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ISBN: 981441252X 9789814412520 9789814412537 9814412538 9781299556331 1299556337 9789814412513 9814412511 9789814452762 9814452769 Year: 2013 Publisher: Singapore : World Scientific,
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Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.Starting from linear inequalities and Fourier-Motzkin elimination, the theory is developed by introducing polyhedra, the double description method and the simplex algorithm, closed convex subsets, convex functions of one and several variables ending with a chapter on convex optimization with the Karush-Kuhn-Tucker conditions, duality and an interior point algori
Convex domains. --- Algebras, linear. --- Convex regions --- Convexity --- Calculus of variations --- Convex geometry --- Point set theory --- Linear algebra --- Algebra, Universal --- Generalized spaces --- Mathematical analysis --- Calculus of operations --- Line geometry --- Topology
ISBN: 9780521534109 0521534100 Year: 2003 Publisher: Cambridge: Cambridge university press,
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Year: 1995 Publisher: Aarhus Aarhus universitet. Matematisk institut
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ISBN: 1139931105 113992768X 0511804229 Year: 2003 Publisher: Cambridge : Cambridge University Press,
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Concrete Abstract Algebra develops the theory of abstract algebra from numbers to Gröbner bases, whilst taking in all the usual material of a traditional introductory course. In addition there is a rich supply of topics like cryptography, factoring algorithms for integers, quadratic residues, finite fields, factoring algorithms for polynomials and systems of non-linear equations. A special feature is that Gröbner bases do not appear as an isolated example. They are fully integrated as a subject that can be successfully taught in an undergraduate context. Lauritzen's approach to teaching abstract algebra is based on an extensive use of examples, applications and exercises. The basic philosophy is that inspiring, non-trivial applications and examples give motivation and ease the learning of abstract concepts. This book is built on several years of experience teaching introductory abstract algebra at Aarhus, where the emphasis on concrete and inspiring examples has improved student performance significantly. Solutions to the exercises are available to lecturers from solutions@cambridge.org.
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Year: 1995 Publisher: Aarhus Aarhus universitet. Matematisk institut
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Year: 1996 Publisher: Aarhus University of Aarhus. Department of mathematics
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Year: 1993 Publisher: Aarhus Aarhus universitet. Matematisk institut
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Year: 1996 Publisher: Aarhus University of Aarhus. Department of mathematics
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Year: 1996 Publisher: Aarhus University of Aarhus. Department of mathematics
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Year: 1995 Publisher: Aarhus Aarhus universitet. Matematisk institut
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