Numerical Methods for Scientists and Engineers / Edition 2

Paperback (Print)
Buy Used
Buy Used from BN.com
$14.68
(Save 41%)
Item is in good condition but packaging may have signs of shelf wear/aging or torn packaging.
Condition: Used – Good details
Used and New from Other Sellers
Used and New from Other Sellers
from $6.33
Usually ships in 1-2 business days
(Save 74%)
Other sellers (Paperback)
  • All (35) from $6.33   
  • New (15) from $12.66   
  • Used (20) from $6.33   

Overview

Numerical analysis is a subject of extreme interest to mathematicians and computer scientists, who will welcome this first inexpensive paperback edition of a groundbreaking classic text on the subject. In an introductory chapter on numerical methods and their relevance to computing, well-known mathematician Richard Hamming ("the Hamming code," "the Hamming distance," and "Hamming window," etc.), suggests that the purpose of computing is insight, not merely numbers. In that connection he outlines five main ideas that aim at producing meaningful numbers that will be read and used, but will also lead to greater understanding of how the choice of a particular formula or algorithm influences not only the computing but our understanding of the results obtained.
The five main ideas involve (1) insuring that in computing there is an intimate connection between the source of the problem and the usability of the answers (2) avoiding isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem (3) avoidance of roundoff (4) overcoming the problem of truncation error (5) insuring the stability of a feedback system.
In this second edition, Professor Hamming (Naval Postgraduate School, Monterey, California) extensively rearranged, rewrote and enlarged the material. Moreover, this book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include:
I. Fundamentals and Algorithms
II. Polynomial Approximation- Classical Theory
Ill. Fourier Approximation- Modern Theory
IV. Exponential Approximation ... and more
Highly regarded by experts in the field, this is a book with unlimited applications for undergraduate and graduate students of mathematics, science and engineering. Professionals and researchers will find it a valuable reference they will turn to again and again.

Read More Show Less

Product Details

  • ISBN-13: 9780486652412
  • Publisher: Dover Publications
  • Publication date: 3/1/1987
  • Series: Dover Books on Mathematics Series
  • Edition number: 2
  • Pages: 752
  • Sales rank: 422,523
  • Product dimensions: 5.38 (w) x 8.47 (h) x 1.42 (d)

Meet the Author

Richard W. Hamming: The Computer Icon
Richard W. Hamming (1915–1998) was first a programmer of one of the earliest digital computers while assigned to the Manhattan Project in 1945, then for many years he worked at Bell Labs, and later at the Naval Postgraduate School in Monterey, California. He was a witty and iconoclastic mathematician and computer scientist whose work and influence still reverberates through the areas he was interested in and passionate about. Three of his long-lived books have been reprinted by Dover: Numerical Methods for Scientists and Engineers, 1987; Digital Filters, 1997; and Methods of Mathematics Applied to Calculus, Probability and Statistics, 2004.

In the Author's Own Words:
"The purpose of computing is insight, not numbers."

"There are wavelengths that people cannot see, there are sounds that people cannot hear, and maybe computers have thoughts that people cannot think."

"Whereas Newton could say, 'If I have seen a little farther than others, it is because I have stood on the shoulders of giants, I am forced to say, 'Today we stand on each other's feet.' Perhaps the central problem we face in all of computer science is how we are to get to the situation where we build on top of the work of others rather than redoing so much of it in a trivially different way."

"If you don't work on important problems, it's not likely that you'll do important work." — Richard W. Hamming

Read More Show Less

Table of Contents

Preface
I Fundamentals and Algorithms
  1 An Essay on Numerical Methods
  2 Numbers
  3 Function Evaluation
  4 Real Zeros
  5 Complex Zeros
  *6 Zeros of Polynomials
  7 Linear Equations and Matrix Inversion
  *8 Random Numbers
  9 The Difference Calculus
  10 Roundoff
  *11 The Summation Calculus
  *12 Infinite Series
  13 Difference Equations
II Polynomial Approximation-Classical Theory
  14 Polynomial Interpolation
  15 Formulas Using Function Values
  16 Error Terms
  17 Formulas Using Derivatives
  18 Formulas Using Differences
  *19 Formulas Using the Sample Points as Parameters
  20 Composite Formulas
  21 Indefinite Integrals-Feedback
  22 Introduction to Differential Equations
  23 A General Theory of Predictor-Corrector Methods
  24 Special Methods of Integrating Ordinary Differential Equations
  25 Least Squares: Practice Theory
  26 Orthogonal Functions
  27 Least Squares: Practice
  28 Chebyshev Approximation: Theory
  29 Chebyshev Approximation: Practice
  *30 Rational Function Approximation
III Fournier Approximation-Modern Theory
  31 Fourier Series: Periodic Functions
  32 Convergence of Fourier Series
  33 The Fast Fourier Transform
  34 The Fourier Integral: Nonperiodic Functions
  35 A Second Look at Polynomial Approximation-Filters
  *36 Integrals and Differential Equations
  *37 Design of Digital Filters
  *38 Quantization of Signals
IV Exponential Approximation
  39 Sums of Exponentials
  *40 The Laplace Transform
  *41 Simulation and the Method of Zeros and Poles
V Miscellaneous
  42 Approximations to Singularities
  43 Optimization
  44 Linear Independence
  45 Eigenvalues and Eigenvectors of Hermitian Matrices
  N + 1 The Art of Computing for Scientists and Engineers
Index
* Starred sections may be omitted.
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)