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Record Nr. |
UNINA9910817453703321 |
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Autore |
Kline Morris <1908-1992.> |
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Titolo |
Mathematical thought from ancient to modern times . Volume 3 [[electronic resource] /] / Morris Kline |
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Pubbl/distr/stampa |
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New York, : Oxford University Press, 1990, c1972 |
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ISBN |
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0-19-772721-2 |
1-283-09795-8 |
9786613097958 |
0-19-977048-4 |
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Descrizione fisica |
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1 online resource (439 p.) |
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Disciplina |
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Soggetti |
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Mathematics - History |
Mathematical analysis - History |
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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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Description based upon print version of record. |
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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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Cover; Contents; 34. The Theory of Numbers in the Nineteenth Century; 35. The Revival of Projective Geometry; 36. Non-Euclidean Geometry; 37. The Differential Geometry of Gauss and Riemann; 38. Projective and Metric Geometry; 39. Algebraic Geometry; 40. The Instillation of Rigor in Analysis; 41. The Foundations of the Real and Transfinite Numbers; 42. The Foundations of Geometry; 43. Mathematics as of 1900; 44. The Theory of Functions of Real Variables; 45. Integral Equations; 46. Functional Analysis; 47. Divergent Series; 48. Tensor Analysis and Differential Geometry |
49. The Emergence of Abstract Algebra50. The Beginnings of Topology; 51. The Foundations of Mathematics; List of Abbreviations; Index |
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Sommario/riassunto |
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This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the |
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