Numerical Toolbox for Verified Computing I is popular PDF and ePub book, written by Rolf Hammer in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Numerical Toolbox for Verified Computing I can be Read Online from any device for your convenience.
Numerical Toolbox for Verified Computing I Book PDF Summary
As suggested by the title of this book Numerical Toolbox for Verified Computing, we present an extensive set of sophisticated tools to solve basic numerical problems with a verification of the results. We use the features of the scientific computer language PASCAL-XSC to offer modules that can be combined by the reader to his/her individual needs. Our overriding concern is reliability - the automatic verification of the result a computer returns for a given problem. All algorithms we present are influenced by this central concern. We must point out that there is no relationship between our methods of numerical result verification and the methods of program verification to prove the correctness of an imple~entation for a given algorithm. This book is the first to offer a general discussion on • arithmetic and computational reliability, • analytical mathematics and verification techniques, • algorithms, and • (most importantly) actual implementations in the form of working computer routines. Our task has been to find the right balance among these ingredients for each topic. For some topics, we have placed a little more emphasis on the algorithms. For other topics, where the mathematical prerequisites are universally held, we have tended towards more in-depth discussion of the nature of the computational algorithms, or towards practical questions of implementation. For all topics, we present exam ples, exercises, and numerical results demonstrating the application of the routines presented.
Detail Book of Numerical Toolbox for Verified Computing I PDF
- Author : Rolf Hammer
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642784231
- Genre : Mathematics
- Total Page : 348 pages
- Language : English
- PDF File Size : 8,5 Mb
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