MATLAB Symbolic Algebra and Calculus Tools
暫譯: MATLAB 符號代數與微積分工具

Cesar Pérez Lopez

  • 出版商: Apress
  • 出版日期: 2014-12-10
  • 售價: $2,590
  • 貴賓價: 9.5$2,461
  • 語言: 英文
  • 頁數: 260
  • 裝訂: Paperback
  • ISBN: 1484203445
  • ISBN-13: 9781484203446
  • 相關分類: Matlab微積分 Calculus
  • 海外代購書籍(需單獨結帳)

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商品描述

MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java.

MATLAB Symbolic Algebra and Calculus Tools introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. Starting with a look at symbolic variables and functions, you will learn how to solve equations in MATLAB, both symbolically and numerically, and how to simplify the results. Extensive coverage of polynomial solutions, inequalities and systems of equations are covered in detail. You will see how MATLAB incorporates vector, matrix and character variables, and functions thereof. MATLAB is a powerful symbolic manipulator which enables you to factorize, expand and simplify complex algebraic expressions over all common fields (including over finite fields and algebraic field extensions of the rational numbers). With MATLAB you can also work with ease in matrix algebra, making use of commands which allow you to find eigenvalues, eigenvectors, determinants, norms and various matrix decompositions, among many other features. Lastly, you will see how you can use MATLAB to explore mathematical analysis, finding limits of sequences and functions, sums of series, integrals, derivatives and solving differential equation.

What you’ll learn

• How to use MATLAB to work with numeric and symbolic variables, including vector, matrix and character variables

• How to use MATLAB to handle polynomials and general algebraic expressions, factorizing, expanding and simplifying over a wide range of fields

• How to use MATLAB to work on matrix and vector functions, including all the standard matrix operations and decompositions

• How to solve equations and systems of equations using MATLAB

• How MATLAB can be used to explore mathematical analysis, by finding limits of sequences and functions, sums of series, integrals, derivatives, and solving differential equations

Who this book is for

This book is for anyone who wants to work in a practical, hands-on manner on symbolic algebra or calculus problems with MATLAB. You'll already have a core understanding of undergraduate level calculus, algebra and linear algebra, and have access to an installed version of MATLAB, but no previous experience of MATLAB is assumed.

Table of Contents

Chapter 1: Symbolic Variables and Functions

Chapter 2: Algebraic Expressions

Chapter 3: Polynomial Divisibility

Chapter 4: Symbolic Matrix Algebra

Chapter 5: Equations and Systems

Chapter 6: Series, Continuity, Integrals and Differential Equations

商品描述(中文翻譯)

MATLAB 是一種高階語言和環境,用於數值計算、可視化和程式設計。使用 MATLAB,您可以分析數據、開發演算法,並創建模型和應用程式。這種語言、工具和內建的數學函數使您能夠探索多種方法,並比使用電子表格或傳統程式語言(如 C/C++ 或 Java)更快地達成解決方案。

《MATLAB 符號代數與微積分工具》將通過實用的操作指導和結果介紹您使用 MATLAB 語言,讓您能夠快速實現目標。從符號變數和函數開始,您將學習如何在 MATLAB 中解方程,包括符號解和數值解,以及如何簡化結果。對多項式解、 inequalities 和方程組的廣泛覆蓋將詳細介紹。您將看到 MATLAB 如何結合向量、矩陣和字符變數及其函數。MATLAB 是一個強大的符號運算工具,能夠對所有常見域(包括有限域和有理數的代數域擴展)中的複雜代數表達式進行因式分解、展開和簡化。使用 MATLAB,您還可以輕鬆進行矩陣代數,利用命令來查找特徵值、特徵向量、行列式、範數和各種矩陣分解等多種功能。最後,您將看到如何使用 MATLAB 探索數學分析,尋找序列和函數的極限、級數的和、積分、導數以及解微分方程。

您將學到的內容:
• 如何使用 MATLAB 處理數值和符號變數,包括向量、矩陣和字符變數
• 如何使用 MATLAB 處理多項式和一般代數表達式,進行因式分解、展開和簡化,涵蓋廣泛的域
• 如何使用 MATLAB 處理矩陣和向量函數,包括所有標準的矩陣運算和分解
• 如何使用 MATLAB 解方程和方程組
• 如何使用 MATLAB 探索數學分析,尋找序列和函數的極限、級數的和、積分、導數,以及解微分方程

本書適合對象:
本書適合任何希望以實用、動手的方式解決 MATLAB 中的符號代數或微積分問題的人。您應該已經具備本科水平的微積分、代數和線性代數的核心理解,並擁有安裝好的 MATLAB 版本,但不需要具備之前使用 MATLAB 的經驗。

目錄:
第 1 章:符號變數和函數
第 2 章:代數表達式
第 3 章:多項式可除性
第 4 章:符號矩陣代數
第 5 章:方程和系統
第 6 章:級數、連續性、積分和微分方程