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OverviewFull Product DetailsAuthor: Maciej Dunajski (University of Cambridge, UK)Publisher: Oxford University Press Imprint: Oxford University Press Volume: 19 Dimensions: Width: 15.60cm , Height: 2.10cm , Length: 23.40cm Weight: 0.579kg ISBN: 9780198570639ISBN 10: 0198570635 Pages: 376 Publication Date: 10 December 2009 Audience: College/higher education , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: To order Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of ContentsPreface 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 IndexReviewsMy view is that the book is a success. I have no hesitation in recommending the book as a textbook/reference for advanced undergraduates (Mmath or other masters level), and for researchers as well. It is also very valuable as a crossover book: showing researchers in other disciplines how some of this new theory motivated by cosmology can be introduced into other areas such as fluid mechanics. Professor Thomas J. Bridges, Contemporary Physics As an introduction to an exciting area of research, this book is excellent because it is not only accessible but self contained. A wonderful feature of the book is the clear and informative explanation of the topics and the wealth of examples. The presentation style of the book means that it is accessible to readers ranging from advanced undergraduates doing research to experts. It would be an excellent textbook for a course at the advanced undergraduate level or graduate level in either mathematics or physics. This book will become a standard on the subject. The typesetting of the book is very clean, with nicely sized fonts and clean uniform notation. It includes 35 illustrations which helpfully illustrated text. It is my pleasure to highly recommend it to anyone from an advanced undergraduate to a researcher in the fields covered. Donald M Witt, Classical and Quantum Gravity While there are many exploratory texts on specific areas within the theory of integrable systems, the area has lacked a general introduction to the field. The current text takes its inspiration from mathematical physics and field theory...It does whet the reader's appetite and provides an excellent first taste of what can be savoured in detail in more advanced monographs. Ian A. B. Strachan, Mathmatical Reviews, issue 211b While there are many exploratory texts on specific areas within the theory of integrable systems, the area has lacked a general introduction to the field. The current text takes its inspiration from mathematical physics and field theory...It does whet the reader's appetite and provides an excellent first taste of what can be savoured in detail in more advanced monographs. Ian A. B. Strachan, Mathmatical Reviews, issue 211b Author InformationMaciej 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. Tab Content 6Author Website:Countries AvailableAll regions |
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