Ebook Analytic Methods for Partial Differential Equations (Springer Undergraduate Mathematics Series), by G. Evans, J. Blackledge, P. Yardley
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Analytic Methods for Partial Differential Equations (Springer Undergraduate Mathematics Series), by G. Evans, J. Blackledge, P. Yardley
Ebook Analytic Methods for Partial Differential Equations (Springer Undergraduate Mathematics Series), by G. Evans, J. Blackledge, P. Yardley
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This is the practical introduction to the analytical approach taken in Volume 2. Based upon courses in partial differential equations over the last two decades, the text covers the classic canonical equations, with the method of separation of variables introduced at an early stage. The characteristic method for first order equations acts as an introduction to the classification of second order quasi-linear problems by characteristics. Attention then moves to different co-ordinate systems, primarily those with cylindrical or spherical symmetry. Hence a discussion of special functions arises quite naturally, and in each case the major properties are derived. The next section deals with the use of integral transforms and extensive methods for inverting them, and concludes with links to the use of Fourier series.
- Sales Rank: #2419798 in Books
- Brand: Brand: Springer
- Published on: 2007-10-24
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x .72" w x 6.00" l, .96 pounds
- Binding: Paperback
- 316 pages
- Used Book in Good Condition
Most helpful customer reviews
0 of 0 people found the following review helpful.
Five Stars
By s
ok
10 of 10 people found the following review helpful.
Useful as a first reading
By Dr. Oliver Strebel
This textbook treats the subject of partial differential equations
on a quite elementary level. In a leisurley fashion (no definitions
and proofs) the subject is developed for readers having only a
background in analysis of several variables and the theory of
complex functions. Very nice is the introdction to the theory of
distributions. Here and in the other parts of the book the emphasis
is on concrete calculations in science and engineering rather than the
mathematical structure of the theory.
The book covers separation of variables, Fourier and Laplace transforms
and the theory of Green functions. Exercises with solutions make
this book well suited for self study. However there are not many
but more than a few mistakes and inaccuracies, which could make
the book hard going for beginners. But by patiently solving these
issues the reader will benefit from this text
18 of 20 people found the following review helpful.
Good as an introduction
By Bernardo Vargas
This text is a more or less modern approach to a classical subjet. The way it tackles the solution of PDE's, though stated in a modern language, is indeed dated, I mean, it employs mostly the traditional "down-to-earth" analytic approach instead of the more modern and efficient operator approach. However, undergraduate students will find it very useful to get acquainted with practical methods for actually solving PDE's, and then they can proceed to deeper study on the analytic properties of the solutions (the real goal of abstract PDE theory).
Some of the topics covered in the book are orthogonal functions, separation of variables, the characteristic method, D'Alembert's method, integral transforms, Green's fuctions, and more.
Please check my other reviews in my member page (just click on my name above).
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