First Course in the Theory of Equations (Classic Reprint) - Softcover

Inhaltsangabe

The theonof equations is not only a necessity in the subsequent mathematical courses and their apphcations, but furnishes an illuminating sequel to geometry-, algebra and analytic geometn .M oreover, it develops anew and in greater detail various fundamental ideas of calculus for the simple, but important, case of poh-nomials. The theon, of equations therefore affords a useful supplement to differential calculus whether taken subsequentlj or simultaneoush .I twas to meet the numerous needs of the student in regard to his earU er and future mathematical courses that the present book was planned with great care and after wide consultation. It differs essentially from the authors Elementary Theory of Equations, both in regard to omissions and additions, and since it is addressed to younger students and Tna.y be used parallel with a course in differential calculus. Simpler and more detailed proofs are now emplo ed. The exercises are simpler, more numerous, of greater variety, and involve more practical apphcations. This book throws important Ught on various elementarjtopics. For example, an alert student of geometrj who has learned how to bisect any angle is apt to ask if everjangle can be trisected with ruler and compasses and if not, whj not. After learning how to construct regular polygons of 3, 4, 5, 6, 8and 10 sides, he wiU be inquisitive about the missing ones of 7and 9sides. The teacher will be in a comfortable position if he knows the facts and what is involved in the simplest discussion to date of these questions, as given inC hapter III. Other chapters throw needed hght on various topics of algebra. In particular, the theory of graphs is presented inC hapter Vin a more scientific and practical manner than was possible in algebra and anah tic geometry. There is developed a method of computing a real root of an equation with minimum labor and with certai
(Typographical errors above are due to OCR software and don't occur in the book.)

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