Applied Partial Differential Equations (Undergraduate Texts in Mathematics) 3rd Edition by J. David Logan | (PDF) Free Download

Description

This textbook is for the standard, one-semester, junior-senior course that often goes by the title “Elementary Partial Differential Equations” or “Boundary Value Problems”. The audience consists of students in mathematics, engineering, and the sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and bounded domains, and applications of PDE’s to biology. The text differs from other texts in its brevity; yet it provides coverage of the main topics usually studied in the standard course, as well as an introduction to using computer algebra packages to solve and understand partial differential equations.For the 3rd edition the section on numerical methods has been considerably expanded to reflect their central role in PDE’s. A treatment of the finite element method has been included and the code for numerical calculations is now written for MATLAB. Nonetheless the brevity of the text has been maintained. To further aid the reader in mastering the material and using the book, the clarity of the exercises has been improved, more routine exercises have been included, and the entire text has been visually reformatted to improve readability.

User’s Reviews

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

⭐Great little book, very concise and clear. No gaps in logic/mathematics/physical formulations where they may arise. I bought it for self study, but admittedly I already had a background in PDE. Assumes knowledge of Calc 1-3 and some experience with ODE is preferred, but there is an appendix that goes over how to solve first and second order ODE. You will learn all the basic (applied) terminology that you won’t get in a typical PDE book that’s not applied or for scientists and engineers. It goes over pretty much everything that an elementary PDE book should. I think the section on Separation of Variables is a little short, but you get the idea. I will buy another copy of this book as my copy is a little damaged now.

⭐Two of my courses this semester use books from this author, both contain a large number of typos. It’s not an issue, of course, when a word is is simply repeated. But a lot of variables and other actually important information are also affected. Things like plotting two functions both called psi(x,t) when one of them should be v(x,t). Or “x>ct” when it should say “x