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出版社:哈爾濱工業大學
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ISBN:9787560335766
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作者:(美)安德魯斯|校注:劉培傑數學工作室
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頁數:525
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出版日期:2012-05-01
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印刷日期:2012-05-01
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包裝:平裝
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開本:16開
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版次:1
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印次:1
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字數:375千字
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W.S.Andrew所著的,劉培傑數學工作室編寫的《幻方和魔方》研究幻方和魔方所具備的特性及構築方法,生動地展示幻方和魔方的神奇之處。主要包括幻方的數學研究,六階幻方,幻方類型,構造方法,幻圓等十五章內容。
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W.S.Andrew所著,劉培傑數學工作室編寫的《幻方和魔方》列舉諸多幻
方和魔方的例子,研究幻方和魔方所具備的特性及構築方法,生動地展示幻
方和魔方的神奇之處。主要包括幻方的數學研究,六階幻方,幻方類型,構
造方法,幻圓等十五章內容。
《幻方和魔方》適合在校學生的學習研究,以及幻方和魔方愛好者作為
興趣讀物。
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CHAPTER Ⅰ. MAGIC SQUARES THE ESSENTIAL CHARACTERISTICS OF MAGIC SQUARES ASSOCIATED OR REGULAR MAGIC SQUARES OF ODD NUMBERS ASSOCIATED OR REGULAR MAGIC SQUARES OF EVEN NUMBERS THE CONSTRUCTION OF EVEN MAGIC SQUARES BY DE LA HIRE'S METHOD COMPOSITE MAGIC SQUARES CONCENTRIC MAGIC SQUARES GENERAL NOTES ON TIIE CONSTRUCTION OF MAGIC SQUARES CHAFFER Ⅱ. MAGIC CUBES THE ESSENTIAL CHARACTERISTICS OF MAGIC CUBES ASSOCIATED OR REGULAR MAGIC CUBES OF ODD NUMBERS ASSOCIATED OR REGULAR MAGIC CUBES OF EVEN NUMBERS GENERAL NOTES ON MAGIC CUBES CHAFFER Ⅲ. THE FRANKLIN SQUARES AN ANALYSIS OF THE FRANKLIN SQUARES CHAPIER Ⅳ. REFLECTIONS ON MAGIC SQUARES THE ORDER OF FIGURES MAGIC SQUARES IN SYMBOLS THE MAGIC SQUARE IN CHINA THE JAINA SQUARE CHAPTER Ⅴ. A MATHEMATICAL STUDY OF MAGIC SQUARES A NEW ANALYSIS NOTES ON NUMBER SERIES USED IN THE CONSTRUCTION OF MAGIC SQUARES CHAPTER Ⅵ. MAGICS AND PYTHAGOREAN NUMBERS MR. BROWNE'S SQUARE AND LUSUS NUMERORUM CHAPTER Ⅶ. SOME CURIOUS MAGIC SQUARES AND COMBINATIONS CHAPTER Ⅷ. NOTES ON VARIOUS CONSTRUCTIVE PLANS BY WHICH MAGIC SQUARES MAY BE CLASSIFIED THE MATHEMATICAl. VALUE OF MAGIC SQUARES CHAPTER Ⅸ. MAGIC CUBES OF THE SIXTH ORDER A "FRANKLIN" CUBE OF SIX A MAGIC CUBE OF SIX MAGIC CUBE OF SIX CHAPTER Ⅹ. VARIOUS KINDS OF MAGIC SQUARES OVERLAPPING MAGIC SQUARES ODDLY-EVEN MAGIC SQUARES NOTES ON ODDLY-EVEN MAGIC SQUARES NOTES ON PANDIAGONAL AND ASSOCIATED MAGIC SQUARES SERRATED MAGIC SQUARES LOZENGE MAGIC SQUARES CHAPTER Ⅺ. SUNDRY CONSTRUCTIVE METHODS A NEW METHOD FOR MAKING MAGIC SUQARES OF ODD ORDERS THE CONSTRUCTION OF MAGIC SQUARES AND RECTANGLES BY THE METHOD OF "COMPLEMENTARY DIFFERENCES" NOTES ON THE CONSTRUCHON OF MAGIC SQUARES OF ORDERS WHICH n IS OF THE GENERAL FORM 4 p +2 NOTES ON THE CONSTRUCTION OF MAGIC SQUARES OF ORDERS IN WHICH n IS OR THE GENERAL FORM 8p+2 GEOMETRIC MAGIC SQUARES AND CURES CHAPTER Ⅻ. THE THEORY OF REVERSIONS CHAPTER ⅩⅢ MAGIC CIRCLES, SPHERES AND STARS MAGIC CIRCLES MAGIC SPHERES MAGIC STARS CHAPTER ⅩⅣ. MAGIC OCTAHEDROIDS MAGIC IN THE FOURTH DIMENSION FOUR-FOLD MAGICS CHAPTER ⅩⅤ. ORNATE MAGIC SQUARES GENERAL RULE FOR CONSTRUCTING ORNATE MAGIC SQUARES OF ORDERS=0 (mod 4) ORNATE MAGIC SQUARES OF COMPOSITE ODD ORDERS THE CONSTRUCTION OF ORNATE MAGIC SQUARES OF ORDERS 8, 12 AND 16 BY TABLES THE CONSTRUCTION OF ORNATE MAGIC SQUARES OF ORDER 16 BY MAGIC RECTANGLES PANDIAGONAL-CONCENTRIC MAG1C SQUARES OF ORDERS 4m 編輯手記
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