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Numerical Methods Using Matlab by J.H.Mathews, K.D.Fink
Numerical Methods Using Matlab by J.H.Mathews, K.D.Fink
An elementary introduction to numerical analysis is given in this book. Numerous subjects are covered in this book, such as Curve Fitting, Numerical Differentiation, Numerical Integration, and Numerical Optimization. for careers in engineering and computer science.
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An elementary introduction to numerical analysis is given in this book. Numerous subjects are covered in this book, such as Curve Fitting, Numerical Differentiation, Numerical Integration, and Numerical Optimization. for careers in engineering and computer science.
Reprinted with permission from an excerpt. Toutes droits réservés.
For undergraduate students studying mathematics, computer science, physical sciences, and engineering, this book offers a foundational introduction to numerical analysis. It is expected that the reader has taken a course on structured programming and is conversant with calculus. There is enough information in the text to fill either a single term course or a yearlong sequence. In other words, there is enough information in the book for instructors to choose the subjects that best suit their classes.
Numerical approaches should be extremely engaging and helpful to students from a variety of backgrounds, and this is kept in mind throughout the text. As a result, there are many different instances and issues that aid in honing one’s skills in both the theory and application of numerical analysis. When feasible, computer computations are displayed in tables and graphs to make the resultant numerical approximations simpler to see and understand. The means of exposing the underlying numerical techniques are MATLAB applications.
Understanding the advantages and disadvantages of numerical approaches is emphasized. This is difficult since it requires balancing readability, error analysis, and theory. Each technique’s error analysis is provided in a way that is acceptable for the approach at hand while also not alienating the reader. Each technique has a mathematical derivation that advances the student’s calculus knowledge by using simple results. Students get the chance to hone their scientific programming abilities through computer tasks using MATLAB.
A pocket calculator or computer can be used for shorter numerical exercises, while MATLAB routine libraries can be used for larger ones. It is up to the instructor to advise the students on how to apply numerical computations in the classroom. Each teacher is able to create tasks that fit the available computing resources. It is advised to experiment with the MATLAB subroutine libraries. Students can utilize these resources to help them complete the numerical analysis portion of the computer lab tasks.
The chapter on curve fitting has been expanded in this edition to include a section on Bezier curves. Additionally, an introduction to direct and derivative-based techniques for optimizing functions of one or more variables has been included to the chapter on numerical optimization. On request, the authors may provide a list of the MATLAB programs used in this textbook (http://math.fullerton.edu/mathews/numerical.html). The publisher offers an instructor’s solution handbook for the exercise sets.
Before, we believed that pupils could use whatever piece of software they had learned. But many of the students enrolled in this course are not yet proficient in a programming language (computer science students excepted). Nearly all engineers and applied mathematicians now use MATLAB, and recent updates have increased the programming features. Therefore, we believe that using this MATLAB version of our literature will be simpler and more effective for students.
Salepage : Numerical Methods Using Matlab by J.H.Mathews, K.D.Fink
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