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Record Nr. |
UNINA9910815387203321 |
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Autore |
Fine Benjamin <1948-> |
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Titolo |
Geometry and discrete mathematics : a selection of highlights / / Benjamin Fine, [and four others] |
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Pubbl/distr/stampa |
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Berlin ; ; Boston : , : De Gruyter, , [2018] |
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©2018 |
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ISBN |
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3-11-052153-9 |
3-11-052150-4 |
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Descrizione fisica |
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1 online resource (296 pages) |
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Collana |
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Disciplina |
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Soggetti |
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Geometry |
Computer science - Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Geometry and geometric ideas -- Isometries in Euclidean vector spaces and their classication in Rn -- The conic sections -- Special groups of planar isometries -- Graph theory -- Linear fractional transformation and planar hyperbolic geometry -- Combinatorics and combinatorial problems -- Finite probability theory and Bayesian analysis -- Boolean lattices, boolean algebras and Stone's theorem. |
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Sommario/riassunto |
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This two-volume set collects and presents many fundamentals of mathematics in an enjoyable and elaborating fashion. The idea behind the two books is to provide substantials for assessing more modern developments in mathematics and to present impressions which indicate that mathematics is a fascinating subject with many ties between the diverse mathematical disciplines. The present volume examines many of the most important basic results in geometry and discrete mathematics, along with their proofs, and also their history. ContentsGeometry and geometric ideasIsometries in Euclidean vector spaces and their classification in ℝnThe conic sections in the Euclidean planeSpecial groups of planar isometriesGraph theory and platonic solidsLinear fractional transformation and planar hyperbolic geometryCombinatorics and combinatorial problemsFinite probability theory and Bayesian analysisBoolean lattices, Boolean algebras and |
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