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nydus/An Introduction to MathematicsPublic
Page 101 of 120
Table of Contents

XVII

Passing to the serious treatises on the subject to be read after this preliminary course, the following may be mentioned: Cremona's Pure Geometry (English Translation, Clarendon Press, Oxford), Hobson's Treatise on Trigonometry, Chrystal's Treatise on Algebra (2 volumes), Salmon's Conic Sections, Lamb's Differential Calculus, and some book on Differential Equations. The student will probably not desire to direct equal attention to all these subjects, but will study one or more of them, according as his interest dictates. He will then be prepared to select more advanced works for himself, and to plunge into the higher parts of the subject. If his interest lies in analysis, he should now master an elementary treatise on the theory of Functions of the Complex Variable; if he prefers to specialize in Geometry, he must now proceed to the standard treatises on the Analytical Geometry of three dimensions. But at this stage of his career in learning he will not require the advice of this note.

I have deliberately refrained from mentioning any elementary works. They are very numerous, and of various merits, but none of such outstanding superiority as to require special mention by name to the exclusion of all the others.

Abel 156

Abscissa 95

Absolute Convergence 251

Abstract Nature of Geometry|EtSeq 242

Abstractness (defined) 9, 13

Adams 220

Addition-Theorem 212

Ahmes 71

Alexander the Great 128, 129

Algebra, Fundamental Laws of 60

Ampere@Ampère 34

Analytical Conic Sections 240

Apollonius of Perga 131, 134

Approximation|EtSeq 197

Arabic Notation|EtSeq 58

Archimedes|EtSeq 37

101