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History of Mathematics, Vol. 2
We do not plan to review this book.
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CHAPTER |
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I. |
DEVELOPMENT OF THE ARITHMETICA |
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1. |
GENERAL SURVEY |
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2. |
THE SEVEN LIBERAL ARTS |
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3. |
EARLY WRITERS ON NUMBER THEORY |
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4. |
NAMES FOR ARITHMETIC |
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5. |
ELEMENTARY CLASSIFICATIONS OF NUMBER |
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6. |
UNITY |
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7. |
LATER DEVELOPMENTS |
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TOPICS FOR DISCUSSION |
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II. |
LOGISTIC OF NATURAL NUMBERS |
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1. |
FUNDAMENTAL OPERATIONS |
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2. |
READING AND WRITING NUMBERS |
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3. |
ADDITION |
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4. |
SUBTRACTION |
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5. |
MULTIPLICATION |
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6. |
DIVISION |
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7. |
ROOTS |
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8. |
CHECKS ON OPERATIONS |
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TOPICS FOR DISCUSSION |
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III. |
MECHANICAL AIDS TO CALCULATION |
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1. |
THE ABACUS |
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2. |
FINGER RECKONING |
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3. |
MODERN CALCULATING MACHINES |
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TOPICS FOR DISCUSSION |
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IV. |
ARTIFICIAL NUMBERS |
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1. |
COMMON FRACTIONS |
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2. |
SEXAGESIMAL FRACTIONS |
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3. |
DECIMAL FRACTIONS |
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4. |
SURD NUMBERS |
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5. |
NEGATIVE NUMBERS |
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6. |
COMPLEX NUMBERS |
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7. |
TRANSCENDENTAL NUMBERS |
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TOPICS FOR DISCUSSION |
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V. |
GEOMETRY |
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1. |
GENERAL PROGRESS OF ELEMENTARY GEOMETRY |
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2. |
NAME FOR GEOMETRY |
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3. |
TECHNICAL TERMS OF EUCLIDEAN GEOMETRY |
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4. |
AXIOMS AND POSTULATES |
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5. |
TYPICAL PROPOSITIONS OF PLANE GEOMETRY |
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6. |
TYPICAL PROPOSITIONS OF SOLID GEOMETRY |
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7. |
THE THREE FAMOUS PROBLEMS |
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8. |
ANALYTIC GEOMETRY |
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9. |
MODERN GEOMETRY |
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10. |
PERSPECTIVE AND OPTICS |
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11. |
INSTRUMENTS IN GEOMETRY |
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12. |
THE PROBLEM OF EARTH MEASURE |
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TOPICS FOR DISCUSSION |
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VI. |
ALGEBRA |
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1. |
GENERAL PROGRESS OF ALGEBRA |
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2. |
NAME FOR ALGEBRA |
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3. |
TECHNICAL TERMS |
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4. |
SYMBOLS OF ALGEBRA |
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5. |
FUNDAMENTAL OPERATIONS |
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6. |
CONTINUED FRACTIONS |
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7. |
THE WRITING OF EQUATIONS |
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8. |
THE SOLUTION OF EQUATIONS |
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9. |
DETERMINANTS |
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10. |
"RATIO, PROPORTION, AND THE RULE OF THREE" |
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11. |
SERIES |
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12. |
LOGARITHMS |
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13. |
"PERMUTATIONS, COMBINATIONS, PROBABILITY" |
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TOPICS FOR DISCUSSION |
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VII. |
ELEMENTARY PROBLEMS |
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1. |
MATHEMATICAL RECREATIONS |
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2. |
TYPICAL PROBLEMS |
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3. |
COMMERCIAL PROBLEMS |
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4. |
APPLICATIONS OF ALGEBRA |
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5. |
MAGIC SQUARES |
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TOPICS FOR DISCUSSION |
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VIII. |
TRIGONOMETRY |
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1. |
GENERAL DEVELOPMENT OF TRIGONOMETRY |
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2. |
TRIGONOMETRIC FUNCTIONS |
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3. |
TRIGONOMETRIC TABLES |
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4. |
TYPICAL THEOREMS |
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TOPICS FOR DISCUSSION |
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IX. |
MEASURES |
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1. |
WEIGHT |
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2. |
LENGTH |
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3. |
AREAS |
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4. |
CAPACITY |
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5. |
VALUE |
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6. |
METRIC SYSTEM |
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7. |
TIME |
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TOPICS FOR DISCUSSION |
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X. |
THE CALCULUS |
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1. |
GREEK IDEAS OF A CALCULUS |
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2. |
MEDIEVAL IDEAS OF THE CALCULUS |
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3. |
MODERN FORERUNNERS OF THE CALCULUS |
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4. |
NEWTON AND LEIBNIZ |
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TOPICS FOR DISCUSSION |
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INDEX |
Dummy View - NOT TO BE DELETED