Covering the mathematics of limits, otherwise known as *calculus*, this chapter is the final chapter of Part I on the fundamentals of mathematics. While the demand for calculus in the programming that is dealt with in this book is limited, with respect to several of the problems concerning physics, it is necessary. Needless to say, calculus is an involved topic, and the discussion in this chapter covers only selected and essential topics that anticipate problems dealt with in subsequent chapters.

The two principal techniques in calculus extend the work discussed in Chapter 3, on graphs, and in ...

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