Download this **PDF **book: Solving Applied Mathematical Problems with MATLAB 1st Edition by Dingyu Xue, YangQuan Chen

This textbook presents a variety of applied mathematics topics in science and engineering with an emphasis on problem solving techniques using MATLAB.

The authors provide a general overview of the MATLAB language and its graphics abilities before delving into problem solving, making the book useful for readers without prior MATLAB experience. They explain how to generate code suitable for various applications so that readers can apply the techniques to problems not covered in the book.

Examples, figures, and MATLAB scripts enable readers with basic mathematics knowledge to solve various applied math problems in their fields while avoiding unnecessary technical details.

Computational Thinking, coined and promoted by Jeannette Wing of Carnegie Mellon University, is getting more and more attention. “It represents a universally applicable attitude and skill set everyone, not just computer scientists, would be eager to learn and use” as acknowledged by Dr. Wing, “Computational Thinking draws on math as its foundations.”

The present book responds to “Computational Thinking” by offering the readers enhanced math problem solving ability and therefore, the readers can focus more on “Computational Thinking” instead of “Computational Doing.” The breadth and depth of one’s mathematical knowledge might not match his or her ability to solve mathematical problems.

In today’s applied science and applied engineering, one usually needs to get the mathematical problems at hand solved efficiently in a timely manner without complete understanding of the numerical techniques involved in the solution process. Therefore, today, arguably, it is a trend to focus more on how to formulate the problem in a form suitable for computer solution and on the interpretation of the results generated from the computer.

We further argue that, even without a complete preparation of mathematics, it is possible to solve some advanced mathematical problems using a computer. We hope this book is useful for those who frequently feel that their level of math preparation is not high enough because they still can get their math problems at hand solved with the encouragement gained from reading this book.

Using computers to solve mathematical problems today is ubiquitous. MATLABr Simulink is considered as the dominant software platform for applied math related topics. Sometimes, one simply does not know one’s problem could be solved in a much simpler way in MATLAB or Simulink.

From what Confucius wrote, “The craftsman who wishes to work well has first to sharpen his implements,”2 it is clear that MATLAB is the right, already sharpened “implement.” However, a bothering practical problem is this: MATLAB documentation only shows “this function performs this,” and what a user with a mathematical problem at hand wants is,

Given this math problem, through what reformulation and then use of what functions will get the problem solved.” Frequently, it is very easy for one to get lost in thousands of functions offered in MATLAB plus the same amount, if not more, of functions contributed by the MATLAB users community.

## Review

"… this volume has many interesting cases to illustrate the power of MATLAB."

―Bulletin of the Belgian Mathematical Society, Volume 20, 2013

"The reader’s ability to tackle mathematical problems can be significantly enhanced after reading this book. …This book can be used as a reference text for almost all college students, both undergraduates and graduates, in almost all disciplines that require certain levels of applied mathematics.

This book will be a good desktop reference for many who have graduated from college and are still involved in solving mathematical problems in their jobs. A lot of MATLAB function designed by the authors and some third-party free toolboxes are also presented in the book."

## Contents:

1 Computer Mathematics Languages — An Overview

2 Fundamentals of MATLAB Programming

3 Calculus Problems

4 Linear Algebra Problems

5 Integral Transforms and Complex Variable Functions

6 Nonlinear Equations and Numerical Optimization Problems

7 Differential Equation Problems

8 Data Interpolation and Functional Approximation Problems

9 Probability and Mathematical Statistics Problems

10 Nontraditional Solution Methods

## About the Author:

Northeastern University, Shenyang, China Utah State University, Logan, Utah, USA

## About the book:

Publisher : Chapman and Hall/CRC; 1st edition (November 3, 2008)

Publication date : November 3, 2008

Language : English

Pages : 446

File : **PDF**, 2MB

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