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幻方和魔方【2025|PDF下载-Epub版本|mobi电子书|kindle百度云盘下载】

W. S. Andrew著著
出版社：哈尔滨：哈尔滨工业大学出版社
ISBN：9787560335766
出版时间：2012
标注页数：525页
文件大小：56MB
文件页数：545页
主题词：组合数学－青年读物；组合数学－少年读物

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图书目录

CHAPTER Ⅰ．MAGIC SQUARES1

THE ESSENTIAL CHARACTERISTICS OF MAGIC SQUARES1

ASSOCIATED OR REGULAR MAGIC SQUARES OF ODD NUMBERS2

ASSOCIATED OR REGULAR MAGIC SQUARES OF EVEN NUMBERS24

THE CONSTRUCTION OF EVEN MAGIC SQUARES BY DE LA HIRE'S METHOD43

COMPOSITE MAGIC SQUARES55

CONCENTRIC MAGIC SQUARES58

GENERAL NOTES ON THE CONSTRUCTION OF MAGIC SQUARES67

CHAPTER Ⅱ．MAGIC CUBES80

THE ESSENTIAL CHARACTERISTICS OF MAGIC CUBES80

ASSOCIATED OR REGULAR MAGIC CUBES OF ODD NUMBERS81

ASSOCIATED OR REGULAR MAGIC CUBES OF EVEN NUMBERS96

GENERAL NOTES ON MAGIC CUBES104

CHAPTER Ⅲ．THE FRANKLIN SQUARES110

AN ANALYSIS OF THE FRANKLIN SQUARES119

CHAPTER Ⅳ．REFLECTIONS ON MAGIC SQUARES139

THE ORDER OF FIGURES139

MAGIC SQUARES IN SYMBOLS148

THE MAGIC SQUARE IN CHINA150

THE JAINA SQUARE155

CHAPTER Ⅴ．A MATHEMATICAL STUDY OF MAGIC SQUARES159

A NEW ANALYSIS159

NOTES ON NUMBER SERIES USED IN THE CONSTRUCTION OF MAGIC SQUARES170

CHAPTER Ⅵ．MAGICS AND PYTHAGOREAN NUMBERS181

MR. BROWNE'S SQUARE AND LUSUS NUMERORUM197

CHAPTER Ⅶ．SOME CURIOUS MAGIC SQUARES AND COMBINATIONS204

CHAPTER Ⅷ．NOTES ON VARIOUS CONSTRUCTIVE PLANS BY WHICH MAGIC SQUARES MAY BE CLASSIFIED222

THE MATHEMATICAL VALUE OF MAGIC SQUARES233

CHAPTER Ⅸ．MAGIC CUBES OF THE SIXTH ORDER235

A "FRANKLIN" CUBE OF SIX236

A MAGIC CUBE OF SIX245

MAGIC CUBE OF SIX250

CHAPTER Ⅹ．VARIOUS KINDS OF MAGIC SQUARES258

OVERLAPPING MAGIC SQUARES258

ODDLY-EVEN MAGIC SQUARES271

NOTES ON ODDLY-EVEN MAGIC SQUARES283

NOTES ON PANDIAGONAL AND ASSOCIATED MAGIC SQUARES288

SERRATED MAGIC SQUARES305

LOZENGE MAGIC SQUARES308

CHAPTER Ⅺ．SUNDRY CONSTRUCTIVE METHODS313

A NEW METHOD FOR MAKING MAGIC SUQARES OF ODD ORDERS313

THE CONSTRUCTION OF MAGIC SQUARES AND RECTANGLES BY THE METHOD OF "COMPLEMENTARY DIFFERENCES"325

NOTES ON THE CONSTRUCTION OF MAGIC SQUARES OF ORDERS IN WHICH n IS OF THE GENERAL FORM 4p+2337

NOTES ON THE CONSTRUCTION OF MAGIC SQUARES OF ORDERS IN WHICH n IS OR THE GENERAL FORM 8p+2351

GEOMETRIC MAGIC SQUARES AND CUBES358

CHAPTER Ⅻ．THE THEORY OF REVERSIONS373

CHAPTER ⅩⅢ．MAGIC CIRCLES, SPHERES AND STARS406

MAGIC CIRCLES406

MAGIC SPHERES417

MAGIC STARS426

CHAPTER ⅩⅣ．MAGIC OCTAHEDROIDS440

MAGIC IN THE FOURTH DIMENSION440

FOUR-FOLD MAGICS455

CHAPTER ⅩⅤ．ORNATE MAGIC SQUARES474

GENERAL RULE FOR CONSTRUCTING ORNATE MAGIC SQUARES OF ORDERS≡0(mod 4)474

ORNATE MAGIC SQUARES OF COMPOSITE ODD ORDERS483

THE CONSTRUCTION OF ORNATE MAGIC SQUARES OF ORDERS 8,12 AND 16 BY TABLES492

THE CONSTRUCTION OF ORNATE MAGIC SQUARES OF ORDER 16 BY MAGIC RECTANGLES508

PANDIAGONAL-CONCENTRIC MAGIC SQUARES OF ORDERS 4m515

编辑手记523