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Numerical Methods for Engineers and Scientists, Second Edition, [Hardcover]

Joe D. Hoffman (Author), Steven Frankel (Author)
4.9 out of 5 stars  See all reviews (7 customer reviews)

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Book Description

0824704436 978-0824704438 May 31, 2001 2
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "…a good, solid instructional text on the basic tools of numerical analysis."

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Product Details

  • Hardcover: 840 pages
  • Publisher: CRC Press; 2 edition (May 31, 2001)
  • Language: English
  • ISBN-10: 0824704436
  • ISBN-13: 978-0824704438
  • Product Dimensions: 10.1 x 7.1 x 1.7 inches
  • Shipping Weight: 3.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.9 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #425,050 in Books (See Top 100 in Books)

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7 Reviews
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20 of 20 people found the following review helpful:
5.0 out of 5 stars Perfect numerical methods book as one can get for a 1st course., November 16, 2005
This review is from: Numerical Methods for Engineers and Scientists, Second Edition, (Hardcover)
A great textbook for a first course in Numerical Methods as it gives an extensive yet detailed coverage of numerical techniques that form the base for more advanced work in CFD. This book is based almost entirely on the finite difference method for solving differential equations. A chapter addresses finite element techniques but it only a primer; you will need a textbook solely devoted to FEM. This book is written for a mechanical engineer, as most of the governing equations are invariably from the areas of heat transfer, fluid flow, gas dynamics and solid mechanics.

The good points are
1. Each method described comes with a index notated formula that takes the head ache out of programming. Plus there are plenty of FORTRAN subroutines to look at.

2. Not only does Hoffman give you the finite difference equation he also throws in a solved example with one or two iterations worked out in full detail; the benefit of this cannot be overstated.

3. Plenty of practice problems with results at the back of the book.

4. Enough math to give the reader an insight into how the method works. If you care for rigor this is not the book.

The drawbacks are
1. Hoffman has condensed the portions dealing with PDE's from previous editions cutting out some theoretical development. Since most wouldn't have had a course in PDE's (like me) a few more pages might have better squared away a few difficult concepts (eg. characteristic lines of PDE's).

2. Could use another round of proof-reading. This book is littered with typos; which one runs into even in key formulas. This is unacceptable in what is otherwise a pedagogically sound book.

3. I would have liked to see some more elaboration on multidimensional problems in PDE's apart from the 1D unsteady examples which form the workhorse. Hoffman mentions that the explicit methods for 1D unsteady problems work for higher while the implicit schemes introduce numerical complexity which merit advanced methods. These specialized methods for higher dimensional parabolic and hyperbolic PDE's are not developed. As it stands the book is packed with enough material for 3 semesters study.

This book works well for self study. Everything from linear algebra (direct and iterative methods, LU factorization, eigenproblems), non-linear eqns, interpolation, numerical integration and differentiation, ODE's, BVP's, and PDE's is touched upon. Unlike most introductory texts Hoffman doesn't shy away from non-linear problems in differential equations.

I used it for the num. methods course even though the prescribed text was Heath's Scientific Computing which was the worst textbook I ever read (thankfully never purchased it). If you are getting started in CFD then this book provides a solid first step.
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4.0 out of 5 stars Great Book, March 26, 2011
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This review is from: Numerical Methods for Engineers and Scientists, Second Edition, (Hardcover)
This book is great an explaining principle, providing examples, and sample code. It would be improved my more visual explanation of method procedures.
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5.0 out of 5 stars Good Book To start, Finite Element Methods, February 11, 2011
This review is from: Numerical Methods for Engineers and Scientists, Second Edition, (Hardcover)
I spend couple of months on searching a good book on Numerical method specifically a introductory text on Finite Element Methods
and finally found this one. This is a good book for any one who do not have any experience of Finite Element Methods before.

To understand Finite Element Methods, it would be help full if one flows along the progression of the book rather then reading specific chapters.

Overall, This is a good book for Numerical Method and best Introduction to Finite element Methods I have read so far.
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Inside This Book (learn more)
First Sentence:
This Introduction contains a brief description of the objectives, approach, and organization of the book. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
modified midpoint method, direct fit polynomials, program main defines, data ndim, derivative function evaluations, exact partial derivatives, remainder term yields, information propagation speed, direct power method, global solution domain, interpolating polynominals, leading truncation error terms, shifted power method, results output flag, asymptotic steady state solution, fitting approximating polynomials, linear convection equation, algebraic finite difference equation, more prominent packages, real characteristic paths, shifted inverse power method, subroutine lufactor, diffusion equation solver, heat diffusion problem, least squares straight line approximation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Work Problem, Summary Problems Examples, Numerical Recipes, Dividing Eqs, Repeat Problem, Summary Four, Use Gauss-Jordan, Work Example
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