I Advances in Geometric Algebra. - 1 Old Wine in New Bottles: A New Algebraic Framework for Computational Geometry. - 2 Universal Geometric Algebra. - 3 Realizations of the Conformal Group. - 4 Hyperbolic Geometry. - II Theorem Proving. - 5 Geometric Reasoning With Geometric Algebra. - 6 Automated Theorem Proving. - III Computer Vision. - 7 The Geometry Algebra of Computer Vision. - 8 Using Geometric Algebra for Optical Motion Capture. - 9 Bayesian Inference and Geometric Algebra: An Application to Camera Localization. - 10 Projective Reconstruction of Shape and Motion Using Invariant Theory. - IV Robotics. - 11 Robot Kinematics and Flags. - 12 The Clifford Algebra and the Optimization of Robot Design. - 13 Applications of Lie Algebras and the Algebra of Incidence. - V Quantum and Neural Computing and Wavelets. - 14 Geometric Algebra in Quantum Information Processing by Nuclear Magnetic Resonance. - 15 Geometric Feedforward Neural Networks and Support Mul- tivector Machines. - 16 Image Analysis Using Quaternion Wavelets. - VI Applications to Engineering and Physics. - 17 Objects in Contact: Boundary Collisions as Geometric Wave Propagation. - 18 Modern Geometric Calculations in Crystallography. - 19 Quaternion Optimization Problems in Engineering. - 20 Clifford Algebras in Electrical Engineering. - 21 Applications of Geometric Algebra in Physics and Links With Engineering. - VII Computational Methods in Clifford Algebras. - 22 Clifford Algebras as Projections of Group Algebras. - 23 Counterexamples for Validation and Discovering of New Theorems. - 24 The Making of GABLE: A Geometric Algebra Learning Environment in Matlab. - 25 Helmstetter Formula and Rigid Motions with CLIFFORD. - References. Language: English