"Version: 20241101"--Title page verso.Includes bibliographical references.part I. Introduction. 1. Historical and philosophical overview -- 1.1. Outline -- 1.2. A new mathematical structure -- 1.3. Alpha labels in spiraled hierarchy of mathematical structures -- 1.4. Universality and minimalism of alpha labeling and unpredictability -- 1.5. Principle of excessiveness : the Universe approximates…
"Version: 202111"--Title page verso.Includes bibliographical references.1. Prelude to volume two -- 1.1. Plasma, magnetised, parameters -- 1.2. Low frequency, flute mode ordering -- 1.3. Drifts, ExB flow, currents -- 1.4. Polarisation and quasineutrality -- 1.5. Turbulence -- 1.6. Turbulence in magnetised plasmas -- 1.7. Kinetic theory, turbulence, and MHD instabilities2. Effects of the electro…
"Version: 202306"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Mathematical theory -- 2.1. Navier-Stokes equations -- 2.2. Reynolds-averaged Navier-Stokes equations -- 2.3. Turbulent Prandtl and Lewis numbers -- 2.4. Large Eddy Simulation -- 2.5. Inflow boundary conditions -- 2.6. Reynolds number dependence3. Equilibrium turbulent boundary layers -- 3.1. Incompres…
"Version: 20200801"--Title page verso.Includes bibliographical references.part I. Principles of non-equilibrium thermodynamics. 1. The concept of a thermodynamic system -- 1.1. Composition of a thermodynamic system -- 1.2. Fundamental variables and work -- 1.3. Entropy and absolute temperature -- 1.4. The fluxes and thermodynamic forces -- 1.5. Non-equilibrium thermodynamics2. The characteristi…
"Version: 20230401"--Title page verso.Includes bibliographical references.1. Entropy counts : universal nature of the statistical entropy -- 1.1. Entropy, weight, probability, and information -- 1.2. A combinatorial example -- 1.3. Entropy and the Second Law -- 1.4. Nature of probability and randomness2. Variational formulation of equilibrium thermodynamics via entropy and free energy -- 2.1. E…
"Version: 20230501"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. Topological insulators -- 1.2. Topological semimetals -- 1.3. Collective excitations in magnets2. Topological band theory -- 2.1. Topological invariants -- 2.2. The Su-Schrieffer-Heeger model -- 2.3. The Haldane model3. Basics of magnons -- 3.1. Magnon dispersion relation -- 3.2. Magnon excitation …
"Version: 20171201"--Title page verso.Includes bibliographical references.1. Review of fundamentals -- 1.1. Kinematics : basic notions -- 1.2. Dynamics : Newton's laws -- 1.3. Conservation laws -- 1.4. Potential energy and equilibrium -- 1.5. OK, we've got it--can we go home now? -- 1.6. Problems2. Lagrangian analytical mechanics -- 2.1. Lagrange equations -- 2.2. Three simple examples -- 2.3. …
"Version: 20201201"--Title page verso.Includes bibliographical references.7. Electromagnetic reciprocity -- 7.1. Reciprocity theorems in the frequency and time domains -- 7.2. Compensation theorem8. Reactance theorems -- 8.1. Reactance theorems for networks and antennas9. Geometrical optics and Fermat's principle -- 9.1. Geometrical optics and Fermat's principle -- 9.2. Gradient metasurfaces an…
"Version: 20201201"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. General remarks : units -- 1.2. Inertial reference frames -- 1.3. Tensor fields2. Basic notions and equations of electrodynamics -- 2.1. Electrodynamics in vacuum -- 2.2. Maxwell's equations in integral form -- 2.3. Initial-boundary problem for Maxwell system in vacuum -- 2.4. Vector and scalar pot…
"Version: 20201101"--Title page verso.Includes bibliographical references.1. Anatomy and physiology of blood vessels / Arindam Bit, Jasjit S. Suri and Achalla Ranjani -- 2. Neurovascular structure and function / Arindam Bit, Jasjit S. Suri and Bharti Mishra -- 3. 3D bioprinting in tissue engineering and regenerative medicine / Arindam Bit, Jasjit S. Suri and Sharda Gupta -- 4. Numerical analysi…