# zbMATH — the first resource for mathematics

A source book in mathematics, 1200–1800. (English) Zbl 0205.29202
Source Books in the History of the Sciences. Cambridge, Mass.: Harvard University Press, xiv, 427 p. (1969).
See the review below.
Chapter I: Arithmetic. Introduction. p. 1; Leonardo of Pisa, The rabbit problem. p. 2; Recorde, Elementary arithmetic. p. 4; Stevin, Decimal fractions. p. 7; Napier Logarithms. p. 11; Pascal, The Pascal triangle. p. 21; Fermat, Two Fermat theorems and Fermat numbers. p. 26; Fermat, The Pell equation. p. 29; Euler, Power residues. p. 31; Euler, Fermat’s theorem for $$n=3, 4$$. p. 36; Euler, Quadratic residues and the reciprocity theorem. p. 40; Goldbach, The Goldbach theorem. p. 47; Legendre, The reciprocity theorem. p. 49.
Chapter IV: Analysis before Newton and Leibniz. Introduction. p. 188; Stevin Centers of gravity. p. 189; Kepler, Integration methods. p. 192; Galilei, On infinities and infinitesimals. p. 198; Galilei, Accelerated motion. p. 208; Cavalieri, Principle of Cavalieri. p. 209; Cavalieri, Integration. p. 214; Fermat, Integration. p. 219; Fermat, Maxima and minima. p. 222; Torricelli, Volume of an infinite solid. p. 227; Roberval, The cycloid. p. 232; Pascal, The integration of sines. p. 238; Pascal, Partial integration. p. 241; Wallis, Computation of $$\pi$$ by successive interpolations. p. 244; Barrow, The fundamental theorem of the calculus. p. 253; Huygens, Evolutes and involutes. p. 263.
Chapter V: Newton, Leibniz and their school. Introduction. p. 270; Leibniz, The first publication of his differential calculus. p. 271; Leibniz, The first publication of his integral calculus. p. 281; Leibniz, The fundamental theorem of the calculus. p. 282; Newton and Gregory, Binomial series. p. 284; Newton, Prime and ultimate ratios. p. 291; Newton, Genita and moments. p. 300; Newton, Quadrature of curves. p. 303; L’Hôpital, The analysis of the infinitesimally small. p. 312; Jakob Bernoulli, Sequences and series. p. 316; Johann Bernoulli, Integration. p. 324; Taylor, The Taylor series. p. 328; Berkeley, The Analyst. p. 333; Maclaurin, On series and extremes. p. 338; D’Alembert, On limits. p. 341; Euler, Trigonometry. p. 345; D’Alembert, Euler, Daniel Bernoulli, The vibrating string and its partial differential equation. p. 351; Lambert, Irrationality of $$\pi$$. p. 369; Fagnano and Euler, Addition theorem of elliptic integrals. p. 374; Euler, Landen, Lagrange, The metaphysics of the calculus. p. 383; Johann and Jakob Bernoulli, The brachystochrone. p. 391; Euler, The calculus of variations. p. 399; Lagrange, The calculus of variations. p. 406; Monge, The two curvatures of a curved surface. p. 413.