Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
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http://www4.danfleisch.com/sgvt/ - 如何在多个坐标系下表示同一个向量-->当坐标系本身也在变化,如何描述一个不变的向量 - 一个方向上的量如何影响另一个方向上的量,这种问题可能要用张量来描述。 - 总觉得张量那两章还是没有完全理解,不知道是不是自己太烂。换本书看看。
评分http://www4.danfleisch.com/sgvt/ - 如何在多个坐标系下表示同一个向量-->当坐标系本身也在变化,如何描述一个不变的向量 - 一个方向上的量如何影响另一个方向上的量,这种问题可能要用张量来描述。 - 总觉得张量那两章还是没有完全理解,不知道是不是自己太烂。换本书看看。
评分感觉一个加速,突然从简单的世界跃进到了高维度的世界
评分感觉一个加速,突然从简单的世界跃进到了高维度的世界
评分http://www4.danfleisch.com/sgvt/ - 如何在多个坐标系下表示同一个向量-->当坐标系本身也在变化,如何描述一个不变的向量 - 一个方向上的量如何影响另一个方向上的量,这种问题可能要用张量来描述。 - 总觉得张量那两章还是没有完全理解,不知道是不是自己太烂。换本书看看。
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