimensional Wave Equation; 10.3 The Three-Dimensional Convected Wave Equation; 10.4 The Two-Dimensional Wave Equation; 10.5 The Two-Dimensional Convected Wave Equation; 10.6 Conclusion; References; Problems; Chapter 11 Corrugated Pipe Flow; 11.1 The Problem; 11.2 Pipe Flow; 11.3 Cummings's Corrugated Model; 11.4 Further Thoughts.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Part IV Signal ProcessingChapter 12 Digital Filters; 12.1 Mathematical Overview; 12.2 Fourier Transform; 12.3 Impulse Response and Frequency Response; 12.4 Convolution Principle; 12.5 Dirac Delta Functions and Sifting Property; 12.6 Laplace Transform Analysis; 12.7 Digital Filters; 12.8 Summary; Further Reading; Chapter 13 Measurement of Linear Time-Invariant Systems; 13.1 Introduction; 13.2 Estimating Statistics Using Fourier Methods; 13.3 Maximum Length Sequences; 13.4 Practical; Further Reading; Chapter 14 Numerical Optimisation; 14.1 Introduction; 14.2 Genetic Algorithms.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Sound</subfield><subfield code="x">Mathematics</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">SCIENCE</subfield><subfield code="x">Acoustics & Sound.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Sound</subfield><subfield code="x">Mathematics</subfield><subfield code="2">fast</subfield></datafield><datafield tag="653" ind1="1" ind2=" "><subfield code="a">Mathematics</subfield></datafield><datafield tag="653" ind1="1" ind2=" "><subfield code="a">Acoustics</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Conference papers and proceedings</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wright, M. 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| indexdate | 2025-04-11T08:35:41Z |
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| spelling | Lecture notes on the mathematics of acoustics / edited by M.C.M. Wright. London : Imperial College Press, ©2005. 1 online resource (xviii, 288 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Based on lectures given at a one week summer school held at the University of Southampton, July 2003. Includes bibliographical references and index. Print version record. Preface; Contents; Part I Mathematical Methods; Chapter 1 Vector Calculus; 1.1 Motivation; 1.2 Scalars and Vectors; 1.3 Vector and Scalar Functions; 1.4 Curves and Surfaces in 3-D Space; 1.5 Curvilinear Coordinate Systems; 1.6 Integrals; 1.7 Integral Theorems; 1.8 Suffix Notation; Problems; Chapter 2 Functions of a Complex Variable; 2.1 Complex Numbers; 2.2 Functions of a Complex Variable; 2.3 Contour Integration; 2.4 Power Series Expansions; 2.5 Residue Theory; 2.6 Analytic Continuation; Problems; Chapter 3 Integral Transforms; 3.1 The Laplace Transform; 3.2 The Inversion Theorem. 3.3 Fourier Series3.4 The Fourier Transform; 3.5 The Heat Conduction Equation; 3.6 The Wave Equation; Problems; Chapter 4 Asymptotic Expansion of Integrals; 4.1 Introduction; 4.2 Two Elementary Methods; 4.3 Method of Laplace; 4.4 Method of Stationary Phase; 4.5 Method of Steepest Descents; Further Reading; Problems; Part II Wave Motion; Chapter 5 The Wiener-Hopf Technique; 5.1 Introduction; 5.2 Rigid Screen Diffraction; 5.3 The General Wiener-Hopf Equation; 5.4 A Systematic Decomposition Procedure; 5.5 Summary; References; Chapter 6 Waveguides; 6.1 Basic Theory; 6.2 Eigenfunction Expansions. 6.3 An Abrupt Change in Boundary Condition6.4 Complex Variable Methods; Further Reading; Problems; Chapter 7 Wavefield Decomposition; 7.1 Introduction; 7.2 Wavefields; 7.3 Two-Dimensional Representation; 7.4 Extension to Three Dimensions; 7.5 Angular Representation; 7.6 Solution to Original Problem; References; Problems; Chapter 8 Acoustics of Rigid-Porous Materials; 8.1 Introduction; 8.2 Wave Equations; 8.3 Impedance; 8.4 Analysis for a Single Slit; 8.5 Analysis for a Bulk Absorber; 8.6 Comparisons with Data and Nonlinear Aspects; 8.7 Conclusions; Acknowledgements; References. Part III AeroacousticsChapter 9 Generalised Functions in Aeroacoustics; 9.1 Introduction; 9.2 Application in Aeroacoustics; 9.3 Fourier Transforms; Further Reading; Problems; Chapter 10 Monopoles, Dipoles, and Quadrupoles; 10.1 Introduction; 10.2 The Three-Dimensional Wave Equation; 10.3 The Three-Dimensional Convected Wave Equation; 10.4 The Two-Dimensional Wave Equation; 10.5 The Two-Dimensional Convected Wave Equation; 10.6 Conclusion; References; Problems; Chapter 11 Corrugated Pipe Flow; 11.1 The Problem; 11.2 Pipe Flow; 11.3 Cummings's Corrugated Model; 11.4 Further Thoughts. Part IV Signal ProcessingChapter 12 Digital Filters; 12.1 Mathematical Overview; 12.2 Fourier Transform; 12.3 Impulse Response and Frequency Response; 12.4 Convolution Principle; 12.5 Dirac Delta Functions and Sifting Property; 12.6 Laplace Transform Analysis; 12.7 Digital Filters; 12.8 Summary; Further Reading; Chapter 13 Measurement of Linear Time-Invariant Systems; 13.1 Introduction; 13.2 Estimating Statistics Using Fourier Methods; 13.3 Maximum Length Sequences; 13.4 Practical; Further Reading; Chapter 14 Numerical Optimisation; 14.1 Introduction; 14.2 Genetic Algorithms. 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. Sound Mathematics Congresses. SCIENCE Acoustics & Sound. bisacsh Sound Mathematics fast Mathematics Acoustics Conference papers and proceedings fast Wright, M. C. M. (Matthew C. M.) https://id.oclc.org/worldcat/entity/E39PCjGRQKj8fHpxdhFphy44Rq http://id.loc.gov/authorities/names/no2005019170 has work: Lecture notes on the mathematics of acoustics (Text) https://id.oclc.org/worldcat/entity/E39PCG73BQ4Wr6pvD8WVFjY6w3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Lecture notes on the mathematics of acoustics. London : Imperial College Press, ©2005 1860944965 (DLC) 2005280563 (OCoLC)57638571 |
| spellingShingle | Lecture notes on the mathematics of acoustics / Preface; Contents; Part I Mathematical Methods; Chapter 1 Vector Calculus; 1.1 Motivation; 1.2 Scalars and Vectors; 1.3 Vector and Scalar Functions; 1.4 Curves and Surfaces in 3-D Space; 1.5 Curvilinear Coordinate Systems; 1.6 Integrals; 1.7 Integral Theorems; 1.8 Suffix Notation; Problems; Chapter 2 Functions of a Complex Variable; 2.1 Complex Numbers; 2.2 Functions of a Complex Variable; 2.3 Contour Integration; 2.4 Power Series Expansions; 2.5 Residue Theory; 2.6 Analytic Continuation; Problems; Chapter 3 Integral Transforms; 3.1 The Laplace Transform; 3.2 The Inversion Theorem. 3.3 Fourier Series3.4 The Fourier Transform; 3.5 The Heat Conduction Equation; 3.6 The Wave Equation; Problems; Chapter 4 Asymptotic Expansion of Integrals; 4.1 Introduction; 4.2 Two Elementary Methods; 4.3 Method of Laplace; 4.4 Method of Stationary Phase; 4.5 Method of Steepest Descents; Further Reading; Problems; Part II Wave Motion; Chapter 5 The Wiener-Hopf Technique; 5.1 Introduction; 5.2 Rigid Screen Diffraction; 5.3 The General Wiener-Hopf Equation; 5.4 A Systematic Decomposition Procedure; 5.5 Summary; References; Chapter 6 Waveguides; 6.1 Basic Theory; 6.2 Eigenfunction Expansions. 6.3 An Abrupt Change in Boundary Condition6.4 Complex Variable Methods; Further Reading; Problems; Chapter 7 Wavefield Decomposition; 7.1 Introduction; 7.2 Wavefields; 7.3 Two-Dimensional Representation; 7.4 Extension to Three Dimensions; 7.5 Angular Representation; 7.6 Solution to Original Problem; References; Problems; Chapter 8 Acoustics of Rigid-Porous Materials; 8.1 Introduction; 8.2 Wave Equations; 8.3 Impedance; 8.4 Analysis for a Single Slit; 8.5 Analysis for a Bulk Absorber; 8.6 Comparisons with Data and Nonlinear Aspects; 8.7 Conclusions; Acknowledgements; References. Part III AeroacousticsChapter 9 Generalised Functions in Aeroacoustics; 9.1 Introduction; 9.2 Application in Aeroacoustics; 9.3 Fourier Transforms; Further Reading; Problems; Chapter 10 Monopoles, Dipoles, and Quadrupoles; 10.1 Introduction; 10.2 The Three-Dimensional Wave Equation; 10.3 The Three-Dimensional Convected Wave Equation; 10.4 The Two-Dimensional Wave Equation; 10.5 The Two-Dimensional Convected Wave Equation; 10.6 Conclusion; References; Problems; Chapter 11 Corrugated Pipe Flow; 11.1 The Problem; 11.2 Pipe Flow; 11.3 Cummings's Corrugated Model; 11.4 Further Thoughts. Part IV Signal ProcessingChapter 12 Digital Filters; 12.1 Mathematical Overview; 12.2 Fourier Transform; 12.3 Impulse Response and Frequency Response; 12.4 Convolution Principle; 12.5 Dirac Delta Functions and Sifting Property; 12.6 Laplace Transform Analysis; 12.7 Digital Filters; 12.8 Summary; Further Reading; Chapter 13 Measurement of Linear Time-Invariant Systems; 13.1 Introduction; 13.2 Estimating Statistics Using Fourier Methods; 13.3 Maximum Length Sequences; 13.4 Practical; Further Reading; Chapter 14 Numerical Optimisation; 14.1 Introduction; 14.2 Genetic Algorithms. Sound Mathematics Congresses. SCIENCE Acoustics & Sound. bisacsh Sound Mathematics fast |
| title | Lecture notes on the mathematics of acoustics / |
| title_auth | Lecture notes on the mathematics of acoustics / |
| title_exact_search | Lecture notes on the mathematics of acoustics / |
| title_full | Lecture notes on the mathematics of acoustics / edited by M.C.M. Wright. |
| title_fullStr | Lecture notes on the mathematics of acoustics / edited by M.C.M. Wright. |
| title_full_unstemmed | Lecture notes on the mathematics of acoustics / edited by M.C.M. Wright. |
| title_short | Lecture notes on the mathematics of acoustics / |
| title_sort | lecture notes on the mathematics of acoustics |
| topic | Sound Mathematics Congresses. SCIENCE Acoustics & Sound. bisacsh Sound Mathematics fast |
| topic_facet | Sound Mathematics Congresses. SCIENCE Acoustics & Sound. Sound Mathematics Conference papers and proceedings |
| work_keys_str_mv | AT wrightmcm lecturenotesonthemathematicsofacoustics |