Mathematics

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  • Author(s):
    Thomas S. Fern
    Abstract:

    It is my view that a bookplate should reflect the donor’s interests and accomplishments as well as the symbols of the library where the collection is housed. The accomplishments and reputation of Marston Morse are so great that my first task, after studying hls life and career, was to somehow narrow my choices from dozens of significant milestones to a meaningful and manageable few.

    Date Created:
    1979-03-12
    Resource Type
    Document
  • 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):
    Michael Gekhtman
    Abstract:

    This work is devoted to integration of semi-infinite and finite non-Abelian lattices of Toda-type, that is, nonlinear differential-difference equations that can be written in a Lax form

    L˙(t) = [L(t), A(t)] , where L is a tridiagonal matrix of order N ≤ ∞ whose entries are bounded operators in some Banach or Hilbert space and A is a finite band matrix of the same order whose entries depend on those of L. We develop an inverse spectral problem method for such equations that generalizes the on…

    Date Created:
    1990-06-30
    Resource Type
    Document
  • 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…