Mathematics for Earth Science and Geography. Introductory Course with practical Exercises and R/Xcas Resources
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Intro......Page 3 Contents......Page 6 Numbers......Page 7 Measurement of Quantities......Page 12 Approximate Values......Page 15 Exercises......Page 19 Solutions......Page 23 Variables & Functions......Page 30 Link Between Variables, Functions......Page 31 Representation of Functions, First Elements......Page 32 Scales and Graphic Representation......Page 35 The Common Functions......Page 38 Evolution and Trends......Page 46 Exercises......Page 50 Solutions......Page 58 Measurements of Angles......Page 72 Plane Geometry (Part 1): Trigonometry, Slope......Page 73 Trigonometric Functions......Page 77 Plane Geometry (Part 2)......Page 80 Geometry of Space......Page 83 Exercises......Page 85 Solutions......Page 91 Scales......Page 102 Measurement of Angles, Geographical Coordinates......Page 103 Spherical Geometry......Page 108 Different Mapping Systems......Page 111 Exercise......Page 112 Solutions......Page 114 Slope and Derivative at One Point......Page 120 Derivative Functions and Common Formulas......Page 123 Variations of a Function and Differentiation......Page 127 Exercises......Page 132 Solutions......Page 137 Integrals: Introduction......Page 150 Notion of Primitive (Antiderivative)......Page 152 Calculation of Integrals......Page 154 Calculating Approximate Values of Integrals by the Rectangle Method......Page 158 Differential Equations......Page 160 Partial Differential Equations......Page 165 Exercise......Page 166 Solutions......Page 172 Appendix A: Free Software R......Page 183 Appendix B: Free Software Xcas......Page 191 Reading......Page 194
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