"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: 20170101"--Title page verso.Includes bibliographical references (pages 16-17).Introduction -- Background -- Current directions -- Outlook.Quantitative finance is a field that has risen to prominence over the last few decades. It encompasses the complex models and calculations that value financial contracts, particularly those which reference events in the future, and apply probabiliti…
"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. …
"Version: 20200301"--Title page verso.Includes bibliographical references.1. Fundamentals of thermoacoustic tomography -- 1.1. Thermoacoustic effect -- 1.2. Image reconstruction methods -- 1.3. Instrumentation2. Quantitative thermoacoustic tomography -- 2.1. Recovery of tissue conductivity -- 2.2. Simultaneous recovery of absorbed microwave energy density and acoustic velocity -- 2.3. Simultane…
"Version: 20151201"--Title page verso.Includes bibliographical references.Preface -- 1. Introduction -- 1.1. A tour through theory and applications -- 1.2. Types of inverse problems2. Functional analytic tools -- 2.1. Normed spaces, elementary topology and compactness -- 2.2. Hilbert spaces, orthogonal systems and Fourier expansion -- 2.3. Bounded operators, Neumann series and compactness -- 2.…