- Series: Texts in Applied Mathematics (Book 11)
- Hardcover: 578 pages
- Publisher: Springer; 4th edition (December 5, 1992)
- Language: English
- ISBN-10: 0387978941
- ISBN-13: 978-0387978949
- Product Dimensions: 6.1 x 1.4 x 9.2 inches
- Shipping Weight: 2 pounds (View shipping rates and policies)
- Average Customer Review: 4.0 out of 5 stars See all reviews (20 customer reviews)
- Amazon Best Sellers Rank: #626,918 in Books (See Top 100 in Books)
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Differential Equations and Their Applications: An Introduction to Applied Mathematics (Texts in Applied Mathematics) (v. 11) 4th Edition
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Top Customer Reviews
the most interesting set of applications I've seen in a
high-level text. It also contains all the linear algebra
needed to understand the material. This book was based on
a course the author taught. Indeed, Braun's claim that
students taking linear algebra would refer to his course
for a refresher is well-deserved. Exercises are generally
difficult but the examples are easy to follow. Buy this if
you want to truly understand the subject matter.
The book begins with a no-nonsense discussion of how to solve differential equations analytically. Unlike many books, it gives clear instructions to the reader as to how to know which techniques are applicable. Also, it does not introduce qualitative or numerical methods until it has already developed a number of analytic techniques, and in my opinion, this results in greater clarity than the path most books take of integrating (or should I say jumbling?) the material together. The book gradually and logically covers the ground between analytic and numerical, moving towards actually writing algorithms, which are included in the text. The emphasis is always on understanding. Exercises are straightforward and useful.
My only complaint is that, in this modern age, the C programs should be included in the text and the Pascal and FORTRAN ones relegated to the index. (It is the other way around, alas.)
This book is simply wonderful for anyone studying differential equations for the first time. I do not understand why undergraduate institutions use the more commercialized texts instead of ones like this. This is a great book; it would be excellent for a textbook or for self-study.