Author:
Smith, David Eugene, 1860-1944.
Edition Statement:1st ed.
Imprint:New York : McGraw-Hill book company, inc., 1929.
Descriptionxvii, 701 p. : incl. front. (port.) ill., ports., diagrs. ; 24 cm.
Note:I. THE FIELD OF NUMBER: The first printed arithmetic. Treviso, 1478 -- Robert Recorde on "The declaration of the profit of arithmeticke" -- Stevin on Decimal fractions -- Dedekind on irrational numbers -- John Wallis on imaginary numbers -- Wessel on complex numbers -- Pascal on the arithmetic triangle -- Bombelli and Cataldi on continued fractions -- Bernoulli on 'Bernoulli numbers' -- Euler on every interger as a sum of four squares -- Euler on the use of e to repreent 2.718 -- Hermite on the transcendence of e -- Gauss on the congruence of numbers -- Gauss on the third proof of the law of quadratic reciprocity -- Kummer on ideal numbers -- Chebyshev (Tchebycheff) on the totality of primes -- Napier on the table of logarithms -- Delamain on the slide rule -- Oughtred on the slide rule -- Pascal on his calculating machine -- Leibniz on his calculating machine -- Napier on the Napier rods -- Galileo Galilei on the proportional or sector compasses -- D'Ocagne on nomography -- II. THE FIELD OF ALGEBRA: Cardan on imaginary roots -- Cardan on the cubic equation -- Ferrari-Cardan on the biquadratic equation -- Fermat on the equation x(n) + y(n) = z(n) -- Fermat on the so-called Pell equation -- John Wallis on general exponents -- Wallis and Newton on the binomial theorem for fractional and negative exponents -- Newton on the binomial theorem for fractional and negative exponents -- Leibniz and the Bernoullis on the polynomial theorem -- Horner on numerical higher equations -- Rolle on the location of roots -- Abel on the quintic equation -- Leibniz on determinants -- Bernoulli, verses on infinite series -- Bernoulli on the theory of combinations -- Galois on groups and equations -- Abel's theorem on the continuity of functions defined by power series -- Gauss on the fundamental theorem of algebra -- III. THE FIELD OF GEOMETRY: Desargues on perspective triangles -- Desargues on the 4-rayed pencil -- Poncelet on projective geometry -- Peaucellier's cell -- Pascal, "Essay pour les coniques" -- Brianchon's theorem -- The first use of pi for the circle ratio -- Gauss on the division of a cirle into n equal parts -- Saccheri on non-Euclidean geometry -- Lobachevsky on non-Euclidean gemoetry -- Bolyai on non-Euclidean geometry -- Fermat on analytic geometry -- Descartes on analytic geometry -- Pohlke's theorem -- Riemann on surfaces and analysis situs -- Riemann on the hypotheses which lie at the foundations of geometry -- Monge on the purpose of descriptive geometry -- Recommendations on the law of sines for spherical triangles -- Regiomontanus on the relation of the parts of a triangle -- Pitiscus on the laws of sines and cosines -- Pitiscus on Bürgi's method of trisecting an arc -- De Moivre's formula -- Clavius on prosthaphaeresis as applied to trigonometry -- Clavius on prosthaphaeresis -- Gauss on conformal representation -- Steiner on quadratic transformation between two spaces -- Cremona on geometric transformations of plane figures -- Lie's memoir on a class of geometric transformations -- Möbius, Cayley, Cauchy, Sylvester, and Clifford on geometry of four or more dimensions -- Möbius on higher space -- Cayley on higher space -- Cauchy on higher space -- Sylvester on higher space -- Clifford on higher space -- IV. THE FIELD OF PROBABILITY: Fermat and Pascal on probability -- De Moivre on the law of normal probability -- Legendre on least squares -- Chebyshev (Tchebycheff) on mean squares -- LaPlace on the probability of errors in the mean results of a great number of observations, etc. -- V. FIELD OF THE CALCULUS, FUNCTIONS, QUATERNIONS: Cavalieri on an approach to the calculus -- Fermat on maxima and minima -- Newton on fluxions -- Leibniz on the calculus -- Berkeley's "analyst" -- Cauchy on derivatives and differentials -- Euler on differential equations of the second order -- Bernoulli on the Brachistochrone problem --Abel on integral equations -- Bessel on his functions -- Möbius on the barycentric calculus -- Hamilton on quaternions -- Grassmann on Audsdehnungslehre.
Note:Recommended by the Mathematical Association of America
