"Version: 20241201"--Title page verso.Includes bibliographical references and index.1. Functions of complex variables -- 2. Boundary value problems -- 3. Riemann boundary value problem -- 4. Riemann boundary value problem with discontinuous coefficients and closed contours -- 5. Mechanical applications -- 6. Taylor and Laurent series and the residue theory -- 7. Singular points -- 8. Residues o…
"Version: 20240101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Singularity -- 1.2. Singularities in science and engineering -- 1.3. Acoustic vortex -- 1.4. Singularities in optics -- 1.5. Amplitude, phase and polarization -- 1.6. Brief historical account of optical phase singularities2. Topological features -- 2.1. Introduction -- 2.2. Wavefront shape -- 2.3. …
"Version: 20180401"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Notation and tensor analysis essentials -- 2.1. Linear fractional transform -- 2.2. Visualizing rotations3. Orthogonal basis and coordinate transformations -- 3.1. Superimposed rotations -- 3.2. Basis rotations4. Rotation operations -- 4.1. Why apparent inconsistency in placement of the negative sign…
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Singularity -- 1.2. Singularities in science and engineering -- 1.3. Acoustic vortex -- 1.4. Singularities in optics -- 1.5. Amplitude, phase and polarization -- 1.6. Brief historical account of optical phase singularities2. Topological features -- 2.1. Introduction -- 2.2. Wavefront shape -- 2.3. …