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PART 1: WORKING WITH NUMBERSCh 1. From Counting to AdditionCh 2. SubtractionCh 3. MultiplicationCh 4. DivisionCh 5. FractionsCh 6. Area and VolumeCh 7. Time as a DimensionPART 2: ALGEBRA, GEOMETRY, AND TRIGONOMETRYCh 8. First Notions in AlgebraCh 9. "School" AlgebraCh 10. Quadratic EquationsCh 11. Some Useful ShortcutsCh 12. Mechanical MathematicsCh 13. Ratio and ProportionCh 14. Trigonometric and Geometric CalculationsPART 3: ANALYSIS AND CALCULUSCh 15. Systems of CountingCh 16. Theory of ProgressionsCh 17. Practical ProgressionsCh 18. Analyzing MotionCh 19. Developing Calculus TheoryCh 20. Combining Calculus with Other ToolsCh 21. Coordinate Systems and GraphsCh 22. Imaginary and Complex NumbersPART 4: TOOLS OF APPLIED MATHEMATICSCh 23. Working with SeriesCh 24. LogarithmsCh 25. Handy Formulas and TechniquesCh 26. Calculation AidsCh 27. Digital MathematicsCh 28. Vector QuantitiesCh 29. Scientific NotationCh 30. Working with Statistics