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Deeds Done Beyond the Sea
This volume celebrates Peter Edbury’s career by bringing together seventeen essays by colleagues, former students and friends which focus on three of his major research interests: the great historian of the Kingdom of Jerusalem, William of Tyre, and his Historia rerum in partibus transmarinis gestarum and its continuations; medieval Cyprus, in particular under the Lusignans; and the Military Orders in the Middle Ages. All based on original research, the contributions to this volume include new work on manuscripts, ranging from a Hospitaller rental document of the twelfth century to a seventeenth-century manuscript of Cypriot interest; studies of language and terminology in William of Tyre’s chronicle and its continuations; thematic surveys; legal and commercial investigations pertaining to Cyprus; aspects of memorialization, and biographical studies. These contributions are bracketed by a foreword written by Peter Edbury’s PhD supervisor, Jonathan Riley-Smith, and an appreciation of Peter’s own publications by Christopher Tyerman.
Theorem Proving in Higher Order Logics
This volume constitutes the proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2009), which was held during August 17-20, 2009 in Munich, Germany. TPHOLs covers all aspects of theorem proving in higher order logics as well as related topics in theorem proving and veri?cation. There were 55 papers submitted to TPHOLs 2009 in the full research c- egory, each of which was refereed by at least three reviewers selected by the ProgramCommittee. Of these submissions, 26 researchpapers and 1 proofpearl were accepted for presentation at the conference and publication in this v- ume. In keeping with longstanding tradition, TPHOLs 2009 also o?ered a venue...
Logic, Logic, and Logic
George Boolos was one of the most prominent and influential logician-philosophers of recent times. This collection, nearly all chosen by Boolos himself shortly before his death, includes thirty papers on set theory, second-order logic, and plural quantifiers; on Frege, Dedekind, Cantor, and Russell; and on miscellaneous topics in logic and proof theory, including three papers on various aspects of the Gödel theorems. Boolos is universally recognized as the leader in the renewed interest in studies of Frege's work on logic and the philosophy of mathematics. John Burgess has provided introductions to each of the three parts of the volume, and also an afterword on Boolos's technical work in provability logic, which is beyond the scope of this volume.
Na Klar! 3 Student's Book (KS4)
Na klar! is a three-stage course covering all requirements up to Key Stage 4. At Key Stage 4 the course is particularly appropriate for the AQA specifications.
Fourier Modal Method and Its Applications in Computational Nanophotonics
Most available books on computational electrodynamics are focused on FDTD, FEM, or other specific technique developed in microwave engineering. In contrast, Fourier Modal Method and Its Applications in Computational Nanophotonics is a complete guide to the principles and detailed mathematics of the up-to-date Fourier modal method of optical analysis. It takes readers through the implementation of MATLAB® codes for practical modeling of well-known and promising nanophotonic structures. The authors also address the limitations of the Fourier modal method. Features Provides a comprehensive guide to the principles, methods, and mathematics of the Fourier modal method Explores the emerging field of computational nanophotonics Presents clear, step-by-step, practical explanations on how to use the Fourier modal method for photonics and nanophotonics applications Includes the necessary MATLAB codes, enabling readers to construct their own code Using this book, graduate students and researchers can learn about nanophotonics simulations through a comprehensive treatment of the mathematics underlying the Fourier modal method and examples of practical problems solved with MATLAB codes.
The Optimal Version of Hua's Fundamental Theorem of Geometry of Rectangular Matrices
Hua's fundamental theorem of geometry of matrices describes the general form of bijective maps on the space of all m\times n matrices over a division ring \mathbb{D} which preserve adjacency in both directions. Motivated by several applications the author studies a long standing open problem of possible improvements. There are three natural questions. Can we replace the assumption of preserving adjacency in both directions by the weaker assumption of preserving adjacency in one direction only and still get the same conclusion? Can we relax the bijectivity assumption? Can we obtain an analogous result for maps acting between the spaces of rectangular matrices of different sizes? A division ring is said to be EAS if it is not isomorphic to any proper subring. For matrices over EAS division rings the author solves all three problems simultaneously, thus obtaining the optimal version of Hua's theorem. In the case of general division rings he gets such an optimal result only for square matrices and gives examples showing that it cannot be extended to the non-square case.
