This paper first analyses the reasons for the low effectiveness of ideological and political education in current liberal arts mathematics teaching,then puts forward the contents,methods,and approaches of integrating ...This paper first analyses the reasons for the low effectiveness of ideological and political education in current liberal arts mathematics teaching,then puts forward the contents,methods,and approaches of integrating ideological and political education into liberal arts mathematics teaching,and finally finds out the matters needing attention of integrating ideological and political education into liberal arts mathematics teaching.展开更多
The transcription of the Suanshu Shu算數書(a bamboo book of mathematics)in simplified Chinese characters offers a new opportunity to explore the history of Chinese mathematics in ancient times.This paper analyzes the ...The transcription of the Suanshu Shu算數書(a bamboo book of mathematics)in simplified Chinese characters offers a new opportunity to explore the history of Chinese mathematics in ancient times.This paper analyzes the style and structure of the Suanshu Shu and makes comparisons with the Nine Chapters on Mathematical Procedures and a number of other texts in various social contexts.It will be shown that the Suanshu Shu was compiled from at least two sources,and that no direct textual interplay exists between the Suanshu Shu and the Nine Chapters,although both share the same origins in the Pre-Qin period when the major mathematical methods in the Nine Chapters came into being.It will also be shown that the Suanshu Shu was accomplished with the methods used in certain mathematical books in the Pre-Qin period or their results,which later led to the Nine Chapters,and by accommodating the actual conditions of the lower government administration.The Suanshu Shu is significant for establishing the evolution of algorithmic mathematics from the Warring States period to the Han dynasty.展开更多
Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of dou...Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.展开更多
The relationship between arts and mathematics is very close, computer graphic design is based on digital methodology. The paper reveals the mathematical backgrounds behind graphic design by the example of computer-aid...The relationship between arts and mathematics is very close, computer graphic design is based on digital methodology. The paper reveals the mathematical backgrounds behind graphic design by the example of computer-aided cubic modeling and mathematical exchange methodology. Furthermore, one can get incredible artistic effects if computer graphic designers pay more attention to the probability and use probable numbers and fractal operation in their design activities.Finally, the author also discusses the bidirections between arts and mathematics.展开更多
This paper explores the connotations of mathematical aesthetics and its connections with art,facilitated by collaboration with Ester,an individual with an artistic professional background.It begins by tracing the hist...This paper explores the connotations of mathematical aesthetics and its connections with art,facilitated by collaboration with Ester,an individual with an artistic professional background.It begins by tracing the historical evolution of aesthetics from the classical pursuit of authenticity to the modern shift toward self-expression in art.The discussion then highlights the similarities in the pursuit of truth between mathematics and art,despite their methodological differences.Through an analysis of aesthetic elements in mathematics,such as lines and function graphs,the article illustrates that the beauty of mathematics is not only manifested in cognitive processes but can also be intuitively expressed through visual arts.The paper further examines the influence of mathematics on the development of art,particularly how Leonardo da Vinci applied mathematical principles to his artworks.Additionally,the article addresses art students’perceptions of mathematics,proposes the customization of math courses for art students,and discusses future trends in the integration of mathematics and art,emphasizing the significance of art therapy and the altruistic direction of art.Lastly,the authors use a poster to visually convey the idea that the beauty of mathematics can be experienced through the senses.展开更多
文摘This paper first analyses the reasons for the low effectiveness of ideological and political education in current liberal arts mathematics teaching,then puts forward the contents,methods,and approaches of integrating ideological and political education into liberal arts mathematics teaching,and finally finds out the matters needing attention of integrating ideological and political education into liberal arts mathematics teaching.
基金Prof.Guo Shuchun and Prof.Chen Meidong陈美东assisted with the completion of the Chinese version of this paper.In addition,Prof.Joseph W.Dauben has guided its revision in English.John Moffett copyedited the English translation.The author would like to express his heartfelt appreciation to all of them.
文摘The transcription of the Suanshu Shu算數書(a bamboo book of mathematics)in simplified Chinese characters offers a new opportunity to explore the history of Chinese mathematics in ancient times.This paper analyzes the style and structure of the Suanshu Shu and makes comparisons with the Nine Chapters on Mathematical Procedures and a number of other texts in various social contexts.It will be shown that the Suanshu Shu was compiled from at least two sources,and that no direct textual interplay exists between the Suanshu Shu and the Nine Chapters,although both share the same origins in the Pre-Qin period when the major mathematical methods in the Nine Chapters came into being.It will also be shown that the Suanshu Shu was accomplished with the methods used in certain mathematical books in the Pre-Qin period or their results,which later led to the Nine Chapters,and by accommodating the actual conditions of the lower government administration.The Suanshu Shu is significant for establishing the evolution of algorithmic mathematics from the Warring States period to the Han dynasty.
文摘Air exploratory discussion of an ancient Chinese algorithm, the Ying Buzu Shu, in about 2nd century BC, known as the rule of double false position in the West is given. In addition to pointing out that the rule of double false position is actually a translation version of the ancient Chinese algorithm, a comparison with well-known Newton iteration method is also made. If derivative is introduced, the ancient Chinese algorithm reduces to the Newton method. A modification of the ancient Chinese algorithm is also proposed, and some of applications to nonlinear oscillators are illustrated.
文摘The relationship between arts and mathematics is very close, computer graphic design is based on digital methodology. The paper reveals the mathematical backgrounds behind graphic design by the example of computer-aided cubic modeling and mathematical exchange methodology. Furthermore, one can get incredible artistic effects if computer graphic designers pay more attention to the probability and use probable numbers and fractal operation in their design activities.Finally, the author also discusses the bidirections between arts and mathematics.
文摘This paper explores the connotations of mathematical aesthetics and its connections with art,facilitated by collaboration with Ester,an individual with an artistic professional background.It begins by tracing the historical evolution of aesthetics from the classical pursuit of authenticity to the modern shift toward self-expression in art.The discussion then highlights the similarities in the pursuit of truth between mathematics and art,despite their methodological differences.Through an analysis of aesthetic elements in mathematics,such as lines and function graphs,the article illustrates that the beauty of mathematics is not only manifested in cognitive processes but can also be intuitively expressed through visual arts.The paper further examines the influence of mathematics on the development of art,particularly how Leonardo da Vinci applied mathematical principles to his artworks.Additionally,the article addresses art students’perceptions of mathematics,proposes the customization of math courses for art students,and discusses future trends in the integration of mathematics and art,emphasizing the significance of art therapy and the altruistic direction of art.Lastly,the authors use a poster to visually convey the idea that the beauty of mathematics can be experienced through the senses.
