我的微积分是自学的,看的是 Morris Kline 写的《Calculus - an intuitive and physical approach》。便宜又非常适合教学。我其实从没正经学过物理,但我发现《费曼物理学讲义》(Feynman lectures on Physics)的前几卷非常棒。
I learned Calculus myself through a book called "Calculus - an intuitive and physical approach", by Morris Kline. It is cheap and very didatic. I never really studied physics, but I found the first books from the "Feynman lectures on Physics" to be very good.
Apostol 的微积分教材(共两卷)在理论支撑方面是最好的。我更偏向工程视角,对于想从这个方向找书的读者,推荐 Kline 的《Calculus: An Intuitive and Physical Approach》。普通的生物学入门教材在内容的呈现方式上差异要大得多,但因为必须涵盖海量的事实,实际上的有效差异反而更小……
Apostol's Calculus texts (2 volumes) are the best with the supporting theory. I'm more from an engineering perspective, for readers looking for a book from that direction is Kline's "Calculus: An Intuitive and Physical Approach". Introductory general biology texts have a lot more variation in how the material is presented, but have to cover such an incredible amount of facts that there is actually less effective difference.…
……在死磕严谨视角之前,先尝试对问题建立直观的、往往是图解式的理解。(有一本 1977 年的好教材,Dover 在 1998 年重印了,就是 Morris Kline 的《Calculus: An Intuitive and Physical Approach》,真希望当年我读书时手头能有这本书。)
…trying to come to an intuitive, often graphical, understanding of the problem before attacking the rigorous view. (There is a good textbook from 1977 that was reprinted by Dover in 1998, Morris Kline's "Calculus: An Intuitive and Physical Approach", that I wish I had available when I was studying.)
这取决于你想要什么;我学微积分主要是从土木和机械工程的角度出发的,我觉得 Morris Kline 写的《Calculus: An Intuitive and Physical Approach》(最早于 1968 年出版,Dover 重印版)非常有帮助。
It depends on what you want; I came at calculus mostly from a civil and mechanical engineering point of view, and I found the Dover reprint of Morris Kline's Calculus: An Intuitive and Physical Approach, originally published in 1968, very helpful.
……苏联时期的书,以作者和读者对话的形式写成。简直神作(还可以看看他关于概率论等方面的其他书)——https://mirtitles.org/2018/09/04/calculus-basic-concepts-for... 2) Morris Kline 写的《Calculus: An Intuitive and Physical Approach》。经典之作;Morris Kline 的任何书都值得收藏——https://store.doverpublications.com/products/9780486404530 3) H.C.Verma 等人写的《Calculus: The Princess of Mathematics》。两卷本……
…Soviet-era book written as a dialogue between the author and reader. Absolutely fantastic (also see his other books on Probability etc.) - https://mirtitles.org/2018/09/04/calculus-basic-concepts-for... 2) Calculus: An Intuitive and Physical Approach by Morris Kline. A classic; any book by Morris Kline is a must-have - https://store.doverpublications.com/products/9780486404530 3) Calculus: The Princess of Mathematics by H.C.Verma et al. A two-vol…
《Calculus - an intuitive and physical approach》。我做过里面的部分习题,挺简单的。它们对我的微积分很有帮助。我很喜欢书中关于割线的解释。《How to prove it》——我喜欢它把证明简化为机械化的符号推演……
Calculus - an intuitive and physical approach. I did some of these exercises and they were easy. They helped me in calculus. I liked the explanation of secant lines. How to prove it - I like the reduction of proofs to mechanical symbol pushing.…
我的微积分是自学的,看的是 Morris Kline 写的《Calculus - an intuitive and physical approach》。便宜又非常适合教学。我其实从没正经学过物理,但我发现《费曼物理学讲义》(Feynman lectures on Physics)的前几卷非常棒。
I learned Calculus myself through a book called "Calculus - an intuitive and physical approach", by Morris Kline. It is cheap and very didatic. I never really studied physics, but I found the first books from the "Feynman lectures on Physics" to be very good.
Apostol 的微积分教材(共两卷)在理论支撑方面是最好的。我更偏向工程视角,对于想从这个方向找书的读者,推荐 Kline 的《Calculus: An Intuitive and Physical Approach》。普通的生物学入门教材在内容的呈现方式上差异要大得多,但因为必须涵盖海量的事实,实际上的有效差异反而更小……
Apostol's Calculus texts (2 volumes) are the best with the supporting theory. I'm more from an engineering perspective, for readers looking for a book from that direction is Kline's "Calculus: An Intuitive and Physical Approach". Introductory general biology texts have a lot more variation in how the material is presented, but have to cover such an incredible amount of facts that there is actually less effective difference.…
……在死磕严谨视角之前,先尝试对问题建立直观的、往往是图解式的理解。(有一本 1977 年的好教材,Dover 在 1998 年重印了,就是 Morris Kline 的《Calculus: An Intuitive and Physical Approach》,真希望当年我读书时手头能有这本书。)
…trying to come to an intuitive, often graphical, understanding of the problem before attacking the rigorous view. (There is a good textbook from 1977 that was reprinted by Dover in 1998, Morris Kline's "Calculus: An Intuitive and Physical Approach", that I wish I had available when I was studying.)
这取决于你想要什么;我学微积分主要是从土木和机械工程的角度出发的,我觉得 Morris Kline 写的《Calculus: An Intuitive and Physical Approach》(最早于 1968 年出版,Dover 重印版)非常有帮助。
It depends on what you want; I came at calculus mostly from a civil and mechanical engineering point of view, and I found the Dover reprint of Morris Kline's Calculus: An Intuitive and Physical Approach, originally published in 1968, very helpful.
……苏联时期的书,以作者和读者对话的形式写成。简直神作(还可以看看他关于概率论等方面的其他书)——https://mirtitles.org/2018/09/04/calculus-basic-concepts-for... 2) Morris Kline 写的《Calculus: An Intuitive and Physical Approach》。经典之作;Morris Kline 的任何书都值得收藏——https://store.doverpublications.com/products/9780486404530 3) H.C.Verma 等人写的《Calculus: The Princess of Mathematics》。两卷本……
…Soviet-era book written as a dialogue between the author and reader. Absolutely fantastic (also see his other books on Probability etc.) - https://mirtitles.org/2018/09/04/calculus-basic-concepts-for... 2) Calculus: An Intuitive and Physical Approach by Morris Kline. A classic; any book by Morris Kline is a must-have - https://store.doverpublications.com/products/9780486404530 3) Calculus: The Princess of Mathematics by H.C.Verma et al. A two-vol…
《Calculus - an intuitive and physical approach》。我做过里面的部分习题,挺简单的。它们对我的微积分很有帮助。我很喜欢书中关于割线的解释。《How to prove it》——我喜欢它把证明简化为机械化的符号推演……
Calculus - an intuitive and physical approach. I did some of these exercises and they were easy. They helped me in calculus. I liked the explanation of secant lines. How to prove it - I like the reduction of proofs to mechanical symbol pushing.…