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Everyday Calculus
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Everyday Calculus: Discovering the Hidden Math All Around Us
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Bill's
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Oct 22, 2017 12:10PM

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Started a little early.
I'd recently read a couple of books that went into the development of calculus, and the competition between Newton and Leibniz. They were narrative based, light on formulas. This made me want to get back into the meat of things I used to know, but lost from lack of use.
I'm a couple of chapters in, but I'm not sure if this is the right book. The author seems to be in a hurry, introducing a lot of things we encounter in everyday life that can be quantified by calculus, but just presenting formulas fully formed without any explanation. For example, in the first chapter he talks about sleep cycles. Just when it was getting interesting, he moves on to his next example, the path of water particles from a shower head. I'd like it a lot more if he spent some time developing the "why" of the examples he uses.
Suspending judgement for now and reading on!
I highly recommend the books I mentioned earlier. Newton's Gift: How Sir Isaac Newton Unlocked the System of the World
The Clockwork Universe: Isaac Newton, the Royal Society, and the Birth of the Modern World
I'd recently read a couple of books that went into the development of calculus, and the competition between Newton and Leibniz. They were narrative based, light on formulas. This made me want to get back into the meat of things I used to know, but lost from lack of use.
I'm a couple of chapters in, but I'm not sure if this is the right book. The author seems to be in a hurry, introducing a lot of things we encounter in everyday life that can be quantified by calculus, but just presenting formulas fully formed without any explanation. For example, in the first chapter he talks about sleep cycles. Just when it was getting interesting, he moves on to his next example, the path of water particles from a shower head. I'd like it a lot more if he spent some time developing the "why" of the examples he uses.
Suspending judgement for now and reading on!
I highly recommend the books I mentioned earlier. Newton's Gift: How Sir Isaac Newton Unlocked the System of the World
The Clockwork Universe: Isaac Newton, the Royal Society, and the Birth of the Modern World
Lost me a few times along the way, but I enjoyed it overall. The framework is a little clunky and artificial, "My wife and I went to the movies, which made me think of ... then we took the subway, which made me think of ...," but I think that's a nitpick on my part. The ideas were mostly interesting. The details I was missing at first are in the appendices. I generally skip appendices in a book, but these were worth the trouble.
I gave it 4 stars.
I gave it 4 stars.

I did not look at the math part in detail. I would prefer to do that with a proper calculus book and not being in the field and with my college calculus looooong way back - it was not feasible ! :)
However I do wish calculus was taught this way. With at least some glimpse of where it is used and can be used.
Perhaps it is only my personal experience but my calculus class was terrible. Just a set of problems and how to solve it. I did not know why this esoteric branch of mathematics was needed and why I had to learn it for a long long time ...... until I researched a bit and asked around. Till then I just resented the class !!!
It is a wonder I still retain interest in the subject itself !!! :)

In the early 80s, I took some math classes at the University where I worked as a technician. I found that getting extra textbooks that were written for engineers helped, because they had more real world examples that the math department books didn't have.

These were my first year undergrad classes and I was suddenly faced with Statistics, Calculus and Advanced Trigonometry.
Unfortunately I did not handle the first 2 months with any kind of grace !!! It took time to get my footing.
Any of those textbooks you read at that time good for general reading on calculus or they are essentially textbooks for learning calculus ?

The idea of putting a candle under the corner of a steel plate and calculating what the temperature would be over time at any point on the plate helped me get a better understanding of what partial differential equations were about.

Another interesting book is Foundations of Analog and Digital Electronic Circuits.
I would really like to learn the contents of Advanced Engineering Mathematics, but I probably will never get around to it.
Books mentioned in this topic
Engineering Mechanics - Statics And Dynamics (other topics)Foundations of Analog and Digital Electronic Circuits (other topics)
Advanced Engineering Mathematics (other topics)
Elementary Applied Partial Differential Equations With Fourier Series and Boundary Value Problems (other topics)
Newton's Gift: How Sir Isaac Newton Unlocked the System of the World (other topics)
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