In the preparation of this book the authors aim has been: (1) To make the transition from arithmetic to algebra as easy and natural as possible, and to arouse the pupils interest by showing him early some of the advantages of algebra over arithmetic. (2) To present the several topics in the order of their simplicity, giving definitions only where they are needed, and insuring clearness of comprehension by an abundance of concrete illustrations and inductive questions. (3) To provide a large, well-chosen, and carefully graded set of exercises, the solution of which will help not only to fix in the pupils mind the principles involved, but also further to unfold those principles. (4) To omit non-essentials, and yet provide a book that fully meets the entrance requirements in elementary algebra of any college or university in this country. A mong other features of this book to which attention is invited are: (1) the careful statement of definitions and principles; (2) the emphasis laid upon translating formulas and equations into verbal language, and vice versa; (3) the inclusion of many formulas from physics which the pupils are asked to solve for the various letters which they contain; and (4) the extensive cross-references, as well as the many hints and suggestions found among the exercises and problems, all calculated to throw sidelights upon the work. On the request of several prominent mathematics teachers the author has put an elementary chapter on quadratic equations (C hap. XII) before the chapters on radicals, imaginaries, and the theory of exponents.
(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 introduces a transition from the familiar territory of arithmetic to the exciting world of algebra, elucidating its concepts with clarity and fostering a deep comprehension of the subject. The author presents the evolution of algebraic thought, situating it within the broader context of mathematical development. Through engaging examples and a step-by-step approach, this book simplifies complex ideas, revealing the power and beauty of algebra as an indispensable tool for unraveling the mysteries of the universe. Its insights illuminate the profound impact algebra has had on mathematics and beyond, making it an invaluable resource for students, educators, and anyone seeking to expand their understanding of this fundamental subject. 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 9781330046081_0
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