摘要:

In recent years a growing number of complaints have been made about the mathematical shortcomings of school leavers, mainly but not exclusively by groups of employers. This paper attempts to assess the validity of these views of school mathematics by subjecting employers’ job specifications themselves to detailed analysis. No simple picture emerges but the information presented makes it apparent that in most employment categories employers do not give consistent mathematical job specifications. The implications of this are discussed.

ISSN:0020-739X    

DOI:10.1080/0020739790100311

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

An exposition of the complementarity problem (CP) particularly the linear complementarity problem (LCP) is presented in this paper. A number of problems which are unified by this theory are discussed and finally a few algorithms for solving the LCP are described.

ISSN:0020-739X    

DOI:10.1080/0020739790100312

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

In this paper the authors suggest a few games for which programmable pocket calculators are used to create an environment in which mathematical concepts can be experienced more easily by students.

ISSN:0020-739X    

DOI:10.1080/0020739790100313

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

This paper has two aspects, one mathematical, the other in mathematics education. Mathematically, it investigates the bifurcation setKof the linear differential equationx = Axon the plane, when the real 2x2 matrixAis regarded as a point in four‐dimensional space R4. The relation with mathematics education is to provide an exposition showing in detail how the material combines ideas from analysis, topology, geometry and algebra in an elementary and meaningful setting that is often not found in undergraduate courses, when these subjects are treated separately. In the hope of cultivating spatial awareness, we replace R4without essential loss of information by the three‐sphereS3,which we then project stereographically into three‐space R3, to draw two‐dimensional sketches of the projection of the setK?nS3.This projection divides R3into regions, in each of which the differential equation displays a structurally stable phase‐portrait, and we emphasize the role of ‘degenerate’ cases in allowing each such portrait to change to another qualitatively different one. Use is made of the Jordan canonical form, which is derived for 2x2 matrices through a method avoiding the conceptual difficulties of the usualnxntreatment. The associated changes of variable give a good example of a ‘concrete’ group action on R4, and the isotropy subgroups are calculated; the orbits are the levels of a Morse‐theoretic function and their topology as three‐manifolds is described.

ISSN:0020-739X    

DOI:10.1080/0020739790100314

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

The present paper examines the role of optimization in mathematical, physical, biological, social and management sciences and makes a strong plea for this concept being given a central place in the mathematics education of scientists and technologists.

ISSN:0020-739X    

DOI:10.1080/0020739790100315

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

摘要:

This paper examines the structure of the subgroups and factor groups of finite cyclic groups by using number theoretic techniques. Such number theoretic concepts as the g.c.d., the 1.c.m., and the Euler phi function are used to characterize various subgroups and factor groups. Results relative to the orders of subgroups are also developed. It is also shown that certain group properties yield number theoretic results.

ISSN:0020-739X    

DOI:10.1080/0020739790100316

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739790100317

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739790100318

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739790100320

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739790100321

出版商:Taylor & Francis Group    

年代:1979

数据来源: Taylor