Introduction, Exemples -- Topologies sur les domaines de ?N -- Continuité par rapport au domaine -- Existence de formes optimales -- Dérivation par rapport au domaine -- Propriétés géométriques de l’optimum -- Relaxation, homogénéisation.Ce livre est une initiation aux approches modernes de l’optimisation mathématique de formes. Il s’appuie sur les seules connaissances de premiè…
Siegel Domains -- Homogeneous Siegel Domains -- Normal Siegel Domains -- Other Realizations -- Automorphism Group -- Classification of Square Domains -- Symmetric Bounded Domains -- Szegö Kernel and Poisson Kernel -- Homogeneous Bounded Domains.
Dynamique qualitative et théorie des oscillations -- La théorie de la stabilité -- La théorie des bifurcations -- La théorie classique des perturbations et les perturbations singulières -- Systèmes d’oscillateurs couplés -- Solutions ondes stationnaires et systèmes dynamiques -- Electrophysiologie, synchronisation et oscillations en salves.Par sa nature pluridisciplinaire, ce livre s…
A Motivating Problem -- to the Novikov and the Borel Conjecture -- Normal Bordism Groups -- The Signature -- The Signature Theorem and the Novikov Conjecture -- The Projective Class Group and the Whitehead Group -- Whitehead Torsion -- The Statement and Consequences of the s-Cobordism Theorem -- Sketch of the Proof of the s-Cobordism Theorem -- From the Novikov Conjecture to Surgery -- Surgery …
Kohn's Proof of the Hypoellipticity of the Hörmander Operators -- Compactness Criteria for the Resolvent of Schrödinger Operators -- Global Pseudo-differential Calculus -- Analysis of some Fokker-Planck Operator -- Return to Equillibrium for the Fokker-Planck Operator -- Hypoellipticity and Nilpotent Groups -- Maximal Hypoellipticity for Polynomial of Vector Fields and Spectral Byproducts -- …
A. Giorgilli: Preface -- G. Benettin: Physical Applications of Nekhoroshev Theorem and Exponential Estimates -- J. Henrard: The Adiabatic Invariant Theory and Applications -- S. Kuksin: Lectures on Hamiltonian Methods in Nonlinear PDEs.This volume collects three series of lectures on applications of the theory of Hamiltonian systems, contributed by some of the specialists in the field. The aim …
Curvature of Contact Metric Manifolds -- A Case for Curvature: the Unit Tangent Bundle -- Convex Hypersurfaces in Hadamard Manifolds -- Contact Metric Geometry of the Unit Tangent Sphere Bundle -- Topological-antitopological Fusion Equations, Pluriharmonic Maps and Special Kähler Manifolds -- ?2 and ?-Deformation Theory for Holomorphic and Symplectic Manifolds -- Commutative Condition on the S…
to Boundary-Value Problems -- Compact Self-Adjoint Operators -- Topics in Euclidean Fourier Analysis -- Topics in Functional Analysis -- Distributions -- Compact and Locally Compact Groups -- Aspects of Partial Differential Equations -- Analysis on Manifolds -- Foundations of Probability.Basic Real Analysis and Advanced Real Analysis (available separately or together as a Set) systematically de…
Basic Computer Graphics -- Raster Algorithms -- Clipping -- Transformations and the Graphics Pipeline -- Approaches to Geometric Modeling -- Basic Geometric Modeling Tools -- Visible Surface Algorithms -- Color -- Illumination and Shading -- Rendering Techniques -- Geometric Modeling Topics -- Curves in Computer Graphics -- Surfaces in Computer Graphics -- Intersection Algorithms -- Global Geom…
Knot Invariants and Configuration Space Integrals (Christine Lescop) -- Euclidean Quantum Field Theory on Commutative and Noncommutative Spaces (Raimar Wulkenhaar) -- Introduction to String Compactification (Anamaria Font, Stefan Theisen) -- Index Theorems and Noncommutative Topology (Thierry Fack).This volume offers an introduction, in the form of four extensive lectures, to some recent develo…