Showing papers in "Historia Mathematica in 1977"

TL;DR: The contribution of Liouville, Riemann, and Laurent to the field of fractional operators has been discussed in this paper, where the authors describe an example of mathematical growth from scholarly curiosity to application.

TL;DR: The background of the dispute is sketched, and this little known attack on Gauss in 1820 is presented in translation.

TL;DR: Glaisher as discussed by the authors asserted that the eight queens problem of recreational mathematics originated in 1850 with Franz Nauck proposing it to Gauss, who then gave the complete solution, when in fact the problem was first proposed two years earlier by Max Bezzel, proposed again by Nauck in a newspaper Gauss happened to read, and only partially solved by Gauss in a casual attempt.

TL;DR: In this article, a critique of R. J. Gillings, Mathematics in the Time of the Pharoahs, Chapter 6, is presented. But this critique is restricted to the body of the paper.

TL;DR: The expression for the circumradius of a cyclic quadrilateral in terms of its sides was known in India to Parameśvara (circa 1430).

TL;DR: In this paper, Babbage's plans for the Analytical engine are examined based on an examination of surviving notebooks and drawings and includes much unpublished material on the "directive part" of the engine.

TL;DR: The publication of the mathematical manuscripts of Karl Marx, suggested by Engels in 1885, announced in 1932, and completed in 1968, brought new awareness of his many-sided talent as mentioned in this paper.

TL;DR: Adrain this article was a leader in the American mathematical community as a teacher, proposer and solver of problems, and as an editor of mathematical journals, and published two proofs of the exponential law of error independently of Gauss.

TL;DR: In this article, the authors trace the early development of a method for finding the approximate solutions, called the WKB solutions, for a class of ordinary differential equations of second order, and analyze the attempts made by the various contributors to this method to substantiate their results.

TL;DR: In this paper, it is shown that Charles Babbage had all these ideas in almost identical or superior form in an unpublished work The Philosophy of Analysis written in 1821, and that Peacock certainly had access to Babbage's writings, and the suggestion is made of unconscious assimilation rather than deliberate plagiarism.

TL;DR: One of the earliest protracted expositions of the mathematical relationships which obtain among the lengths of the three sides of a right-angled triangle occurs in the commentary of Chao Chun-ch'ing on the Chou Pi Suan Ching as mentioned in this paper.

TL;DR: In an attempt to reveal the breadth of Gauss's interest in geometry, this account is divided into six chapters as mentioned in this paper, where the fundamental theorem of algebra can be proved only with the aid of geometric ideas, and an application of algebra to geometry: the connection between the Fermat primes and the construction of regular polygons.

TL;DR: An exploration of the relations of mathematics and society in history, intended as a basis for general discussion, can be found in this paper, which includes an argument for doing social history of mathematics, a survey of themes, problems, and methods, structured by distinguishing different social forms of mathematics.

TL;DR: The Van Vleck zero-one law of Borel and Kolmogorov's zero one law of normal numbers was shown to be equivalent to Borel's Law of Normal Numbers in this article.

TL;DR: The traditional thesis that analytic geometry evolved from the concepts of axes of reference, co-ordinates, and loci, is rejected as mentioned in this paper, and the origins of this science are re-defined in terms of Egyptian, Greek, Babylonian, and Arabic influences merging in Vieta's Isagoge in artem analyticam (1591) and culminating in a work of his pupil Ghetaldi published posthumously in 1630.

TL;DR: More than twenty years before Huygens and Newton developed formulas for centrifugal acceleration, Mersenne contrived a statisfactory solution for Galileo's problem of the extrusion of bodies from the earth as a result of its daily rotation as discussed by the authors.

TL;DR: In the Sphere and Cylinder Book I, Archimedes makes an assertion about the areas of three triangles whose sides are generators of an isosceles cone as discussed by the authors.

TL;DR: A new approach of international coordinated research in historical crypt analysis--bringing together the scholars who discover cryptographic materials and those who can help with their cryptanalysis--is discussed.

TL;DR: An analysis of Newton's theory of the lunar apsidal motion in the Principia shows an inadequacy for which he attempted to compensate by adjusting his numerical assumptions as mentioned in this paper.

TL;DR: The Tantalizer game was originally introduced by van Deventer et al. as mentioned in this paper, where the object is to stack the cubes so that the four different colors are showing on each of the four sides of the pile.

TL;DR: In this paper, Gauss in his letter of 4 April 1803 to Niklaus Fuss, the permanent secretary of the St Petersburg Academy of Sciences, says that he cannot accept the employment offered in St. Petersburg.

TL;DR: In this paper, Viete introduced operations over right triangles which are directly related to the multiplication and division of complex numbers and determined the relationships between the angles and sides of the triangles concerned.