一、課程說明(Course Desc<x>ription)
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<br>本課程以訓練嚴謹的邏輯推導、撰寫明確的證明、流利的口語表達為手段，追求如何思考、如何
<br>有效的學習為目標。
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<br>本課程內容探討歐幾里德空間的點集拓樸，以及多變數函數之解析理論。本學期將介紹以下題
<br>材：
<br>1. The Topology of Euclidean space.
<br>2. Compact and connected sets.
<br>3. Continous mappings.
<br>4. Uniform convergence.
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<br>二、指定用書(Text Books)
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<br>J. E. Marsden and M. J. Hoffman, Elementary Classical Analysis, second 
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<br> 三、參考書籍(References)
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<br>(1) D. Widder, Advanced Calculus.
<br>(2) T. Apostal, Advanced Calculus.
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<br> 四、教學方式(Teaching Method)
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<br>黑板授課
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<br> 五、教學進度(Syllabus)
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<br>循序漸進
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<br> 六、成績考核(Evaluation)
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<br>演習課習題小考30%， 期中考一30%， 期中考二 30%，期末考30%
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<br> 七、可連結之網頁位址
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