Numerical Methods in Engineering with Python 3 | 3rd

Description

download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf is targeted toward engineers and engineering students of advanced standing (juniors, seniors, and graduate students). Familiarity with a computer language is required; knowledge of engineering mechanics (statics, dynamics, and mechanics of materials) is useful, but not essential. The primary purpose of the text is to teach numerical methods. It is not a primer on Python programming. We introduce just enough Python to implement the numerical algorithms. That leaves the vast majority of the language unexplored. for more free electrical books click here

Most engineers are not programmers, but problem solvers. They want to know what methods can be applied to a given problem, what their strengths and pitfalls are, and how to implement them. Engineers are not expected to write computer code for basic tasks from scratch; they are more likely to use functions and subroutines that have been already written and tested. Thus, programming by engineers is largely confined to assembling existing bits of code into a coherent package that solves the problem at hand in download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf .

Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition

The “bit” of code is usually a function that implements a specific task. For the user the details of the code are unimportant. What matters are the interface (what goes in and what comes out) and an understanding of the method on which the algorithm is based? Because no numerical algorithm is infallible, the importance of understanding the underlying method cannot be overemphasized; it is, in fact, the rationale behind learning numerical methods. download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf attempts to conform to the views outlined earlier.

Each numerical method is explained in detail and its shortcomings are pointed out. The examples that follow individual topics fall into two categories: hand computations that illustrate the inner workings of the method, and small programs that show how the computer code is utilized in solving a problem. Problems that require programming are marked with. The material consists of the usual topics covered in an engineering course on numerical methods: solution of equations, interpolation and data fitting, numerical differentiation and integration, solution of ordinary differential equations, and eigenvalue problems.

The choice of methods within each topic is tilted toward relevance to engineering problems. For example, there is an extensive discussion of symmetric, sparsely populated coefficient matrices in the solution of simultaneous equations. In the same vein, the solution of eigenvalue problems concentrates on methods that efficiently extract specific eigenvalues from banded matrices of download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf .

principle reasons of print of this book

An important criterion used in the selection of methods was clarity. Algorithms requiring overly complex bookkeeping were rejected regardless of their efficiency and robustness. This decision, which was taken with great reluctance, is in keeping with the intent to avoid emphasis on programming.

The selection of algorithms was also influenced by current practice. This disqualified several well-known historical methods that have been overtaken by more recent developments. For example, the secant method for finding roots of equations was omitted as having no advantages over Ridder’s method. For the same reason, the multistep methods used to solve differential equations (e.g., Milne and Adams methods) were left out in favor of the adaptive Runge-Kutta and Bulirsch-Stoer methods.

Notably absent is a chapter on partial differential equations. It was felt that this topic is best treated by finite element or boundary element methods, which are outside the scope of this book. The finite-difference model, which is commonly introduced in numerical methods texts, is just too impractical in handling multidimensional boundary value problems in download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf .

What Is New in This Edition

download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf succeeds Numerical Methods in Engineering with Python, which was based on Python 2. As the title implies, the new edition migrates to Python 3. Because the two versions are not entirely compatible, almost all computer routines required some code changes.

We also took the opportunity to make a few changes in the material covered:

•  An introduction to the Python plotting package matplotlib. pyplot was added to Chapter 1. This package is used in numerous example problems, making the book more graphics-oriented than before.
• The function plotPoly, which plots data points and the corresponding polynomial interpolant, was added to Chapter 3. This program provides a convenient means of evaluating the fit of the interpolant.
•  At the suggestion of reviewers, the Taylor series method of solving initial value problems in Chapter 7 was dropped. It was replaced by Euler’s method.
•  The Jacobi method for solving eigenvalue problems in Chapter 9 now uses the threshold method in choosing the matrix elements marked for elimination. This change increases the speed of the algorithm.
•  The adaptive Runge-Kutta method in Chapter 7 was recorded, and the Cash-Karp coefficients replaced with the Dormand-Prince coefficients. The result is a more efficient algorithm with tighter error control.

Twenty-one new problems were introduced, most of them replacing old problems. пew Some example problems in Chapters 4 and 7 were rearranged or replaced with new problems. The result of these changes is better coordination of examples with the text in download free Numerical Methods in Engineering with Python 3 – Kiusalaas 3rd edition published in 2013 book as pdf.