Fleeting footsteps: tracing the conception of arithmetic and algebra in ancient China
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [u.a.]
World Scientific
c2004
|
| Edition: | Rev. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Part two is the translation of Sun Zi suanjing. -- Revised edition includes edited version of plenary lecture given at the International Congress of Mathematicians in Bejing in August 2002 entitled "Ancient Chinese mathematics and its influence on world mathematics." Includes bibliographical references (p. 229-235) and index |
| Physical Description: | XXII, 243 S. Ill., graph. Darst. |
| ISBN: | 9812386963 |
Staff View
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| 246 | 1 | 3 | |a Tracing the conception of arithmetic and algebra in ancient China |
| 250 | |a Rev. ed. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Foreword xi
Preface xvii
Introduction xix
Ancient Chinese Mathematics and Its Influence on
World Mathematics
l KI
1
1.1
1.2
1.3
1.4
2
2.1
and numerals?
vii
viii Fleeting Footsteps
2.2
2.2.1
2.2.2
2.2.3
2.2.4
2.2.5
2.2.6
2.3
^2.3.1
¡2.3.2
*2.3.3 The intrinsic properties
2.3.4
3
3.1
3.2
3.3
3.3.1
3.3.2
3.4
3.4.1
3.4.2
3.5
3.6
3.7
4
4.1
4.2
4.3
4.4
4.5
4.6
5
5.1
5.2
Contents ix
5.3 An
5.3.1
5.3.2
5.3.3
5.4
5.5
6
6.1
6.2
6.3
6.4
6.5
6.6
7
7.1
7.2
7.3
7.3.1
7.3.2
7.3.3
7.3.4
7.4
7.5
7.6
7.7
7.8
7.9
8
8.1
8.2
8.3
8.4
8.5
x Fleeting Footsteps
9
in the Rod Numeral System?
9.1
9.2
numeral system have the same concept
9.3
9.4
same concept as the rod numeral system
9.5
system has an Indian origin
9.6
9.7
9.8
9.9
PART TWO
Translation of Sun
Preface
Chapter
Chapter
Chapter
Appendix
Sun
Appendix
Bibliography
Supplementary Bibliography for Books in Chinese
Index
f
he Hindu-Arabic numeral system
and one of its most commonly used inventions. How did it originate? Those who have
written about the numeral system have hypothesized that it originated in India; however,
there is little evidence to support this claim.
This book provides considerable evidence to show that the Hindu-Arabic numeral
system, despite its commonly accepted name, has its origins in the Chinese rod
numeral system. This system was widely used in China from antiquity till the 16th
century. It was used by officials, astronomers, traders and others to perform addition,
subtraction, multiplication, division and other arithmetic operations, and also used by
mathematicians to develop arithmetic and algebra. Based on this system, numerous
mathematical treatises were
Sun
earliest existing work to have a description of the rod numerals and their operations.
With this treatise as a central reference, the first part of the book discusses the
development of arithmetic and the beginnings of algebra in ancient China and, on the
basis of this knowledge, advances the thesis that the Hindu-Arabic numeral system
has its origins ip the rod numeral system. Part Two gives a complete translation of
Sun
In this iodised edition Lam Lay Yong has included an edited text of her plenary lecture
entitled Ancient Chinese Mathematics and Its Influence on World Mathematics
which was delivered at the International Congress of Mathematicians, Beijing
after she received the prestigious Kenneth O. May Medal conferred by the International
Commissioaon the History of Mathematics. Thisshould serve as a useful and easy-
to-coraprehend introduction to the book.1
|
| adam_txt |
Contents
Foreword xi
Preface xvii
Introduction xix
Ancient Chinese Mathematics and Its Influence on
World Mathematics
l'\KI
1
1.1
1.2
1.3
1.4
2
2.1
and numerals?
vii
viii Fleeting Footsteps
2.2
2.2.1
2.2.2
2.2.3
2.2.4
2.2.5
2.2.6
2.3
^2.3.1
¡2.3.2
*2.3.3 The intrinsic properties
2.3.4
3
3.1
3.2
3.3
3.3.1
3.3.2
3.4
3.4.1
3.4.2
3.5
3.6
3.7
4
4.1
4.2
4.3
4.4
4.5
4.6
5
5.1
5.2
Contents ix
5.3 An
5.3.1
5.3.2
5.3.3
5.4
5.5
6
6.1
6.2
6.3
6.4
6.5
6.6
7
7.1
7.2
7.3
7.3.1
7.3.2
7.3.3
7.3.4
7.4
7.5
7.6
7.7
7.8
7.9
8
8.1
8.2
8.3
8.4
8.5
x Fleeting Footsteps
9
in the Rod Numeral System?
9.1
9.2
numeral system have the same concept
9.3
9.4
same concept as the rod numeral system
9.5
system has an Indian origin
9.6
9.7
9.8
9.9
PART TWO
Translation of Sun
Preface
Chapter
Chapter
Chapter
Appendix
Sun
Appendix
Bibliography
Supplementary Bibliography for Books in Chinese
Index
f
he Hindu-Arabic numeral system
and one of its most commonly used inventions. How did it originate? Those who have
written about the numeral system have hypothesized that it originated in India; however,
there is little evidence to support this claim.
This book provides considerable evidence to show that the Hindu-Arabic numeral
system, despite its commonly accepted name, has its origins in the Chinese rod
numeral system. This system was widely used in China from antiquity till the 16th
century. It was used by officials, astronomers, traders and others to perform addition,
subtraction, multiplication, division and other arithmetic operations, and also used by
mathematicians to develop arithmetic and algebra. Based on this system, numerous
mathematical treatises were
Sun
earliest existing work to have a description of the rod numerals and their operations.
With this treatise as a central reference, the first part of the book discusses the
development of arithmetic and the beginnings of algebra in ancient China and, on the
basis of this knowledge, advances the thesis that the Hindu-Arabic numeral system
has its origins ip the rod numeral system. Part Two gives a complete translation of
Sun
In this iodised edition Lam Lay Yong has included an edited text of her plenary lecture
entitled "Ancient Chinese Mathematics and Its Influence on World Mathematics"
which was delivered at the International Congress of Mathematicians, Beijing
after she received the prestigious Kenneth O. May Medal conferred by the International
Commissioaon the History of Mathematics. Thisshould serve as a useful and easy-
to-coraprehend introduction to the book.1' |
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| spelling | Lam, Lay-Yong Verfasser aut Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China Lam Lay Yong and Ang Tian Se Sun-tzu suan ching <engl.> Tracing the conception of arithmetic and algebra in ancient China Rev. ed. New Jersey [u.a.] World Scientific c2004 XXII, 243 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Part two is the translation of Sun Zi suanjing. -- Revised edition includes edited version of plenary lecture given at the International Congress of Mathematicians in Bejing in August 2002 entitled "Ancient Chinese mathematics and its influence on world mathematics." Includes bibliographical references (p. 229-235) and index Sun-tzu suan ching Sun-zi suan jing Mathématiques anciennes Mathématiques chinoises Mathematics, Chinese Early works to 1800 Mathematics, Ancient Geschichte (DE-588)4020517-4 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf China (DE-588)4009937-4 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift gnd-content China (DE-588)4009937-4 g Mathematik (DE-588)4037944-9 s Geschichte (DE-588)4020517-4 s DE-604 Ang, Tian Se Sonstige oth Digitalisierung UBPassau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014613163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014613163&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lam, Lay-Yong Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China Sun-tzu suan ching Sun-zi suan jing Mathématiques anciennes Mathématiques chinoises Mathematics, Chinese Early works to 1800 Mathematics, Ancient Geschichte (DE-588)4020517-4 gnd Mathematik (DE-588)4037944-9 gnd |
| subject_GND | (DE-588)4020517-4 (DE-588)4037944-9 (DE-588)4009937-4 (DE-588)1071861417 |
| title | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China |
| title_alt | Sun-tzu suan ching <engl.> Tracing the conception of arithmetic and algebra in ancient China |
| title_auth | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China |
| title_exact_search | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China |
| title_exact_search_txtP | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China |
| title_full | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China Lam Lay Yong and Ang Tian Se |
| title_fullStr | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China Lam Lay Yong and Ang Tian Se |
| title_full_unstemmed | Fleeting footsteps tracing the conception of arithmetic and algebra in ancient China Lam Lay Yong and Ang Tian Se |
| title_short | Fleeting footsteps |
| title_sort | fleeting footsteps tracing the conception of arithmetic and algebra in ancient china |
| title_sub | tracing the conception of arithmetic and algebra in ancient China |
| topic | Sun-tzu suan ching Sun-zi suan jing Mathématiques anciennes Mathématiques chinoises Mathematics, Chinese Early works to 1800 Mathematics, Ancient Geschichte (DE-588)4020517-4 gnd Mathematik (DE-588)4037944-9 gnd |
| topic_facet | Sun-tzu suan ching Sun-zi suan jing Mathématiques anciennes Mathématiques chinoises Mathematics, Chinese Early works to 1800 Mathematics, Ancient Geschichte Mathematik China Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014613163&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014613163&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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