More catalogs by Princeton University Press | Spring 2017 Books | 148 pages | 2018-09-24

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the mathematics of shock reflection-diffraction and von neumannâ€™s conjectures noncooperative game theory gui-qiang g chen mikhail feldman joÃ£o p hespanha this book offers a survey of recent developments in the analysis of shock reflection-diffraction,Â a detailed presentation of original mathematical proofs of von neumannâ€™s conjectures for potential flow and a collection of related results and new techniques in the analysis of partial differential equations pdes as well as a set of fundamental open problems for further development shock waves are fundamental in nature they are governed by the euler equations or their variants generally in the form of nonlinear conservation lawsâ€”pdes of divergence form when a shock hits an obstacle shock reflection-diffraction configurations take shape to understand the fundamental issues involved such as the structure and transition criteria of different configuration patterns it is essential to establish the global existence regularity and structural stability of shock reflection-diffraction solutions this involves dealing with several core difficulties in the analysis of nonlinear pdesâ€”mixed type free boundaries and corner singularitiesâ€”that also arise in fundamental problems in diverse areas such as continuum mechanics differential geometry mathematical physics and materials science gui-qiang g chen is the statutory professor in the analysis of partial differential equations at the mathematical institute of the university of oxford mikhail feldman is professor of mathematics at the university of wisconsinâ€“madison july 978-0-691-16055-9 paperÂ $75.00s 978-0-691-16054-2 clothÂ $165.00s 776 pages 35 line illus 6 x 9 annals of mathematics studies 197 phillip a griffiths john n mather and elias m stein series editors mathematics 132 mathematics engineering an introduction for engineers and computer scientists noncooperative game theory is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science joÃ£o hespanha shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problemâ€™s essence who are the players what are their goals will the solution to â€œthe gameâ€ solve the original design problem using the fundamentals of game theory hespanha explores these issues and more the use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs in optimization one attempts to find values for parameters that minimize suitably defined criteriaâ€”such as monetary cost energy consumption or heat generated however in most engineering applications there is always some uncertainty as to how the selected parameters will affect the final objective through a sequential and easy-tounderstand discussion hespanha examines how to make sure that the selection leads to acceptable performance even in the presence of uncertaintyâ€”the unforgiving variable that can wreck engineering designs hespanha looks at such standard topics as zero-sum non-zero-sum and dynamics games and includes a matlab guide to coding noncooperative game theory offers students a fresh way of approaching engineering and computer science applications joÃ£o p hespanha is a professor in the department of electrical and computer engineering at the university of california santa barbara he is the author of linear systems theory princeton june 978-0-691-17521-8 cloth $65.00x 214 pages 8 x 10 engineering computer science mathematics