Wang, Yuan 1930
Overview
Works:  46 works in 241 publications in 4 languages and 4,827 library holdings 

Genres:  Biography History 
Roles:  Author, Editor, Other 
Classifications:  QA241, 512.7 
Publication Timeline
.
Most widely held works by
Yuan Wang
Applications of number theory to numerical analysis by
Luogeng Hua(
Book
)
18 editions published in 1981 in English and German and held by 448 WorldCat member libraries worldwide
Owing to the developments and applications of computer science, ma thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one. The number theoretic method may be described as follows. We use num ber theory to construct a sequence of uniformly distributed sets in the s dimensional unit cube G, where s ~ 2. Then we use the sequence to s reduce a difficult analytic problem to an arithmetic problem which may be calculated by computer. For example, we may use the arithmetic mean of the values of integrand in a given uniformly distributed set of G to ap s proximate the definite integral over G such that the principal order of the s error term is shown to be of the best possible kind, if the integrand satis fies certain conditions
18 editions published in 1981 in English and German and held by 448 WorldCat member libraries worldwide
Owing to the developments and applications of computer science, ma thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one. The number theoretic method may be described as follows. We use num ber theory to construct a sequence of uniformly distributed sets in the s dimensional unit cube G, where s ~ 2. Then we use the sequence to s reduce a difficult analytic problem to an arithmetic problem which may be calculated by computer. For example, we may use the arithmetic mean of the values of integrand in a given uniformly distributed set of G to ap s proximate the definite integral over G such that the principal order of the s error term is shown to be of the best possible kind, if the integrand satis fies certain conditions
Goldbach conjecture by
Yuan Wang(
Book
)
14 editions published between 1984 and 2002 in English and Undetermined and held by 326 WorldCat member libraries worldwide
These book consists of two parts:. (i) A detailed introduction by the editor to provide a full exposition on the developments of the study of Goldbach conjecture, including a complete reference. (ii) A collection of original papers on Goldbach Conjecture and is intended for graduate students and researchers in analytic number theory who have an understanding of basic elementary number theory and the theory of the distribution of prime numbers. The basic methods for treating Goldbach Conjecture are the circle method of Hardy and Littlewood and the sieve method of Brun. This book contains papers
14 editions published between 1984 and 2002 in English and Undetermined and held by 326 WorldCat member libraries worldwide
These book consists of two parts:. (i) A detailed introduction by the editor to provide a full exposition on the developments of the study of Goldbach conjecture, including a complete reference. (ii) A collection of original papers on Goldbach Conjecture and is intended for graduate students and researchers in analytic number theory who have an understanding of basic elementary number theory and the theory of the distribution of prime numbers. The basic methods for treating Goldbach Conjecture are the circle method of Hardy and Littlewood and the sieve method of Brun. This book contains papers
Diophantine equations and inequalities in algebraic number fields by
Yuan Wang(
Book
)
15 editions published between 1991 and 2013 in English and Undetermined and held by 266 WorldCat member libraries worldwide
The circle method has its genesis in a paper of Hardy and Ramanujan (see [Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the HardyLittlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s(k) such that every positive integer N is representable as (1) where Xi arenonnegative integers. This assertion wasfirst proved by Hilbert [1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k  2)2  +5. Here
15 editions published between 1991 and 2013 in English and Undetermined and held by 266 WorldCat member libraries worldwide
The circle method has its genesis in a paper of Hardy and Ramanujan (see [Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see [Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the HardyLittlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s(k) such that every positive integer N is representable as (1) where Xi arenonnegative integers. This assertion wasfirst proved by Hilbert [1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k  2)2  +5. Here
Number theory and its applications in China by
Yuan Wang(
Book
)
11 editions published in 1988 in English and held by 247 WorldCat member libraries worldwide
11 editions published in 1988 in English and held by 247 WorldCat member libraries worldwide
Numbertheoretic methods in statistics by
Kaitai Fang(
Book
)
11 editions published in 1994 in English and Undetermined and held by 224 WorldCat member libraries worldwide
"The application of numbertheoretic methods is a new, but rapidly expanding, branch of statistics. The Monte Carlo method is already established, with wide applications in science and technology. In applying it, however, a set of 'pseudo' random numbers is required for statistical simulation, and the use of these numbers often leads to unacceptably large errors." "The essence of the numbertheoretic method described in this book is to reduce such errors by using number theory to find a set of points (sometimes called quasi random numbers) which can then be regarded as the representatives of a given distribution. The numbertheoretic method is hence also known as the quasi or deterministic version of the Monte Carlo method." "Numbertheoretic Methods in Statistics gives the reader various methods of generating quasi random numbers and demonstrates their applications in solving a variety of statistical problems, for example, the numerical evaluation of probabilities and moments, optimization, experimental design including design of computer experiments and statistical inference."BOOK JACKET
11 editions published in 1994 in English and Undetermined and held by 224 WorldCat member libraries worldwide
"The application of numbertheoretic methods is a new, but rapidly expanding, branch of statistics. The Monte Carlo method is already established, with wide applications in science and technology. In applying it, however, a set of 'pseudo' random numbers is required for statistical simulation, and the use of these numbers often leads to unacceptably large errors." "The essence of the numbertheoretic method described in this book is to reduce such errors by using number theory to find a set of points (sometimes called quasi random numbers) which can then be regarded as the representatives of a given distribution. The numbertheoretic method is hence also known as the quasi or deterministic version of the Monte Carlo method." "Numbertheoretic Methods in Statistics gives the reader various methods of generating quasi random numbers and demonstrates their applications in solving a variety of statistical problems, for example, the numerical evaluation of probabilities and moments, optimization, experimental design including design of computer experiments and statistical inference."BOOK JACKET
Hua LooKeng : a biography by
Yuan Wang(
Book
)
25 editions published between 1994 and 2010 in 4 languages and held by 210 WorldCat member libraries worldwide
25 editions published between 1994 and 2010 in 4 languages and held by 210 WorldCat member libraries worldwide
Popularizing mathematical methods in the People's Republic of China : some personal experiences by
Luogeng Hua(
Book
)
10 editions published in 1989 in English and held by 202 WorldCat member libraries worldwide
Professor Hua LooKeng is the first person to have undertaken the task of popularizing mathematical methods in China. As early as 1958, he proposed that the application of operations research methods be initiated in industrial production. With his students, Yu MingI, Wan Zhe Xian and Wang Yuan, Professor Hua visited various transportation departments to promote mathematical methods for dealing with transportation problems, and a mass campaign was organized by them and other mathematicians to advance and apply linear programming methods to industrial production in Beijing and in Shandong province. However, due to the fact that these methods have limited applications and their computation is rather complex, their popularization and utilization in China have so far been restricted to a small number of sectors such as the above mentioned transportation departments. In 1958 Hua LooKeng proposed the use of InputOutput methods in the formulation of national economic plans. Apart from publicizing this method, he carried out indepth research on the subject. He also gave lectures on related nonnegative matrix theory, pointing out the economic significance of various theoretical results
10 editions published in 1989 in English and held by 202 WorldCat member libraries worldwide
Professor Hua LooKeng is the first person to have undertaken the task of popularizing mathematical methods in China. As early as 1958, he proposed that the application of operations research methods be initiated in industrial production. With his students, Yu MingI, Wan Zhe Xian and Wang Yuan, Professor Hua visited various transportation departments to promote mathematical methods for dealing with transportation problems, and a mass campaign was organized by them and other mathematicians to advance and apply linear programming methods to industrial production in Beijing and in Shandong province. However, due to the fact that these methods have limited applications and their computation is rather complex, their popularization and utilization in China have so far been restricted to a small number of sectors such as the above mentioned transportation departments. In 1958 Hua LooKeng proposed the use of InputOutput methods in the formulation of national economic plans. Apart from publicizing this method, he carried out indepth research on the subject. He also gave lectures on related nonnegative matrix theory, pointing out the economic significance of various theoretical results
The Goldbach conjecture by
Yuan Wang(
Book
)
14 editions published between 1984 and 2002 in English and held by 165 WorldCat member libraries worldwide
"This book provides a detailed description of a most important unsolved mathematical problem  the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture."Book cover
14 editions published between 1984 and 2002 in English and held by 165 WorldCat member libraries worldwide
"This book provides a detailed description of a most important unsolved mathematical problem  the Goldbach conjecture. Raised in 1742 in a letter from Goldbach to Euler, this conjecture attracted the attention of many mathematical geniuses. Several great achievements were made, but only until the 1920's. The book gives an exposition of these results and their impact on mathematics, particularly, number theory. It also presents (partly or wholly) selections from important literature, so that readers can get a full picture of the conjecture."Book cover
Calculus by
Yuen Fong(
Book
)
10 editions published between 1999 and 2000 in English and Italian and held by 120 WorldCat member libraries worldwide
10 editions published between 1999 and 2000 in English and Italian and held by 120 WorldCat member libraries worldwide
Selected papers of Wang Yuan by
Yuan Wang(
Book
)
16 editions published in 2005 in English and held by 69 WorldCat member libraries worldwide
"This volume presents a comprehensive collection of Wang Yuan's original important papers which are not available elsewhere, since the majority of the papers were published in China." "Covering both pure number theory and applied mathematics, this book is important for understanding Wang Yuan's academic career and also the development of Chinese mathematics in recent years, since Wang Yuan's work has a wideranging influence in China."Jacket
16 editions published in 2005 in English and held by 69 WorldCat member libraries worldwide
"This volume presents a comprehensive collection of Wang Yuan's original important papers which are not available elsewhere, since the majority of the papers were published in China." "Covering both pure number theory and applied mathematics, this book is important for understanding Wang Yuan's academic career and also the development of Chinese mathematics in recent years, since Wang Yuan's work has a wideranging influence in China."Jacket
China business culture : strategies for success by
Karen Wang(
Book
)
13 editions published between 2003 and 2008 in English and held by 34 WorldCat member libraries worldwide
13 editions published between 2003 and 2008 in English and held by 34 WorldCat member libraries worldwide
Hua Luogeng de shu xue sheng ya by
Yuan Wang(
Book
)
5 editions published between 2000 and 2005 in Chinese and held by 15 WorldCat member libraries worldwide
Ben shu shi cong shu xue xue shu yan jiu jiao du chan shu hua luo geng yi sheng de shu xue gong zuo,Dao lu tan suo ji qi si xiang yu fang fa de zhong yao zhu zuo.Zai ken ding hua luo geng cheng gong de tian fen,Ke ku deng yin su wai,Ben shu zhe zhong chan shu le hua luo geng zai shu xue yan jiu shang chao fan de xue shu pin ge he te shu de fang fa yu ji qiao,Cong er wei quan mian le jie hua luo geng de shu xue si xiang ti gong le zhong yao de can kao
5 editions published between 2000 and 2005 in Chinese and held by 15 WorldCat member libraries worldwide
Ben shu shi cong shu xue xue shu yan jiu jiao du chan shu hua luo geng yi sheng de shu xue gong zuo,Dao lu tan suo ji qi si xiang yu fang fa de zhong yao zhu zuo.Zai ken ding hua luo geng cheng gong de tian fen,Ke ku deng yin su wai,Ben shu zhe zhong chan shu le hua luo geng zai shu xue yan jiu shang chao fan de xue shu pin ge he te shu de fang fa yu ji qiao,Cong er wei quan mian le jie hua luo geng de shu xue si xiang ti gong le zhong yao de can kao
Wei ji fen by
Hanrong Wang(
Book
)
3 editions published between 2002 and 2014 in Chinese and held by 14 WorldCat member libraries worldwide
Ben shu gong 12 zhang, yi ci wei han shu, ji xian yu lian jie, dao shu yu wei fen, wei fen zhong zhi ding li ji ying yong, bu ding ji fen, ding ji fen ji qi ying yong, shi liang dai shu yu kong jian jie xi ji he, duo yuan han shu wei fen xue, zhong ji fen, qu xian ji fen yu qu mian ji fen, wu qiong ji shu ji chang wei fen fang cheng
3 editions published between 2002 and 2014 in Chinese and held by 14 WorldCat member libraries worldwide
Ben shu gong 12 zhang, yi ci wei han shu, ji xian yu lian jie, dao shu yu wei fen, wei fen zhong zhi ding li ji ying yong, bu ding ji fen, ding ji fen ji qi ying yong, shi liang dai shu yu kong jian jie xi ji he, duo yuan han shu wei fen xue, zhong ji fen, qu xian ji fen yu qu mian ji fen, wu qiong ji shu ji chang wei fen fang cheng
Wang Yuan wen ji = Wang Yuan selected papers by
Yuan Wang(
Book
)
3 editions published in 1999 in Chinese and held by 10 WorldCat member libraries worldwide
3 editions published in 1999 in Chinese and held by 10 WorldCat member libraries worldwide
Shu xue mo xing xuan tan by
Luogeng Hua(
Book
)
4 editions published between 1991 and 2011 in Chinese and held by 9 WorldCat member libraries worldwide
Ben shu xiang xi jie shao le 30 duo nian lai zai zhong guo gong ye bu men pu ji guo hou shu xue fang fa. nei rong she ji you xuan fa, tong chou fa, ji qi pai xu deng
4 editions published between 1991 and 2011 in Chinese and held by 9 WorldCat member libraries worldwide
Ben shu xiang xi jie shao le 30 duo nian lai zai zhong guo gong ye bu men pu ji guo hou shu xue fang fa. nei rong she ji you xuan fa, tong chou fa, ji qi pai xu deng
International symposium in memory of Hua Loo Keng by
Sheng Gong(
Book
)
10 editions published between 1991 and 2014 in English and held by 9 WorldCat member libraries worldwide
The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Prof. Hua Loo Keng was cosponsored by the Institute of Mathematics, Academia Sinica and the University of Science and Technology of China. lt took place between August Ist and 7th of 1988 on the campus of Tsing Hua University, and some 150 mathematicians were pres ent. The symposium was carried out in two separate sections: number theory and analysis. This is retlected in the publication ofa set oftwo volumes, the first one on Number Theory edited by Professor Wang Yuan and the second on Analysis by Professors Gong Sheng, Lu Qikeng and Yang Lo. The distinguished list of main speakers and the contents of these two vol umes reflect the high level of the mathematical activity throughout the seven days. W e pay special tribute to our main speakers professors Chuang, Conn, Ding, Drasin, Fitzgerald, Gaier, Gong, Grauert, Gu, Hejhal, Iyanaga, Karatsuba, Koranyi, Liao, Lu, Pan, Richert, Satake, Schmidt, Siu, Tatuzawa, Tsang, Vladimirov, Y. Wang, G.Y. Wang, Wüstholz and Yang, who gave the excellent one hour lectures, and also to the participants who gave contributed talks on their own research work. The discussions among the mathematicians were always in a warm atmosphere. Our thanks go to professors Chern, Subbarao and Yau for their contributions to these proceedings
10 editions published between 1991 and 2014 in English and held by 9 WorldCat member libraries worldwide
The international symposium on number theory and analysis in memory of the late famous Chinese mathematician Prof. Hua Loo Keng was cosponsored by the Institute of Mathematics, Academia Sinica and the University of Science and Technology of China. lt took place between August Ist and 7th of 1988 on the campus of Tsing Hua University, and some 150 mathematicians were pres ent. The symposium was carried out in two separate sections: number theory and analysis. This is retlected in the publication ofa set oftwo volumes, the first one on Number Theory edited by Professor Wang Yuan and the second on Analysis by Professors Gong Sheng, Lu Qikeng and Yang Lo. The distinguished list of main speakers and the contents of these two vol umes reflect the high level of the mathematical activity throughout the seven days. W e pay special tribute to our main speakers professors Chuang, Conn, Ding, Drasin, Fitzgerald, Gaier, Gong, Grauert, Gu, Hejhal, Iyanaga, Karatsuba, Koranyi, Liao, Lu, Pan, Richert, Satake, Schmidt, Siu, Tatuzawa, Tsang, Vladimirov, Y. Wang, G.Y. Wang, Wüstholz and Yang, who gave the excellent one hour lectures, and also to the participants who gave contributed talks on their own research work. The discussions among the mathematicians were always in a warm atmosphere. Our thanks go to professors Chern, Subbarao and Yau for their contributions to these proceedings
Lecture notes in contemporary mathematics 1989(
Book
)
2 editions published in 1990 in English and held by 8 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 8 WorldCat member libraries worldwide
Guan li xue ji chu(
Book
)
4 editions published between 2006 and 2011 in Chinese and held by 8 WorldCat member libraries worldwide
4 editions published between 2006 and 2011 in Chinese and held by 8 WorldCat member libraries worldwide
Shu lun zai jin si fen xi zhong de ying yong by
Luogeng Hua(
Book
)
3 editions published in 1978 in Chinese and held by 7 WorldCat member libraries worldwide
3 editions published in 1978 in Chinese and held by 7 WorldCat member libraries worldwide
Ren ben jie ke : Zhongguo min ying qi ye ren li zi yuan guan li mo shi by
Shuangjing Chen(
Book
)
3 editions published in 2007 in Chinese and held by 7 WorldCat member libraries worldwide
Ben shu wei rao zhe jiang jie ke kong gu ji tuan de ren li zi yuan guan li shi jian,Cong zhuan ye jiao du dui gai qi ye an li jin xing le shen ru de fen xi,Ji you xi tong de ren li zi yuan ti xi jie shao,You you sheng dong de an li fen xi
3 editions published in 2007 in Chinese and held by 7 WorldCat member libraries worldwide
Ben shu wei rao zhe jiang jie ke kong gu ji tuan de ren li zi yuan guan li shi jian,Cong zhuan ye jiao du dui gai qi ye an li jin xing le shen ru de fen xi,Ji you xi tong de ren li zi yuan ti xi jie shao,You you sheng dong de an li fen xi
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Related Identities
 Hua, Luogeng 19101985 Author
 Pan, Cheng biao Other Editor
 Yang, ChungChun 1942 Other Editor
 Heijmans, Johannes G. C. 1954 Translator Editor
 Fang, Kaitai Author
 Fong, Yuen Author
 Hua, LooKeng Author
 Goodfellow, Rob 1960
 Zhang, Xin Sheng
 Hua, Loo Keng Author
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Associated Subjects
Algebraic fields Algorithms Business ethics Business etiquette BusinesspeopleAttitudes Calculus CalculusStudy and teaching (Higher) China Corporate culture Differential equations, Partial Diophantine analysis Economic history Functional analysis Geometric probabilities Global analysis (Mathematics) Goldbach conjecture Hua, Luogeng, Industrial engineeringMathematics Inequalities (Mathematics) Joint ventures Management Mathematical analysis Mathematical models Mathematical optimization Mathematicians Mathematics Monte Carlo method Numbers, Prime Number theory Number theoryResearch Numerical analysis Operations research Operator algebras Personnel management
Alternative Names
Wang, Y 1930
Wang, Y. (Yuan), 1930
Wang Yüan
Wang, Yüan 1930
Wang Yuan Chinese mathematician
Wang, Yüan fl. 1963
Wang Yuan matemático chino
Wang Yuan wiskundige uit China
Yuan Wang.
Yuan, Wang 1930
Yuan Wang chinesischer Mathematiker
王元
王元 1930
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