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Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numerical algebra - MaRDI portal

Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numerical algebra (Q5894200)

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scientific article; zbMATH DE number 5870809
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Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numerical algebra
scientific article; zbMATH DE number 5870809

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    Algebra and discrete mathematics 1. Basic mathematical concepts, algebraic structures 1, linear algebra and analytic geometry, numerical algebra (English)
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    28 March 2011
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    Die Neuauflage des vorliegenden Lehrbuches enthält neben kleineren Korrekturen ein zusätzliches Kapitel. Dort werden Grundprinzipien der Kombinatorik und mengentheoretische Ergebnisse (Inklusion-Ex\-klusion-Formel, Siebformel) präsentiert und lineare Differenzengleichungen behandelt. Hinweise zu den anderen Kapiteln enthält der Review Zbl 1045.15001 bzw. ME 2004c.02809 zur ersten Auflage.
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    textbook
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    groups
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    rings
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    fields
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    algebras
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    vector space
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    basis
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    basis transformation
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    linear independence
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    determinant
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    rank
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    inner product
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    norm
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    orthogonality
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    eigenvalue
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    Jordan canonical form
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    affine space
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    roundoff error
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    Banach fixed point theorem
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    Newton method
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    polynomial zeros
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    Horner scheme
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    Jacobi method
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    Gauss-Seidel method
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    gradient method
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    polynomial interpolation
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    combinatorics
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    difference equations
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