Book description
Praise for the First Edition:
"This book is well conceived and well written. The author has
succeeded in producing a text on nonlinear PDEs that is not only quite
readable but also accessible to students from diverse
backgrounds."
-SIAM Review
A practical introduction to nonlinear PDEs and their real-world applications
Now in a Second Edition, this popular book on nonlinear partial
differential equations (PDEs) contains expanded coverage on the
central topics of applied mathematics in an elementary, highly
readable format and is accessible to students and researchers in the
field of pure and applied mathematics. This book provides a new focus
on the increasing use of mathematical applications in the life
sciences, while also addressing key topics such as linear PDEs,
first-order nonlinear PDEs, classical and weak solutions, shocks,
hyperbolic systems, nonlinear diffusion, and elliptic equations.
Unlike comparable books that typically only use formal proofs and
theory to demonstrate results, An Introduction to Nonlinear Partial
Differential Equations, Second Edition takes a more practical approach
to nonlinear PDEs by emphasizing how the results are used, why they
are important, and how they are applied to real problems.
The intertwining relationship between mathematics and physical
phenomena is discovered using detailed examples of applications across
various areas such as biology, combustion, traffic flow, heat
transfer, fluid mechanics, quantum mechanics, and the chemical reactor
theory. New features of the Second Edition also include:
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Additional intermediate-level exercises that facilitate the
development of advanced problem-solving skills
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New applications in the biological sciences, including
age-structure, pattern formation, and the propagation of diseases
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An expanded bibliography that facilitates further investigation
into specialized topics
With individual, self-contained chapters and a broad scope of
coverage that offers instructors the flexibility to design courses to
meet specific objectives, An Introduction to Nonlinear Partial
Differential Equations, Second Edition is an ideal text for applied
mathematics courses at the upper-undergraduate and graduate levels. It
also serves as a valuable resource for researchers and professionals
in the fields of mathematics, biology, engineering, and physics who
would like to further their knowledge of PDEs.
J. David Logan, PhD, is Willa Cather Professor of Mathematics at the
University of NebraskaÂ-Lincoln. He has authored several texts on
elementary differential equations and beginning partial differential
equations, including Applied Mathematics, Third Edition, also
published by Wiley. Dr. Logan's research interests include
mathematical physics, combustion and detonation, hydrogeology, and
mathematical biology.
