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    The development of the mathematical sciences is an important part of teaching and research at Peking University. As early as 1904, "School Regulation" determined by the Emperor, the first complete schooling regulation issued by the government in Chinese history, stated that "Advanced Calculation Subject" belonged to "Ge Zhi Ke" (now known as the science department) and the required and supplementary courses of "Calculation Subject Men" ("Men" means department"). After the Revolution of 1911, the Metropolitan University was renamed Peking University on May 1, 1912. "The University Schooling and Subjects Formulated in the First Year of the Republic of China", a decree released by the government in 1912, changed "Ge Zhi Ke" into the science department, which included the mathematics department. In the fall of 1913, the Mathematics Department of Peking University began enrolling students, symbolizing the official beginning of teaching by the first university mathematics department in modern China.
    In January 1917, Mr. Cai Yuanpei took on the presidency of Peking University, leading the University into a new stage of development. In the fall of 1919, Peking University changed "Men" into department. When deciding the order of all departments, Mr. Cai Yuanpei stated, "The mission of all universities is that those engaged in the philosophy, literature and applied sciences, shall start with pure sciences; those engaged in pure sciences, shall start with mathematics. Therefore, the mathematics department shall be listed as the first among all departments." Today, the School of Mathematical Sciences is still listed as the first among all departments at Peking University.

    In the fall of 1952, the government conducted a nationwide readjustment of colleges and universities with the aim of satisfying the needs of the far-reaching economic development of the country. The three mathematics departments at Peking University, Tsinghua University, and Yenching University merged into the new Department of Mathematics and Mechanics at Peking University. In 1969, the Mechanics Subject changed into the Mechanics Department at Han Zhong in Shanxi Province. In 1985, the Probability and Statistics Subject formed the Department of Probability and Statistics. To promote its development, Peking University established the School of Mathematical Sciences in 1995 on the basis of the Department of Mathematics and the Department of Probability and Statistics.

    During the past 90 years, thanks to the painstaking efforts and hard work of several generations, the field of mathematics at Peking University takes on a new look. It continues its strides in teaching, research and other related work; it has a large contingent of outstanding mathematicians and computer scientists -- 16 graduates have been elected as members of the Chinese Academy of Sciences; and it has several thousands of undergraduates, over 600 Master's degree graduates, and around 100 Doctoral graduates who are engaged in many fields in and outside the country -- some work as core members in their respective fields, some work as prominent entrepreneurs, and some have received acclaim from all circles in society.
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    The School of Mathematical Sciences is now composed of five departments: Department of Mathematics, Department of Probability and Statistics, Department of Scientific and Engineering Computing, Department of Informatics, and Department of Financial Mathematics. As a research organization approved by the State Education Commission, now the Ministry of education, the Institute of Mathematics at Peking University is closely integrated with the School of Mathematical Sciences, while the Institute of Mathematical Statistics combines with the Department of Probability and Statistics. The State Special Laboratory of Mathematics and Application was set up after the approval of the State Education Commission (now the Ministry of education). Mathematics Research and the High Level Talents Training Center in the University, under the State Education Commission, is within the School of Mathematical Sciences. The editorial departments of several national academic magazines such as Advances in Mathematics and Approximation Theory and its Applications are also in the School of Mathematical Sciences.
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    The undergraduate program of the School of Mathematical Science has been selected by the state as the Natural Science Basic Research and Teaching Personnel Training Center. The School seeks to strengthen its students' command of basic knowledge, encourage its students to select courses outside their respective majors, teach its students in accordance with their aptitude, and improve their ability to adjust to society. All students from the five departments will take approximately the same compulsory courses during their first two years. These courses include: mathematical analysis, high algebra, high geometry, theory of probability, computer sciences, English, political science, physics and physical sciences. Beginning in their second academic year, students can select part of the courses offered by the School according to the requirements of different departments; some courses are required courses for some departments while serving as optional courses for other departments. The School offers many special courses: ordinary differential equation, partial differential equation, real function, complex function, functional analysis, abstract algebra, differential geometry, topology, measure theory, mathematical statistics, applied stochastic process, applied time series analysis, applied multivariate statistical analysis, experimental design and quality management, sampling investigation, statistical computation, insurance mathematics, mathematical modeling, numerical value algebra, numerical value analysis, computing fluid mechanics, data structure, software design and optimization, discrete mathematics, general introduction to information science, model identification, artificial intelligence, decision making and optimization, etc. Students can also select courses offered by other schools or departments such as the School of Economics, School of Management, Department of Law, or Department of Computer Sciences.

    Graduates trained at this School have established a solid foundation of basic theories and amassed a wide range of knowledge. Having undergone rigorous mathematical training and technical computer training, they can adjust themselves to different circumstances. Graduates of the School are fully prepared for scientific research; teaching in the various fields related to mathematics or inter- disciplinary fields such as the computer sciences, information sciences and financial insurance, as well as high tech units; and, applied research in the areas of scientific development or management. Some graduates can also further their studies by pursuing Master's and Doctoral degrees in mathematics or other related subjects; outstanding undergraduates can be recommended to continue for Master's degree without taking qualifying examinations.

    Approved by the Academic Degree Committee of the State Council, the School of Mathematical Sciences is able to confer Doctoral degrees to students in every field of the mathematical sciences as long as the student has completed the required courses and dissertation, and meets the requirements for Doctoral degrees. The School opens a total of 145 compulsory and optional courses for students. According to the short term plan, each year the School enrolls 30 Doctoral candidates, 50 to 60 Master's candidates, and 160 undergraduates, as well as 60 students for a professional training course titled, "Applied Software". Presently, 87 Doctoral students, 127 Master's students, and 548 undergraduates are students of the School. The four doctoral subjects within the School have post-doctoral research stations. Additionally, in order to contribute to advanced research and teaching personnel for the nation, each year the School hosts a certain number of visiting scholars and teachers.
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    The School of Mathematical Sciences has a contingent of teachers and researchers with extensive research interests, profound knowledge, and well-knit scholarly work. The School has over 140 teachers, among which 5 are members of the Chinese Academy of Sciences, 2 are members of the Third World Academy of Sciences, 70 are full professor, 44 are associate professors, and 38 are doctoral supervisors. The School not only has a number of old professors who are outstanding scholars and academic leaders in mathematical circles around the nation such as Duan Xuefu (Algebra), Cheng Mingde (Analysis, Information Science), Jiang Boju (Topology), Kung-ching CHANG(Analysis), and Shi Qingyun (Information Science), but also a number of knowledgeable middle-aged teachers, who have high academic attainments and are specialized in different fields, comprising the mainstream in research and teaching. More gratifying is that, since the mid-1980's, a large number of young scholars, who have be enconferred Doctoral and Master's degree by foreign universities, have gradually returned to join the faculty of the School. These young scholars are very active in academic thinking, experienced and knowledgeable, and full of vigor and vitality. With the support and assistance from elder professors, these young scholars play an important role in research and teaching; some of them have become academic leaders in their respective fields.

    In order to improve the quality of teaching and the level of research, faculty members in the School are active in writing academic books, publishing approximately 220 coursebooks, monographs and translation works between 1980 to 1997. In the past decade, 11 coursebooks written by experienced senior professors have won the Nationwide University and State Education Commission Excellent Coursebook Award, two of which have won the Nationwide University Excellent Coursebook Special Prize.

    Faculty members in the School have frequently produced original research results and published numerous academic papers; dozens of their research findings have won awards which have received high acclaim from leaders and academic circles. Since 1987, the School has been awarded 1 first class prize, 2 second class prizes, 6 third class prizes, and 1 fourth class prize from the State Award for Natural Science. From the State Award for Science and Technology Progress (cooperated with external institutions), the School has been awarded 1 special prize, 1 first class prize, 1 second class prize and 2 third class prizes. The State Commission Award for Science and Technology Progress has awarded the School 9 first class prizes, 20 second class prizes and 4 third class prizes. The School has received 5 awards for science and technology progress from other ministries as well. Furthermore, two professors in the School have won the Award in Mathematics of the Third World Academy of Science, three professors have won award of HeLiangHeLi Foundation Science and Technology Progress, and three professors have won S.S. Chern Award in Mathematics.

    Faculty members have a wide range of research fields including differential dynamical system, non-linear analysis, harmonic analysis, complex analysis, topology, group theory, algebraic number theory and algebraic geometry, graph theory, combinatorial mathematics, differential equation, differential geometry, mathematical physics, information science, computational mathematics, probability and statistics, etc.

    Peking University Library has a variety of mathematical books and periodicals, which ensures the fulfillment of scientific research and training personnel. In order to further its command in modern scientific research methods and strengthen their students' ability to employ computer skills, the School set up four laboratories: Central Laboratory, Statistics Laboratory, Scientific and Engineering Computation Laboratory and Information Laboratory, which have 14 work stations and more than 250 PCs. These laboratories are mainly used by faculty members and graduate students. Peking University established a computer center which provides good computer services for its students.
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    Since 1978, the School of Mathematical Sciences (including the former Department of Mathematics and Department of Probability and Statistics) have sent over 100 faculty members to countries and regions including the Untied States, United Kingdom, France, Germany, Italy, Australia, former Soviet Union, Russia, Spain, Netherlands, Belgium, Sweden, Finland, Poland, Japan, Republic of Korea, Canada, Hong Kong, Macao, and Taiwan to either study or conduct cooperative research. The School has also sent dozens of scholars outside the country each year for short term visiting or attending international conferences. In the meantime, the School tries every possible way to invite world renowned mathematicians to give lectures, numbering around 20 every year. For instance, the famous mathematicians and Wolfe Award winners S.S. Chern, F. Hirzebruch, K. Ito, as well as Fields Award winners S. Smale and Shing Tung Yau, and others have been invited to give academic lectures at the School of Mathematical Sciences. Furthermore, S.S.Chern and Fan Ky are Honorary Professors of Peking University; C. Asano, Shui Kee Chow, P.Griffiths, L. De Haan, C.C. Lin, Shing Tung Yau are Guest Professors of Peking University.

    The methods of sending faculty abroad for advanced study and inviting renowned mathematicians to give lectures ensures that the School will remain abreast of the latest research findings and developmental trends in international mathematical research and teaching. Consequently, this promotes international academic exchange and cooperation, and acts as an impetus for enhancing the School's scientific research.
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    Highlighted by the first class teaching and research environment, strong faculty, and glorious history, the School of Mathematical Sciences attracts the most outstanding students from all over China. Excellent student sources have ensured the first rate quality of the School of Mathematical Sciences. Among the winners of the Nationwide Mathematics Contest in the past years, many expressed their hopes to be enrolled in this School. For example, among the 1997 freshmen, 6 are gold medal winners and 1 a bronze medal winner of the International Mathematics Olympic. Many excellent students in the key Middle Schools around the country also applied for the School of Mathematical Sciences; for instance, 6 students out of those who had won gold medals in Nationwide Mathematics Winter Camp, who had been selected into the National Training Team, applied for the School in 1998 alone.

    The School of Mathematical Sciences has a very good environment for fostering young talents; meanwhile, it has established a number of scholarships for students including the Three-A Students Scholarship, Newcomer Scholarship, Model Student Scholarship, Outstanding Students Scholarship, Guanghua Scholarship, Aetna Scholarship, Huikai Scholarship, Motorola Scholarship, Orient Overseas Container Line Ltd. Scholarship, Sumitomo Bank Scholarship, Baoshan Iron and Steel Company Scholarship, P & G Scholarship, Huawei Scholarship, Jiang Zehan Scholarship, Xu Baolu Scholarship, Nine-Chapter Mathematics Scholarship, etc. In addition, the School of Mathematical Sciences established special scholarships such as the "Promoting China Scholarship", with an annual fund of 180,000 Yuan RMB, and the "Talents Project Fund in Year 2002" with a total sum of 200,000 Yuan RMB.

    The School of Mathematical Sciences at Peking University enjoys a glorious tradition, strong faculty, and excellent academic atmosphere. It is the best place for people deeply engrossed in mathematical sciences; it is a sacred place for scholars engaged in mathematical sciences and computer science research; and it is the first choice for students at the starting line of their lives.
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