The purpose of this concise introduction to calculus is to provide matter-of-fact, straight answers to basic questions about calculus, thus providing a good beginning for beginners in their journey of learning calculus.
Introduction -- ch. 1. Numbers, variables and functions. 1. Real numbers and measurement. 2. Variables and functions -- ch. 2. Basic properties of functions. 1. Monotonicity and continuity of functions. 2. Rate of change and sum of total effect of functions -- ch. 3. Approximation and limit. 1. Approximation and limit of sequences. 2. Limit and the continuity of a function... -- ch. 4. Foundational framework and fundamental theory of calculus. 1. The foundation of calculus... -- ch. 5. Elementary functions and some typical examples of applications of calculus. 1. Elementary functions...
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