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Ordinary Differential Equations in the Complex Domain (Dover Books on Mathematics), by Einar Hille, Mathematics
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Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
- Sales Rank: #361351 in Books
- Published on: 1997-04-09
- Released on: 1997-04-09
- Original language: English
- Number of items: 1
- Dimensions: 8.46" h x 1.00" w x 5.54" l, 1.11 pounds
- Binding: Paperback
- 484 pages
From the Back Cover
For students not conversant with the required complex analysis, review material has been supplied throughout the text. In addition, each chapter has a list of references to the literature, and there is a bibliography at the end of the book. The exercises at the ends of sections compromise some 675 items.
Most helpful customer reviews
21 of 21 people found the following review helpful.
Brilliant and instructive - with difficulties
By Joachim Albrecht
After an Introduction, which provides the necessary fundamental facts with didactic skill, chapters concerning Existence and Uniqueness, and Singularities follow. After the 4th chapter dealing with Riccati's Equation the main point are linear DE of second order. The book continues with chapters on special topics (7 Representation Thms, 8 Complex Oscillation Theory, 9 Linear nth Order and Matrix DE, 10 The Schwarzian). At the end nonlinear DE are treated. The extensive field in the title is explained deeply and very lucidly yet on an elementary level. However, at some points there are difficulties (e. g. some passages where the exposition is too brief). The exercises at the end of every section, which are at least in part easy, are very instructive. The index is good and the lists of references include many original work which, however, are generally quite old. Unfortunately there is no index of symbols. Chapter 9 on Linear nth Order and Matrix DE is brilliant in my opinion.
0 of 0 people found the following review helpful.
I bought this because I enjoyed. Analytic Function Theory
By Eric Richard Zenk
I bought this because I enjoyed.Analytic Function Theory. I haven't finished reading it, but it covers a lot of ground and is pretty readable. (warning: I have a phd in math, so readable for me might mean something different.)
1 of 6 people found the following review helpful.
The good collections about complex domain O.D.E.
By Chi Tsung Chen
It arranged many papers about complex domain O.D.E. It open the door to this topic.
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