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 …
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…
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…
Preface -- What is consciousness?- The Global Neuronal Workspace model. An introduction to information theory. The Shannon Coding Theorem. More heuristics: a 'tuning theorem'. The Shannon-McMillan Theorem. The Rate Distortion Theorem. Large deviations -- Fluctuations. The fundamental homology with statistical physics. Cognition as generalized language -- Theory. Two neural network examples. Int…
Linear Algebra Topics -- Affine Geometry -- Projective Geometry -- Advanced Calculus Topics -- Point Set Topology -- Combinatorial Topology -- Algebraic Topology -- Differential Topology -- Differential Geometry -- Algebraic Geometry.Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory …