The development of symbolism in elementary mathematics
department or school: Science, Faculty of
department or school: Mathematics, Department of
data provider: DSpace
degree campus: UBCV
creator: Morrison, Duncan Grant
issued: 2010-06-01T23:58:58Z
issued: 1930
related degree: Master of Arts - MA
degree grantor: University of British Columbia
description: [Abstract not available]
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/25325
note: The Development of Symbolism In Elementary Mathematics. by Duncan Grant Morrison A Thesis submitted for the Degree of Master of Arts In the Department of Mathematics. The University of British Columbia April 1930. Table of Contents. page. PART I. Introduction. 1 Egyptian Number Symbols. 2 Babylonian " " 3 Syrian, Phoenician, Hebrew Number Symbols. 6 Grecian Number Symbols. 7 Roman Number Symbols. 9 Peruvian, Aztec, Maya Number Systems. 12 Chinese and Japanese Number Systems. 13 Hindu-Arabic Number Systems. 15 Summary. 19 PART II. Symbols for addition and Subtraction. 21 Symbols for Multiplication and Division. 26 PART III. Symbols for Equality. 32 Symbolism used in Representing Ratio, Geometric and Arithmetic Proportion. 37 PART IV. Symbols used for representing the Unknown and Powers of the Unknown. 47 Symbols for Representing Powers of Known Quantities. 66 Conclusion. 67 Bibliography. List of Charts. page. Chart I. Number Symbols. 19a. Chart II. Symbolism for Addition and Substraction. 25a. Chart III. Symbols for Multiplication and Division. 31a. Chart IV. Symbols for Equality. 36a. Chart V. Symbols for Ratio, Geometric and Arithmetic Proportion. 41a. THE DEVELOPMENT OF SYMBOLISM IN ELEMENTARY MATHEMATICS. This paper outlines the genesis and development of mathematical symbolism. The treatment will be divided into four main sections as follows: fart I - Symbolical Representations of Number. Part II - Symbols Used to Represent the "Four Fundamental Operations." Part III - Symbols Used to Represent Equality, Ratio and Proportion. Part IV - Symbolical Representations of the Unknown and rowers of the unknown; of Powers and Roots of Known Quantities. - PART I -SYMBOLICAL REfRESENTlON OF NUMBER. The first topic to consider in the study of mathematical notation must necessarily be the symbolism used in number systems for had there not been developed symbolical represen-tations of numbers, the need for further notation would never have arisen. This section, therefore, con…
has type: Thesis/Dissertation
is shown at: 10.14288/1.0080136
language: eng
degree discipline: Mathematics
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
scholar level: Graduate
type: Text
identifier URI: http://hdl.handle.net/2429/25325