通年集中 その他 その他. 単位数/Credit(s): 8. 担当教員/Instructor : 三柴 善範. 学期/Semester: 通年集中. 開講年度/Year: 2024. 科目ナンバリング/Course code/number: SMA-MAT401J. 使用言語/Language Used in Course: 日本語.
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代数学講座
整数論の基礎
Foundations of number theory
整数論の基礎を扱った文献を精密に読み込み、同時にその内容を他者に説明する技術を身につける。
To read textbooks on the foundations of number theory carefully, as well as to develop ability to explain its context to others.
整数論に関する基礎と技術を身に付ける。
Learn the foundations and skills concerning number theory.
整数論に関するテキストを読み、学んだ内容を他の参加者に対して発表する。進度よりも内容の理解を重視する。
Students will read a textbook in number theory and lecture to the other participants about the contents.
セミナーにおける発表と質疑応答の内容により評価する。
Course grades will be based on presentations and discussion in the seminar.
[1] J. Neukirch, Algebraic number theory, Grundlehren Math. Wiss., 322 [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin, 1999. xviii+571 pp.
[2] J.-P. Serre, A course in arithmetic, Grad. Texts in Math., 7, Springer-Verlag, New York-Heidelberg, 1973. viii+115 pp.
[3] J. H. Silverman, The arithmetic of elliptic curves, Second edition, Grad. Texts in Math., 106, Springer, Dordrecht, 2009. xx+513 pp.
[4] H. Stichtenoth, Algebraic function fields and codes, Second edition, Grad. Texts in Math., 254, Springer-Verlag, Berlin, 2009. xiv+355 pp.
[1] J. Neukirch, Algebraic number theory, Grundlehren Math. Wiss., 322 [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin, 1999. xviii+571 pp.
[2] J.-P. Serre, A course in arithmetic, Grad. Texts in Math., 7, Springer-Verlag, New York-Heidelberg, 1973. viii+115 pp.
[3] J. H. Silverman, The arithmetic of elliptic curves, Second edition, Grad. Texts in Math., 106, Springer, Dordrecht, 2009. xx+513 pp.
[4] H. Stichtenoth, Algebraic function fields and codes, Second edition, Grad. Texts in Math., 254, Springer-Verlag, Berlin, 2009. xiv+355 pp.
発表の準備と復習を欠かさないこと。
Students are required to prepare and review their presentations.