Mathematics

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  • Author(s):
    Rene De Vogelaere
    Abstract:

    Hamilton equations are such that the relation, between the coordinates and momenta at time t and at time t 0, is a contact transformation. Methods of integration of Hamilton equations, which do preserve the contact transformation property are given here. These methods are of first and second order. They are given, for the equation x= f(x,t), then for the case of one degree of freedom, then for the general case. Some of the formulae are implicit.

    Date Published:
    1956-04
  • Author(s):
    Parker Ladwig, E. Bruce Williams
    Abstract:

    Review of the book Using the Mathematics Literature, edited by Kristine K. Fowler, New York, Marcel Dekker, 2004. 389 pp., US $165, ISBN 0-8247-5035-7.

    The book’s major drawback is its price—42 cents per page vs. 19 cents for Tucker and Anderson. However, it is still an important addition to your library’s collection, a relevant resource for undergraduate and graduate student advisors, and perhaps a gift for the new librarian who will be working with your department.

  • Author(s):
    Parker Ladwig, Andrew Sommese
    Abstract:

    “Supplying accurate CPU [cost-per-serial use] information to faculty and appropriate marketing of the alternate modes of delivery … become the key to achieving an optimal cost-efficient serials collection in an academic library.” (Marisa Scigliano, “Serial Use in a Small Academic Library: Determining Cost-effectiveness,” Serials Review 26 (2000): 43–52.)

    A model is presented for adjusting use statistics using a journal’s ISI Journal Citation Reports cited half-life.The goal is to improve t…

  • Author(s):
    Christoph Clavius
    Abstract:

    The Opera Mathematica of Christoph Clavius was compiled in 1611-1612 and contains works within the fields of both pure and applied mathematics. One of the most famous selections from this set is, of course, Clavius exposition of the Gregorian calendar. Except for the Commentary on Theodosius (1721) and the Commentary on John of Holywood’s Spheres (1784), however, there are no English translations of Clavius’ works. As Fr. MacDonnell wrote in 2001, “He was considered an illustrious mathemati…