Applied Partial Differential Equations (Oxford Texts in Applied and Engineering Mathematics) by John Ockendon (PDF)

Description

Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises Including, American options, transform methods, free surface flows, linear elasticity and complex characteristics.

User’s Reviews

Editorial Reviews: Review ‘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”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 of my shelf”This is a clearly written guide to the theory and applications of partial differential equations…’ About the Author John Ockendon and Sam Howison are both at OCIAM, University of Oxford. Andrew Lacey is at Heriot-Watt University. Alexander Movchan is at the University of Liverpool.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is probably the very best upper undergrad/graduate level textbook on applied partial differential equations.The book is written by leading academics with extensive experience in applied mathematics and industrial engineering problems, who worked and taught the subject for decades. What I particularly like about it is that gives not only the technical details, but also a very broad overview of the subject.The first 6 chapters, which constitute a self contained upper level course, start (very naturally) with quasi linear first order PDE’s, then systems of first order PDE’s, and from that move to the classification of linear 2nd order PDE’s, then to the canonical topics of hyperbolic, elliptic and parabolic equations (in that order). Following that, 3 more chapters cover a number of more advanced topics: free boundary conditions, non quasi linear equations, and miscellaneous topics.The book is written by applied mathematicians for applied mathematics students. It hardly contains any functional analysis or distribution theory, but emphasizes effective methods for approaching practical problems. However, the book is NOT light reading, but is meant for serious students at serious universities.

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