SYLLABUS OF LECTURES ON THE THEORY

OF NUMBER AND ITS ALGEBRA

INTRIOTORY TO A

COLLEGIATE COURSE IN ALGEBRA

BY

ARTHUR LEFEVRE, C.E.

INSTRUCTOR IN PURE MATHEMATICS, UNIVERSITY OF TEXAS

BOSTON, U.S.A.
D. C. HEATH & CO., PUBLISHERS

1896

DEDICATED

TO

THE TEACHERS OF MATHEMATICS

IN THE

COMMON SCHOOLS.

IX. FIRST EXTENSION OF THE NUMBER-CONCEPT.

RATIO. — FRACTIONS. – SURDS.

65

X. SIGNIFICANCE OF OPERATIONS, AND SPECIAL OPERA-

TIONAL DEVICES APPROPRIATE TO THE FIRST

EXTENSION OF THE NUMBER-CONCEPT

XI. FINAL EXTENSION OF THE NUMBER-CONCEPT.

PRINCIPLE OF CONTINUITY

XII. SIGNIFICANCE AND EFFICACY OF NUMERICAL OP-

ERATIONS UNDER THE ULTIMATE CONCEPT.

ZERO, INFINITY. - NEGATIVE, NEOMONIC, Com-

PLEX NUMBER

73

85