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%%%% 216540:218256
\begin{edb:lecture}%
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\名称{代数学特論}{\EdbAlert{代数学特論}}%
\担当教員{\所属肩書氏名{システム創生工学専攻 電気電子創生工学コース 電気電子システム講座}{准教授}{\EdbSMG{水野}{}{義紀}}}%
\開講学期{}%
\履修種別{選択}%
\EdbColDef{edb:lecture.goal}{1}{E}{To learn some combinatorial techniques and tools such as generating functions.}%
\EdbColDef{edb:lecture.goal}{1}{J}{母関数の取り扱い方を習得する．母関数のもつ情報を読み取れるようにする．}%
\EdbColDef{edb:lecture.plan}{1}{E}{Some terms from set theory}%
\EdbColDef{edb:lecture.plan}{1}{J}{集合論の用語}%
\EdbColDef{edb:lecture.plan}{2}{E}{Euler's identity}%
\EdbColDef{edb:lecture.plan}{2}{J}{オイラーの恒等式}%
\EdbColDef{edb:lecture.plan}{3}{E}{Ferrars graph}%
\EdbColDef{edb:lecture.plan}{3}{J}{フェラーズ盤}%
\EdbColDef{edb:lecture.plan}{4}{E}{Generating function}%
\EdbColDef{edb:lecture.plan}{4}{J}{母関数}%
\EdbColDef{edb:lecture.plan}{5}{E}{Euler's theorem}%
\EdbColDef{edb:lecture.plan}{5}{J}{オイラーの定理}%
\EdbColDef{edb:lecture.plan}{6}{E}{Two variable generating function}%
\EdbColDef{edb:lecture.plan}{6}{J}{2変数母関数}%
\EdbColDef{edb:lecture.plan}{7}{E}{Euler's pentagonal number theorem}%
\EdbColDef{edb:lecture.plan}{7}{J}{オイラーの五角数定理}%
\EdbColDef{edb:lecture.plan}{8}{E}{Congruences}%
\EdbColDef{edb:lecture.plan}{8}{J}{分割数の満たす合同式}%
\EdbColDef{edb:lecture.plan}{9}{E}{The Rogers-Ramanujan identities I}%
\EdbColDef{edb:lecture.plan}{9}{J}{ロジャース・ラマヌジャン恒等式1}%
\EdbColDef{edb:lecture.plan}{10}{E}{Formulas of partition functions}%
\EdbColDef{edb:lecture.plan}{10}{J}{分割数の公式}%
\EdbColDef{edb:lecture.plan}{11}{E}{q-binomial coefficients}%
\EdbColDef{edb:lecture.plan}{11}{J}{二項係数とq-二項係数}%
\EdbColDef{edb:lecture.plan}{12}{E}{q-binomial theorem}%
\EdbColDef{edb:lecture.plan}{12}{J}{q-二項定理}%
\EdbColDef{edb:lecture.plan}{13}{E}{Jacobi's triple product identity}%
\EdbColDef{edb:lecture.plan}{13}{J}{ヤコビ三重積公式}%
\EdbColDef{edb:lecture.plan}{14}{E}{The Rogers-Ramanujan identities II}%
\EdbColDef{edb:lecture.plan}{14}{J}{ロジャース・ラマヌジャン恒等式2}%
\EdbColDef{edb:lecture.plan}{15}{E}{Applications}%
\EdbColDef{edb:lecture.plan}{15}{J}{応用}%
\EdbColDef{edb:lecture.plan}{16}{E}{Summary}%
\EdbColDef{edb:lecture.plan}{16}{J}{まとめ}%
\EdbColDef{edb:lecture.style}{1}{@}{60007}%
\EdbColDef{edb:lecture.style}{1}{E}{Lecture}%
\EdbColDef{edb:lecture.style}{1}{J}{講義}%
\EdbColDef{edb:lecture.unit}{1}{E}{2}%
\EdbColDef{edb:lecture.unit}{1}{J}{2}%
\EdbColDef{edb:lecture.target}{1}{E}{To learn some combinatorial techniques based on the theory of partitions.}%
\EdbColDef{edb:lecture.target}{1}{J}{整数の分割を中心に，組合せ論的手法を学ぶ．}%
\EdbColDef{edb:lecture.outline}{1}{E}{A partition of a natural number n is any non-increasing sequence of natural numbers whose sum is n.\ For example, there are three partions of 3, because 3=2+1=1+1+1.\ This class introduces some combinatorial techniques and tools such as generating functions based on several topics from the theory of partitions.}%
\EdbColDef{edb:lecture.outline}{1}{J}{整数の分割とは整数を自然数の和に分割する仕方である．例えば3の分割は3=2+1=1+1+1なので3通りある．整数の分割を主対象として組合せ論的な考え方，母関数の取り扱いについて学ぶ．}%
\EdbColDef{edb:lecture.keyword}{1}{E}{integer partition}%
\EdbColDef{edb:lecture.keyword}{1}{J}{整数の分割}%
\EdbColDef{edb:lecture.keyword}{2}{E}{generating function}%
\EdbColDef{edb:lecture.keyword}{2}{J}{母関数}%
\EdbColDef{edb:lecture.evaluation}{1}{E}{Assignments count 100\%.}%
\EdbColDef{edb:lecture.evaluation}{1}{J}{レポートにより評価する.}%
\EdbColDef{edb:lecture.evaluation2}{1}{E}{\EdbAlert{無}}%
\EdbColDef{edb:lecture.evaluation2}{1}{J}{無}%
\EdbColDef{edb:lecture.textbook}{1}{E}{Integer partitions.\ George Andrews,{\EdbZSp} Kimmo Eriksson,{\EdbZSp} Cambridge University Press}%
\EdbColDef{edb:lecture.textbook}{1}{J}{「整数の分割」 アンドリュ-ス・エリクソン (数学書房)}%
\EdbColDef{edb:lecture.reference}{1}{E}{An introduction to the theory of numbers.\ G.\ H.\ Hardy,{\EdbZSp} E.\ M.\ Wright,{\EdbZSp} Oxford University Press}%
\EdbColDef{edb:lecture.reference}{1}{J}{「数論入門 II」 ハーディー・ライト( シュプリンガー・フェアラーク東京)}%
\EdbColDef{edb:lecture.contact}{1}{J}{\連絡先個人{\EdbEMAIL{mizuno@pm.tokushima-u.ac.jp}{m{\HZSp[1]}i{\HZSp[1]}z{\HZSp[1]}u{\HZSp[1]}n{\HZSp[1]}o{\HZSp[1]}@{\HZSp[1]}p{\HZSp[1]}m{\HZSp[1]}.{\HZSp[1]}t{\HZSp[1]}o{\HZSp[1]}k{\HZSp[1]}u{\HZSp[1]}s{\HZSp[1]}h{\HZSp[1]}i{\HZSp[1]}m{\HZSp[1]}a{\HZSp[1]}-{\HZSp[1]}u{\HZSp[1]}.{\HZSp[1]}a{\HZSp[1]}c{\HZSp[1]}.{\HZSp[1]}j{\HZSp[1]}p}}{水野 (建設棟204, 088-656-7542, \EdbEMAIL{mizuno@pm.tokushima-u.ac.jp}{m{\HZSp[1]}i{\HZSp[1]}z{\HZSp[1]}u{\HZSp[1]}n{\HZSp[1]}o{\HZSp[1]}@{\HZSp[1]}p{\HZSp[1]}m{\HZSp[1]}.{\HZSp[1]}t{\HZSp[1]}o{\HZSp[1]}k{\HZSp[1]}u{\HZSp[1]}s{\HZSp[1]}h{\HZSp[1]}i{\HZSp[1]}m{\HZSp[1]}a{\HZSp[1]}-{\HZSp[1]}u{\HZSp[1]}.{\HZSp[1]}a{\HZSp[1]}c{\HZSp[1]}.{\HZSp[1]}j{\HZSp[1]}p})}{水曜17:00から18:00}}%
\end{edb:lecture}%

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%%%% 216540:218256
\begin{edb:lecture}%
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\名称{\EdbAlert{代数学特論}}{代数学特論}%
\担当教員{\所属肩書氏名{Electrical and Electronic Systems, Electrical and Electronic Engineering, Systems Innovation Engineering}{Associate Professor}{\EdbGMS{Yoshinori}{}{Mizuno}}}%
\開講学期{}%
\履修種別{selection}%
\EdbColDef{edb:lecture.goal}{1}{J}{母関数の取り扱い方を習得する．母関数のもつ情報を読み取れるようにする．}%
\EdbColDef{edb:lecture.goal}{1}{E}{To learn some combinatorial techniques and tools such as generating functions.}%
\EdbColDef{edb:lecture.plan}{1}{J}{集合論の用語}%
\EdbColDef{edb:lecture.plan}{1}{E}{Some terms from set theory}%
\EdbColDef{edb:lecture.plan}{2}{J}{オイラーの恒等式}%
\EdbColDef{edb:lecture.plan}{2}{E}{Euler's identity}%
\EdbColDef{edb:lecture.plan}{3}{J}{フェラーズ盤}%
\EdbColDef{edb:lecture.plan}{3}{E}{Ferrars graph}%
\EdbColDef{edb:lecture.plan}{4}{J}{母関数}%
\EdbColDef{edb:lecture.plan}{4}{E}{Generating function}%
\EdbColDef{edb:lecture.plan}{5}{J}{オイラーの定理}%
\EdbColDef{edb:lecture.plan}{5}{E}{Euler's theorem}%
\EdbColDef{edb:lecture.plan}{6}{J}{2変数母関数}%
\EdbColDef{edb:lecture.plan}{6}{E}{Two variable generating function}%
\EdbColDef{edb:lecture.plan}{7}{J}{オイラーの五角数定理}%
\EdbColDef{edb:lecture.plan}{7}{E}{Euler's pentagonal number theorem}%
\EdbColDef{edb:lecture.plan}{8}{J}{分割数の満たす合同式}%
\EdbColDef{edb:lecture.plan}{8}{E}{Congruences}%
\EdbColDef{edb:lecture.plan}{9}{J}{ロジャース・ラマヌジャン恒等式1}%
\EdbColDef{edb:lecture.plan}{9}{E}{The Rogers-Ramanujan identities I}%
\EdbColDef{edb:lecture.plan}{10}{J}{分割数の公式}%
\EdbColDef{edb:lecture.plan}{10}{E}{Formulas of partition functions}%
\EdbColDef{edb:lecture.plan}{11}{J}{二項係数とq-二項係数}%
\EdbColDef{edb:lecture.plan}{11}{E}{q-binomial coefficients}%
\EdbColDef{edb:lecture.plan}{12}{J}{q-二項定理}%
\EdbColDef{edb:lecture.plan}{12}{E}{q-binomial theorem}%
\EdbColDef{edb:lecture.plan}{13}{J}{ヤコビ三重積公式}%
\EdbColDef{edb:lecture.plan}{13}{E}{Jacobi's triple product identity}%
\EdbColDef{edb:lecture.plan}{14}{J}{ロジャース・ラマヌジャン恒等式2}%
\EdbColDef{edb:lecture.plan}{14}{E}{The Rogers-Ramanujan identities II}%
\EdbColDef{edb:lecture.plan}{15}{J}{応用}%
\EdbColDef{edb:lecture.plan}{15}{E}{Applications}%
\EdbColDef{edb:lecture.plan}{16}{J}{まとめ}%
\EdbColDef{edb:lecture.plan}{16}{E}{Summary}%
\EdbColDef{edb:lecture.style}{1}{@}{60007}%
\EdbColDef{edb:lecture.style}{1}{J}{講義}%
\EdbColDef{edb:lecture.style}{1}{E}{Lecture}%
\EdbColDef{edb:lecture.unit}{1}{J}{2}%
\EdbColDef{edb:lecture.unit}{1}{E}{2}%
\EdbColDef{edb:lecture.target}{1}{J}{整数の分割を中心に，組合せ論的手法を学ぶ．}%
\EdbColDef{edb:lecture.target}{1}{E}{To learn some combinatorial techniques based on the theory of partitions.}%
\EdbColDef{edb:lecture.outline}{1}{J}{整数の分割とは整数を自然数の和に分割する仕方である．例えば3の分割は3=2+1=1+1+1なので3通りある．整数の分割を主対象として組合せ論的な考え方，母関数の取り扱いについて学ぶ．}%
\EdbColDef{edb:lecture.outline}{1}{E}{A partition of a natural number n is any non-increasing sequence of natural numbers whose sum is n.\ For example, there are three partions of 3, because 3=2+1=1+1+1.\ This class introduces some combinatorial techniques and tools such as generating functions based on several topics from the theory of partitions.}%
\EdbColDef{edb:lecture.keyword}{1}{J}{整数の分割}%
\EdbColDef{edb:lecture.keyword}{1}{E}{integer partition}%
\EdbColDef{edb:lecture.keyword}{2}{J}{母関数}%
\EdbColDef{edb:lecture.keyword}{2}{E}{generating function}%
\EdbColDef{edb:lecture.evaluation}{1}{J}{レポートにより評価する.}%
\EdbColDef{edb:lecture.evaluation}{1}{E}{Assignments count 100\%.}%
\EdbColDef{edb:lecture.evaluation2}{1}{J}{無}%
\EdbColDef{edb:lecture.evaluation2}{1}{E}{\EdbAlert{無}}%
\EdbColDef{edb:lecture.textbook}{1}{J}{「整数の分割」 アンドリュ-ス・エリクソン (数学書房)}%
\EdbColDef{edb:lecture.textbook}{1}{E}{Integer partitions.\ George Andrews,{\EdbZSp} Kimmo Eriksson,{\EdbZSp} Cambridge University Press}%
\EdbColDef{edb:lecture.reference}{1}{J}{「数論入門 II」 ハーディー・ライト( シュプリンガー・フェアラーク東京)}%
\EdbColDef{edb:lecture.reference}{1}{E}{An introduction to the theory of numbers.\ G.\ H.\ Hardy,{\EdbZSp} E.\ M.\ Wright,{\EdbZSp} Oxford University Press}%
\EdbColDef{edb:lecture.contact}{1}{E}{\連絡先個人{\EdbEMAIL{mizuno@pm.tokushima-u.ac.jp}{m{\HZSp[1]}i{\HZSp[1]}z{\HZSp[1]}u{\HZSp[1]}n{\HZSp[1]}o{\HZSp[1]}@{\HZSp[1]}p{\HZSp[1]}m{\HZSp[1]}.{\HZSp[1]}t{\HZSp[1]}o{\HZSp[1]}k{\HZSp[1]}u{\HZSp[1]}s{\HZSp[1]}h{\HZSp[1]}i{\HZSp[1]}m{\HZSp[1]}a{\HZSp[1]}-{\HZSp[1]}u{\HZSp[1]}.{\HZSp[1]}a{\HZSp[1]}c{\HZSp[1]}.{\HZSp[1]}j{\HZSp[1]}p}}{Mizuno (A204, +81-88-656-7542, \EdbEMAIL{mizuno@pm.tokushima-u.ac.jp}{m{\HZSp[1]}i{\HZSp[1]}z{\HZSp[1]}u{\HZSp[1]}n{\HZSp[1]}o{\HZSp[1]}@{\HZSp[1]}p{\HZSp[1]}m{\HZSp[1]}.{\HZSp[1]}t{\HZSp[1]}o{\HZSp[1]}k{\HZSp[1]}u{\HZSp[1]}s{\HZSp[1]}h{\HZSp[1]}i{\HZSp[1]}m{\HZSp[1]}a{\HZSp[1]}-{\HZSp[1]}u{\HZSp[1]}.{\HZSp[1]}a{\HZSp[1]}c{\HZSp[1]}.{\HZSp[1]}j{\HZSp[1]}p})}{\EdbAlert{水曜17:00から18:00}}}%
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