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An Introduction to Numerical Methods in C++, by B. H. Flowers
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Designed for the many applied mathematicians and engineers who wish to explore computerized numerical methods, this text explores the power of C++ as a tool for work in numerical methods. This revision of the successful first edition includes for the first time information on programming in Windows-based environments. In addition it includes new topics and methods throughout the text that clarify and enhance the treatment of the subject.
- Sales Rank: #2503173 in Books
- Published on: 2000-06-22
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 6.60" h x 1.20" w x 9.40" l, 1.90 pounds
- Binding: Paperback
- 550 pages
Review
From reviews of the first edition: "If you are interested in numerical methods or are looking for a course text, this book is worth your attention." Journal of the Association of C and C++ Users
About the Author
Lord Flowers, F.R.S.
Most helpful customer reviews
9 of 10 people found the following review helpful.
Good application of OOP to numerical methods
By A Customer
I used this book to teach myself the subject matter. It is well written and uses the powerful advantages of object oriented programing. My only real criticism is the lack of a source diskette.
0 of 0 people found the following review helpful.
Good in its day, but seriously dated.
By Ian A. Taylor
The copyright page of this book states “This book has been printed digitally and produced in a standard specification in order to ensure its continuing availability.” This means that you will receive, as I did, a brand new book, paperback, perfect bound, good quality paper and printing. It is 533 pages long including Bibliography, eight Appendices listing custom classes and headers, and an Index.
The text of the book that I received is that of the 2006 printing of the Second (Revised) Edition of 2000, based on the First Edition of 1996. The book uses Borland TurboC++ running on DOS as the implementation platform, with the the Second Edition providing corrections, C++ templates, and a substantial addition for those, in the author’s words “wishing to work in Windows”. The addition is a complete chapter, an Addendum, entitled “Programming in Windows”.
Now might be a very good time to stop. Stop reading this review and pass on - to another review and another book. This is a computer book written in the early 1990s, revised in 2000, that targets an obsolete platform and uses C++ code prior to the ANSI C++ standard.
The C++ the author presents is “C with Classes”, he takes the first two chapters to cover the C in C++, data types, derived types, pointers, preprocessor directives, etc, followed by sequence, iteration, and branching, and finally some items specific to C++, overloading and function templates.
Chapter Three presents the first of the numerical methods with truncation, rounding errors, stability, convergence, speed, amongst others, being addressed. Mathematical treatment for items such as, Rolle’s Theorem, Weighted Mean Value Theorem, Taylor’s Theorem and others is presented; you will need to be up to speed with your calculus!
These chapters are fairly straight forward and should present little implementation difficulty to an experienced programmer. Initially a complete program with a main() is provided to illustrate various points, so you can type it in, compile and execute. Code fragments and stand-alone functions start to appear; the tendency to present new materials in this form increases as you move through the book.
As the book progresses an occasional driver (main()) function is presented, elsewhere the assumption is that the reader will know what to do with the components presented. This can present difficulties, so if you do not know how to put a program together, compile and debug it, you will become frustrated very quickly; this is not a book for a beginner!
Classes are introduced in Chapter Five and the author uses custom classes for Strings, Complex Numbers, Arrays, and later Vector and Matrix, to demonstrate the structures of a class and the uses of public, private, friend, input and output streams, overloading, etc, etc. There is no disc or web site for this book, so if you want to use the code you will be typing it in yourself; the eight appendices are listings for a series of custom classes and headers.
Integer arithmetic, linear equations, vectors, matrices, systems of equations, differentiation, integration, and many other topics follow in the succeeding chapters, leading up to chapter on Fourier Analysis, it’s an impressive achievement. The mathematical treatment is solid, with many of the ideas being demonstrated with code fragments or stand-alone functions. Again a complete program is rare, so as mentioned above, you will have to integrate the examples into your own driver program.
There is one chapter on Graphics, that use the Borland/TurboC++ API for character based drawing. It is updated in an Addendum for Windows 95 and Windows 98 and Borland/TurboC++ OWL (Object Windows Library.)
The book appear to have been very well received in its First Edition. The world was very young then, DOS on the PC was readily available, C++, Windows, and the Borland products were new, and gaining market share. This book must have been unique, and in a class environment short work could be made of the need to type in all of the classes and headers - and provide the drivers to demonstrate the examples - and a motivated instructor could easily have pulled it all together.
But the world has changed, the technologies used are obsolete or no longer available and, of course, an ANSI Standard for C++ exists, and is now C++14. The mathematics is timeless and readily available elsewhere, as are software libraries for all items covered. If you want to be, as the author notes “close to the machine”, many other sources and the web are available.
This an OUP (Oxford University Press) book, and on their site they want $110 (plus shipping). This appears to have created a “price umbrella” with all other suppliers pricing from this baseline. Elsewhere on the web it is not much better, even for an original first or second edition or ex-library.
This is a lot of money for a technical book from the mid 90s that uses obsolete technology.
So why buy this book?
On the dedication page the author has the following interchange from The Path to Rome by Hilaire Belloc. LECTOR is reader, and AUCTOR is author.
LECTOR: Why one earth did you write this book?
AUCTOR: For my amusement.
LECTOR: And why do you suppose I got it?
AUCTOR: I cannot conceive …
A touch of tongue in cheek perhaps, the author having some fun? Or, a message to us?
Obviously OUP thinks highly enough to the work to ensure it continuing availability as a new book, and as the author of the book can no longer defend his work (not that I think he needs to), I am reluctant to be overly critical. However, given the obsolete technologies, the work you need to put in to make the code run, and the price for the book (new or used), I cannot come up with a good reason to buy this book. I believe that the this book was perfectly timed and of value when released, but not so for present times.
One star would be unfair, if not unkind, three stars unrealistic and convey the wrong message, so I have settled on two.
6 of 10 people found the following review helpful.
so so
By Y. Meng
It is jus so so, like most books by either oxford or cambridge, a bit too concise and lack of explanation. Use complicated code to achieve simple goals. If you are a novice, want to computing in C++, don't buy this one.
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