am 6. Mai 1998
We all had to go through the drudgery of PDE's in undergraduate courses and except if you're a math major your knowledge of the methods of solution will probably stop at separation of variables, Laplace transform and D'Alembert. This book is an excellent review of a host of methods for solution but what is more important is the physical interpretation of the PDE's the author insists on. Most of the physical examples are drawn from the fields of heat and mechanics but they can be easily applied to electromagnetic and semiconductor charge transport problems. Every aspiring senior in an engineering discipline should study this book for his own good.
am 25. Mai 2000
Partial differential equations can be obscure, and are often not dealt with at all at the undergraduate level. Assuming only a reasonable familiarity with calculus and ordinary differential equations, this book is extraordinarily clear and even enjoyable. Divided into neat, digestible segments suitable for self-study, I found it a very useful introduction to PDE's, covering a very broad range of topics and examples. My only suggestion for improvement would be a more up-to-date review of numeric methods using a computer algebra system. Nonetheless, even this section (examples intended to be worked by hand) is very clear and makes alternate texts much easier to absorb. I would recommend it to anyone wishing to be more comfortable with PDEs.
am 20. Dezember 2013
This book is a gem, it is simply amazing.
The author introduces PDEs in a fantastic way. He finds always the link
to the application. He is not writing down unmotivated equations, no, he
continously remarks: "What do you think, does the solution is what you expected?"
Every equation is introduced from an engineers/physicists point of view. This is not rigour mathematics but a very good teachers point: This is the condition, this problem has to be solved, so let's solve it.
As an example: The author does not simply expects from you to understand that the second derivative in a PDE is so simple. He writes down the approximation and you see: It is the mean value which is disturbed, you will have some changes in or out... suddenly the diffusion equation makes real sense.
As you can expect from my 5 stars: Yes, the author offers a lot of problems and solutions - but he offers so much more. My book looks grubby meanwhile but I don't care. I have it often in my hands.
Final remarks, for whom this book is NOT written:
- mathematicians with a good understanding in PDEs and not teaching
- same for theoretical physicists or engineers with this good understanding and not teaching
The others: Read it
am 26. Oktober 2013
Dieses Buch vermittelt nicht nur Partielle Differentialgleichungen sonder auch deren Einbettung in die physikalische Welt.
Manchmal mag man sich über die Anordnung der Kapitel etwas wundern; Fehler gibt es auch, aber die Vorteile überwiegen bei weitem.
Dieses Buch ist ganz klar für Anfänger der PDE geeignet - das kann ich, als ein solcher, beurteilen.
am 4. März 2010
I found this book through pour luck and am glad i bought it. It provides a good introduction into partial differentiable equations. Especially the many examples and connections to real world problems made it easy to understand and makes it easier to understand. I recommend this book to anyone who wants to have an idea on PDE`s, but not to mathematicians as I reckon it is not mathematical enough for them.