000 02305nam a2200241 a 4500
001 ASIN0821836501
005 20190522122532.0
008 130502s2004 xxu eng d
020 _a0821836501 (paperback)
_c$39.00
020 _a9780821836507 (paperback)
100 1 _aBohun, C. Sean.
245 1 0 _aMathematical modelling :
_ba case studies approach /
_cC. Sean Bohun, Samantha McCollum, Thea van Roode, Reinhard Illner, Reinhard Illner.
260 _a[S.l.] :
_bAmerican Mathematical Society,
_c2004.
300 _a196 p. ;
_c22 cm.
490 1 _aStudent mathematical library.
520 _aMathematical modelling is a subject without boundaries. It is the means by which mathematics becomes useful to virtually any subject. Moreover, modelling has been and continues to be a driving force for the development of mathematics itself. This book explains the process of modelling real situations to obtain mathematical problems that can be analyzed, thus solving the original problem. The presentation is in the form of case studies, which are developed much as they would be in true applications. In many cases, an initial model is created, then modified along the way. Some cases are familiar, such as the evaluation of an annuity. Others are unique, such as the fascinating situation in which an engineer, armed only with a slide rule, had 24 hours to compute whether a valve would hold when a temporary rock plug was removed from a water tunnel. Each chapter ends with a set of exercises and some suggestions for class projects. Some projects are extensive, as with the explorations of the predator-prey model; others are more modest. The text was designed to be suitable for a one-term course for advanced undergraduates. The selection of topics and the style of exposition reflect this choice. The authors have also succeeded in demonstrating just how enjoyable the subject can be. This is an ideal text for classes on modelling. It can also be used in seminars or as preparation for mathematical modelling competitions.
700 1 _aMcCollum, Samantha.
700 1 _aRoode, Thea van.
700 1 _aIllner, Reinhard.
700 1 _aIllner, Reinhard.
830 0 _aStudent mathematical library.
856 4 0 _3Amazon.com
_uhttp://www.amazon.com/exec/obidos/ASIN/0821836501/chopaconline-20
999 _c4601
_d4601