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History of Mathematics, Vol. 2

David E. Smith
Publisher: 
Dover Publications
Publication Date: 
1958
Number of Pages: 
736
Format: 
Paperback
Price: 
18.95
ISBN: 
0486204308
Category: 
General
We do not plan to review this book.

 

CHAPTER
  I. DEVELOPMENT OF THE ARITHMETICA
    1. GENERAL SURVEY
    2. THE SEVEN LIBERAL ARTS
    3. EARLY WRITERS ON NUMBER THEORY
    4. NAMES FOR ARITHMETIC
    5. ELEMENTARY CLASSIFICATIONS OF NUMBER
    6. UNITY
    7. LATER DEVELOPMENTS
      TOPICS FOR DISCUSSION
  II. LOGISTIC OF NATURAL NUMBERS
    1. FUNDAMENTAL OPERATIONS
    2. READING AND WRITING NUMBERS
    3. ADDITION
    4. SUBTRACTION
    5. MULTIPLICATION
    6. DIVISION
    7. ROOTS
    8. CHECKS ON OPERATIONS
      TOPICS FOR DISCUSSION
  III. MECHANICAL AIDS TO CALCULATION
    1. THE ABACUS
    2. FINGER RECKONING
    3. MODERN CALCULATING MACHINES
      TOPICS FOR DISCUSSION
  IV. ARTIFICIAL NUMBERS
    1. COMMON FRACTIONS
    2. SEXAGESIMAL FRACTIONS
    3. DECIMAL FRACTIONS
    4. SURD NUMBERS
    5. NEGATIVE NUMBERS
    6. COMPLEX NUMBERS
    7. TRANSCENDENTAL NUMBERS
      TOPICS FOR DISCUSSION
  V. GEOMETRY
    1. GENERAL PROGRESS OF ELEMENTARY GEOMETRY
    2. NAME FOR GEOMETRY
    3. TECHNICAL TERMS OF EUCLIDEAN GEOMETRY
    4. AXIOMS AND POSTULATES
    5. TYPICAL PROPOSITIONS OF PLANE GEOMETRY
    6. TYPICAL PROPOSITIONS OF SOLID GEOMETRY
    7. THE THREE FAMOUS PROBLEMS
    8. ANALYTIC GEOMETRY
    9. MODERN GEOMETRY
    10. PERSPECTIVE AND OPTICS
    11. INSTRUMENTS IN GEOMETRY
    12. THE PROBLEM OF EARTH MEASURE
      TOPICS FOR DISCUSSION
  VI. ALGEBRA
    1. GENERAL PROGRESS OF ALGEBRA
    2. NAME FOR ALGEBRA
    3. TECHNICAL TERMS
    4. SYMBOLS OF ALGEBRA
    5. FUNDAMENTAL OPERATIONS
    6. CONTINUED FRACTIONS
    7. THE WRITING OF EQUATIONS
    8. THE SOLUTION OF EQUATIONS
    9. DETERMINANTS
    10. "RATIO, PROPORTION, AND THE RULE OF THREE"
    11. SERIES
    12. LOGARITHMS
    13. "PERMUTATIONS, COMBINATIONS, PROBABILITY"
      TOPICS FOR DISCUSSION
  VII. ELEMENTARY PROBLEMS
    1. MATHEMATICAL RECREATIONS
    2. TYPICAL PROBLEMS
    3. COMMERCIAL PROBLEMS
    4. APPLICATIONS OF ALGEBRA
    5. MAGIC SQUARES
      TOPICS FOR DISCUSSION
  VIII. TRIGONOMETRY
    1. GENERAL DEVELOPMENT OF TRIGONOMETRY
    2. TRIGONOMETRIC FUNCTIONS
    3. TRIGONOMETRIC TABLES
    4. TYPICAL THEOREMS
      TOPICS FOR DISCUSSION
  IX. MEASURES
    1. WEIGHT
    2. LENGTH
    3. AREAS
    4. CAPACITY
    5. VALUE
    6. METRIC SYSTEM
    7. TIME
      TOPICS FOR DISCUSSION
  X. THE CALCULUS
    1. GREEK IDEAS OF A CALCULUS
    2. MEDIEVAL IDEAS OF THE CALCULUS
    3. MODERN FORERUNNERS OF THE CALCULUS
    4. NEWTON AND LEIBNIZ
      TOPICS FOR DISCUSSION
    INDEX

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