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Basic topological, metric and banach space notions, the riemann integral and ordinary differential equations, lebesbgue. The right way to begin a calculus book is with calculus. Elements of the differential and integral calculuspdf. Lecture 17 application of differential calculus to approximation of functions. Understand the basics of differentiation and integration. The classic introduction to the fundamentals of calculus richard courants classic text differential and integral calculus is an essential text for those preparing for a career in physics or applied math. This book is a revised and expanded version of the lecture notes for basic calculus and other similar courses o ered by the department of mathematics, university of hong kong, from the. Differential and integral calculus this book consist as a first course in the calculus.
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