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Cambridge University Press Optimal Control and Geometry: Integrable Systems: 154 (Cambridge Studies in Advanced Mathematics, Series Number 154)

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£90.71 £73.43 £77.20 £80.97 £84.74 £88.51 £92.28 11 August 2026 19 August 2026 28 August 2026 05 September 2026 14 September 2026
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Description

The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new light on the theory of integrable systems. These Hamiltonians provide an original and unified account of the existing theory of integrable systems. The book particularly explains much of the mystery surrounding the Kepler problem, the Jacobi problem and the Kovalevskaya Top. It also reveals the ubiquitous presence of elastic curves in integrable systems up to the soliton solutions of the non-linear Schroedinger's equation. Containing a useful blend of theory and applications, this is an indispensable guide for graduates and researchers in many fields, from mathematical physics to space control.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
04 April 2016
Listed Since
31 October 2015

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