Numerical Methods for Scientists and Engineers Author: Richard Hamming | Language: English | ISBN:
B00CWR4M26 | Format: PDF
Numerical Methods for Scientists and Engineers Description
For this inexpensive paperback edition of a groundbreaking classic, the author has extensively rearranged, rewritten, and enlarged the material. Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.
- File Size: 14996 KB
- Print Length: 752 pages
- Publisher: Dover Publications; 2 edition (April 25, 2012)
- Sold by: Amazon Digital Services, Inc.
- Language: English
- ASIN: B00CWR4M26
- Text-to-Speech: Enabled
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- Lending: Enabled
- Amazon Best Sellers Rank: #157,264 Paid in Kindle Store (See Top 100 Paid in Kindle Store)
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- #11
in Kindle Store > Kindle eBooks > Nonfiction > Science > Mathematics > Mathematical Analysis - #12
in Kindle Store > Kindle eBooks > Nonfiction > Science > Mathematics > Pure Mathematics > Number Theory - #12
in Kindle Store > Kindle eBooks > Nonfiction > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Number Theory
Throughout the book, that motto is repeated.
By reading and absorbing the material in this book, the reader is left with the tools and the insights necessary to derive their own numerical methods.
No longer will numerical methods be memorized as textbook formulas -- now the reader can adapt and derive a formula to solve a specific problem, instead of trying to fit one of a small number of textbook formulas to a problem.
The distinction is made between numerical analysis and numerical methods, with emphasis on the latter.
The book is roughly divided into two parts. The first part covers classical numerical methods, using classical error analysis (truncation error, roundoff error). The second part reexamines these methods under the frequency domain, analyzing how numerical methods affect various frequencies (the "transfer function" approach).
Numerical methods are derived under an information theory model, such as by finding a quadrature formula of the highest polynomial degree of accuracy, given limited information about the function and its derivatives.
Matrices and linear systems are not discussed as much as one might expect, although one chapter convincingly leads the reader to question some classical methods.
The content is well-rounded, introducing many readers to topics such as random number generators, difference equations and summation formulas, digital filters and quantization, discrete fourier transforms and the FFT, and orthogonal polynomials. A background in calculus is all that is needed.
Many real-world examples and anecdotes are cited, but without too much detail or too many illustrations given.
This book encourages the reader to ask: "What information is available about the problem?
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