DMCA. Copyrighted Work that you can Claim.
Base have 820 524 books.
Search: 


📙 Fleeting Footsteps: Tracing the Conception of Arithmetic and Algebra in Ancient China, Revised Edition by Lam Lay Yong, Ang Tian Se — free download


The Hindu–Arabic numeral system (1, 2, 3,...) is one of mankind’s greatest achievements 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 written. Sun Zi suanjing (The Mathematical Classic of Sun Zi), written around 400 AD, is the 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 in the rod numeral system. Part Two gives a complete translation of Sun Zi suanjing. In this revised 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 2002, after she received the prestigious Kenneth O. May Medal conferred by the International Commission on the History of Mathematics. This should serve as a useful and easy-to-comprehend introduction to the book.

About book:

About file:

  • File size: 3 789 276
  • Format: pdf


Security code:
Download button

Similar books results


Fleeting Footsteps: Tracing the Concepti: Tracing the Conception of Arithmetic and Algebra in Ancient China
Fleeting Footsteps: Tracing the Concepti: Tracing the Conception of Arithmetic and Algebra in Ancient China free pdf by Lam Lay Yong, Ang Tian Se

The Hindu–Arabic numeral system (1, 2, 3,...) is one of mankind’s greatest achievements 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; howe...

The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China
The Sea Island Mathematical Manual: Surveying and Mathematics in Ancient China download pdf by Frank Swetz

The Haidao Suanjing or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theor...

Fundamental Concepts of Algebra
Fundamental Concepts of Algebra free pdf by Bruce E. Meserve

This uncommonly interesting volume has been a favorite for 30 years, and is now available for the first time in a modestly priced paperback edition. Beginning with the fundamentals of numbers and sets, the author clearly guides the reader through the ofte...

Elementary Mathematics from a Higher Standpoint: Volume I: Arithmetic, Algebra, Analysis
Elementary Mathematics from a Higher Standpoint: Volume I: Arithmetic, Algebra, Analysis free download by Felix Klein (auth.)

​These three volumes constitute the first complete English translation of Felix Klein’s seminal series “Elementarmathematik vom höheren Standpunkte aus”. “Complete” has a twofold meaning here: First, there now exists a translation of volume III into Engli...

Arithmetic Algebraic Geometry
Arithmetic Algebraic Geometry free epub by J. L. Colliot-Thelene, K. Kato, P. Vojta

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa t...

Arithmetic algebraic geometry
Arithmetic algebraic geometry download pdf by Brian David Conrad, Karl Rubin

The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program ...

Arithmetic Algebraic Geometry. Proc. conf. Trento, 1991
Arithmetic Algebraic Geometry. Proc. conf. Trento, 1991 pdf free by Jean-Louis Colliot-Thelene, Kazuya Kato, Paul Vojta, Edoardo Ballico

This volume contains three long lecture series by J.L. Colliot-Thelene, Kazuya Kato and P. Vojta. Their topics are respectively the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, a new approach to Iwasawa t...

Arithmetic Algebraic Geometry
Arithmetic Algebraic Geometry free epub by

The articles in this volume are expanded versions of lectures delivered at the Graduate Summer School and at the Mentoring Program for Women in Mathematics held at the Institute for Advanced Study/Park City Mathematics Institute. The theme of the program ...

Galois representations in arithmetic algebraic geometry
Galois representations in arithmetic algebraic geometry free epub by A. J. Scholl, R. L. Taylor

This book is a conference proceedings based on the 1996 Durham Symposium on "Galois representations in arithmetic algebraic geometry". The title was interpreted loosely and the symposium covered recent developments on the interface between algebraic numbe...