A Course in Linear Algebra
暫譯: 線性代數課程

George, Raju K., Ajayakumar, Abhijith

  • 出版商: Springer
  • 出版日期: 2025-04-02
  • 售價: $2,870
  • 貴賓價: 9.5$2,727
  • 語言: 英文
  • 頁數: 551
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9819986826
  • ISBN-13: 9789819986828
  • 相關分類: 線性代數 Linear-algebra
  • 海外代購書籍(需單獨結帳)

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商品描述

Designed for senior undergraduate and graduate courses in mathematics and engineering, this self-contained textbook discusses key topics in linear algebra with real-life applications. Split into two parts--theory in part I and solved problems in part II--the book makes both theoretical and applied linear algebra easily accessible. Topics such as sets and functions, vector spaces, linear transformations, eigenvalues and eigenvectors, normed spaces, and inner product spaces are discussed in part I; while in part II, over 500 meticulously solved problems show how to use linear algebra in real-life situations. A must-have book for linear algebra courses; it also serves as valuable supplementary material.

商品描述(中文翻譯)

本書專為數學和工程的高年級本科生及研究生課程設計,是一本自成體系的教科書,討論了線性代數中的關鍵主題及其在現實生活中的應用。本書分為兩部分——第一部分為理論,第二部分為已解題目,使得理論與應用的線性代數都變得易於理解。第一部分討論的主題包括集合與函數、向量空間、線性變換、特徵值與特徵向量、範數空間及內積空間;而第二部分則提供了超過500個精心解答的問題,展示如何在現實情況中運用線性代數。這是線性代數課程必備的書籍,同時也作為寶貴的補充材料。

作者簡介

Raju K. George is a professor at the Department of Mathematics and Dean (R&D) at the Indian Institute of Space Science and Technology, Thiruvananthapuram, Kerala, India. He earned his Ph.D. from the IIT Bombay, Maharashtra, India. He is a visiting faculty at the University of Delaware, USA, and he also has visited the University of Manitoba, Canada, and the University Paul Sabatier, France, for research purposes. Earlier, he was a faculty at MS University of Baroda and the University of Chemical Technology, Mumbai, India. His areas of research are the mathematical theory of control, machine learning, and computing and orbital dynamics.

Abhijith Ajayakumar is a research scholar at the Department of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram, Kerala, India. He is currently working in the area of mathematical theory of control, mainly the controllability of networked control systems. He has completed his post-graduation from the University College (under the University of Kerala), Thiruvananthapuram, and under-graduation from Catholicate College (under Mahatma Gandhi University), Pathanamthitta, Kerala. He has a short working term as a guest lecturer at Catholicate College. His extended research interests include linear algebra.


作者簡介(中文翻譯)

Raju K. George 是印度太空科學與技術學院(Indian Institute of Space Science and Technology)數學系的教授及研究與發展院院長,位於印度喀拉拉邦的提魯瓦納科(Thiruvananthapuram)。他在印度孟買的印度理工學院(IIT Bombay)獲得博士學位。他是美國德拉瓦州立大學(University of Delaware)的訪問教員,並曾因研究目的訪問過加拿大曼尼托巴大學(University of Manitoba)和法國保羅薩巴捷大學(University Paul Sabatier)。在此之前,他曾任教於印度巴羅達的MS大學(MS University of Baroda)和孟買的化學技術大學(University of Chemical Technology)。他的研究領域包括控制的數學理論、機器學習、計算及軌道動力學。

Abhijith Ajayakumar 是印度太空科學與技術學院數學系的研究學者,位於印度喀拉拉邦的提魯瓦納科。他目前專注於控制的數學理論,主要研究網絡控制系統的可控性。他在提魯瓦納科的喀拉拉大學(University of Kerala)下的學院大學(University College)完成了研究生學業,並在喀拉拉邦的卡托利卡特學院(Catholicate College,隸屬於甘地大學)完成了本科學業。他曾在卡托利卡特學院擔任客座講師,工作時間不長。他的擴展研究興趣包括線性代數。