简介
When Newton left Cambridge in April 1696 to take up, at the age of 53, a new career at the London Mint, he did not entirely 芒聙聵leave off Mathematicks' as he so often publicly declared. This last volume of his mathematical papers presents the extant record of the investigations which for one reason and another he pursued during the last quarter of his life. In January 1697 Newton was tempted to respond to two challenges issued by Johann Bernoulli to the international community of mathematicians, one the celebrated problem of identifying the brachistochrone; both he resolved within the space of an evening, producing an elegant construction of the cycloid which he identified to be the curve of fall in least time. In the autumn of 1703, the appearance of work on 芒聙聵inverse fluxions' by George Cheyne similarly provoked him to prepare his own ten-year-old treatise De Quadratura Curvarum for publication, and more importantly to write a long introduction to it where he set down what became his best-known statement of the nature and purpose of his fluxional calculus.
目录
The First Mathematical Annotations 1664-1665
Annotations from Oughtred, Descartes, Schooten and Huygens
Annotations from Viete and Oughtred
Annotations from Wallis
Researches in Analytical Geometry and Calculus 1664-1666
Early notes on Analytical Geometry
Work on the Cartesian Subnormal
Miscellaneous Problems in Analytical Geometry and Calculus
Normals, Curvature and the Resolution of the General Problem of Tangents
The Calculus Becomes an Algorithm
The General Problems of Tangents, Curvature and Limit-Motion Analysed by the Method of Fluxions
The October 1966 Tract of Fluxions
Miscellaneous Early Mathematical Researches 1664-1666
Early Scraps in Newton's Waste Book
Early Work in Trigonometry
The Theory and Construction of Equations
Miscellaneous Researches in Arithmetic, Number Theory and Geometry
Appendix
Annotations from Oughtred, Descartes, Schooten and Huygens
Annotations from Viete and Oughtred
Annotations from Wallis
Researches in Analytical Geometry and Calculus 1664-1666
Early notes on Analytical Geometry
Work on the Cartesian Subnormal
Miscellaneous Problems in Analytical Geometry and Calculus
Normals, Curvature and the Resolution of the General Problem of Tangents
The Calculus Becomes an Algorithm
The General Problems of Tangents, Curvature and Limit-Motion Analysed by the Method of Fluxions
The October 1966 Tract of Fluxions
Miscellaneous Early Mathematical Researches 1664-1666
Early Scraps in Newton's Waste Book
Early Work in Trigonometry
The Theory and Construction of Equations
Miscellaneous Researches in Arithmetic, Number Theory and Geometry
Appendix
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