Apparently a simple listing of the binomial coefficients, it contains the triangular and. Pascals arithmetical tri angle the story of a mathematical idea dover books on mathematics by a. Professor edwards has carefully researched and tightly organized his. Pascals arithmetical triangle mathematical association. With an overdrive account, you can save your favorite libraries for ataglance information about availability. The arithmetical triangle is the most famous of all number patterns.
Edwards second edition, 2002, johns hopkins university press. In recent years numerous surveys of broad mathematical topics suitable for the general reader who has more than a passing interest in. Traite du triangle arithmetique, 1654 cambridge repository. An analysis of jordanuss thinking and a critical edition of the proposition are presented. This latter identity looks suspiciously like pascal s identity used for the binomial coefficients. Edwards traces the arithmetical triangle back to its roots in pythagorean arithmetic, hindu combinatorics, and arabic algebra, and gives an account of the progressive solution of combinatorial problems from the earliest recorded examples to the work of renaissance and later mathematicians. Treatise on the arithmetical triangle, and is an account of the arithmetical triangle as. A w f edwards a history of pascals arithmetical tri angle, tracing its roots in pythagorean arithmetic, hindu combinatorics and arabic algebra, and giving an account of the progressive solution of combinatorial. Treatise on arithmetical triangle alexander bogomolny. Edwards then presents a very nice history of the arithmetical triangle before pascal. A fuller description of the traite may be found in pascal s arithmetical triangle by a. Hoffman, n pascals triangle, the arithmetic teacher 21 1973, 190199.
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