Mathematics will ever remain the most perfect type of theD eductive Method in general; and the applications of mathematics to the deductive branches of physics furnish the only school in which philosophers can effectually learn the most difficult and important portion of their art, the employment of the laws of simpler phenomena for explaining and predicting those of the more complex. These grounds are quite sufficient for deeming mathematical training an indispensable basis of real scientific education, and regarding (according to the dictum which an old but unauthentic tradition ascribes toP lato) one who is dyeujJ rpriT os, as wanting in one of the most essential qualifications for the successful cultivation of the higher branches of philosophy. John Stuart Mill :S ystem of Logic. Je me plaisais surtout aux mathtoatiques, kcause de la certitude et de PE vidence de leurs raisons; mais je ne remarquais point encore leur vrai usage, et, pensant qu elles ne servaient qu aux arts mcaniques, je metonnais de ce que, leur fondements Stant si fermes etsi solides, on navait rien bS ti dessus de plus relev6. Descartes :D iscours sur laM ethode, 1637.
(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 ingeniously details methods for discovering the roots of higher numerical equations. It traces the development of mathematical research on the subject, highlighting important theorems like Sturm's and presenting illustrative examples throughout. The author emphasizes the significance of Descartes' Rule of Signs, showcasing its role in determining the number of an equation's positive and negative roots. The book further delves into the graphical representation of functions using graphs, explaining how roots can be identified by locating the points where the graph intersects the x-axis. It explores the fascinating connection between equal roots and the highest common divisors of an equation and its derivative. Overall, this book provides an accessible and in-depth exploration of the theory of equations, making it invaluable to students and scholars alike. 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 9781330071984_0
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