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This book is devoted to the mathematical description of interesting phenomena which occur in solids, such as ferromagnetism, antiferromagnetism and superconductivity. Superconductivity and its interaction with ferro and antiferromagnetism is of special importance since over the last 15 years the temperature of superconductivity existence has been raised from 15-20 K to 100 K, which will allow in the near future numerous practical applications of this phenomenon. Although the book is written in a rather rigorous mathematical language it is made easy to read by detailed derivation for those havi

Crystals --- Crystallography, Mathematical. --- Mathematical models. --- Crystallography --- Crystallometry --- Mathematical crystallography --- Lattice theory --- Crystallography, Mathematical --- Mathematics --- Mathematical models

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Computational Materials Engineering is an advanced introduction to the computer-aided modeling of essential material properties and behavior, including the physical, thermal and chemical parameters, as well as the mathematical tools used to perform simulations. Its emphasis will be on crystalline materials, which includes all metals. The basis of Computational Materials Engineering allows scientists and engineers to create virtual simulations of material behavior and properties, to better understand how a particular material works and performs and then use that knowledge to design improvements

Crystals --- Microstructure --- Polycrystals --- Mathematical models. --- Polycrystalline solids --- Polycrystalline substances --- Materials --- Matter --- Morphology --- Micromechanics --- Stereology --- Crystallography, Mathematical --- Constitution

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The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. At the beginning, the second objective is predominant. Thus, in the first few chapters the reader will find a primer of universal algebra for logicians, a crash course in nonclassical logics for algebraists, an introduction to residuated structures, an outline of Gentzen-style calculi as

Algebraic logic. --- Lattice theory. --- Algebraic logic --- Lattice theory --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Logic, Symbolic and mathematical

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Differential geometry. Global analysis --- 51 <082.1> --- Mathematics--Series --- Permutation groups. --- Curves. --- Monodromy groups. --- Riemann surfaces. --- Symmetry groups. --- Groupes de permutations. --- Courbes. --- Groupes de monodromie. --- Riemann, Surfaces de. --- Groupes de symétrie. --- Curves --- Monodromy groups --- Permutation groups --- Riemann surfaces --- Symmetry groups --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Surfaces, Riemann --- Functions --- Substitution groups --- Group theory --- Calculus --- Conic sections --- Geometry, Analytic --- Geometry, Differential --- Geometry, Enumerative --- Mathematics --- Shapes

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The first half of this book contains the text of the first edition of LNM volume 830, Polynomial Representations of GLn. This classic account of matrix representations, the Schur algebra, the modular representations of GLn, and connections with symmetric groups, has been the basis of much research in representation theory. The second half is an Appendix, and can be read independently of the first. It is an account of the Littelmann path model for the case gln. In this case, Littelmann's 'paths' become 'words', and so the Appendix works with the combinatorics on words. This leads to the representation theory of the 'Littelmann algebra', which is a close analogue of the Schur algebra. The treatment is self- contained; in particular complete proofs are given of classical theorems of Schensted and Knuth.

Electronic books. -- local. --- Linear algebraic groups. --- Representations of groups. --- Symmetry groups. --- Linear algebraic groups --- Symmetry groups --- Representations of groups --- Mathematical Theory --- Algebra --- Mathematics --- Physical Sciences & Mathematics --- Group representation (Mathematics) --- Groups, Representation theory of --- Groups, Symmetry --- Symmetric groups --- Algebraic groups, Linear --- Mathematics. --- Associative rings. --- Rings (Algebra). --- Group theory. --- Nonassociative rings. --- Functions of real variables. --- Combinatorics. --- Group Theory and Generalizations. --- Associative Rings and Algebras. --- Non-associative Rings and Algebras. --- Real Functions. --- Combinatorics --- Mathematical analysis --- Real variables --- Functions of complex variables --- Rings (Algebra) --- Groups, Theory of --- Substitutions (Mathematics) --- Algebraic rings --- Ring theory --- Algebraic fields --- Math --- Science --- Group theory --- Crystallography, Mathematical --- Quantum theory --- Geometry, Algebraic --- Algebraic varieties --- Algebra.