Exploring Linear Algebra: Labs and Projects with Mathematica (R)
暫譯: 探索線性代數：使用 Mathematica (R) 的實驗與專案

Arangala, Crista

Exploring Linear Algebra: Labs and Projects with Mathematica (R)
  • 出版商: CRC
  • 出版日期: 2025-02-26
  • 售價: $2,560
  • 貴賓價: 9.5 折 $2,432
  • 語言: 英文
  • 頁數: 152
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 1032942312
  • ISBN-13: 9781032942315
  • 相關分類: 線性代數 Linear-algebra

    • 海外代購書籍(需單獨結帳)

商品描述

This text focuses on the primary topics in a first course in Linear Algebra. The author includes additional advanced topics related to data analysis, singular value decomposition, and connections to differential equations. This is a lab text that would lead a class through Linear Algebra using Mathematica(R) demonstrations and Mathematica(R) coding.

The book includes interesting examples embedded in the projects. Examples include the discussions of "Lights Out", Nim, the Hill Cipher, and a variety of relevant data science projects.

The 2nd Edition contains:

  • Additional Theorems and Problems for students to prove/disprove (these act as theory exercises at the end of most sections of the text)
  • Additional sections that support Data Analytics techniques, such as Kronecker sums and products, and LU decomposition of the Vandermonde matrix
  • Updated and expanded end-of-chapter projects

Instructors and students alike have enjoyed this popular book, as it offers the opportunity to add Mathematica(R) to the Linear Algebra course.

I would definitely use the book (specifically the projects at the end of each section) to motivate undergraduate research.--Nick Luke, North Carolina A&T State University.

商品描述(中文翻譯)

這段文字專注於線性代數初學課程的主要主題。作者還包括與數據分析、奇異值分解及其與微分方程的關聯等相關的進階主題。這是一本實驗教材，將通過使用 Mathematica(R) 的示範和編碼來引導課程學習線性代數。

本書包含嵌入在專案中的有趣範例。範例包括對「Lights Out」、「Nim」、「Hill Cipher」以及各種相關數據科學專案的討論。

第二版包含：
- 額外的定理和問題供學生證明/反駁（這些作為大多數章節末尾的理論練習）
- 支持數據分析技術的額外章節，例如 Kronecker 和積以及 Vandermonde 矩陣的 LU 分解
- 更新和擴展的章末專案

教師和學生都喜愛這本受歡迎的書籍，因為它提供了將 Mathematica(R) 加入線性代數課程的機會。

我一定會使用這本書（特別是每個章節末尾的專案）來激勵本科生研究。--Nick Luke，北卡羅來納農業技術州立大學。

作者簡介

Dr. Crista Arangala is Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Elon University in North Carolina. She has been teaching and researching in a variety of fields, including inverse problems, applied partial differential equations, applied linear algebra, mathematical modeling, and service learning education. She runs a traveling science museum with her Elon University students in Kerala, India. Dr. Arangala was chosen to be a Fulbright Scholar in 2014 as a visiting lecturer at the University of Colombo where she continued her projects in inquiry learning in Linear Algebra and began working with a modeling team focusing on Dengue fever research. Dr. Arangala has published several textbooks that implore inquiry learning techniques, including Exploring Linear Algebra: Labs and Projects with MATLAB(R), Mathematical Modeling: Branching Beyond Calculus, and Linear Algebra with Machine Learning and Data.

作者簡介(中文翻譯)

克里斯塔·阿朗加拉博士是北卡羅來納州伊隆大學數學系及統計系的數學教授及系主任。她在多個領域進行教學和研究，包括反問題、應用偏微分方程、應用線性代數、數學建模以及服務學習教育。她與伊隆大學的學生在印度喀拉拉州運營一個流動科學博物館。阿朗加拉博士於2014年被選為富布賴特學者，擔任科倫坡大學的訪問講師，繼續她在線性代數的探究學習項目，並開始與一個專注於登革熱研究的建模團隊合作。阿朗加拉博士出版了幾本探討探究學習技術的教科書，包括《探索線性代數：使用MATLAB的實驗室和項目》(R)、《數學建模：超越微積分的分支》和《結合機器學習和數據的線性代數》。

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