Titlebook: Calculus to Analysis; An Introductory Tran Arturo Portnoy Textbook 2025 The Editor(s) (if applicable) and The Author(s), under exclusive li

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https://doi.org/10.1007/978-981-15-5693-7Area under the graph or curve is the classic application to begin the study of the integral.

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R. Siva Srinivas,Rajiv Tiwari,Ch. Kanna BabuWe will begin our discussion of sequences of functions with several examples.

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Toni Waefler,Giulio Nisoli,Rahel GugerliWe have already motivated the study of trigonometric series. These arise naturally from the study of differential equations. Now let‘s justify the orthogonality and basis terminology used to describe the collection of trigonometric functions and their properties.

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Differentiable Functions,Consider the absolute value function over .. This is a continuous function, with a “smooth” graph, except at ., where we see a “corner” in the graph. We will make these ideas more precise in this chapter where we introduce the concept of the derivative of a function.

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