摘要:

This paper illustrates how electronic spreadsheet programs, such as Lotus 1‐2‐3 and Microsoft Excel, can be used for numerical analysis. It begins by considering the nature of spreadsheets with particular reference to their precision and accuracy. It continues with an extended example taken from matrix manipulation which uses both the Jacobi and Gauss‐Seidel iterative methods for solving sets of simultaneous equations. The spreadsheet approach allows users to compare the details of how the two methods work. The paper concludes with a restatement of the advantages of spreadsheets for numerical analysis.

ISSN:0020-739X    

DOI:10.1080/0020739940250211

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

Pythagorean triples and recurrence relations occur in many parts of mathematics. This paper links them in a way which reveals an underlying pattern of ‘arrowhead curves’,

ISSN:0020-739X    

DOI:10.1080/0020739940250212

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

The use of spreadsheets in introducing students to the concept of a limit of a sequence is demonstrated and the possible computer‐based scenario as the enhancement of the teaching/learning process of calculus is exemplified. It is shown how the spreadsheet's operational capability assists visualizing the Bolzano‐Cauchy principle of convergence and leads eventually to the possibility of employing computer technology in deciding the convergence of positive series.

ISSN:0020-739X    

DOI:10.1080/0020739940250213

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

The Sumudu transform of partial derivatives is derived, and its applicability demonstrated using three different partial differential equations.

ISSN:0020-739X    

DOI:10.1080/0020739940250214

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

This contribution to heuristic geometry proves the efficiency of the new generation of interactive tools for drawing in plane geometry in processes of theorem‐finding. The background of such processes should be seen in the general skills and abilities to be acquired by the pupils. The paper concludes with a discussion of the problem of securing knowledge with respect to the propositions gained by computer‐assisted conjecturing.

ISSN:0020-739X    

DOI:10.1080/0020739940250215

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

摘要:

A symmetrical trapezium is specified by the lengths of the base and the height and the angle of inclination of the non‐parallel sides to the base. The internal bisectors of the angles of the trapezium are used to define a kite and this first kite is used to define a second kite. The properties of these kites are developed for two distinct configurations. The trapezium is allowed to vary and the conditions for the kites to be enclosed by the trapezia are investigated using inequalities. Special limiting cases and an alternative specification are considered.

ISSN:0020-739X    

DOI:10.1080/0020739940250216

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor

ISSN:0020-739X    

DOI:10.1080/0020739940250217

出版商:Taylor & Francis Group    

年代:1994

数据来源: Taylor