Niccolò Guicciardini holds degrees in physics and philosophy awarded by the Università degli Studi di Milano. This book is the published version of his Ph.D. thesis in the history of mathematics, written under the supervision of Ivor Grattan-Guinness at Middlesex Polytechnic. Niccolò Guicciardini is Co-Editor in Chief of Historia Mathematica and is a recipient of the Sarton Medal for 2011–2012, awarded by the University of Ghent, Belgium.

"...provides a much needed reminder that mathematical ideas are transmitted through teaching and cultural influences as well as through research." Nature

• Introduction; Overture: Newton's published work on the calculus of fluxions; Part I. The Early Period: 1. The diffusion of the calculus (1700–1730); 2. Developments in the calculus of fluxions (1714–1733); 3. The controversy on the foundations of the calculus (1734–1742); Part II. The Middle Period: 4. The textbooks on fluxions (1736–1758); 5. Some applications of the calculus (1740–1743); 6. The analytic art (1755–1785); Part III. The Reform: 7. Scotland (1785–1809); 8. The Military Schools (1773–1819); 9. Cambridge and Dublin (1790–1820); 10. Tables; Endnotes; Bibliography; Index.

Niccolò Guicciardini holds degrees in physics and philosophy awarded by the Università degli Studi di Milano. This book is the published version of his Ph.D. thesis in the history of mathematics, written under the supervision of Ivor Grattan-Guinness at Middlesex Polytechnic. Niccolò Guicciardini is Co-Editor in Chief of Historia Mathematica and is a recipient of the Sarton Medal for 2011–2012, awarded by the University of Ghent, Belgium.

"...provides a much needed reminder that mathematical ideas are transmitted through teaching and cultural influences as well as through research." Nature

• Introduction; Overture: Newton's published work on the calculus of fluxions; Part I. The Early Period: 1. The diffusion of the calculus (1700–1730); 2. Developments in the calculus of fluxions (1714–1733); 3. The controversy on the foundations of the calculus (1734–1742); Part II. The Middle Period: 4. The textbooks on fluxions (1736–1758); 5. Some applications of the calculus (1740–1743); 6. The analytic art (1755–1785); Part III. The Reform: 7. Scotland (1785–1809); 8. The Military Schools (1773–1819); 9. Cambridge and Dublin (1790–1820); 10. Tables; Endnotes; Bibliography; Index.

Niccolò Guicciardini holds degrees in physics and philosophy awarded by the Università degli Studi di Milano. This book is the published version of his Ph.D. thesis in the history of mathematics, written under the supervision of Ivor Grattan-Guinness at Middlesex Polytechnic. Niccolò Guicciardini is Co-Editor in Chief of Historia Mathematica and is a recipient of the Sarton Medal for 2011–2012, awarded by the University of Ghent, Belgium.

"...provides a much needed reminder that mathematical ideas are transmitted through teaching and cultural influences as well as through research." Nature

• Introduction; Overture: Newton's published work on the calculus of fluxions; Part I. The Early Period: 1. The diffusion of the calculus (1700–1730); 2. Developments in the calculus of fluxions (1714–1733); 3. The controversy on the foundations of the calculus (1734–1742); Part II. The Middle Period: 4. The textbooks on fluxions (1736–1758); 5. Some applications of the calculus (1740–1743); 6. The analytic art (1755–1785); Part III. The Reform: 7. Scotland (1785–1809); 8. The Military Schools (1773–1819); 9. Cambridge and Dublin (1790–1820); 10. Tables; Endnotes; Bibliography; Index.