Applied Partial Differential Equations

Applied Partial Differential Equations

A vibrant field of study, partial differential equations arise in mathematical models whose dependent variables change continuously as functions of several independent variables (often space and time). Their power lies in their universality: there is a huge and ever-growing range of real-world problems to which they can be applied, from fluid mechanics and electromagnetism to probability and finance. This book is a lively and well-written guide to both the theory and applications of PDEs. It examines such questions as the well-posedness of a PDE problem and the conditions under which solutions change little with small changes in input. It also examines the problem of establishing the accuracy of a numerical solution to a PDE, an increasingly important question given the power of new numerical methods and software. 'This is a cleary written guide to the theory and applications of partial differential equations....' MATH' This book ids thus greatly to be welcomed, as it sets out theory and methods for partial differential equations from the perspective of applied mathematicians who are concerned with the actual application of mathematics to model physics...The narrative style is chatty and informal with a strong personal stamp.A liberal lacing of emotive expressions encourages the discerning reader to empathise with the author's instincts by reading danger signals, recognising red-letter days and seeing analyses as trivial, tedious, delicate or hair-raising.'Feel' and experience are invaluable tools when attacking new problems, and I applaud the authors' attempts to impart some of theirs along with the technical content. Overall, a very worthwhile read, and I'll br glad to have a copy on my shelf' Journal of Fluid Mechanics'This is a clearly written guide to the theory and applications of partial differential equations....' MATH' This book is thus greatly to be welcomed, as it sets out theory and methods for partial differential equations from the perspective of applied mathematicians who are concerned with the actual application of mathematics to model physics...The narrative style is chatty and informal with a strong personal stamp.A liberal lacing of emotive expressions encourages the discerning reader to empathise with the author's instincts by reading danger signals, recognising red-letter days and seeing analyses as trivial, tedious, delicate or hair-raising.'Feel' and experience are invaluable tools when attacking new problems, and I applaud the authors' attempts to impart some of theirs along with the technical content. Overall, a very worthwhile read, and I'll be glad to have a copy on my shelf' Journal of Fluid Mechanics'For departments still offering serious PDE courses, Applied Partial Differential Equations provides a comprehensive and challenging text ... Able mathematics undergraduates ... should all find something they can take from the text ... There are numerous footnotes providing helpful physical explanations ... The end of each chapter is well furnished with interesting exercises' THES John Ockendon, Lecturer, Centre for Industrial & Applied Maths, University of Oxford. Andrew Lacey, Department of Mathematics, Heriot-Watt University. Alexander Movchan, Department of Mathematics, University of Bath. Used Book in Good Condition