Analytic Geometry, a First Course (Classic Reprint) okumak kayıt olmadan

Analytic Geometry, a First Course (Classic Reprint)

Ders Kitapları

I ntroductory. 1. The student who begins the study of Analytic Geometry is assumed to have acquired previously a knowledge of elementary geometry and of algebra. In geometry he has used as subject matter the geometric elements (point, line, plane, etc.) and, starting from certain well defined axioms and postulates, has deduced the properties of the simpler plane and solid geometric forms. He has also developed a method of investigation which enables him to deal with questions of form, and of magnitude so far as it depends on form. In algebra he has used as subject matter certain symbols, some quantitative (a y, a, .. .. ), some operational (+ ,=, V, -=-, ..) ;and has developed a method, far more general than that of arithmetic, of dealing with questions of quantity. Each of these methods of mathematical investigation (geometric and algebraic) has its advantages and its limitations. In geometry we work with elements which actually possess the properties of form, position, an Jmagnitude in which we are interested, and the method of proof is in consequence frequently suggested by a glance at the diagram. In algebra we work with symbols which have in themselves no properties and carry no power of suggestion. Consider the two statements a. Two straight lines cannot intersect in more than one point; b. The equations 2a? By +1 0and 4a? +3y 3= 0cannot be simultaneously satisfied for more than one pair of values of the variables. These statements as we shall see later are practically one and the same; but the first is evident as soon as the diagram is drawn, while the second requires a proof of whose form the equations themselves give no hint. The advantage of the geometric method is evident.(Typographical errors above are due to OCR software and don't occur in the book.)About the Publisher Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folk

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WADE H MCCREE 28 Şubat 2018 18,9 x 0,4 x 24,6 cm ROBERT H BORK 28 Ekim 2011 1 Ocak 2017 18,9 x 0,5 x 24,6 cm 18,9 x 0,6 x 24,6 cm 18,9 x 0,2 x 24,6 cm 15,2 x 0,9 x 22,9 cm Mdpi AG 18,9 x 0,3 x 24,6 cm Kolektif 29 Ekim 2011 Additional Contributors ERWIN N GRISWOLD 30 Ekim 2011 3 Ocak 2017

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