Introduction.- History of Gauge Theory.- Coordinate Systems as the Framework of Equations.- Gauge Fields.- Covariant Derivative in Gauge Theory.- Lie Groups.- Global Gauge Invariance.- Local Gauge Invariance.- Gauge Fixing.- Noether's Theorem.- Spontaneous Symmetry Breaking and Phonon as the Goldstone Mode.- Time Reversal Acoustics and Super resolution.- Negative Refraction, Acoustical Metamaterials, and Acoustical Cloaking.- New Acoustics based on Metamaterials.
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