Linear Algebra to Differential Equations
暫譯: 線性代數到微分方程
Devi, J. Vasundhara, Deo, Sadashiv G., Khandeparkar, Ramakrishna
- 出版商: CRC
- 出版日期: 2021-09-27
- 售價: $5,550
- 貴賓價: 9.5 折 $5,273
- 語言: 英文
- 頁數: 398
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0815361467
- ISBN-13: 9780815361466
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相關分類:
線性代數 Linear-algebra
海外代購書籍(需單獨結帳)
相關主題
商品描述
Linear Algebra to Differential Equations concentrates on the essential topics necessary for all engineering students in general and computer science branch students, in particular. Specifically, the topics dealt will help the reader in applying linear algebra as a tool.
The advent of high-speed computers has paved the way for studying large systems of linear equations as well as large systems of linear differential equations. Along with the standard numerical methods, methods that curb the progress of error are given for solving linear systems of equations.
The topics of linear algebra and differential equations are linked by Kronecker products and calculus of matrices. These topics are useful in dealing with linear systems of differential equations and matrix differential equations. Differential equations are treated in terms of vector and matrix differential systems, as they naturally arise while formulating practical problems. The essential concepts dealing with the solutions and their stability are briefly presented to motivate the reader towards further investigation.
This book caters to the needs of Engineering students in general and in particular, to students of Computer Science & Engineering, Artificial Intelligence, Machine Learning and Robotics. Further, the book provides a quick and complete overview of linear algebra and introduces linear differential systems, serving the basic requirements of scientists and researchers in applied fields.
Features
- Provides complete basic knowledge of the subject
- Exposes the necessary topics lucidly
- Introduces the abstraction and at the same time is down to earth
- Highlights numerical methods and approaches that are more useful
- Essential techniques like SVD and PCA are given
- Applications (both classical and novel) bring out similarities in various disciplines:
- Illustrative examples for every concept: A brief overview of techniques that hopefully serves the present and future needs of students and scientists.
商品描述(中文翻譯)
《線性代數與微分方程》專注於所有工程學生所需的基本主題，特別是計算機科學領域的學生。具體而言，所討論的主題將幫助讀者將線性代數作為工具來應用。
高速計算機的出現為研究大型線性方程組以及大型線性微分方程組鋪平了道路。除了標準的數值方法外，還提供了減少誤差進展的方法來解決線性方程組。
線性代數和微分方程的主題通過克羅內克積（Kronecker products）和矩陣微積分相連。這些主題在處理線性微分方程組和矩陣微分方程時非常有用。微分方程以向量和矩陣微分系統的形式處理，因為它們在制定實際問題時自然出現。與解及其穩定性相關的基本概念被簡要介紹，以激勵讀者進一步探索。
本書滿足一般工程學生的需求，特別是計算機科學與工程、人工智慧、機器學習和機器人學的學生。此外，本書提供了線性代數的快速且完整的概述，並介紹了線性微分系統，滿足應用領域科學家和研究人員的基本需求。
特色
- 提供該主題的完整基本知識
- 清晰地揭示必要的主題
- 引入抽象概念，同時又接地氣
- 強調更有用的數值方法和方法
- 提供像 SVD 和 PCA 這樣的基本技術
- 應用（包括經典和新穎的）突顯各學科之間的相似性：
- 每個概念的示例：對技術的簡要概述，希望能滿足學生和科學家當前及未來的需求。
作者簡介
Dr. I. Vasundhara Devi is a Professor in Department of Mathematics, Gayatri Vidya Parishad College of Engineering, Visakhapatnam, India and is also Associate Director of Gayatri Vidya Parishad-Professor V. Lakshmikantham Institute for Advanced Studies, Visakhapatnam, India. She is a co-author for a couple of research monographs, edited a couple of journal volumes and published around a hundred peer reviewed research articles.
Dr. Sadashiv G. Deo (S.G.Deo) has an illustrious career both as a Professor and as an author. He retired as Director of Gayatri Vidya Parishad-Professor V. Lakshmikantham Institute for Advanced Studies, Visakhapatnam, India. He has over 35 years of teaching experience and has taught at Mumbai, Marathwada and Goa Universities in India; Texas University at Arlington (TX), Florida Institute of technology, Melbourne (Fl), USA and gave lectures in many well-known Institutions in USA, Canada and India. He co-authored many textbooks, research monographs and lecture notes, of which his text book on Differential equations, is being used as a text book in various countries. He published popular articles in Mathematics in English as well as in Marathi. He published several research papers in peer reviewed journals.
Dr Ramakrishna Khandeparkar worked as Professor of Mathematics at Don Bosco College of Engineering, Fatorda, Goa. He taught for more than 35 years and published many research and expository articles in both national and international peer reviewed journals.
作者簡介(中文翻譯)
伊. 瓦蘇達拉·德維博士是印度維沙卡帕特南的蓋雅特里·維迪亞·帕里沙德工程學院數學系教授，同時也是蓋雅特里·維迪亞·帕里沙德-瓦. 拉克什米坎坦高級研究所的副所長。她是幾本研究專著的共同作者，編輯過幾期期刊卷，並發表了約一百篇經過同行評審的研究文章。
薩達希夫·G·德奧博士（S.G.Deo）在教授和作者的職業生涯中都非常卓越。他曾擔任印度維沙卡帕特南的蓋雅特里·維迪亞·帕里沙德-瓦. 拉克什米坎坦高級研究所所長，並已退休。他擁有超過35年的教學經驗，曾在印度的孟買、馬拉地瓦和果阿大學任教；在美國德克薩斯州阿靈頓的德克薩斯大學、佛羅里達理工學院（梅爾本）任教，並在美國、加拿大和印度的許多知名機構講授課程。他共同編寫了多本教科書、研究專著和講義，其中他的《微分方程》教科書在多個國家被用作教材。他還用英語和馬拉地語發表了數篇數學的流行文章，並在同行評審的期刊上發表了多篇研究論文。
拉馬克里希納·坎德帕卡博士曾在果阿的唐·博斯科工程學院擔任數學教授。他教學超過35年，並在國內外的同行評審期刊上發表了許多研究和解釋性文章。
