BiblioBazaar, 2009 (rep.1896). - 324 pages. First published in
1896, Macmillan and co. (London, New York).
The present volume is intended to form a sound introduction to a study of the Integral Calculus, suitable for a student beginning the subject. Like its companion, the 'Differential Calculus for Beginners, it does not therefore aim at completeness, but rather at the omission of all portions of the subject which are usually regarded as best left for a later reading.
It will be found, however, that the ordinary processes of integration are fully treated, as also the principal methods of Rectification and Quadrature, and the calculation of the volumes and surfaces of solids of revolution. Some indication is also afforded to the student of other useful applications of the Integral Calculus, such as the general method to be employed in obtaining the position of a Centroid, or the value of a Moment of Inertia.
As it seems undesirable that the path of a student in Applied Mathematics should be blocked by a want of acquaintance with the methods of solving elementary Differential Equations, and at the same time that his course should be stopped for a systematic study of the subject in some complete and exhaustive treatise, a brief account has been added of the ordinary methods of solution of the more elementary forms occurring, leading up to and including all such kinds as the student is likely to meet with in his reading of Analytical Statics, Dynamics of a Particle, and the elementary parts of Rigid Dynamics. Up to the solution of the general Linear Differential Equation with Constant Coefficients, the subject has been treated as fully as is consistent with the.scope of the present work.
The present volume is intended to form a sound introduction to a study of the Integral Calculus, suitable for a student beginning the subject. Like its companion, the 'Differential Calculus for Beginners, it does not therefore aim at completeness, but rather at the omission of all portions of the subject which are usually regarded as best left for a later reading.
It will be found, however, that the ordinary processes of integration are fully treated, as also the principal methods of Rectification and Quadrature, and the calculation of the volumes and surfaces of solids of revolution. Some indication is also afforded to the student of other useful applications of the Integral Calculus, such as the general method to be employed in obtaining the position of a Centroid, or the value of a Moment of Inertia.
As it seems undesirable that the path of a student in Applied Mathematics should be blocked by a want of acquaintance with the methods of solving elementary Differential Equations, and at the same time that his course should be stopped for a systematic study of the subject in some complete and exhaustive treatise, a brief account has been added of the ordinary methods of solution of the more elementary forms occurring, leading up to and including all such kinds as the student is likely to meet with in his reading of Analytical Statics, Dynamics of a Particle, and the elementary parts of Rigid Dynamics. Up to the solution of the general Linear Differential Equation with Constant Coefficients, the subject has been treated as fully as is consistent with the.scope of the present work.