Book Description
This book provides a fundamental introduction to numerical analysis.
This book covers numerous topics including Interpolation and Polynomial Approximation, Curve Fitting, Numerical Differentiation, Numerical Integration, and Numerical Optimization.
For engineering and computer science fields.
Customer Reviews:
Satisfactory, but with flaws.......2006-08-01
The Math Part:
I have to use this as the main text for a college math class, and while it may be a good reference book or engineering text, I don't think it's the best choice for a math course. It's written in such a way that you can flip to the section/topic you need and immediately get the main points and the formulas. But the authors don't necessarily teach their materials in the most intuitive way and frankly, don't seem that concerned with intuition at all. This makes the book quite sufficient as reference for your computations in your bioinformatics research project and such, but for a math text I would be more interested in really owning the intuition and tricky ideas so I can generalize to new cases or derive the formulas, rather than discovering 20 gazillion technical details/equations that will magically spew out an answer for who knows what reason. See the bajillion formulas on cubic splines for what I mean. Or see how instead of simple example + intuition, the authors chose to do 20 pages demonstrating Gaussian elimination.
The Matlab Part:
I learned Matlab in a few weeks from "Mastering MATLAB 7" and playing around with it on my own. It's very easy to just use the built-in manual or find all kinds of solutions to common problems using Google. There's really nothing wrong or tedious with picking up Matlab knowledge "from the manuals, man pages, the Internet, etc..." as one reviewer complained, because a language is necessarily something you pick up gradually and continually. Personally I think the reviewer was misleading in implying that this book does a good job teaching beginners Matlab. There's 1-2 programs per section, and no explanations in terms of the programming. Honestly, what are the chances that these programs will just drop into your lap and fit perfectly whatever application it is that you presumably need these numerical methods for? You will need to tailor the programs to your objectives or at least, understand WHY and HOW they work, in order to really take advantage of them, and that is outside the scope of this book. What this book really offers are the algorithms behind the programs, and not the programs themselves that are useful. In my opinion the Matlab programs were just a selling point, that's all.
There were also lots of little things that I personally just did not like about the book, where I felt the authors cut corners in their explanations or didn't phrase certain things in the best ways or used slightly funky notation or were not organized enough. Not a great math book in my opinion. But objectively speaking most people probably don't mind those kinds of details and aren't necessarily looking for a math book. So with that in mind I give it a 4.
A decent textbook without unnecessary clutter.......2006-02-05
This book goes straight to the heart of the numerical methods without unnecessary distracting fancy pictures and layout that some numerical methods textbook for engineers have. Also, the book has enough Matlab programs for a reader/student to understand essentials of Matlab programming and then tweak/modify the programs for further applications.
I wish author incorporates numerical methods for nonlinear ODE boundary value problems and eigenvalue problems related to ODE in the future edition.
Overall, it is an excellent introductory numerical methods textbook for science and engineering students. After grasping the fundamentals in this textbook, student/reader will tend to be more confident and enthusiastic while studying Numerical Analysis.
Much needed book.......2005-03-26
Whether you are an instructor for an Engineering class, Life Sciences, Statistics, Mathematics, or simply want to add practical mathematical analysis and programming, this book is the book you should use. I have been using Matlab for a number of years, and I had to pick up my Matlab knowledge from the manuals, man pages, the Internet, etc... and finding out the ins and outs of how to do something was not always an easy task nor accurate. Mathews and Fink's book put all you need to know about the most popular Mathematical methods at your finger tips. The book is tailored such that it can be used alone in a Mathematics course, or as reference in an Engineering course. One field of study that has enjoyed the power and flexibility of Matlab in the recent years is Computational Biology or Bioinformatics. Even though there are plenty of applications popping up here and there for this area of research, the area is still very much untapped and algorithms need to be developed for it as we go forward. Matlab is the best way to try out these new or improved algorithms, and use some of the available tools out there to generate C source code from your Matlab files. This method of algorithms development could save you tons of time, since Matlab makes numerical programming very simple.
The authors start with the basics in Numerical Methods; assuming that this book will be used as the primary text book in the course. A very good assumption, and the instructors who choose otherwise, can always skip the preliminaries. The context of text aims to provide a good balance of theory and application. One way that the authors try to keep this balance is to talk about "error" rate for the algorithms in question. The students are thought the limitations of Matlab along with the strengths of the software, and error analysis is one way to show the students that the results of numerical analysis is Matlab is not perfect, and more importantly why. This error analysis is done for every major algorithm and method presented in the text, and a number of methodologies are presented to help the student in figuring out this rate.
Authors start the main contents of the book with a representation of basic Linear Systems followed by a more complicated topic of Polynomial Approximation. Taylor Series and Lagrange Approximations are thoroughly covered in theory followed by examples that are solved by "hand" and by Matlab. The examples are complete, and can even be used, at least to start with, for the problem sets at the end of the chapter. As one would guess, curve fitting is the next topic of discussion. As you know, numerical techniques in science and engineering often requires curve fitting of experimental data. Starting with simple techniques of Least-Squares Lines, non-Linear Least-Square Methods and ending with the four different flavors of Spline Functions. The Matlab examples becomes more advanced as the topic progresses, and more and more examples are given as the topics get more complicated as well.
One can not learn Numerical Methods without a deep understanding of Numerical Differentiation and Numerical Integrations. Numerical methods for Differentiation are used to solve boundary value problems in ordinary differential equations and partial differential equations. Heat Transfer, Semiconductor Physics and Device Modeling, an Physical modeling of Molecules are just some of the examples that use these numerical differentiation techniques to solve problems. As is the case with the book, the authors start talking the theory behind how numerical differentiation works, and then, they go into the Matlab representation of the problem. Various approximation methods are presented, and error rate for each approximation method is also calculated in detail - both by hand and using Matlab.
Numerical Integration is a bit more difficult, as there are a number of ways to calculate the area under a curve. The authors present four numerical methods in detail: quadrature, composite trapezoidal, adaptive quadrature and Gauss-Legendre Integration. Each theory is followed by an example Matlab programs. The authors wrap up the text by talking about differential equations and partials differential equations. These two topics are difficult without using numerical methods, and it is even harder to follow the numerical theory of these topics. The authors take a slightly different approach to these topics. They start with examples from the get go. Instead of laying down the theory, they start each chapter with relevant examples from simple to more complex and abstract. Wave Equations and Heat Transfer equations are well known applications of PDE that are presented in detail. Eigenvalues, eigenvectors and the Jacodi's Meothod wrap up this text by j. H. Mathews and K. D. Fink.
I would recommend this book to be used for second year Mathematics, Physical Sciences or Engineering students. A course in Numerical Methods would benefit greatly from this book. Other students can certainly use this text to assist them with modeling, simulation and statistical problems in Electrical Engineering, Mechanical Engineering and various Applied Chemistry and Physics courses.
Deceptive Title.......2004-08-09
This book was a waste of time for me. It's a decent numerical methods book but it's basically a textbook in Numerical Methods (which I already have).
Sprinkling a few lines of Matlab code in does not make it a Matlab book.
Good introduction to numercal algorithms.......2000-07-13
The book covers most of the traditional methods. It is a good choice for learning numerical methods. The book has plenty of examples and are very easy to follow. I would recommend some background on calculus and some knoledge about matlab
Average customer rating:
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Applied Numerical Methods for Engineers Using MATLAB and C
Robert J. Schilling , and
Sandra L Harris
Manufacturer: Cengage-Engineering
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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.
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This text includes the following chapters and appendices: Introduction to MATLAB, Root approximations, Sinusoids and complex numbers, Matrices and determinants, Review of differential equations, Fourier, Taylor, and Maclaurin series, Finite differences and interpolation, Linear and parabolic regression, Solution of differential equations by numerical methods, Integration by numerical methods, Difference equations, Partial fraction expansion, The Gamma and Beta Functions and distributions, Orthogonal functions and matrix factorizations, Bessel, Legendre, and Chebyshev polynomials, Optimization methods, Difference Equations in Discrete-Time systems, Introduction to Simulink, Ill-Conditioned Matrices. Each chapter contains numerous practical applications supplemented with detailed instructions for using MATLAB and/or Excel to obtain quick solutions.
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Numerical Methods Using MATLAB (2nd Edition)
George Lindfield , and
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Manufacturer: Prentice Hall
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Book Description
Covering all the major aspects of numerical methods, this book includes many examples and problems with solutions in MATLAB.
KEY TOPICS: Illustrates all the graphics facilities of MATLAB. Provides advanced case studies demonstrating the wide applications of MATLAB. For mathematicians interested in an overview of the applications of MATLAB.
Customer Reviews:
A good book!.......1999-04-21
I have used this book as a support while doing a short course in modelling and simulation, and this book have showed me some very useful tips. The short introductions, and then computer code is a nice way of learning in my opinion. Thanks!
Book Description
In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations, and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems.
An Instructor's Manual presenting detailed solutions to all the problems in the book is available online.
Download Description
In recent years, with the introduction of new media products, there has been a shift in the use of programming languages from FORTRAN or C to MATLAB for implementing numerical methods. This book makes use of the powerful MATLAB software to avoid complex derivations, and to teach the fundamental concepts using the software to solve practical problems. Over the years, many textbooks have been written on the subject of numerical methods. Based on their course experience, the authors use a more practical approach and link every method to real engineering and/or science problems. The main benefit is that engineers don't have to know the mathematical theory in order to apply the numerical methods for solving their real-life problems.
Customer Reviews:
non-trivial analysis.......2006-07-30
The authors demonstrate how Matlab can be used for advanced numerical calculations. Many Matlab books just use numerical examples that are really elementary, from a scientific or engineering viewpoint. Those texts are more about teaching Matlab. Hence they choose simple examples, to reach a broad audience. Whereas the audience for this book is rather select. Probably tending towards professionals in the physical sciences or engineering. Or possibly grad students in these fields.
The text starts with matrix [linear] algebra. Explaining how to invert a linear system of equations. Then the book goes onto finding roots of non-linear equations, using Newton-Raphson iteration. And the always useful methods of numerical differentiation and integration. Plus other topics. Each chapter has an extensive problem set.
A central theme is that you don't need much previous knowledge of Matlab. The book guides you into its abilities to help your research.
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Bibliophiles and Bibliothieves: The Search for the Hildebrandslied and the Willehalm Codex (Cultural Property Studies.)
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Reading The Medieval Book: Word, Image, And Performance In Wolfram Von Eschenbach's Willehalm (Poetics of Orality and Literacy)
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Manufacturer: University of Notre Dame Press
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Binding: Paperback
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Book Description
"In this path-breaking book, Kathryn Starkey explores the ways—oral, visual, performative—in which Wolfram's Willehalm epic communicates with its audience. Her astute analysis of a richly illustrated earlyWillehalm codex provides insights into the live performance the text does not preserve. Versed in communication theory, manuscript studies, and art historical scholarship, Kathryn Starkey draws our attention to an epic masterpiece in which Wolfram struggles to give meaning to religious war and celebrates marital love across cultural boundaries, concerns that resonate in our age." —Eckehard Simon, Harvard University
"Reading the Medieval Book makes an exciting contribution to the history of vernacular reading. Most of the work on the reading of secular vernacular literature has concentrated on the late Middle Ages and beyond, and neither Wolfram von Eschenbach's Willehalm nor the illustrated Munich-Nuremberg manuscript have received the attention they deserve. Kathryn Starkey's persuasive exploration of this mysterious and fragmentary thirteenth-century manuscript captures an important transitional moment in the development of reading culture and the literary manuscript. Intended for a court audience that was familiar with the conventions of oral delivery but still rather unfamiliar with literary texts, the illustrations provided a sophisticated commentary on the role of the self-conscious narrator and helped the reader visualize the text's literary structure." —Andrew Taylor, University of Ottawa
"Original in its insights, lucidly argued, and rigourously coherent, Reading the Medieval Book makes a major, original statement on the relationship between text and image in medieval books." —Sarah Westphal-Wihl, Rice University
Reading the Medieval Book examines one of the most important epic poems in thirteenth-century Germany and its redaction in a richly illustrated manuscript created just fifty-five years after the poem's composition. Starkey's book reveals that the Munich-Nuremberg manuscript (c.1270) of Wolfram von Eschenbach's Willehalm (c.1215) was compiled with both oral performance and the written medium in mind.
Wolfram contrasts the visual language of the court with the auditory one of the battlefield, drawing attention to the position of the narrator and the interpretive frame that he provides. The manuscript reflects Wolfram's clear interest in the oral and visual communication that played such a dominant role in court society of the thirteenth century. Starkey argues that rather than merely depicting the events of Willehalm's plot, the Munich-Nuremberg artists also visualized nuances and shifts in the text that may otherwise have become lost when the oral text was committed to the page. The Munich-Nuremberg redaction of Willehalm provides insight into the critical transition in the literary culture of lay people in the West from a primarily oral to a literate experience.
Customer Reviews:
An ideal template for the study of other medieval poetry.......2005-05-12
Also available in a hardcover edition (0268041083, $50.00), Reading The Medieval Book: Word, Image, And Performance In Wolfram Von Eschenbach's Willehalm by Kathryn Starkey (Assistant Professor, Department of Germanic Languages, University of North Carolina - Chapel Hill), examines one of the most important epic poems in 13th Century Germany and its redaction in a richly illustrated manuscript created just fifty-five years after the poem's composition. Professor Starkey's meticulous research reveals that the Munich-Nuremberg manuscript (c. 1270) of Woflram von Eschen-bach's Willehalm (c.1215) was compiled with both oral performance and the written medium in mind. A seminal work of flawless scholarship, Reading The Medieval Book would serve as an ideal template for the study of other medieval poetry, and is particularly commended to students of Medieval era art history, culture, and literature.
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Customer Reviews:
Crummy print-on-demand edition full of typos.......2004-11-27
I haven't yet read this book, but I'm very disappointed to find that the brand new copy I bought is some sort of print-on-demand edition that looks like it was desktop-published. The paper stock is better than average, but the text quality is poor, and I've already noticed several typographical errors: on page 15, for instance, the block of text has unaccountably slid down to the center of the page; and on the back cover, the book is identified as "Literaure" [sic]. This is not the first time I have been disappointed by a badly printed Penguin, so from now on I will be buying used copies of Penguin books whenever possible. Apparently Penguin is now nothing more than a couple people with a desktop computer and an inkjet printer.
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