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

MAA Review
Table of Contents

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