Publisher's Synopsis
Excerpt from An Elementary Treatise on Differential Equations
The following pages are the result of a course in Differential Equations which the author has given for some years to classes comprising students intending to pursue the study of Engineering or some other Physical Science, as well as those expecting to continue the study of Pure Mathematics or Mathematical Physics.
The primary object of this book is to make the student familiar with the principles and devices that will enable him to integrate most of the equations he is apt to come across. As much of the theory is given as is likely to be comprehensible to the student who has had a year's course in the Differential and Integral Calculus, and yet is sufficient to form a harmonizing setting for the numerous and otherwise apparently miscellaneous classes of equations, and the disconnected methods for solving them. It is intended to have the work sufficiently broad to make it a handy book of reference, without affecting its utility as a text-book. A number of footnotes and remark have been put in, which, without breaking the continuity of the practical side of the subject, must prove of interest and value. Numerous historical and bibliographical references are also made.
A course that is limited in point of time and aims only at acquiring skills in integrating most of the equations that are apt to arise could dispense with 12, 15, 17, 22, 28 (part in small type), 33, 34, 38 - 40, 46 - 48, 66 - 69 (except examples), 70, 71, 73, 75, 78, 80, 81. Many of these sections should properly come in a well-balanced course. The needs of the class, and the time at its disposal, must decide which of them, if any, should be omitted.
The author has had in mind continually the necessity of systematizing the various classes of equations that can he solved by elementary means, and of minimizing the number of methods by which they can be solved.
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