Praise for the First Edition:
"This book is well conceived and well written. The author hassucceeded in producing a text on nonlinear PDEs that is not onlyquite readable but also accessible to students from diversebackgrounds."
--SIAM Review
A practical introduction to nonlinear PDEs and their real-worldapplications
Now in a Second Edition, this popular book on nonlinear partialdifferential equations (PDEs) contains expanded coverage on thecentral topics of applied mathematics in an elementary, highlyreadable format and is accessible to students and researchers inthe field of pure and applied mathematics. This book provides a newfocus on the increasing use of mathematical applications in thelife sciences, while also addressing key topics such as linearPDEs, first-order nonlinear PDEs, classical and weak solutions,shocks, hyperbolic systems, nonlinear diffusion, and ellipticequations. Unlike comparable books that typically only use formalproofs and theory to demonstrate results, An Introduction toNonlinear Partial Differential Equations, Second Edition takes amore practical approach to nonlinear PDEs by emphasizing how theresults are used, why they are important, and how they are appliedto real problems.
The intertwining relationship between mathematics and physicalphenomena is discovered using detailed examples of applicationsacross various areas such as biology, combustion, traffic flow,heat transfer, fluid mechanics, quantum mechanics, and the chemicalreactor theory. New features of the Second Edition alsoinclude:
* Additional intermediate-level exercises that facilitate thedevelopment of advanced problem-solving skills
* New applications in the biological sciences, includingage-structure, pattern formation, and the propagation ofdiseases
* An expanded bibliography that facilitates further investigationinto specialized topics
With individual, self-contained chapters and a broad scope ofcoverage that offers instructors the flexibility to design coursesto meet specific objectives, An Introduction to Nonlinear PartialDifferential Equations, Second Edition is an ideal text for appliedmathematics courses at the upper-undergraduate and graduate levels.It also serves as a valuable resource for researchers andprofessionals in the fields of mathematics, biology, engineering,and physics who would like to further their knowledge of PDEs.