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Record Nr. |
UNISALENTO991000830839707536 |
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Autore |
Laczkovich, Miklós |
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Titolo |
Conjecture and proof / Miklós Laczkovich |
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Pubbl/distr/stampa |
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Washington, DC : Mathematical Association of America, c2001 |
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ISBN |
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Descrizione fisica |
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Collana |
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Classroom resource materials |
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Classificazione |
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AMS 00A35 |
AMS 00A07 |
LC QA9.54.L33 |
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Disciplina |
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Soggetti |
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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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Note generali |
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Nota di contenuto |
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Pt. I: Proofs of impossibility, proofs of nonexistence ; Proofs of irrationality ; Elements of the theory of geometric constructions ; Constructible regular polygons ; Some basic facts about linear spaces and fields ; Algebraic and transcendental numbers ; Cauchy's functional equation ; Geometric decompositions |
Pt. II: Constructions, proofs of existence ; Pigeonhole principle ; Liouville numbers ; Countable and uncountable sets ; Isometries of R̂n ; Problem of invariant measures ; Banach-Tarski paradox ; Open and closed sets in R: the Cantor set ; Peano curve ; Borel sets ; Diagonal method |
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