Zeros of Polynomials and Solvable Nonlinear Evolution Equations

Zeros of Polynomials and Solvable Nonlinear Evolution Equations

by Francesco Calogero

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Product Details

ISBN-13: 9781108428590
Publisher: Cambridge University Press
Publication date: 09/20/2018
Pages: 176
Product dimensions: 7.09(w) x 9.96(h) x 0.51(d)

About the Author

Francesco Calogero is Professor of Theoretical Physics (Emeritus), at the Universit... degli Studi di Roma 'La Sapienza', Italyof Rome, Italy. He has published numerous papers and books on physics and mathematics as well as on arms control and disarmament topics and he served as Secretary General of the Pugwash Conferences on Science and World Affairs which won the 1995 Nobel Peace Prize.

Table of Contents

Preface; 1. Introduction; 2. Parameter-dependent monic polynomials, definitions and key formulas; 3. A differential algorithm to compute all the zeros of a generic polynomial; 4. Solvable and integrable nonlinear dynamical systems (mainly Newtonian N-body problems in the plane); 5. Solvable systems of nonlinear partial differential equations (PDEs); 6. Generations of monic polynomials; 7. Discrete time; 8. Outlook; Appendix; References.

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