Computational Noncommutative Algebra and Applications Dedication. Preface. Acknowledgments. Clifford Geometric Algebras in Multilinear Algebra and Non Euclidean Geometries Geometric algebra Projective Geometries;Affine and other geometries; Affine Geometry of pseudo euclidean space; Conformal Geometry and the Horosphere; References. Content Based Information Retrieval by Group Theoretical Methods Introduction; Motivating Examples; General Concept; Fault Tolerance Applications Prototypes and Test Results; Related Work and Future Research; References Four Problems in Radar. Introduction; Radar Fundamentals; Radar Waveforms; Signal Processing; Space Time Adaptive Processing; Four Problems in Radar; Conclusions. Introduction to Generalized Classical and Quantum Signal and System Theories on Groups and Hypergroups. Generalized classical signal system theory on hypergroups; Generalized quantum signal system theory on hypergroups; Conclusion; References. Lie Groups and Lie Algebras in Robotics Introduction—Rigid Body Motions; Lie Groups; Finite Screw Motions; Mechanical Joints; Invisible Motion and Gripping; Forward Kinematics; Lie Algebra; The Adjoint Representation; The Exponential Map Derivatives of Exponentials; Jacobians; Concluding Remarks; References. Quantum Classical Interface: a Geometric Approach from the Classical Side Introduction Paravector Space as Spacetime; Eigenspinors; Spin; Dirac Equation; Bell’s Theorem; Qubits and Entanglement; Conclusions; References. PONS Reed Muller Codes and Group Algebras Introduction; Analytic Theory of One Dimensional PONS (Welti);Shapiro Sequences Reed Muller Codes and Functional Equations;Group Algebras; Reformulation of Classical PONS; Group Algebra of Classical PONS; Group Algebra Convolution; Splitting Sequences; Historical Appendix on PONS; References. Clifford Algebras as a Unified Language Introduction; Clifford algebras as models of physical spaces; Clifford Algebras as Models of Perceptual Multicolor Spaces; Hypercomplex Valued invariants of nD multicolor images; Conclusions; Acknowledgments; References. Recent Progress and Applications in Group FFTs Introduction; Finite group FFTs; FFTs for compact groups; Noncompact groups; References. Group Filters and Image Processing Introduction: Classical Digital Signal Processing; Abelian Group DSP; Nonabelian Groups; Examples; Group Transforms; Group Filters; Line like Images; Acknowledgments; References. A Geometric Algebra Approach to Some Problems of Robot Vision Introduction; Local Analysis of Multi dimensional Signals; Knowledge Based Neural Computing; Acknowledgments; References. Group Theory in Radar and Signal Processing Introduction; How a Radar Works;Representations; Representations and Radar; Ambiguity Functions;The Wide Band Case; References. Geometry of Paravector Space with Applications to Relativistic Physics Clifford Algebras in Physics; Paravector Space as Spacetime; Interpretation; Eigenspinors; Maxwell’s Equation; Conclusions; References. A Unified Approach to Fourier Clifford Prometheus Transforms Introduction; New construction of classical and multiparametric Prometheus transforms; PONS associated with Abelian groups; Fast Fourier Prometheus Transforms; Conclusions; Acknowledgments; References. Fast Color Wavelet Transforms Introduction; Color images; Color Wavelet Haar Prometheus transforms;Edge detection and compression of color images; Conclusion; Acknowledgments; References. Selected Problems; Various Authors Transformations of Euclidean Space and Clifford Geometric; Algebra ;References; On the Distribution of Kloosterman Sums on Polynomials over Quaternions; References; Harmonic Sliding Analysis Problems; References; Spectral Analysis under Conditions of Uncertainty; A Canonical Basis for Maximal Tori of the Reductive Centrizer of a Nilpotent Element; References;6 The Quantum Chaos Conjecture References; Four Problems in Radar; Topic Index; Author Index.