This work aims at the presentation of two leading features in the study and application of the higher mathematics. In the first place, the development of the rationale of the subject is based on essentially concrete conceptions, and no appeal is made to what may be termed rational imagination extending beyond the limits of mans actual physical and physiological experience. Thus no use is anywhere made of series of infinite numbers of things or of infinitely small quantities. The author believes that the logical development is both sound and complete without reference to these ideas. In the second place, a set of Eleven Classified Tables of Integrals and Methods of Integration have been arranged in such manner as seemed best adapted tq facilitate rapid reference, and thus relieve the mind engaged in practical mathematical work of the burden of memorising a great mass of formulas. This part of the work has involved very considerable labour. The germ of it is twenty-five years old in the authors manuscripts, but for the extensive and able development of it to its present form he is indebted to the cooperation of Mr R. F. Muirhead, M.A., B.S c. (G lasgow), B.A. (C ambridge), formerly Clark Fellow of Glasgow University and Lecturer on Mathematics atM ason College. It is hoped that these Tables may prove of great service to physicists and engineers engaged in new applications of science.
(Typographical errors above are due to OCR software and don't occur in the book.)
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Paperback. Etat : New. Print on Demand. This book provides a thorough introduction to the fundamental and important uses of the Integral Calculus, along with much of the Differential Calculus. It does this in a way designed to stimulate a growing desire to progress always further in a branch of science which soon shows itself capable of supplying the key to so many practical investigations. The author presents the subject in a manner so contrary to almost self-evident utility so that students can make progress always further in a branch of science which soon shows itself capable of supplying the key to so many practical investigations. The author presents the subject in a manner so contrary to almost self-evident utility so that students can make progress by spending less time on Differentiation, which is often taught as a separate subject. Integration is widely used in problem-solving in physics, thermodynamics, electrodynamics, engineering design, etc, and the author presents many worked examples illustating its usefulness, making the subject easier to understand. It is especially suited to technical students who need training in scientific thought and for engineers and students of physics who need to use the Calculus. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781330581889_0
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