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May 4, 2011 · Summary. Isaac Barrow was an English mathematician who developed a method of determining tangents that closely approached the methods of calculus, and he was first to recognise that integration and differentiation are inverse operations. View eight larger pictures.
JUDSON KNIGHT. Isaac Barrow1630-1677 English Mathematician Ageometer and theologian who also contributed to the field of optics, Isaac Barrow is best known for the influence he exerted over the career of the young Isaac Newton (1642-1727).
1 Isaac Barrow: divine, scholar, mathematician; 2 The Optical Lectures and the foundations of the theory of optical imagery; 3 Barrow's mathematics: between ancients and moderns; 4 Isaac Barrow's academic milieu: Interregnum and Restoration Cambridge; 5 Barrow as a scholar; 6 The preacher; 7 Isaac Barrow's library; Index
- Mordechai Feingold
- 1990
Barrow applied this method to the curves (i) x² (x² + y²) = r²y²;(ii) x³ + y³ = r³; (iii) x³ + y³ = rxy, called la galande; (iv) y = (r - x) tan πx/2r, the quadratrix; and (v) y = r tan πx/2r. It will be sufficient here if I take as an illustration the simpler case of the parabola y² = px.
A simplistic summary of Barrow’s main achievements would be to say that, by means of classical geometry, he solved the problem of tangency, invoked the notion of differential triangle and he showed that tangency (differentiation) and quadrature (integration) are inverse processes.
Mathematical Treasure: Barrow on the Benefits of Mathematics Education. Author (s): Frank J. Swetz (The Pennsylvania State University) Isaac Barrow (1630-1677) may be best known as the Lucasian Professor who eventually relinquished his position at Cambridge University to his brilliant student Isaac Newton.
Containing significant contributions to the field, the work consists chiefly of the lectures on mathematics, optics and geometry that Barrow gave in his position as Lucasian Professor of Mathematics between 1663 and 1669. It includes the first general statement of the fundamental theorem of calculus as well as Barrow's 'differential triangle'.
