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Product Description
Highly useful text for students, professionals working in the applied sciences shows how to formulate and solve partial differential equations. Realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems and numerical and approximate methods. Problems and solutions. Suggestions for further reading. 1982 edition.
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Most Helpful Customer Reviews
24 of 24 people found the following review helpful
Format:Paperback
Most other books on PDEs begin with a theoretical discussion of classification/existence and uiqueness of solutions, etc. Not to say that this is an incorrect approach to take, but if you are a scientist or an engineer, who wishes to get to the solution of a problem, rather than the theory behind the problem, you might feel a bit lost with those other books.
Not so with this book - divided into 47 semi independent chapters, it looks at each of the three classes of PDEs - parabolic, hyperbolic and elliptic, discusses where they arise, and how each of these can be solved. The emphasis is more on intuition than on theory - which suits engineers and scientists pretty well. If you are interested in more advanced topics, each chapter contains pointers to more advanced books on the topic.
There is also a section (11 chapters) on numerical techniques and approximate solutions, which assume importance when seen in light of the computing power that we have these days.
Finally, there is even a PDE crossword, for those who are interested...
Not so with this book - divided into 47 semi independent chapters, it looks at each of the three classes of PDEs - parabolic, hyperbolic and elliptic, discusses where they arise, and how each of these can be solved. The emphasis is more on intuition than on theory - which suits engineers and scientists pretty well. If you are interested in more advanced topics, each chapter contains pointers to more advanced books on the topic.
There is also a section (11 chapters) on numerical techniques and approximate solutions, which assume importance when seen in light of the computing power that we have these days.
Finally, there is even a PDE crossword, for those who are interested...
4 of 4 people found the following review helpful
Format:Paperback
As an engineer I want to solve problems which eventually means to solve the mathematical equations, (PDE's in this case), which explain the physical models behind the real-world problems, and I think, this book is the fastest and easiest way to learn how to solve those PDE's.
No interminable intensive mathematical demonstrations and proofs of "2+2=4", just the way I must follow to solve PDE's, all methods based in a very intuitive, yet not rigorous, approaching.
I suppose a mathematician will not like this book because of the too frivolous treatment of the subject, but for me is PERFECT!
I usually solve PDE's with MATLAB and to be honest I don't have any idea about the way the program does it, so why should I be worried about the "recipes" Mr. Farlow gives me to do the same, I trust him, and I always can get a more advance text the day I want to go more deeply into the subject.
The introduction to "Monte Carlo", "Perturbation" and "Variations" methods in the final chapters are genial.
No interminable intensive mathematical demonstrations and proofs of "2+2=4", just the way I must follow to solve PDE's, all methods based in a very intuitive, yet not rigorous, approaching.
I suppose a mathematician will not like this book because of the too frivolous treatment of the subject, but for me is PERFECT!
I usually solve PDE's with MATLAB and to be honest I don't have any idea about the way the program does it, so why should I be worried about the "recipes" Mr. Farlow gives me to do the same, I trust him, and I always can get a more advance text the day I want to go more deeply into the subject.
The introduction to "Monte Carlo", "Perturbation" and "Variations" methods in the final chapters are genial.
2 of 3 people found the following review helpful
Format:Paperback|Amazon Verified Purchase
Initial facts
This 'Dover' book is a unabridged, corrected book originally published by 'Wiley & Sons' (1982). The Dover brand often reprints great books otherwise would be out - of - print. The book has a font of a size that's easy to read, and has b&w text, graphs, drawings.
Impressions of the book
The whole book explains problems which include Hyperbolic, Parabolic and elliptic types. The manner in which it explains is if the dense proofs are removed from the front parts of the book, and suspended until later. What is left is a very broad spread of information. The methods in which the equations are solved uses the most straight forward manner, such as 'Separation of Variables'.
By readily applying these understandable facts they become foundations for subsequent information. Then brilliantly, and helpfully, exploring these issues by choosing problems a physics / engineering student would feel some physical familiarity. This is the way this book is differing from other P. D. F. pure maths books. These types are also great as well, but reading both types is a boon.
Conclusions & summary
But each of the remaining explanations still invoke wonder at the beauty of it. When you plough through the book the depth of the complexity increases over time. But the whole aggregation of explanations make learning these topics eventually very satisfying. I could not grasp all of the explanations but its a good book to return too and tease the topics again and again.
This 'Dover' book is a unabridged, corrected book originally published by 'Wiley & Sons' (1982). The Dover brand often reprints great books otherwise would be out - of - print. The book has a font of a size that's easy to read, and has b&w text, graphs, drawings.
Impressions of the book
The whole book explains problems which include Hyperbolic, Parabolic and elliptic types. The manner in which it explains is if the dense proofs are removed from the front parts of the book, and suspended until later. What is left is a very broad spread of information. The methods in which the equations are solved uses the most straight forward manner, such as 'Separation of Variables'.
By readily applying these understandable facts they become foundations for subsequent information. Then brilliantly, and helpfully, exploring these issues by choosing problems a physics / engineering student would feel some physical familiarity. This is the way this book is differing from other P. D. F. pure maths books. These types are also great as well, but reading both types is a boon.
Conclusions & summary
But each of the remaining explanations still invoke wonder at the beauty of it. When you plough through the book the depth of the complexity increases over time. But the whole aggregation of explanations make learning these topics eventually very satisfying. I could not grasp all of the explanations but its a good book to return too and tease the topics again and again.
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