An Introduction to Nonlinear Partial Differential Equations / Wiley Series in Pure and Applied Mathematics (PDF)

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:

* Additional intermediate-level exercises that facilitate the
development of advanced problem-solving skills

* New applications in the biological sciences, including
age-structure, pattern formation, and the propagation of
diseases

* 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.