Mathematics for the Nonmathematician (gnv64)
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Mathematics for the Nonmathematician By Morris Kline Dover | 1985 | ISBN-10: 0-486-24823-2 | PDF | 641 pages | 17.6 mb http://www.amazon.com/Mathematics-Nonmathematician-Dover-explaining-science/dp/0486248232 converted from DJVU by me with OCR, bookmarks & covers Whereas mathematics proper makes little appeal and seems even less pointed to most of these students, the subject becomes highly significant to them when it is presented in a cultural context. In fact, the branches of elementary mathematics were created primarily to serve extra-mathematical needs and interests. In the very act of meeting such needs each of these creations has proved to have inestimable importance for man's understanding of the nature of his world and himself. CONTENTS 1 Why Mathematics? 2 A Historical Orientation 3 Logic and Mathematics 4 Number: the Fundamental Concept 5 Algebra, the Higher Arithmetic 6 The Nature and Uses of Euclidean Geometry 7 Charting the Earth and the Heavens 8 The Mathematical Order of Nature 9 The Awakening of Europe 10 Mathematics and Painting in the Renaissance 11 Projective Geometry 12 Coordinate Geometry 13 The Simplest Formulas in Action 14 Parametric Equations and Curvilinear Motion 15 The Application of Formulas to Gravitation 16 The Differential Calculus 17 The Integral Calculus 18 Trigonometric Functions and Oscillatory Motion 19 The Trigonometric Analysis of Musical Sounds 20 Non·Euclidean Geometries and Their Significance 21 Arithmetlcs and Their Algebras 22 The Statistical Approach to the Social and Biological Sciences 23 The Theory of Probability 24 The Nature and Value. of Mathematics Table Trigonometric Ratios Answers to Selected and Review Exercises Additional Answers and Solutions Index
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