This book is based on real inner product spaces X of arbitrary (finite or infinite) dimension greater than or equal to 2. With natural properties of (general) translations and general distances of X, euclidean and hyperbolic geometries are characterized. For these spaces X also the sphere geometries of Möbius and Lie are studied (besides euclidean and hyperbolic geometry), as well as geometries where Lorentz transformations play the key role. The geometrical notions of this book are based on general spaces X as described. This implies that also mathematicians who have not so far been especially interested in geometry may study and understand great ideas of classical geometries in modern and general contexts.

This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.

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Following the success of the first edition, recent developments in the field of morphological image analysis called for an extended second edition. The text has been fully revised with the goal of improving its clarity while introducing new concepts of interest to real image analysis applications. One chapter devoted to texture analysis has been added. Main extensions include: discussion about multichannel images and their morphological processing, ordering relations on image partitions, connected operators and levellings, homotopy for greytone images, translation-invariant implementations of erosions and dilations by line segments, reinforced emphasis on rank-based morphological operators, grey tone hit-or-miss, ordered independent homotopic thinnings and anchored skeletons, self-dual geodesic transformation and reconstruction, area based self-dual filters, anti-centre, watershed-based texture segmentation, texture models, and new scientific and industrial applications.

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When the head of a criminal organisation, Finn Wallace is assassinated, the sudden power vacuum his death creates threatens the fragile peace between the intricate web of gangs operating on the streets of the city. Now it’s up to the grieving, volatile and impulsive Sean Wallace to restore control and find those responsible for killing his father.

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