Excerpt from Algebra, Vol. 1: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges
IN this Edition considerable alterations have been made in chapter xii. In particular, the proof of the theorem that every integral equation has a root has been amplified, and also illustrated by graphical considerations.
An Appendix has been added dealing with the general algebraic solution of Cubic and Biquadratic Equations; with the reducibility of equations generally; and with the possibility of solution by means of square roots. As the theorems established have interesting applications in Ele mentary Geometry, it is believed that they may find an appropriate place in an Elementary work on Algebra.
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Paperback. Condizione: New. Print on Demand. Delve into the foundational principles of algebra with this comprehensive guide, ideal for students seeking a deeper understanding of the subject. This book meticulously examines the fundamental laws governing algebra, tracing their roots back to familiar arithmetic operations. It then expands upon these concepts, introducing readers to the intricacies of algebraic form and its applications in various mathematical domains. Through clear explanations and practical examples, the author skillfully bridges the gap between abstract theory and concrete applications. Explore topics such as the laws of indices, the theory of quotients, and the fascinating world of prime and composite integers. Discover the power of the distributive law and its role in manipulating algebraic expressions. Learn about rational fractions, irrational functions, and the intriguing realm of complex numbers. This book provides a solid grounding in algebraic principles, equipping readers with the tools to tackle more advanced mathematical concepts. Its exploration of mathematical logic and the historical context of key discoveries offers a unique perspective on the evolution of algebra. By grasping the fundamental laws and processes outlined in this book, readers will unlock a deeper appreciation for the elegance and universality of mathematics, realizing its potential as a powerful tool for problem-solving and analytical thinking. 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. Codice articolo 9781330260166_0
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Paperback. Condizione: Brand New. 610 pages. 9.06x6.10x1.34 inches. This item is printed on demand. Codice articolo zk1330260163
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