SYLLABUS OF LECTURES ON THE THEORY

OF NUMBER AND IT'S ALGEBRA

INTRODUCTORY 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

ΤΟ

THE TEACHERS OF MATHEMATICS

IN THE

COMMON SCHOOLS.

IX.

FIRST EXTENSION OF THE NUMBER-CONCEPT.

RATIO. FRACTIONS. SURDS.

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.