The Foundations of Acoustics Basic Mathematics and Basic Acoustics

The Foundations of Acoustics Basic Mathematics and Basic Acoustics / by Eugen Skudrzyk.

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 acous...

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Bibliographic Details
Main Author: Skudrzyk, Eugen (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Vienna : Springer Vienna : Imprint: Springer, 1971.
Edition:1st ed. 1971.
Series:Springer eBook Collection.
Subjects:
Physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Historical Introduction
  • I. Equations and Units
  • II. Complex Notation and Symbolic Methods
  • III. Analytic Functions: Their Integration and the Delta Function
  • IV. Fourier Analysis
  • V. Advanced Fourier Analysis
  • VI. The Laplace Transform
  • VII. Integral Transforms and the Fourier Bessel Series
  • VIII. Correlation Analysis
  • IX. Wiener’s Generalized Harmonic Analysis
  • X. Transmission Factor, Filters, and Transients (“Küpfmüller’s Theory”)
  • XI. Probability Theory, Statistics, and Noise
  • XII. Signals and Signal Processing
  • XIII. Sound
  • XIV. The One-Dimensional Wave Equation and Its Solutions
  • XV. Reflection and Transmission of Plane Waves at Normal Incidence
  • XVI. Plane Waves in Three Dimensions
  • XVII. Sound Propagation in Ideal Channels and Tubes
  • XVIII. Spherical Waves, Sources, and Multipoles
  • XIX. Solution of the Wave Equation in General Spherical Coordinates
  • XX. Problems of Practical Interest in General Spherical Coordinates
  • XXI. The Wave Equation in Cylindrical Coordinates and Its Applications
  • XXII. The Wave Equation in Spheroidal Coordinates and Its Solutions
  • XXIII. The Helmholtz Huygens Integral
  • XXIV. Huygens Principle and the Rubinowicz—Kirchhoff Theory of Diffraction
  • XXV. The Sommerfeld Theory of Diffraction
  • XXVI. Sound Radiation of Arrays and Membranes
  • XXVII. The Green’s Functions of the Helmholtz Equation and Their Applications
  • XXVIII. Self and Mutual Radiation Impedance
  • Tables
  • I. Elementary Functions
  • II. Trigonometric Functions
  • III. Hyperbolic Functions
  • IV. Harmonic and Hyperbolic Functions of Complex Argument
  • V. The Inverse Harmonic and Hyperbolic Functions
  • VI. Legendre Polynomials and Surface Harmonics
  • VII. The Solutions of the Wave Equation
  • VIII. Properties of the Bessel Functions
  • IX. Spheroidal Functions
  • X. The Gamma Function
  • XI. The Lommel Functions of Two Variables
  • References
  • 1. Early History of Acoustics
  • 1. Equations and Units
  • 2. Complex Notation and Symbolic Methods
  • 3. Analytic Functions; Their Integration and the Delta Function
  • Chapters 4, 5. Fourier Analysis
  • Chapters 6, 7. The Laplace Transform and Transform Theory
  • 8. Correlation and Correlation Analysis
  • 9. Wiener’s Generalized Harmonic Analysis
  • 10. Transmission Factors, Filters, and Transients
  • 11. Probability, Theory, Statistics, and Noise
  • 12. Signals and Signal Processing
  • Chapters 13 to 17. Sound and Simple Sound Fields; Transmission and Reflection; Channels
  • 16. Channels and Ducts. (See also Literature Chapters 20, 21.)
  • 17. Acoustic Impedances and Their Measurement
  • 17. Horns
  • 17. (Supplementary Literature.) Plates.
  • Chapters 18, 28. Radiation Impedance
  • 18. Simple Spherical Sound Propagation, Sources, Dipoles and Quadrupoles
  • 19. The Wave Equation in Spherical Coordinates and Its Solutions, Applications of the Theory
  • Chapters 20, 21. The Wave Equation in Cylindrical Coordinates and Its Applications (See also Literature Chapter 17.)
  • 22. The Wave Equation in Spheroidal Coordinates and Its Solutions
  • 23. The Helmholtz-Huygens Integral (See also Literature Chapters 24, 25.)
  • Chapters 24, 25. Diffraction
  • 26. Sound Radiation of Arrays and Membranes. (See also Literature Chapters 24, 25.)
  • 27. The Green’s Function and Its Application. (See also Literature Chapters 17, 20, 21, 22.)
  • 28. Radiation Impedance. (See Literature Chapter 18.)
  • List of Symbols.

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