The Techniques of Calculus

Richard Courant and Fritz John
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Richard Courant: New York University, Courant Institute of Mathematical Sciences
Fritz John: New York University, Courant Institute of Mathematical Sciences

Chapter 3 in Introduction to Calculus and Analysis, 1989, pp 201-323 from Springer

Abstract: Abstract Although problems of integration are usually of greater importance than those of differentiation, the latter offer less formal difficulty than the former. Therefore it is a natural procedure first to master the art of differentiating the widest possible classes of functions; then by the fundamental theorem (Section 2.9) the results of differentiation are available for evaluating integrals. In the following sections we shall pursue such applications of the fundamental theorem. To a certain extent we shall make a fresh start and develop techniques of integration systematically on the basis of certain general rules for differentiation.

Keywords: Inverse Function; Chain Rule; Trigonometric Function; Hyperbolic Function; Relative Maximum (search for similar items in EconPapers)
Date: 1989
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DOI: 10.1007/978-1-4613-8955-2_3

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