很高兴在那个书单里看到（伟大的兰佐斯写的）《力学的变分原理》（The Variational Principles of Mechanics）。它真的很深刻，我觉得它在解释经典力学方面做得棒极了。整本书绝大部分内容我都反复读过好几遍了。既然聊到了……
I'm happy to see The Variational Principles of Mechanics (by the great Lanczos) on that list. It really is deep, and I think it does a fantastic job of explaining classical mechanics. I've read the vast majority of the book multiple times. Since we're on…
……符号小写的 delta。两者殊途同归，只是记号不同。拉格朗日方法里也有 epsilon，只不过被隐藏起来了。关于拉格朗日方法，我推荐兰佐斯的《力学的变分原理》。它是 Dover 出版的，所以如果你在图书馆找不到，上次我看也就 10 刀左右。至于另一种方法，我们当时用的是 John Troutman 的《变分法与最优控制：优化……
…symbol lower case delta. The both amount to the same thing, but the notation is different. There's epsilon in the Lagrange approach, it's just buried. For Lagrange's approach, I recommend Lanczos' "The Variational Principles of Mechanics". It's published by Dover so if you can't find it in a library, it's only about $10 last I checked. For the other approach, we used John Troutman's "Variational Calculus and Optimal Control: Optimization…
……系统，顺带掺了一点混沌/分形），但依然非常优秀。3. Tristan Needham 的《复分析：可视化方法》（Visual Complex Analysis），极其惊艳的复分析入门书。4. Cornelius Lanczos 的《力学的变分原理》——这是一本物理书，但却是该领域的经典之一，正如 Gerald Sussman 曾评价的那样，你每次重读都会获得新的领悟。5. Cornelius Lanczos 的《线性微分算子》……
…systems with a little bit of chaos/fractals thrown in) but very good nonetheless. 3. Tristan Needham, "Visual Complex Analysis", beautiful introduction to complex analysis. 4. Cornelius Lanczos, "The Variational Principles of Mechanics" -- this is a physics book, but one of the classics in the subject, and as Gerald Sussman once remarked, you glean new insights each time you read it. 5. Cornelius Lanczos, "Linear Differential Operators"…
Among technical books, books by Cornelius Lanczos are some of the best (less popular) books I've read. Some quotes from his "The Variational Principles of Mechanics": From the Preface: Many of the scientific treatises of today are formulated in a half-mystical language, as though to impress the reader with the uncomfortable feeling that he is in the permanent presence…
……几个世纪前）。无论如何，我写出来的“教科书”跟市面上其他 99% 的分析力学教材也不会有什么两样。如果你想要个推荐，去翻翻 Cornelius Lanczos 的《力学的变分原理》[1] 吧，那真是一部经典，堪称瑰宝。[1] https://www.amazon.com/Variational-Principles-Mechanics-Dove...
…centuries ago). In any case, my "textbook" would not look very different from the other 99% of textbooks written on analytical mechanics. If you want a recommendation, pick up Cornelius Lanczos's The Variational Principles of Mechanics [1], which is a real classic and a gem of a book. [1] https://www.amazon.com/Variational-Principles-Mechanics-Dove...
很高兴在那个书单里看到（伟大的兰佐斯写的）《力学的变分原理》（The Variational Principles of Mechanics）。它真的很深刻，我觉得它在解释经典力学方面做得棒极了。整本书绝大部分内容我都反复读过好几遍了。既然聊到了……
I'm happy to see The Variational Principles of Mechanics (by the great Lanczos) on that list. It really is deep, and I think it does a fantastic job of explaining classical mechanics. I've read the vast majority of the book multiple times. Since we're on…
……符号小写的 delta。两者殊途同归，只是记号不同。拉格朗日方法里也有 epsilon，只不过被隐藏起来了。关于拉格朗日方法，我推荐兰佐斯的《力学的变分原理》。它是 Dover 出版的，所以如果你在图书馆找不到，上次我看也就 10 刀左右。至于另一种方法，我们当时用的是 John Troutman 的《变分法与最优控制：优化……
…symbol lower case delta. The both amount to the same thing, but the notation is different. There's epsilon in the Lagrange approach, it's just buried. For Lagrange's approach, I recommend Lanczos' "The Variational Principles of Mechanics". It's published by Dover so if you can't find it in a library, it's only about $10 last I checked. For the other approach, we used John Troutman's "Variational Calculus and Optimal Control: Optimization…
……系统，顺带掺了一点混沌/分形），但依然非常优秀。3. Tristan Needham 的《复分析：可视化方法》（Visual Complex Analysis），极其惊艳的复分析入门书。4. Cornelius Lanczos 的《力学的变分原理》——这是一本物理书，但却是该领域的经典之一，正如 Gerald Sussman 曾评价的那样，你每次重读都会获得新的领悟。5. Cornelius Lanczos 的《线性微分算子》……
…systems with a little bit of chaos/fractals thrown in) but very good nonetheless. 3. Tristan Needham, "Visual Complex Analysis", beautiful introduction to complex analysis. 4. Cornelius Lanczos, "The Variational Principles of Mechanics" -- this is a physics book, but one of the classics in the subject, and as Gerald Sussman once remarked, you glean new insights each time you read it. 5. Cornelius Lanczos, "Linear Differential Operators"…
在专业技术类书籍中，Cornelius Lanczos 写的书是我读过最好的（虽然没那么人尽皆知）作品之一。摘录一些他《力学的变分原理》中的话：前言部分写道：“当今许多科学著作都采用了一种半神秘的语言来表述，仿佛是为了给读者留下一种令人不安的印象，让人觉得作者始终置身于……
Among technical books, books by Cornelius Lanczos are some of the best (less popular) books I've read. Some quotes from his "The Variational Principles of Mechanics": From the Preface: Many of the scientific treatises of today are formulated in a half-mystical language, as though to impress the reader with the uncomfortable feeling that he is in the permanent presence…
……几个世纪前）。无论如何，我写出来的“教科书”跟市面上其他 99% 的分析力学教材也不会有什么两样。如果你想要个推荐，去翻翻 Cornelius Lanczos 的《力学的变分原理》[1] 吧，那真是一部经典，堪称瑰宝。[1] https://www.amazon.com/Variational-Principles-Mechanics-Dove...
…centuries ago). In any case, my "textbook" would not look very different from the other 99% of textbooks written on analytical mechanics. If you want a recommendation, pick up Cornelius Lanczos's The Variational Principles of Mechanics [1], which is a real classic and a gem of a book. [1] https://www.amazon.com/Variational-Principles-Mechanics-Dove...
在这个方向上的另一本同类好书是 Cornelius Lanczos 的《力学的变分原理》。
Another one in this vein is The Variational Principles of Mechanics by Cornelius Lanczos.