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INFINITE SERIES - Elsevier.com

Chapter 1 INFINITE SERIESChap1 This on-line chapter contains the material on INFINITE SERIES , extracted from the printedversion of the Seventh Edition and presented in much the same organization in whichit appeared in the Sixth Edition. It is collected here for the convenience of instructorswho wish to use it as introductory material in place of that in the printed book. It hasbeen lightly edited to remove detailed discussions involving complex variable theorythat would not be appropriate until later in a course of instruction. For AdditionalReadings, see the printed INTRODUCTION TO INFINITE the most widely used technique in the physicist s toolbox is the use ofinfiniteseries( sums consisting formally of an INFINITE number of terms) to representfunctions, to bring them to forms facilitating further analysis, or even as a preludeto numerical evaluation.

functions, to bring them to forms facilitating further analysis, or even as a prelude to numerical evaluation. The acquisition of skill in creating and manipulating series expansions is therefore an absolutely essential part of the training of one who seeks competence in the mathematical methods of physics, and it is therefore the flrst topic

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