ENGLISH

Numerical Analysis and Scientific Computation

By Jeffery J. Leader

Book information

Publisher
CRC Press/Chapman & Hall
Year
2022
ISBN
0367486865, 9780367486860
Language
english
Format
PDF
Filesize
11 MB (11495804 bytes)
Series
Textbooks in Mathematics
Edition
2
Pages
582\583
Time added
2022-09-05 11:07:58

Description

This is an introductory single-term numerical analysis text with a modern scientific computing flavor. It offers an immediate immersion in numerical methods featuring an up-to-date approach to computational matrix algebra and an emphasis on methods used in actual software packages, always highlighting how hardware concerns can impact the choice of algorithm. It fills the need for a text that is mathematical enough for a numerical analysis course yet applied enough for students of science and engineering taking it with practical need in mind. The standard methods of numerical analysis are rigorously derived with results stated carefully and many proven. But while this is the focus, topics such as parallel implementations, the Basic Linear Algebra Subroutines, halfto quadruple-precision computing, and other practical matters are frequently discussed as well. Prior computing experience is not assumed. Optional MATLAB subsections for each section provide a comprehensive self-taught tutorial and also allow students to engage in numerical experiments with the methods they have just read about. The text may also be used with other computing environments. This new edition offers a complete and thorough update. Parallel approaches, emerging hardware capabilities, computational modeling, and data science are given greater weight. Dedication Contents Preface Preface to the 2nd Edition, Student Preface to the 1st Edition 1. Nonlinear Equations 2. Linear Systems 3. Iterative Methods 4. Polynomial Interpolation 5. Numerical Integration 6. Differential Equations 7. Nonlinear Optimization Afterword Index

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