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解析の基礎となる"級数"のさまざまな姿を取り上げ,その全貌を基礎からヒルベルト空間まで解説〔内容〕基礎概念(数列と極限/数列の収束判定条件)/数級数/函数項級数/函数の級数展開/複素級数/解析函数/ノルム空間における級数/他。初版1967年5月30日刊。