The bringing together, in an annotated and critical edition, of all the known mathematical papers of Isaac Newton marks a step forward in the publication of the works of this great natural philosopher. In all, there are eight volumes in this present edition. Translations of papers in Latin face the original text and notes are printed on the page-openings to which they refer, so far as possible. Each volume contains a short index of names only and an analytical table of contents; a comprehensive index to the complete work is included in Volume VIII. Volume I covers three exceptionally productive years: Newton's final year as an undergraduate at Trinity College, Cambridge, and the two following years, part of which were spent at his home in Lincolnshire on account of the closure of the university during an outbreak of bubonic plague.
Part I. The First Mathematical Annotations 1664-1665: 1. Annotations from Oughtred, Descartes, Schooten and Huygens; 2. Annotations from Viete and Oughtred; 3. Annotations from Wallis; Part II. Researches in Analytical Geometry and Calculus 1664-1666: 1. Early notes on Analytical Geometry; 2. Work on the Cartesian Subnormal; 3. Miscellaneous Problems in Analytical Geometry and Calculus; 4. Normals, Curvature and the Resolution of the General Problem of Tangents; 5. The Calculus Becomes an Algorithm; 6. The General Problems of Tangents, Curvature and Limit-Motion Analysed by the Method of Fluxions; 7. The October 1966 Tract of Fluxions; Part III. Miscellaneous Early Mathematical Researches 1664-1666: 1. Early Scraps in Newton's Waste Book; 2. Early Work in Trigonometry; 3. The Theory and Construction of Equations; 4. Miscellaneous Researches in Arithmetic, Number Theory and Geometry; Appendix