Hardback : $499.00
Partial differential equations are a central concept in mathematics. They are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guide to the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform); explicit representations of general solutions of the wave equation; bifurcations; the Wiener-Hopf method; free surface flows; American options; the Monge-Ampere equation; linear elasticity and complex characteristics; as well as numerous topical exercises. This book is ideal for students of mathematics, engineering and physics seeking a comprehensive text in the modern applications of PDEs
Partial differential equations are a central concept in mathematics. They are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guide to the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and the Radon transform); explicit representations of general solutions of the wave equation; bifurcations; the Wiener-Hopf method; free surface flows; American options; the Monge-Ampere equation; linear elasticity and complex characteristics; as well as numerous topical exercises. This book is ideal for students of mathematics, engineering and physics seeking a comprehensive text in the modern applications of PDEs
Introduction
First-order scalar quasilinear equations
First-order quasilinear systems
Introduction to second-order scalar equations
Hyperbolic equations
Elliptic equations
Parabolic equations
Free boundary problems
Non-quasilinear equations
Miscellaneous topics
Conclusion
References
Index
Review from previous edition '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
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