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Complex light /
"Version: 20170101"--Title page verso.Includes bibliographical references (pages 17-18).Introduction -- Background -- Current directions -- Outlook.The emerging field of complex light - the study and application of custom light beams with tailored intensity, polarization or phase - is a focal point for fundamental breakthroughs in optical science. As this review will show, those advances in fun…
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- ISBN/ISSN
- 9780750313711
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- 1 online resource (xi, 18 pages) :color illustrations.
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Generalized hypergeometric functions :transformations and group theoretical a…
"Version: 20181001"--Title page verso.Includes bibliographical references.1. Hypergeometric series -- 1.1. Introduction -- 1.2. The Gauss differential equation -- 1.3. Special functions -- 1.4. Properties of the hypergeometric functions -- 1.5. A conjecture2. Group theory: basics -- 2.1. Introduction -- 2.2. Invariances, symmetries, and physics -- 2.3. Discrete groups -- 2.4. The symmetric grou…
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- ISBN/ISSN
- 9780750314961
- Collation
- 1 online resource (various pagings).
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Mathematical devices for optical sciences /
"Version: 20190601"--Title page verso.Includes bibliographical references and index.1. Forms of quantum mechanics -- 1.1. The Schr?odinger and Heisenberg pictures -- 1.2. Interaction picture -- 1.3. Density-matrix formulation of quantum mechanics -- 1.4. Further contents of Heisenberg's commutation relations2. Lorentz group and its representations -- 2.1. Lie algebra of the Lorentz group -- 2.2…
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- ISBN/ISSN
- 9780750316149
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- 1 online resource (various pagings) :illustrations (chiefly color).
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Elliptical mirrors :applications in microscopy /
"Version: 20181001"--Title page verso.Includes bibliographical references.1. Research and application of reflective microscopy -- 1.1. Introduction -- 1.2. Current situation of research on reflective microscopy -- 1.3. The current situation of application of reflective microscopy -- 1.4. Summary2. Apodization factor and linearly polarized light focusing properties of elliptical mirror -- 2.1. I…
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- ISBN/ISSN
- 9780750316293
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- 1 online resource (various pagings) :illustrations (some color).
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The Wigner function in science and technology /
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Classical mechanics -- 1.2. Rise of quantum mechanics -- 1.3. Eugene Wigner -- 1.4. Modern devices and simulation -- 1.5. Our approach2. Approaches to quantum transport -- 2.1. Modes and the Landauer formula -- 2.2. The scattering matrix approach -- 2.3. The density matrix -- 2.4. Green's functions…
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- ISBN/ISSN
- 9780750316712
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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Singularities in physics and engineering :properties, methods, and applicatio…
"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. …
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- ISBN/ISSN
- 9780750316989
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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Non-instantaneous impulsive differential equations :basic theory and computat…
"Version: 20181101"--Title page verso.Includes bibliographical references.1. Linear and perturbed equations -- 1.1. Stability analysis -- 1.2. Lyapunov regularity2. Nonlinear differential equations -- 2.1. Continuous dependence and stability of solutions -- 2.2. Orbital Hausdorff dependence of the solutions -- 2.3. Differentiability of solutions3. Semilinear evolution equations -- 3.1. First-or…
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- ISBN/ISSN
- 9780750317047
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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Differential topology and geometry with applications to physics /
"Version: 20181201"--Title page verso.Includes bibliographical references.1. Synopsis of general relativity -- 2. Curves and surfaces in E3 -- 3. Elements of topology -- 4. Differentiable manifolds -- 5. Tangent vectors and tangent spaces -- 6. Tensor algebra -- 7. Tensor fields and commutators -- 8. Differential forms and exterior calculus -- 9. Maps between manifolds -- 10. Integration on man…
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- ISBN/ISSN
- 9780750320726
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- 1 online resource (various pagings) :illustrations (some color).
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Handbook of exact solutions to the nonlinear Schr?odinger equations /
"Version: 20191101"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Fundamental nonlinear Schr?odinger equation -- 2.1. NLSE with cubic nonlinearity -- 2.2. Summary of subsection 2.1.1 -- 2.3. Summary of subsection 2.2.13. Nonlinear Schr?odinger equation with power law and dual power law nonlinearities -- 3.1. NLSE with power law nonlinearity -- 3.2. Summary of secti…
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- ISBN/ISSN
- 9780750324281
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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Studies in theoretical physics.
"Version: 20220701"--Title page verso.Includes bibliographical references.1. Series and convergence -- 1.1. Sequence and series -- 1.2. Testing series for convergence -- 1.3. Series representations of real functions -- 1.4. Sequence, series and Mathematica -- 1.5. Homework assignment2. Complex numbers, functions, and series -- 2.1. Complex numbers -- 2.2. Complex infinite series -- 2.3. Powers …
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- ISBN/ISSN
- 9780750331357
- Collation
- 1 online resource (various pagings) :illustrations (some color).
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