Applied Numerical Methods with Python for Engineers and Scientists (1版)

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【簡介】 本書介紹 　　雖然MATLAB提供高品質與強大的運算平台，可是，採購的價格卻讓許多大學望而卻步，對此問題，作者 Chapra提供了另一種選擇方案，即「透過 Python 來學習數值方法」；本書是為工學院與理學院相關系所學生精心設計的核心教材，除了扎實的理論說明，在許多章節裡還附上許多工程應用的案例，從背景陳述到詳細的解題過程，協助學生能深刻的理解與應用；內容文筆與深度都十分容易閱讀，適合大學老師採用與指定為「數值方法」課程的學習課本。 【目錄】 Table of Contents PART ONE Modeling, Computers, and Error Analysis 1 Mathematical Modeling, Numerical Methods, and Problem Solving 2 Python Fundamentals 3 Programming in Python 4 Roundoff and Truncation Errors PART TWO Roots and Optimization 5 Roots: Bracketing Methods 6 Roots: Open Methods 7 Optimization PART THREE Linear Systems 8 Linear Algebraic Equations and Matrices 9 Gauss Elimination 10 LU Factorization 11 Matrix Inverse and Condition 12 Iterative Methods 13 Eigenvalues PART FOUR Curve Fitting 14 Straight-Line Linear Regression 15 General Linear and Nonlinear Regression 16 Fourier Analysis 17 Polynomial Interpolation 18 Splines and Piecewise Interpolation PART FIVE Integration and Differentiation 19 Numerical Integration Formulas 20 Numerical Integration of Functions 21 Numerical Differentiation PART SIX Ordinary Differential Equations 22 Initial-Value Problems 23 Adaptive Methods and Stiff Systems 24 Boundary-Value Problems

Applied Numerical Methods with MATLAB for Engineers and Scientists (4版)

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書名：APPLIED NUMERICAL METHODS WITH MATLAB 4/E 作者：CHAPRA 出版社：McGraw-Hill 出版日期：2018/00/00 ISBN：9781260083255

INTRODUCTION TO APPLIED NUMERICAL ANALYSIS, AN

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his book is based on lecture notes for a numerical analysis course designed mainly for senior undergraduate students majoring in mathematics, engineering, computer science and physical sciences. The book has two overarching goals. The first goal is to introduce different available numerical procedures for finding solutions to linear equations, roots of polynomial equations, interpolation and approximation, numerical differentiation and integration, differential equations, and error analysis. The second goal is to translate theory into practice through applying commonly used numerical methods in mathematics, physical sciences, biomedical sciences, and engineering. This book was crafted in an informal and user-friendly manner to motivate the study of the material being covered. Ample figures and numerical tables are presented to enhance the reader's ease of understanding of the material under consideration. Sample Chapter(s) Preface Chapter 7: Boundary Value Problems Contents: Preliminaries Solution of Linear System of Equations Roots of Nonlinear Equations Polynomial Approximation and Interpolation Differentiation and Integration Initial Value Problems Boundary Value Problems Partial Differential Equations Readership: Undergraduate students in Mathematics, Statistics, Physics, Engineering and Computer Science, biomedical, and any Course dealing with numerical calculations and computations.