Vectors and Tensors By Example: Including Cartesian Tensors, Quaternions, and Matlab Examples
暫譯: 以範例說明向量與張量：包括笛卡爾張量、四元數及 Matlab 範例
Haskell, Richard E.
- 出版商: Createspace Independent Publishing Platform
- 出版日期: 2015-09-25
- 售價: $1,510
- 貴賓價: 9.5 折 $1,435
- 語言: 英文
- 頁數: 322
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1515153118
- ISBN-13: 9781515153115
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相關分類:
Matlab
海外代購書籍(需單獨結帳)
商品描述
If you have been confused by vectors, vector calculus, tensor analysis, or quaternions, this book is for you. Packed with examples, including Matlab examples, this book will show you: How to use Matlab to calculate dot and cross products, and solve linear equations;How to prove any vector identity using Cartesian tensors;How to derive the expressions for gradient, divergence, Laplacian, and curl in any curvilinear coordinate system;How to understand covariant and contravariant components of a vector;The meaning of Christoffel symbols in covariant differentiation;How to derive the curvature tensor;How quaternions can be used to describe vector rotations in 3-D space.
商品描述(中文翻譯)
如果你對向量、向量微積分、張量分析或四元數感到困惑，那麼這本書就是為你而寫的。本書充滿了範例，包括 Matlab 範例，將向你展示：如何使用 Matlab 計算點積和叉積，並解決線性方程；如何使用笛卡爾張量證明任何向量恆等式；如何推導任何曲線坐標系中的梯度、散度、拉普拉斯算子和旋度的表達式；如何理解向量的共變和反變分量；Christoffel 符號在共變微分中的意義；如何推導曲率張量；以及四元數如何用來描述三維空間中的向量旋轉。
作者簡介
Richard E. Haskell is Emeritus Professor of Engineering in the Department of Electrical and Computer Engineering in Oakland University's School of Engineering and Computer Science. He received his Ph.D. from Rensselaer Polytechnic Institute in 1963. Following three years in the Air Force, where he conducted research at the Air Force Cambridge Research Laboratories at Hanscom Field in Bedford, MA, he joined the faculty at Oakland University in Rochester, MI, where he helped to establish the new School of Engineering (later to become the School of Engineering and Computer Science). He served on the faculty at Oakland University for 46 years, where he developed and taught a wide variety of undergraduate and graduate courses, including courses in electromagnetic theory, coherent optics, pattern recognition, computer programming, microprocessors, embedded systems and digital design. His research interests included plasma physics, holography and coherent optics, pattern recognition and image processing, computer learning, and microprocessor applications and embedded systems. He is the author of over 30 books, ranging from Plasma Dynamics to Digital Design.
作者簡介(中文翻譯)
理查德·E·哈斯克爾（Richard E. Haskell）是奧克蘭大學（Oakland University）工程與計算機科學學院電機與計算機工程系的名譽教授。他於1963年獲得倫斯勒理工學院（Rensselaer Polytechnic Institute）的博士學位。在空軍服役三年期間，他在麻薩諸塞州貝德福德的漢斯科姆空軍基地（Hanscom Field）進行研究，隨後加入位於密歇根州羅徹斯特的奧克蘭大學教職，並協助建立新的工程學院（後來成為工程與計算機科學學院）。他在奧克蘭大學任教46年，開發並教授各種本科和研究生課程，包括電磁理論、相干光學、模式識別、計算機程式設計、微處理器、嵌入式系統和數位設計等課程。他的研究興趣包括等離子體物理學、全息術和相干光學、模式識別和影像處理、計算機學習，以及微處理器應用和嵌入式系統。他是超過30本書籍的作者，涵蓋從等離子體動力學到數位設計的主題。
