Zeros of Polynomials and Solvable Nonlinear Evolution Equations

Exploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs).

List 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.

About the author

Francesco Calogero is Professor of Theoretical Physics (Emeritus), at the Università 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.

Product details

• Authors: Francesco Calogero, Francesco (Universit... Degli Studi DI R Calogero, Francesco (Universita Degli Studi DI Rom Calogero, Francesco (Universita degli Studi di Roma 'La Sapienza' Calogero, Calogero Francesco
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.08.2018
• EAN: 9781108428590
• ISBN: 978-1-108-42859-0
• No. of pages: 176
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; Astronomie, Raum und Zeit, Mathematische Physik, Statistische Physik, SCIENCE / Physics / Mathematical & Computational, Englische Bücher / Naturwissenschaften / Physik, Astronomie, Mathematical physics, Differential calculus & equations, Statistical physics, Differential calculus and equations