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Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics) [Paperback]

Stanley J. Farlow , Mathematics
4.4 out of 5 stars  See all reviews (91 customer reviews)

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Book Description

September 1, 1993 048667620X 978-0486676203 Reprint
Most physical phenomena, whether in the domain of fluid dynamics, electricity, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to mathematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete description of physical systems resides in the general area of partial differential equations.
This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.

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Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics) + Ordinary Differential Equations (Dover Books on Mathematics) + Fourier Series (Dover Books on Mathematics)
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Editorial Reviews

About the Author

Partial Differential Equations & Beyond
Stanley J. Farlow's Partial Differential Equations for Scientists and Engineers is one of the most widely used textbooks that Dover has ever published. Readers of the many Amazon reviews will easily find out why. Jerry, as Professor Farlow is known to the mathematical community, has written many other fine texts — on calculus, finite mathematics, modeling, and other topics. We followed up the 1993 Dover edition of the partial differential equations title in 2006 with a new edition of his An Introduction to Differential Equations and Their Applications. Readers who wonder if mathematicians have a sense of humor might search the internet for a copy of Jerry's The Girl Who Ate Equations for Breakfast (Aardvark Press, 1998).

Critical Acclaim for Partial Differential Equations for Scientists and Engineers:
"This book is primarily intended for students in areas other than mathematics who are studying partial differential equations at the undergraduate level. The book is unusual in that the material is organized into 47 semi-independent lessonsrather than the more usual chapter-by-chapter approach.

"An appealing feature of the book is the way in which the purpose of each lesson is clearly stated at the outset while the student will find the problems placed at the end of each lesson particularly helpful. The first appendix consists of integral transform tables whereas the second is in the form of a crossword puzzle which the diligent student should be able to complete after a thorough reading of the text.

"Students (and teachers) in this area will find the book useful as the subject matter is clearly explained. The author and publishers are to be complimented for the quality of presentation of the material." — K. Morgan, University College, Swansea

Product Details

  • Series: Dover Books on Mathematics
  • Paperback: 448 pages
  • Publisher: Dover Publications; Reprint edition (September 1, 1993)
  • Language: English
  • ISBN-10: 048667620X
  • ISBN-13: 978-0486676203
  • Product Dimensions: 9.2 x 6.1 x 0.9 inches
  • Shipping Weight: 1.2 pounds (View shipping rates and policies)
  • Average Customer Review: 4.4 out of 5 stars  See all reviews (91 customer reviews)
  • Amazon Best Sellers Rank: #13,117 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews
93 of 97 people found the following review helpful
5.0 out of 5 stars A must read for all those who hate PDE's May 6, 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.
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60 of 62 people found the following review helpful
4.0 out of 5 stars Very Good May 8, 2003
Unbeatable as far as breadth. Covers a lot of ground, conceptually it's extremely well organized, and the explanations are very easy to follow. This text is ideal for self-study.
The two major shortcomings are (1) slight lack of depth and (2) the exercises, which are far too few and far too simple.
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59 of 63 people found the following review helpful
5.0 out of 5 stars A rare gem May 25, 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.
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36 of 37 people found the following review helpful
5.0 out of 5 stars an absolute gem February 22, 2010
Format:Paperback|Verified Purchase
If you'd like to teach yourself the subject of partial differential equations, and you have a decent background in calculus and ordinary differential equations, this book is perfect. It is composed of 47 chapters each of which is only a few pages long and covers an important topic, with exercises. The author is very good at explaining potentially complicated ideas in simple terms. It's all very practical, with no theorems or proofs. At the end of each chapter is suggested reading for exploring the topic in more detail. An auto-didact couldn't ask for more. I had so much fun going through this book!

One of the reviewers mentioned that the answers to the exercises had a lot of errors, and I agree. I've listed the ones I found below, with the caveat that maybe a "typo" reflects my faulty understanding. You can decide for yourself. Other than this, I can't find anything to criticize in this marvelous book.

Some specific comments:

Table 13-2: although the separation of variables method is listed as being inapplicable to nonhomogeneous boundary conditions, in fact it can be used to solve Dirichlet problems on a rectangle with one non-homogeneous boundary.

Lesson 32 p. 251: Laplacian in spherical coordinates fourth term should be cot(phi), not cot(theta).

Lesson 39 p. 320: step 2 of implicit algorithm for heat problem: u11 and u16 should be zero, not 1, so first and fourth equations equal zero, not 1, and final result is u22 and u25 are 0.2, not 0.6, and u23 and u24 are 0.6, not 0.8. These results are closer to the results given by the analytic solution u=pi/4 times sum n odd sin(n pi x)/n times exp(-n^2 pi^2 t).

Lesson 41 p. 338: step 3, the coefficients of the new canonical form are computed from equations (41.3), not (41.5).
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21 of 22 people found the following review helpful
4.0 out of 5 stars Good book November 21, 2004
I used this book in an undergraduate course, and since I couldn't see the board during lectures, I relied on only the book and it was very easy to read and understand. The major drawback of this book, and I don't know if this accounts for it's abnormally low price, is that there seem to be far more errors in the solutions than most books have. About 100 pages into the book, I had encountered so many errors, that thereafter whenever my solutions were different from the solutions in the book, I wondered first if the book was wrong, not if I had done something wrong.
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19 of 20 people found the following review helpful
5.0 out of 5 stars By far the best INTRODUCTORY text on the subject September 22, 2002
As the title implies, this book is not intended to mathematicians, although it could finely serve as additional text for them, too. On the other hand it is excellent as an itroductory overview of the types of PDE's met and the methods used for their solution. There are references to more advanced texts for the interested, excercises in each chapter and, most importantly, nice, qualitative remarks on the properties of mathematical tools (like Fourier and Laplace transform) which help the reader to comprehend them.
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14 of 14 people found the following review helpful
5.0 out of 5 stars a gem! October 9, 2005
I teach an intro course in PDE regularly and, although I don't use this as the main textbook, it is required reading for the course. Given its approach, its mathematical rigor is not quite right for the course that I teach, and it could use more interesting exercises. That said, it is indispensable for its physical and visual insights. It's brief and to-the-point and a cursory reading gives a wonderful introduction to the various topics and ideas of PDEs. The book is well written, and the informal writing matches the approach. And - the price is right!
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Most Recent Customer Reviews
5.0 out of 5 stars Best Book on the Subject, and Maybe the Best Textbook I've Used
One of the best textbooks I've ever used. It's unbelievably well laid out in what I call bathroom reading-sized chapters. Read more
Published 5 days ago by Brian A. Dickinson
There are several reviews listed for this title criticizing it for leaving out proofs and developments for PDES. Read more
Published 1 month ago by L.C.RiBS
5.0 out of 5 stars Truly a gem of an advanced math text
I have studied advanced math and practice it in my professional life, but this book was a "fun read" for me (I don't have a need for PDEs in everyday work), and hence my... Read more
Published 3 months ago by GuthrixCC
5.0 out of 5 stars Excellent introductory book
I am a math major studying intro PDE with Strauss' book required, but that book is often light on examples on motivation. Read more
Published 3 months ago by Anonymous
3.0 out of 5 stars Good for the price but little too damaged
little too damage but good for the price. I can not open the book without worrying that pages might come out. So, far very good book.
Published 4 months ago by Huma Mughal
5.0 out of 5 stars worth for money
Should have it in your shelf for quick reference of second order PDEs.
Eventhough it doesnt do a great job in covering and explaining a large variety it is very useful to... Read more
Published 4 months ago by Sumith YD
5.0 out of 5 stars A very nice book to introduce the subject
The book deals with the majority and most important contents
of Partial Differential Equations. Read more
Published 4 months ago by Jairo
5.0 out of 5 stars LOVE IT!
This book is absolutely phenomenal. It's not just a straight up mathematics book, but it intertwines greatly the mathematical tool it explains with the physical use of it, which... Read more
Published 5 months ago by Gebri Mishtaku
5.0 out of 5 stars helpful
it is really helpful for my study and i can learn a lot from it. this book is really good.
Published 5 months ago by ANNA YANG
5.0 out of 5 stars It is easy to read and contains lots of intuition and concepts for...
Same the the title. It is easy to follow and served for physicist. For example the book suggests how to look at the problem intuitively and physically before going to detailed... Read more
Published 5 months ago by Dung On Yu
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