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Elliptic Functions by W. F. Eberlein, J. V. Armitage

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12 Applications in mechanics and statistics and other topics

Introduction

In the preceding chapters we have sought to introduce the reader to the rich and beautiful treasury of ideas originating in the work of Euler, Fagnano and others and developed by Gauss, Abel, Jacobi, Weierstrass – and others. But those astonishing results from pure mathematics have no less remarkable applications in mechanics, in probability and statistics (some of which we encountered in Chapter 1), in numerical analysis (again taking up a reference from Chapter 1) and in mathematical physics that, to quote Lawden (1989) in his preface, ‘grace the topic with an additional aura’. In this final chapter we offer a brief introduction to some of those topics, though limitations ...

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