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Titlebook: Abstract Algebra and Famous Impossibilities; Arthur Jones,Kenneth R. Pearson,Sidney A. Morris Textbook 19911st edition Springer-Verlag New

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發(fā)表于 2025-3-21 16:37:55 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Abstract Algebra and Famous Impossibilities
影響因子2023Arthur Jones,Kenneth R. Pearson,Sidney A. Morris
視頻videohttp://file.papertrans.cn/144/143442/143442.mp4
學科分類Universitext
圖書封面Titlebook: Abstract Algebra and Famous Impossibilities;  Arthur Jones,Kenneth R. Pearson,Sidney A. Morris Textbook 19911st edition Springer-Verlag New
影響因子The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these men and women, the problems would not yield to purely geometrical methods. It was only the development. of abstract algebra in the nineteenth century which enabled mathematicians to arrive at the surprising conclusion that these constructions are not possible. In this book we develop enough abstract algebra to prove that these constructions are impossible. Our approach introduces all the relevant concepts about fields in a way which is more concrete than usual and which avoids the use of quotient structures (and even of the Euclidean algorithm for finding the greatest common divisor of two polynomials). Having the geometrical questions as a specific goal provides motivation for the introduction of the algebraic concepts and we have found that students respond very favourably. We have used this text to teach second-year students at La Trobe University over a period of many years, each time refining the material in the light of student perf
Pindex Textbook 19911st edition
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Introduction,l medico viene di solito citato grazie all’immagine idealizzata che si è conservata, dall’epoca in cui il “dottore” era davvero colui che si prendeva cura (., non .) di chi soffriva (cfr. pativa, paziente: Capp. 7 e 10): l’immagine non è certo più attuale, ma lo stereotipo del medico conserva la con
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Algebraic Numbers and Their Polynomials,sé, sous la dénomination de diagnostic . (ventre). Ainsi, lors d’une maladie, celle-ci peut entra?ner des modifications spécifiques au niveau de la paroi abdominale, permettant d’établir un diagnostic. Le D. Yamamoto a tout d’abord découvert à ce niveau des zones correspondant aux . de la MTC, puis
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Extending Fields,mesure de la qualité des soins a donc fait l’objet de nombreux travaux dans la littérature scientifique, en particulier nord américaine (.). Cette mesure est basée sur des indicateurs de qualité élaborés en général, avec la préoccupation de poursuivre les objectifs classiques de la médecine (prolong
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Irreducible Polynomials, of thought, and in all a lively ‘conflict of interpretations.’ Paul Ricoeur’s observation in . (1965) that the problems of language and text interpretation had become the ‘crossroads of contemporary thought’ may be said to extent through the decade. In addition to traditional hermeneutics theologic
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Straightedge and Compass Constructions,ant l’apparition de l’écriture. Mais, dès les premiers textes, nous sommes confrontés à l’utilisation de plantes à ? parfum ?. On les employait pour des raisons domestiques (pour cacher les éventuelles mauvaises odeurs de la rue, pour l’odeur des mets), pour des raisons cosmétiques (utilisations com
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,Transcendence of e and π,tilizzo è ancora controverso. Le prime serie hanno ottenuto risultati scoraggianti. Con il miglioramento degli impianti, della tecnica chirurgica, del materiale delle componenti e della loro fissazione, i risultati delle protesi monocompartimentali riportati recentemente in letteratura sono quasi pa
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