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Prawitz's theories form the basis of intuitionistic type theory, and his inversion principle constitutes the foundation of most modern accounts of proof-theoretic semantics. The proof-theoretical system represents a simpler and more illuminating
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Suitable for advanced undergraduates and graduate students, this text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics
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Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification
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This concisetext offersan introduction tothe fundamentals and standard methods of the calculus of variations. In addition to surveys of problems with fixed and movable boundaries, its subjects include practical direct methods for
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One of the 18th century's greatest mathematicians, Lagrange made significant contributionsto analysis and number theory. He delivered these lectures on arithmetic, algebra, and geometry at thecole Normale, a training school for teachers.
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This introductory treatment covers the basic concepts and machinery of stability theory. Lemmas, corollaries, proofs, and notes assist readers in working through and understanding the material and applications. Full of examples, theorems,
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This text for a graduate-level course covers the general theory of factorization of ideals in Dedekind domains as well as the number field case. Itillustrates the use of Kummer's theorem, proofs of
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Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities. Covers generalities on the
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Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of dynamic linear programming, more. First comprehensive treatment
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Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis.
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Superb study begins with fundamentals of x-ray diffraction theory using Fourier transforms, then applies general results to various atomic structures, amorphous bodies, crystals and imperfect crystals. Elementary laws of X-ray diffraction on
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Highly useful volume discusses the types of models, how to formulate and manipulatethem for best results. Numerous examples.
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Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 2 contains 74 problems on points and lines, topology, convex polygons, nondecimal counting andother topics. Includes solutions.
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