دانلود کتاب UNDERSTANDING AND DOING MATH - CIRCLE 1: What are Math Objects? Illustrated with Numbers

فهرست مطالب :

Preface to the Circles Series\nPreface to Circle 1\nIntroduction to Numbers\nNatural Numbers (and some other unnatural phenomena)\n Counting\n Decimal Notation\n Comparison\n Addition\n Proving\n Basic Properties of Comparison\n Defining\n Basic Properties of Addition\n Subtraction\n Multiplication and Division\n Multiplication\n Calculating and Simplifying\n Division\n Raising to the Power\n The Background Mathematical Objects\n Problems and Solutions\nIntegers (or what\'s on the other side of zero)\n Oriented Counting\n Comparison\n Addition\n Opposite Number\n Subtraction\n Addition and Subtraction\n Multiplication and Division\n Problems and Solutions\nRational Numbers (or how to divide evenly)\n Measuring of Equal Parts\n Comparison\n Addition and Subtraction\n Mixed Notation\n Multiplication\n Division\n Multiplication and Division\n Equations, Equalities and the Laws of Nature\n Percentages\n Powers\n Density of Rational Numbers\n Problems and Solutions\nReal Numbers (or how to measure the World)\n Measuring a Line Segment\n Decimal Notation\n Infinite Periodic Decimal Notation\n Infinite Non-Periodic Decimal Notation and Real Numbers\n Arithmetic Operations with Real Numbers\n Basic Properties of Real Numbers\n Irrational Numbers\n Roots and Powers with Rational Exponents\n Approximate Calculation and Theory of Errors\n Units of Measurement\n Scientific Notation\n Coordinate System\n On Mathematical Models\n Problems and Solutions\nInspiring End\nCalm Epilogue\nIndex