"Version: 20250801"--Title page verso.Includes bibliographical references.1. Mathematical functions--a review -- 1.1. Introduction to mathematical functions -- 1.2. Trigonometry -- 1.3. Calculus -- 1.4. 2D functions -- 1.5. Introduction to complex variable functions -- 1.6. Harmonic functions -- 1.7. Special functions -- 1.8. Problems2. Optics fundamentals--a review -- 2.1. Basic concepts of ge…
"Version: 20250901"--Title page verso.Includes bibliographical references.1. Additive manufacturing : an overview -- 1.1. Introduction--3D printing : process chain overview -- 1.2. Stereolithography -- 1.3. Selective laser sintering and selective laser melting -- 1.4. Extrusion processes -- 1.5. Material jetting -- 1.6. Binder jetting -- 1.7. Electron beam melting -- 1.8. Laminated object manuf…
"Version: 20231001"--Title page verso.Includes bibliographical references.1. Classical mechanics and electromagnetism -- 1.1. Newtonian mechanics -- 1.2. Light and electromagnetism -- 1.3. Newtonian point particle solutions2. The origins of quantum mechanics -- 2.1. Blackbody radiation and Planck's constant -- 2.2. Light and photons -- 2.3. Electron diffraction and the de Broglie wavelength -- …
"Version: 202306"--Title page verso.Includes bibliographical references.part II. Quantum fault tolerance. 19. Quantum fault-tolerant circuits -- 19.1. The need for quantum fault-tolerant circuits -- 19.2. The fault-tolerant quantum adder -- 19.3. The fault-tolerant multiplier -- 19.4. The quantum fault-tolerant integer divider -- 19.5. Summarypart III. Quantum-dot cellular automata. 20. Quantum…
"Version: 20240901"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Elements of quantum theory -- 2.1. Reminders of linear algebra -- 2.2. Postulates of quantum theory3. Fundamentals of quantum walks -- 3.1. Quantum walks -- 3.2. Higher-dimensional spaces4. Continuous limits and plasticity in one dimension -- 4.1. Plastic quantum walk -- 4.2. Convergence -- 4.3. Disc…
"Version: 20250401"--Title page verso.Includes bibliographical references.1. Relativistic quantum mechanics -- 1.1. The rotation groups SO(3) and SO(n) -- 1.2. Special relativity -- 1.3. Klein-Gordon equation -- 1.4. Dirac equation -- 1.5. Free solutions of the Dirac equation -- 1.6. Lorentz covariance : first look -- 1.7. Representations of the Lorentz group -- 1.8. Exercises -- 1.9. Solutions…
"Version: 20250601"--Title page verso.Includes bibliographical references.12. The Wilson and functional renormalization group equations -- 12.1. Wilson renormalization group approach -- 12.2. The Wilson approximate recursion formulas -- 12.3. Generating functionals -- 12.4. The functional renormalization group -- 12.5. The vertex expansion approximation method for 04 -- 12.6. The gradient expan…
"Version: 20251101"--Title page verso.Includes bibliographical references.part I. Mathematical background. 1. Vectors and tensors -- 1.1. Introduction -- 1.2. Vector calculus -- 1.3. Generalization of matrices into tensors -- 1.4. Geometric algebra -- 1.5. Group theory2. Differential equations and the Lagrangian formalism -- 2.1. Differential equations -- 2.2. Differential equations with severa…
"Version: 20250801"--Title page verso.Includes bibliographical references.1. Introduction -- 1.1. The Schr?odinger equation -- 1.2. Indistinguishable particles and the ground state -- 1.3. Solving quantum problems with Monte Carlo2. Variational Monte Carlo (VMC) -- 2.1. Spin in expectation values -- 2.2. The multielectron wave function -- 2.3. The Jastrow factor3. Principles of wave function op…
"Version: 20240801"--Title page verso.Includes bibliographical references.1. Introduction -- 2. Classical nature of light -- 2.1. Electromagnetic waves -- 2.2. Polarization -- 2.3. Preparatory experimental explorations -- 2.4. C1 : Investigating polarization of light through Jones calculus -- 2.5. C2 : Fourier analysis and peanut plots -- 2.6. C3 : Interference and erasure of which-way informat…