A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
A text aimed at third year undergraduates and graduates in mathematics and physics, presenting elementary twistor theory as a universal technique for solving differential equations in applied mathematics and theoretical physics.
Maciej Dunajski read physics in Lodz, Poland and received a PhD in mathematics from Oxford University where he held a Senior Scholarship at Merton College. After spending four years as a lecturer in the Mathematical Institute in Oxford where he was a member of Roger Penrose's research group, he moved to Cambridge, where holds a Fellowship and lectureship at Clare College and a Newton Trust Lectureship at the Department of Applied Mathematics and Theoretical Physics. Dunajski specialises in twistor theory and differential geometric approaches to integrability and solitons. He is married with two sons.
Inhaltsangabe
Preface 1: Integrability in classical mechanics 2: Soliton equations and the Inverse Scattering Transform 3: The hamiltonian formalism and the zero-curvature representation 4: Lie symmetries and reductions 5: The Lagrangian formalism and field theory 6: Gauge field theory 7: Integrability of ASDYM and twistor theory 8: Symmetry reductions and the integrable chiral model 9: Gravitational instantons 10: Anti-self-dual conformal structures Appendix A: Manifolds and Topology Appendix B: Complex analysis Appendix C: Overdetermined PDEs Index
Preface 1: Integrability in classical mechanics 2: Soliton equations and the Inverse Scattering Transform 3: The hamiltonian formalism and the zero-curvature representation 4: Lie symmetries and reductions 5: The Lagrangian formalism and field theory 6: Gauge field theory 7: Integrability of ASDYM and twistor theory 8: Symmetry reductions and the integrable chiral model 9: Gravitational instantons 10: Anti-self-dual conformal structures Appendix A: Manifolds and Topology Appendix B: Complex analysis Appendix C: Overdetermined PDEs Index
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