The Foundations of Acoustics

1. Front Matter

   Pages I-XXVIII

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2. Historical Introduction

   • Eugen Skudrzyk

   Pages 1-5

3. Equations and Units

   • Eugen Skudrzyk

   Pages 6-16

4. Complex Notation and Symbolic Methods

   • Eugen Skudrzyk

   Pages 17-32

5. Analytic Functions: Their Integration and the Delta Function

   • Eugen Skudrzyk

   Pages 33-77

6. Fourier Analysis

   • Eugen Skudrzyk

   Pages 78-94

7. Advanced Fourier Analysis

   • Eugen Skudrzyk

   Pages 95-122

8. The Laplace Transform

   • Eugen Skudrzyk

   Pages 123-130

9. Integral Transforms and the Fourier Bessel Series

   • Eugen Skudrzyk

   Pages 131-136

10. Correlation Analysis

    • Eugen Skudrzyk

    Pages 137-148

11. Wiener’s Generalized Harmonic Analysis

    • Eugen Skudrzyk

    Pages 149-151

12. Transmission Factor, Filters, and Transients (Küpfmüller’s Theory)

    • Eugen Skudrzyk

    Pages 152-200

13. Probability Theory, Statistics, and Noise

    • Eugen Skudrzyk

    Pages 201-235

14. Signals and Signal Processing

    • Eugen Skudrzyk

    Pages 236-269

15. Sound

    • Eugen Skudrzyk

    Pages 270-283

16. The One-Dimensional Wave Equation and Its Solutions

    • Eugen Skudrzyk

    Pages 284-294

17. Reflection and Transmission of Plane Waves at Normal Incidence

    • Eugen Skudrzyk

    Pages 295-312

18. Plane Waves in Three Dimensions

    • Eugen Skudrzyk

    Pages 313-325

19. Sound Propagation in Ideal Channels and Tubes

    • Eugen Skudrzyk

    Pages 326-343

20. Spherical Waves, Sources, and Multipoles

    • Eugen Skudrzyk

    Pages 344-377

Research and scientific progress are based upqn intuition coordinated with a wide theoretical knowledge, experimental skill, and a realistic sense of the limitations of technology. Only a deep insight into physical phenomena will supply the necessary skills to handle the problems that arise in acoustics. The acoustician today needs to be well acquainted with mathematics, dynamics, hydrodynamics, and physics; he also needs a good knowledge of statistics, signal processing, electrical theory, and of many other specialized subjects. Acquiring this background is a laborious task and would require the study of many different books. It is the goal of this volume to present this background in as thorough and readable a manner as possible so that the reader may turn to specialized publications or chapters of other books for further information without having to start at the preliminaries. In trying to accomplish this goal, mathematics serves only as a tool; the better our understanding of a physical phenomenon, the less mathematics is needed and the shorter and more concise are our computa tions. A word about the choice of subjects for this volume will be helpful to the reader. Even scientists of high standing are frequently not acquainted with the fundamentals needed in the field of acoustics. Chapters I to IX are devoted to these fundamentals. After studying Chapter I, which dis­ cusses the units and their relationships, the reader should have no difficulty converting from one system of units to any other.

• acoustics

“This book provides a comprehensive treatment of a number of topics in acoustics and the mathematics of acoustics. It is well organized and clearly written. It clearly leans heavily to the mathematics … . In summary, I would say that this is an excellent foundation for the mathematics of acoustics and a great reference for the mathematics applicable to particular problems in acoustics.” (James K. Thompson, Noise News International, Vol. 24 (4), December, 2016)

• Ordnance Research Laboratory and Physics Department, The Pennsylvania State University, University Park, USA

  Eugen Skudrzyk

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