Infinitesimal Calculus Section (Classic Reprint) - Couverture souple

Carey, F. S.

 
9781330283615: Infinitesimal Calculus Section (Classic Reprint)

Présentation de l'éditeur

Infinitesimal Calculus which have been recently introduced into the syllabus of some examinations for higher school certificates, while the two sections taken together correspond fairly closely to the curriculum of students reading for the first part of an honours course in mathematics or for the ordinary degree in arts, science or engineering. Believing that there is no royal road which leads smoothly and directly to the Infinitesimal Calculus, the author has made no attempt to evade all the difficulties which at the outset face the student in this subject. The road has, however, been laid in the first section so as to pass through those domains of number and function with which the student is probably already acquainted, while the functions which are likely to be unfamiliar to him have been reserved for the second section. To assist the student in mastering the fundamental conception of a differential coefficient, two ideas which are usually reserved for books of a more advanced character have been introduced at the beginning and used throughout the book, namely, range and sequence, and the ordinary symbolism in connection with them has been varied. The symbols to express open and closed ranges have, however, been changed so slightly that the alteration amounts to little more than a typographical modification ;but a more important change has been made in the arrow notation, which is now so generally used to express the limits of a sequence. The author is indebted to his former colleague, Dr. James Mercer, for the beautiful suggestion of the arrow with a single barb, either upper or lower. This notation has been successfully tested in class work, but has not previously appeared in print.
(Typographical errors above are due to OCR software and don't occur in the book.)

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