1 Table of Contents: “... for Algebraic Curves -- Spline Curve Approximation and Design by Optimal Control Over the Knots -- A Parametric...”

2 Subjects: “...Calculus of Variations and Optimization...”

3 Table of Contents: “...1. Introduction -- 2. Some Notions from Differential Geometry -- 3. Modeling -- 4. Parametric...”

4 Table of Contents: “... for geometric computing -- Curve Parametrization over Optimal Field Extensions Exploiting the Newton Polygon...”

5 Table of Contents: “... and related models -- G. A. Chechkhin, Introduction to homogenization theory -- L. Bittner, H. Gottschalk, M...”

6 Table of Contents: “... under fixed sampling design -- Anti-pandemic optimal control strategies and applications -- A new fixed...”

7 Table of Contents: “... and quantum physics -- 2.2.Lagrangians.-2.3.Variational aspects -- 2.4.The sigma model -- 2.5.Functional...”

8 Table of Contents: “... -- Applications of SVD and Pseudo-Inverses -- Quadratic Optimization Problems -- Schur Complements...”

9 Subjects: “...Calculus of Variations and Optimization...”

10 Table of Contents: “...1. Foundational Material -- 2. De Rham Cohomology and Harmonic Differential Forms -- 3. Parallel...”

11 Table of Contents: “...Geometric Algebra for Modeling in Robotic Physics -- Introduction to Geometric Algebra -- Lie...”

12 Table of Contents: “...Polynomial Optimization on Odd-Dimensional Spheres -- Engineering Systems and Free Semi-Algebraic...”

13 Table of Contents: “... -- 3 - Biomathematics at the IMECC -- 4 - Phase field: a methodology to model complex material behavior...”

14 Table of Contents: “... -- Algebraically Optimal Parametrization -- Rational Reparametrization -- Real Curves...”

15 Table of Contents: “... and Stresses -- 23. Whitney's Geometric Integration Theory and Non-Smooth Bodies -- 24. Optimal Fields and Load...”

16 Table of Contents: “... of Their Applications in Molecular Modeling (M. Petitjean) -- 5. Is the Distance Geometry Problem in NP? (N. Beeker...”

17 Table of Contents: “...Tetrahedra Based Volume Visualization -- Mesh Optimization and Multilevel Finite Element...”

18 “... space is provided. The numerous exercises and the supplementary material at the end of each section form...”

19 Table of Contents: “... = Embedding Commutative Algebra into Analysis -- Exact Certification in Global Polynomial Optimization Via...”

20 Table of Contents: “... -- Visibility Graphs of Point Sets in the Plane -- Decomposability of Polytopes -- An Inscribing Model...”