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Partial Differential Equations: Second Edition (Graduate Studies in Mathematics) 2nd Edition

by Lawrence C. Evans (Author)
4.6 out of 5 stars 35 customer reviews
ISBN-13: 978-0821849743
ISBN-10: 0821849743
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Product Details

  • Series: Graduate Studies in Mathematics
  • Hardcover: 749 pages
  • Publisher: American Mathematical Society; 2 edition (March 3, 2010)
  • Language: English
  • ISBN-10: 0821849743
  • ISBN-13: 978-0821849743
  • Product Dimensions: 1.8 x 7.2 x 10.2 inches
  • Shipping Weight: 3.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.6 out of 5 stars  See all reviews (35 customer reviews)
  • Amazon Best Sellers Rank: #93,502 in Books (See Top 100 in Books)

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Customer Reviews

Top Customer Reviews

4.0 out of 5 starsSolid opening, weak ending.
By T. Butler on March 3, 2007
Format: Hardcover
If you are just getting started in learning PDEs and want to see all the classical problems/solutions (Poisson, Laplace, Heat, and Wave Equations), then this book might be a little advanced for you, but it is solid in this content if you have a solid background in analysis (probably best to have at least one high-level analysis class that covers all the multivariable calculus material as you will find that your ability to identify and use Green's Theorems will make life much easier as you get started). This is considered "Part I" of the book.

Once you have covered all the nice problems that don't exist in practice, you are ready to move onto general linear PDE theory in Part II of the book. I would recommend you complete a course in measure theory before you start in on chapter 5, which covers Sobolev spaces. I would then recommend that you complete a course in functional analysis before starting chapter 6 or 7 (chapters 5-7 are Part II of this book). This is not necessary as you will have access to a fairly complete appendix of functional analysis results in this book, but once you understand functional analysis and measure theory, then you will be able to grasp the idea of an elliptic (or in chapter 7, parabolic or hyperbolic) operator acting on a function space (the function space being a Sobolev space) more easily and these ideas won't seem so abstract. Overall, the second part of this book is great if you have a lot of the prerequisites I just suggested because many of the proofs can easily be made to be three to five times longer as many steps that link ideas in functional analysis are skipped. The proofs on higher regularity will be hard to understand your first time through, so I wouldn't worry about it too much.Read more ›
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5.0 out of 5 starsPDE making sense
By A Customer on February 10, 2004
Format: Hardcover
This is a textbook for a first-year graduate course in PDE (for mathematics students). You should take courses in analysis (on the level of Rudin) and measure theory before you expect to understand everything in this book.
This is by far the best book on PDE. The text is extremely clear, and most of the rather technical proofs are prefaced with "heuristic" calculations to help the reader understand what is going on. The chapter on the calculus of variations is the best exposition I have found of the subject, and Evans completely dispenses with the awful "delta" notation which never made any sense.
The text doesn't make much use of the Fourier transform and doesn't even mention distributions, and this gives his book a definite nonlinear flavor (which is a good thing). This should become the standard introduction to PDE on the graduate level.
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4.0 out of 5 starsDense, but quite good
By Quinn Noble on July 25, 2000
Format: Hardcover
This book is a mathematician's book and not an engineer's--it hasn't a bit of material on approximating solutions of PDEs (which subject could fill several volumes by itself), and devotes a great deal of space to proving existence, regularity, and other properties of solutions to non-linear PDEs. The exposition is extremely compressed (many moderately difficult proofs are reduced to a paragraph or two).
It is also very much a graduate course (as the title indicates). Undergraduate students are advised to stay away unless they have excellent teachers, or are very good, or both.
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5.0 out of 5 starsBest textbook for a modern one-year course in PDE available.
By A Customer on September 29, 1998
Format: Hardcover
I have taught a one-year course in PDE based on Evans' book and found it extremely cogent and stimulating both for myself and for the students. The treatment is up-to-date, with a definite nonlinear flavor. Beyond that, the exercises are very good, and the treatment is sufficiently detailed to make class preparation fairly fast. It does demand mathematical dexterity and maturity of the students right from the start, though.
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5.0 out of 5 starsThis book is really good for mathematics and physics major students
By Hengrui Zhan on September 18, 2015
Format: Paperback Verified Purchase
This book is really good for mathematics and physics major students, for it do not confined itself in just PDE of just two variables and categories PDE into different type. However, if you want to use this book well and read this book fluidly, you should first have knowledge of functional analysis.
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5.0 out of 5 starsThis book opened a new world for me
By Matthias Heymann on February 24, 2006
Format: Hardcover
After several bad lectures I had already almost given up on PDE. But when I got this book into my hands, I was immediately drawn into the subject and couldn't put it down until I finished it completely. After less than a month I felt how a new world had opened up to me, and I can since feel its effect when I go to lectures.

An important feature of this book is also its perfect layout which is very easy on the eye: I have seen so many mathbooks before that try to put as much information as possible on every square inch of paper, which is hard and slow to read - not this one: Evans' book is a pleasure to just look at.

Some experience in functional analysis is very helpful.
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5.0 out of 5 starsExcellent text, not for beginners.
By piRskwayrd on October 26, 2013
Format: Hardcover Verified Purchase
This is by no means an introductory text. That said, I am in a class where this book is used but we spend a lot of our class time going over the proofs and it is an incredibly valuable skill that I am learning.
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5.0 out of 5 starsThis will become the standard text in PDE
By A Customer on November 18, 1999
Format: Hardcover
This is a very well written textbook for graduate-level students as well as an excellent reference for researchers. The outlook of the author, a leader in his field, is non-linear and very broad and includes maechanics and geometry. Any department library needs this book.
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Most Recent Customer Reviews

5.0 out of 5 starsFive Stars

good book for this sort of topic

Published 1 month ago by garrrett
3.0 out of 5 starsExtensive but not approachable

Good reference for people who already know the material, but not a very good book for someone new to the material, especially not for people who aren't math majors (i.e engineers). Read more

Published 5 months ago by Michelle
5.0 out of 5 starsFive Stars

A necessity for engineers. Keep it handy for quick reference.

Published 5 months ago by Michael S
5.0 out of 5 starsAssumes a lot of prior knowledge and is a great book for graduate...

Assumes a lot of prior knowledge and is a great book for graduate level studies. Not recommended for beginners. Read more

Published 11 months ago by Vatsal
5.0 out of 5 starsFive Stars

Love it!!

Published 17 months ago by Amalia Banuelos
4.0 out of 5 starsFour Stars

99% graduate level proofs

Published 19 months ago by Zhe yang
5.0 out of 5 starsFive Stars

Excellent book and excellent service!

Published on August 18, 2014 by Thomas R. Schulte
5.0 out of 5 starsEXCELLENT!!!

EXCELLENT!!!
I believe this is the basic tool for the partial differential equations man. A great second edition, with more workout problems.

Published on May 12, 2014 by Felipe
5.0 out of 5 starsGreat textbook

Insightful and self-contained. It is a classic textbook in PDEs that presents stuff with good movitation. i just love it!

Published on April 17, 2014 by Thada
5.0 out of 5 starsRecommended

The book got here in a perfect state. It's the best book to study PDEs for college. I recommend it.

Published on April 13, 2014 by Ciro Monteiro

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