Applied Numerical Methods with MATLAB for Engineers and Scientists

Book Description

Still brief - but with the chapters that you wanted - Steven Chapra’s new second edition is written for engineers and scientists who want to learn numerical problem solving. This text focuses on problem-solving (applications) rather than theory, using MATLAB, and is intended for Numerical Methods users; hence theory is included only to inform key concepts. The new second edition feature new material such as Numerical Differentiation and ODE's: Boundary-Value Problems.

Excel for Scientists and Engineers: Numerical Methods

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Excel for Scientists and Engineers: Numerical Methods
E. Joseph Billo
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Paperback

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ASIN: 0471387347

Book Description

Learn to fully harness the power of Microsoft Excel® to perform scientific and engineering calculations

With this text as your guide, you can significantly enhance Microsoft Excel's® capabilities to execute the calculations needed to solve a variety of chemical, biochemical, physical, engineering, biological, and medicinal problems. The text begins with two chapters that introduce you to Excel's Visual Basic for Applications (VBA) programming language, which allows you to expand Excel's® capabilities, although you can still use the text without learning VBA. Following the author's step-by-step instructions, here are just a few of the calculations you learn to perform:

Use worksheet functions to work with matrices
Find roots of equations and solve systems of simultaneous equations
Solve ordinary differential equations and partial differential equations
Perform linear and non-linear regression
Use random numbers and the Monte Carlo method

This text is loaded with examples ranging from very basic to highly sophisticated solutions. More than 100 end-of-chapter problems help you test and put your knowledge to practice solving real-world problems. Answers and explanatory notes for most of the problems are provided in an appendix.

The CD-ROM that accompanies this text provides several useful features:

All the spreadsheets, charts, and VBA code needed to perform the examples from the text
Solutions to most of the end-of-chapter problems
An add-in workbook with more than twenty custom functions

This text does not require any background in programming, so it is suitable for both undergraduate and graduate courses. Moreover, practitioners in science and engineering will find that this guide saves hours of time by enabling them to perform most of their calculations with one familiar spreadsheet package

History: Fiction or Science? (Chronology, No. 1)

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Calculations are only as good as your numbers
Pants on fire?
Accepted History & Chronology Must Be Changed.
Very Interesting
History as Science Fiction

History: Fiction or Science? (Chronology, No. 1)
Anatoly Fomenko
Manufacturer: Mithec
ProductGroup: Book
Binding: Paperback

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ASIN: 2913621058

Book Description

Recorded history is a finely-woven magic fabric of intricate lies about events predating the sixteenth century. There is not a single piece of evidence that can be reliably and independently traced back earlier than the eleventh century. This book details events that are substantiated by hard facts and logic, and validated by new astronomical research and statistical analysis of ancient sources.

Customer Reviews:

Calculations are only as good as your numbers.......2007-08-03

Yes, we can all agree that mainstream history is nearly 100% BS due to politics, economics, ego, problems with dating techniques, and various conspiracies. Agreed. But, I've been researching the distinct possibility that human history (in terms of civilizations) are much more ancient than we've been told, so coming across this book was very interesting to me. I wondered how Fomenko could be wrong (if at all) because he is very persuasive in his presentations. Then it dawned on me. If at previous times in prehistory, due to the various catastrophies that are well documented (comets, asteroids, planetary disruptions, plasma discharge, pole reversals, etc) the Earth was in a different position in relation to the sun, different tilt on its axis, different orbit, different rotation (in terms of velocity and DIRECTION), and the continents were in different positions, then would this not cause the ancients to see the sky (constellations) differently? In other words, is Fomenko making erronious assumptions about the physics of the Earth in pre-history, which then corrupt his data with regards to dating the relevant astrology? The last event to seriously disrupt our planet occured roughly 3500 years ago, according to other good researchers, so is it possible Fomenko has been confused by this? The vastly different physics of our planet in the not so distant past may explain this confusion, which is not to say the "mainstream" version of history is correct; on the contrary. I am not an expert in these fields, but wanted to see if this idea could spark discussion.

Pants on fire?.......2007-07-19

Will people ever read before spamming? Yes, Jesuits could not rewrite world history alone, they had help. Anyway, Dr Prof Acad A.Fomenko does not point to jesuits as the driving force of world wide history manipulation in published volumes 1,2,3;, actually he barely mentions the poor devils. Check it with 'Search inside' feature, please. China is rarely mentioned either, in fact, Dr Fomenko is completely eurocentric. Right, his theory contradicts all mainstream schools of history, because in their actual state they are all built on blatantly erroneus chronology. You don't need a mysterious cabal (conspiracy) to falsify history, the falsification is its modus operandi. It is inherent to history(ians) to falsify (distort) events, as it is inherent to humans to boast as it is inherent to power (authority) to legimize itself by referrring to glorious past made to its own order. Dr Prof Fomenko and team have identified scores of instances of such manipulation in Russian, European, etc.. history, and delivered valid statistical proof thereof. His own 'reconstruction' is completely another story. Forget c14 as a valid method of dating. W.Libby has initially discovered a brilliant method of INDEPENDENT dating. Too bad, c14 method has become a joke after a forced marrige with dendrochronology with consensual chronological scale inbuilt. Radiocarbon method can't stand blind tests, but is so very productive as a rubberstamp.

Accepted History & Chronology Must Be Changed. .......2007-04-09

There is no doubt that history as most know it is a sham, & institution's version of History both University & Church is fradulent & inaccurate. Everything was established with an agenda, The real "Dark Ages" are now when we have access to incredible amounts of information past authorities & more important 'common folk' didn't have but our institutions & educators are slow to evolve because of what has ignorantly & arrogantly been taught for too long. This is on many subjects not just Chronology.

For anyone to question "Why would a Mathematician have anything credible to say of History?" The answer is from Dr. Fomenko's preface in the book: "It would be worthwhile to remind the reader that in the XVI-XVII century Chronology was considered to be a subdivision of Mathematics." These volumes could possibly be some of the most important works to date & should be read by everyone with an interest in History, especially professors & educators who have a duty to the public. I have read both books & must say that 'Chronology 1' has some very eye opening & revolutionary information. Even if these volumes are part true the implications are profound & opens the doors to further investigations & questions which must be done. I speak several different lanquages & must say the logic Dr. Fomenko uses with "inflection" of words & words being read from left to right in one region & right to left in another then written backwards, the removal of vowels & get down to basics of words, or different cities & locations having the same name etc. is correct. Vowel usage has always been optional & varied, actually complicating linquistics & study. The first thing one has to understand is that words never had a fixed spelling in history like we do now, the spelling of words was mutable & regional, as well as names & titles of people were vast, varied & changed, NOTHING WAS FIXED or understood linear. Matters of Life & Death as well as financial profiteering yesterday & today were & are made with ignorant, illogical & conspiratorial views of history & reality, it's time people get closer to the Truth & society collectively grow up.

Very Interesting.......2007-03-07

It is a good proposal and I believe it will mature into something even better in the future. I think it deserves to be read.

History as Science Fiction.......2007-01-10

Anatoly Fomenko has written a very intriguing book, full of pictures, charts, and computer 'proof' of his thesis: backwards of AD900 we don't really know what happened or when. Between AD900 and AD1600 there is more certainty, but there is still a lot of fuzzy ground, and things don't get reliable until we get past the 1600's where the printing press made it very difficult for the perpetrators of this timeline manipulation to change anything that had been committed to print. The Dark Ages did not happen. Books were burned for a reason. One organization has doubled the actual length of its existence by expanding the real chronology. Read why.

I had always wondered why Christ died about AD33 and yet men waited until the 11th century to form the Knights Templar, the Cathars, etc and go after the Holy Land by force. Why the 1000 year gap? Turns out there wasn't more than a 10-12 year gap and he proves it using astronomy. This also implies that the planet is not as old as we have been told, and current Christian and other creationist scientists are already championing that idea without being aware of Fomenko's book. The two groups, creationist scientists and the Russian mathematical analysts corroborate each other. Fascinating.

Of course, all this flies in the face of what we have been told traditionally is the 'proper' chronology of western civilization, and most readers will experience 'cognitive dissonance' in reading this book. It means that our history going backwards from AD1600 becomes progressively more incorrect and unreliable until it cannot be trusted at all... in the space of 700-800 years.

Naturally, the curious, open-minded reader will want to know WHO did this, WHY, and did any of the events we think of as really ancient ever happen?
Dr. Fomenko is a respected scientist/mathematician at Moscow State University who has already answered these questions to the satisfaction of his initially skeptical colleagues. Most of them are now believers, a few still refuse to believe (the usual diehards), and of course the western press has ignored Fomenko's work -- for obvious reasons when you read the book. The ones who perpetrated this chronology ruse have a lot to answer for. They are still with us. That's why this book is a well-kept secret.

I gave the book a 4-star rating because I was unable to check out some of his claims; those I checked were as he said. But if even 1/3 of his claims are true, this punches a big hole in what we think is our history, the meaning of western civilization, our educational process (for repeating the ruse as gospel), and the trustworthiness of the organization that perpetrated this ruse, well-intentioned or not.

This book relates to current research into a Young Earth paradigm, to John Keel's discoveries about our planet, and Fr Malachi Martin's insights (in his now out-of-print books). We are indeed sheep who are manipulated and kept ignorant -- for a reason. While knowing what these men have to say may be the "booby prize" (as in: 'what can you do with this knowledge?'), it will provide interesting reading. Didn't someone say: "...and the Truth will set you free."?? For you to judge if this book contains the truth.

Numerical Methods for Engineers: With Software and Programming Applications

Average customer rating:

As a textbook?
Chech out paper back international edition. Cheeper and same contents.
Numerical Methods made easy
A excellent book ruined by clutter
Excellent Reference for Numerical Algorithms Programming

Numerical Methods for Engineers: With Software and Programming Applications
Steven C. Chapra , and Raymond Canale
Manufacturer: McGraw-Hill Science/Engineering/Math
ProductGroup: Book
Binding: Hardcover

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ASIN: 0072431938

Book Description

*Retaining its comprehensive yet accessible and user-friendly style, this edition incorporates new examples and techniques *Includes excellent applications sections with a variety of engineering problems *contains software-based examples and engineering-oriented problems

Customer Reviews:

As a textbook?.......2006-10-26

I've noticed several reviewers have benifited from this book as a reference for algorithms in specific topics, which is something the book is really good at in my opinion.

However, we studied the book as a junior level textbook in numerical methods and went into many problems in doing so. Although the motiviation is well, the presentation is not. For example, the parts on Fourier Approximation (Chapter 19), and Finite Difference: Elliptic Equations (Chapter 29) really do require good background knowledge on behalf of the reader, and the authors sometimes rush into the approximation techniques with hardly any explination of the underlying logic.

For undergraduate students, I don't believe this book is good for self-teaching. More elaboration is needed in the derivations of the nemurical techniques, and without that, many of us were lost when it came to homeworks and computer projects.

On the bright side, The graphs are excellent , and the book covers a very wide range of topics and presents many codes and worked out examples.

Chech out paper back international edition. Cheeper and same contents........2006-08-16

Type in search the authers name, Steven C. Chapra, and it will give a list of the books by him. you get the same edition but international in english same figures everything.

Numerical Methods made easy.......2006-02-11

I bought this book a little while ago to get more familiar with interpolation which I need to use in some of the signal analysis software that I write. As I was reading through the book I suddenly realized the overall usefulness of numerical methods in general. It has helped me code up routines for solving matrices and interpolation algorithms. After reading this book I really can not understand how courses in linear algebra and differential equations can be taught without extensive use of numerical methods.

This book has really opened my eyes to a whole new way of solving engineering problems.

Andy (andys@d2d.com)

A excellent book ruined by clutter.......2006-02-05

The basic content of the book is excellent. However, in trying to cover different packages and/or languages the book loses its charm.

This book is a glaring example of how an otherwise excellent textbook can be ruined by clutter. If the authors had stayed with Fortran/C or Matlab (but not both) and provided more of ready made programs or subroutines, it would be a lot more useful.

Excellent Reference for Numerical Algorithms Programming.......2006-02-01

If you are a programmer who must work with calculation intensive algorithms, you will need a book such as this. The chapters are well written and cover many subjects which are easily forgotten when not used often. The section explaining the difference between precision and accuracy is quite good.

Also worthy of personal praise is the suggestion that piecemeal cubic spline approximations more accurately reflect abrupt (zonal) shifts in the data, better than do higher order polynomical approximations.

The book seems to cover most of the subjects that a non-specialist programmer might need, when confronted with a numerical methods prospect. Topics include: matrix reduction, numerical differentiation and integration, truncated series approximations, curve fitting and fast fourier transforms to name a few. It also deals extensively with the nitty-gritty of computing, from bits, bytes and numerical representations; to MatLab, MathCAD, and Fortran.

Average customer rating:

Good text for an undergrad class

Applied Numerical Methods for Engineers
Terrence J. Akai
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471575232

Book Description

This book is also available through the Introductory Engineering Custom Publishing System. If you are interested in creating a course-pack that includes chapters from this book, you can get further information by calling 212-850-6272 or sending email inquiries to engineer&atsign;jwiley.com. Designed to cover scores of numerical techniques (including statistical methods) encountered by engineers and technologists. Pedagogically sound it uses a conversational style and contains highlighted key words and end-of-chapter summaries along with method summary, pitfalls and recommendations for choice of techniques. 800f the worked examples and case studies are based on applied problems. A complete chapter on design features problems relevant to using this tool in engineering practice. Offers over 40 pseudocodes for implementing methods discussed.

Customer Reviews:

Good text for an undergrad class.......2004-01-23

A very hands-on, applied bent to this book. Designed explicitly to cater to engineering undergraduates, it forsakes strict mathematical rigour for what is more useful to engineers. Namely, there is emphasis on numerous examples, that are fully described. So much so that they may be considered case studies.

Book Description

This book provides a comprehensive discussion of numerical computing techniques with an emphasis on practical applications in the fields of civil, chemical, electrical, and mechanical engineering. It features two software libraries that implement the algorithms developed in the text - a MATLAB® toolbox, and an ANSI C library. This book is intended for undergraduate students. Each chapter includes detailed case study examples from the four engineering fields with complete solutions provided in MATLAB® and C, detailed objectives, numerous worked-out examples and illustrations, and summaries comparing the numerical techniques. Chapter problems are divided into separate analysis and computation sections. Documentation for the software is provided in text appendixes that also include a helpful review of vectors and matrices. The Instructor's Manual includes a disk with software documentation and complete solutions to both problems and examples in the book.

Design of Experiments: Statistical Principles of Research Design and Analysis

Average customer rating:

Statistics text for people who understand statistics

Design of Experiments: Statistical Principles of Research Design and Analysis
Robert O. Kuehl
Manufacturer: Duxbury Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0534368344

Book Description

Robert Kuehl's DESIGN OF EXPERIMENTS, Second Edition, prepares students to design and analyze experiments that will help them succeed in the real world. Kuehl uses a large array of real data sets from a broad spectrum of scientific and technological fields. This approach provides realistic settings for conducting actual research projects. Next, he emphasizes the importance of developing a treatment design based on a research hypothesis as an initial step, then developing an experimental or observational study design that facilitates efficient data collection. In addition to a consistent focus on research design, Kuehl offers an interpretation for each analysis.

Customer Reviews:

Statistics text for people who understand statistics.......2000-05-03

Kuehl covers a lot of statistical designs, and provides great examples and practice problems. However, the book is not "user friendly" even for student who have had several semesters coursework in regression analysis. Also, the author tends to change his notation from chapter to chapter without telling the reader, thus creating great confusion. For example "r" or "k" could signify replicate. Some sections are poorly organized.

Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations

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Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations
Ernst Hairer , Christian Lubich , and Gerhard Wanner
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 3540430032

Book Description

Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.

Numerical Methods for Scientists and Engineers

Average customer rating:

Are you technical?
Gives an intuitive feel for numerical methods
Like no other book on numerical methods I have read.
The Purpose of Computing is Insight, Not Numbers
Can numerical analysis be fun?

Numerical Methods for Scientists and Engineers
Richard Hamming
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 0486652416

Book 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 Therory; Exponential Approximation.

Customer Reviews:

Are you technical?.......2007-03-21

The price is immaterial. Hamming is the recognized expert in coding and many fields of mathematics. The writing is surprisingly easy to follow. (none of that - solution is left as an exercise for the student). You need this book if you do any kind of mathematics on a PC. We're talking DSP, simulations, whatever. Okay, price counts - it's cheap, outstanding info.

Gives an intuitive feel for numerical methods.......2006-03-11

Chances are, if you have a degree in engineering of any kind, you have seen all of the numerical methods outlined here before. However, the purpose of this book is not just to detail how to perform different kinds of calculations. Instead, the author is attempting to give you an intuitive feel for the mathematics as well.

The book starts with an essay on numerical methods that discusses the book's five main ideas starting with its motto, which is the first idea - "The purpose of computing is insight, not numbers." The second idea is that it is necessary to study families of numbers and algorithms and to relate one family to another. The third and fourth major ideas are that of roundoff and truncation error, each of which is an effect of computing on finite machines. The final main idea is that of feedback and stability, where numbers produced at one stage are looped back to feed other stages of computations, and the result may or may not be stable.

The remainder of the book then studies many families of calculations and numbers based on these insights. The book is divided into five parts - Fundamentals and Algorithms, Polynomial Approximation, Fourier Approximation, Exponential Approximation, and finally a miscellaneous section which talks about approximations to singularities, optimization, linear independence, and eigenvalues and eigenvectors of Hermitian matrices. As you can see, the idea throughout this book is that since numerical methods are the use of numbers to simulate mathematical processes, then all of these algorithms are actually approximations. Throughout the book there are clearly worked out examples with plenty of illustrations and also many exercises, some with solutions. Highly recommended.

Like no other book on numerical methods I have read........2003-08-24

I sympathise with the reviewer who said this is one of the few
books on numerical methods he could stand. I will go further
and say this is a book that can be enjoyed. Example: section 2.8
"The Frequency Distribution of Mantissas" explains why the
leading digits of of decimal numbers are not uniformly
distributed, a result that is surely counterintuitive. There is
much more material of interest in this book too. It does
contain standard material too but is more readable than many
books. The author offers much practical advice and insight.
(Hamming is a famous name in applied mathematics and electical
engineering).

The Purpose of Computing is Insight, Not Numbers.......1999-03-24

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? How can it be used to solve the problem? What are the limits of this information?" The approach is practical, not merely analytical.

This book teaches what most other numerical books fail to teach: How to derive your own formulas, and thus your own solutions to problems. And that is perhaps the most important lesson of all.

Can numerical analysis be fun?.......1998-07-24

This is the only book on numerical methods I can stand. But, not only can I stand it: now I love it. It's one of the cleverest books I ever met. Hamming must be a genius of insight. Even if you wrote your thesis on differential equations, I bet you will be enriched by reading his considerations on them, from the numerical precision viewpoint. The same is true for Fourier methods, only much more, as this is the main topic of this surprising and wonderful book. Since then I bought every book written by Hamming during his lifespan, which is unfortunately over.

Numerical Methods in Engineering with Python

Average customer rating:

Undergrad Numerical Method Textbook

Numerical Methods in Engineering with Python
Jaan Kiusalaas
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521852870

Book Description

Numerical Methods in Engineering with Python is a text for engineering students and a reference for practicing engineers, especially those who wish to explore the power and efficiency of Python. Examples and applications were chosen for their relevance to real world problems, and where numerical solutions are most efficient. Numerical methods are discussed thoroughly and illustrated with problems involving both hand computation and programming. Computer code accompanies each method and is available on the book web site. This code is made simple and easy to understand by avoiding complex bookkeeping schemes, while maintaining the essential features of the method. Python was chosen as the example language because it is elegant, easy to learn and debug, and its facilities for handling arrays are unsurpassed. Moreover, it is an open-source software package; free and available to all students and engineers. Explore numerical methods with Python, a great language for teaching scientific computation.

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Customer Reviews:

Undergrad Numerical Method Textbook.......2005-12-02

The content is typical of an undergraduate course in numerical methods. The author employs Python for that. It doesn't tell you how to use various modules available on the net. Instead, the author sticks to the standard few and explains numerical methods from the very basics. The book is very good for an introduction coursework. However, if you are a researcher looking for tools for serious numerical computation and thinking of using Python as an efficient and convenient organizer(or "glue") rather than a number cruncher, you might as well consult the book by H.P. Langtangen.

This book is also useful if you want to get a hang on how a textbook numerical method would work on Python. You can then use the language for a quick algorithm prototyping in your own work.

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