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A source book in mathematics,

Author: David Eugene Smith
Publisher: New York McGraw-Hill Book Co., 1929.
Series: Source books in the history of the sciences.
Edition/Format:   Print book : English : 1st edView all editions and formats
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Genre/Form: Quelle
History
Additional Physical Format: Online version:
Smith, David Eugene, 1860-1944.
Source book in mathematics.
New York [etc.] McGraw-Hill Book Co., 1929
(OCoLC)559241202
Named Person: Mathematik
Document Type: Book
All Authors / Contributors: David Eugene Smith
OCLC Number: 1161945
Description: xvii, 701 pages frontispiece (portrait), illustrations, portraits, diagrams 24 cm.
Contents: Treviso / First printed arithmetic --
Robert Recorde / Declaration of the profit of arithmeticke --
Stevin / Decimal fractions --
Dedekind / Irrational numbers --
John Wallis / Imaginary numbers --
Wessel / Complex numbers --
Pascal / Arithmetic triangle --
Bombelli, Cataldi / Continued fractions --
Bernoulli / Bernoulli numbers --
Euler / Every integer as a sum of four squares --
Euler / Use of e to represent 2.718 --
Hermite / Transcendence of e --
Gauss / Congruence of numbers --
Gauss / Third proof of the law of quadratic reciprocity --
Kummer / Ideal numbers --
Chebyshev / Totality of primes --
Napier / Table of logarithms --
Delamain / Slide rule --
Oughtred / Slide rule --
Pascal / His calculating machine --
Leibniz / His calculating machine --
Napier / Napier rods --
Galileo Galilei / Proportional or sector compasses --
D'Ocagne / Nomography. Cardan / Imaginary roots --
Cardan / Cubic equation --
Ferrari-Cardan / Biquadratic equation --
Fermat / Equation x^n + y^n = z^n --
Fermat / So-called pell equation --
John Wallis / General exponents --
Wallis and Newton / Binomial theorem for fractional and negative exponents --
Newton / Binomial theorem for fractional and negative exponents --
Leibniz and the Bernoullis / Polynomial theorem --
Horner / Numerical higher equations --
Rolle / Location of roots --
Abel / Quintic equation --
Leibniz / Determinants --
Bernoulli / Verses on infinite series --
Bernoulli / Theory of combinations --
Galois / Groups and equations --
Abel / Theorem on the continuity of functions defined by power series --
Gauss / Fundamental theorem of algebra. Desargues / Perspective triangles --
Desargues / 4-rayed pencil --
Poncelet / Projective geometry --
Peaucellier / Peaucellier's cell --
Pascal / Essay pour les coniques --
Brianchon / Theorem --
Brianchon and Poncelet / Nine-point circle theorem --
Feuerbach / Feuerbach's thesis --
First use of Pi for the circle ratio --
Gauss / Division of a circle into n equal parts --
Saccheri / Non-euclidean geometry --
Bolyai / Non-euclidean geometry --
Fermat / Analytic geometry --
Descartes / Analytic geometry --
Pohlke / Theorem --
Riemann / Surfaces and analysis situs --
Riemann / Hypotheses which lie at the foundations of geometry --
Monge / Purpose of descriptive geometry --
Regiomontanus / Law of sines for spherical triangles --
Regiomontanus / Relation of the parts of a triangle --
Pitiscus / Laws of sines and cosines --
De Moivre / Formula --
Calvius / Prosthaphaeresis as applied to trigonometry --
Clavius / Prosthaphaeresis. Gauss / Conformal representation --
Steiner / Quadratic transformation between two spaces --
Cremona / Geometric transformations of plane figures --
Lie / Memoir on a class of geometric transformations --
Moebius, Cayley, Cauchy, Sylvester, and Clifford / Geometry of four or more dimensions --
Moebius / Higher space --
Cayley / Higher space --
Cauchy / Higher space --
Sylvester / Higher space --
Clifford / Higher space. Fermat and Pascal / Probability --
De Moivre / Law of normal probability --
Legendre / Least squares --
Chebyshev / Mean values --
Laplace / Probability of errors in the mean results of a great number of observations, etc. Cavalieri / Approach to the calculus --
Fermat / Maxima and minima --
Newton / Fluxions --
Leibniz / Calculus --
Berkeley / Analyst --
Cauchy / Derivatives and diffentials --
Euler / Differential equations of the second order --
Bernoulli / Brachistochrone problem --
Abel / Integral equations --
Bessel / His functions --
Moebius / Barycentric Calculus --
Hamilton / Quaternions --
Grassmann / Ausdehnungslehre.
Series Title: Source books in the history of the sciences.
Responsibility: by David Eugene Smith ...

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