Excerpt from General Physics for Students: A Text-Book on the Fundamental Properties of Matter
In writing this book, my object has been to discuss the fundamental properties of matter in the simplest manner consistent with accuracy. The student who possesses a sound knowledge of the elements of algebra, geometry, and trigonometry, will find that his acquirements are sufficient to enable him to read the book, and to solve the problems set at the ends of the chapters, without referring to mathematical treatises. In many instances, the performance of integrations, commonly effected by the aid of the integral calculus, has been found to be unavoidable; in such cases I have used a method which is neither difficult nor lengthy, while it can be learnt without much trouble. This method is explained fully in the text, and a number of its applications are given sufficient to enable the student to become perfectly familiar with it. It must be understood that this method has not been devised in order to give the student an excuse for neglecting the study of the calculus; on the contrary, I consider that it forms a most valuable introduction to the calculus, as it presents a definite integral under its true form the sum of a series; and the procedure by which the summation is effected is just as legitimate as that commonly used in books on mathematics. Geometrical properties, with which the student is likely to be unacquainted, are also investigated fully in the text.
The first five chapters are devoted to a development of mechanical principles, especial attention being paid to the rotational motion of solids (including the gyrostat) and to oscillatory motion. Subsequently the properties of gravitation are studied, and the phenomena attending the straining of elastic bodies are analysed.
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