Doctor of Philosophy in Mathematics - Number Theory

加州大学圣塔芭芭拉分校

US

QS排名:

  • 学历文凭

    Ph.D.

  • 专业院系

    数学

  • 开学时间

  • 课程时长

  • 课程学费

    汇率提示

国际学生入学条件

To be considered for admission to UCSB, applicants must have received a bachelor's degree or its equivalent (with a cumulative grade point average of 3.0 or better) from an accredited university prior to the quarter for which admission is sought.

completed an undergraduate or graduate degree at an institution whose primary language of instruction is English. The minimum score for consideration is 550 when taking the paper-based TOEFL, or 80 when taking the internet-based test, some departments require a higher score. Applicants must make arrangements to take the TOEFL directly with ETS (www.ets.org). Scores should be reported to UCSB using institution code 4835. TOEFL scores must be no more than two years old at the time of application submission. UCSB also considers a minimal score of 7 on the IELTS as an alternative to the TOEFL. IELTS scores must be no more than two years old at the time of application submission
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雅思考试总分

7.0

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  • 雅思总分:7
  • 托福网考总分:80
  • 托福笔试总分:550
  • 其他语言考试:NA
CRICOS代码:
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课程简介

Number theory abounds in problems that are easy to state, yet difficult to solve. An example is Fermat's Last Theorem, stated by Pierre de Fermat about 350 years ago. Finding a proof of this theorem resisted the efforts of many mathematicians who developed new techniques in number theory, for example with the theory of elliptic curves over finite fields. A proof of Fermat's Last Theorem was finally presented by Andrew Wiles in 1995 in a landmark paper in the Annals of Mathematics.<br><br>Another famous problem from number theory is the Riemann hypothesis. This problem asks for properties of the Riemann zeta function, a function which plays a fundamental role in the distribution of prime numbers. Although it is over one hundred years old the Riemann hypothesis is still unresolved, in fact, the Clay Mathematics Institute has offered a prize of one million dollars for its solution.
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