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- catalog abstract "This book explores the background of a major intellectual revolution: the rigorous reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his contemporaries in the first part of the 19th century. Their generation changed the calculus from a method of solving problems to a collection of theorems, based on precise definitions, about limits, continuity, series, derivatives, and integrals. The book shows how Cauchy reshaped inherited 18th-century concepts to create an approach to rigor that we still accept today. In so doing, The Origins of Cauchy's Rigorous Calculus provides fresh insights and a new perspective on the foundations of analysis.".
- catalog contributor b1530167.
- catalog created "c1981.".
- catalog date "1981".
- catalog date "c1981.".
- catalog dateCopyrighted "c1981.".
- catalog description "Bibliography: p. [225]-240.".
- catalog description "Cauchy and the nineteenth-century revolution in calculus -- The status of foundations in eighteenth-century calculus -- The algebraic background of Cauchy's new analysis -- The origins of the basic concepts of Cauchy's analysis: limit, continuity, convergence -- The origins of Cauchy's theory of the derivative -- The origins of Cauchy's theory of the definite integral -- Appendix: Translations from Cauchy's Oeuvres.".
- catalog description "This book explores the background of a major intellectual revolution: the rigorous reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his contemporaries in the first part of the 19th century. Their generation changed the calculus from a method of solving problems to a collection of theorems, based on precise definitions, about limits, continuity, series, derivatives, and integrals. The book shows how Cauchy reshaped inherited 18th-century concepts to create an approach to rigor that we still accept today. In so doing, The Origins of Cauchy's Rigorous Calculus provides fresh insights and a new perspective on the foundations of analysis.".
- catalog extent "252 p. ;".
- catalog hasFormat "Origins of Cauchy's rigorous calculus.".
- catalog identifier "0262070790".
- catalog identifier "0387905278".
- catalog isFormatOf "Origins of Cauchy's rigorous calculus.".
- catalog issued "1981".
- catalog issued "c1981.".
- catalog language "eng".
- catalog publisher "Cambridge, Mass. : MIT Press,".
- catalog relation "Origins of Cauchy's rigorous calculus.".
- catalog subject "Calculus History.".
- catalog subject "Cauchy, Augustin Louis, baron, 1789-1857.".
- catalog subject "QA303 .G74".
- catalog tableOfContents "Cauchy and the nineteenth-century revolution in calculus -- The status of foundations in eighteenth-century calculus -- The algebraic background of Cauchy's new analysis -- The origins of the basic concepts of Cauchy's analysis: limit, continuity, convergence -- The origins of Cauchy's theory of the derivative -- The origins of Cauchy's theory of the definite integral -- Appendix: Translations from Cauchy's Oeuvres.".
- catalog title "The origins of Cauchy's rigorous calculus / Judith V. Grabiner.".
- catalog type "text".