# Tag Info

### Mnemonics for some properties in mathematics

Recently, a student in my beginning algebra course offered the following to the class, regarding signed number multiplication: Assuming positivity is like love, and negativity is like hate, then... "...
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### Mnemonics for some properties in mathematics

I tell students to visualize $<$ and $>$ as mouths. They always want to eat the bigger number.
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### Mnemonics for some properties in mathematics

The minimax theorem states the following: Let $X\subset \mathbb{R}^{n}$ and $Y\subset \mathbb {R} ^{m}$ be compact convex sets. If $f:X\times Y\rightarrow \mathbb {R}$ is a continuous ...
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### Mnemonics for some properties in mathematics

Fatou's Lemma states: for nonnegative measurable functions $f_n$, $$\int_E \liminf_{n\to\infty} f_n\;d\mu \le \liminf_{n \to \infty}\int_E f_n\;d\mu$$ The mnemonic is $$\text{ILLLLLI},$$ meaning "...
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### Mnemonics for some properties in mathematics

This only makes sense in Spanish but it's pretty fun. For integration by parts, $$\int u dv = u v - \int v du$$ Si un día vi una vaca menos sexy vestida de uniforme Which translates roughly to: ...

### Is Calculus Made Easy by Silvanus P. Thompson a good book for first-time calculus learners?

After giving the book another look I have to expand on my comment above and make it stronger: no, this isn't a good book for a first-time learner, and in fact I think it's a terrible choice. I looked ...
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### Is Calculus Made Easy by Silvanus P. Thompson a good book for first-time calculus learners?

The fact that the book uses infinitesimals (presented informally) rather than limits is definitely a big deal, and I think you will have to read the book for yourself to see if it works for you. When ...
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### Is Calculus Made Easy by Silvanus P. Thompson a good book for first-time calculus learners?

In a sense it is OK. In the sense that almost any book (except for one that is very difficult, and assigned to a weaker student and/or one without strong motivation to prevail) is OK. It's really ...
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### Mnemonics for some properties in mathematics

Here is my way of memorizing the three main trigonometric functions. An angle $\theta$ is in standard position locating a point $(x,y)$ on a circle with a radius $r$ centered at the origin. There is ...
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### Mnemonics for some properties in mathematics

First heard it from a former classmate of mine, might be her own invention: When the second derivative is positive, the function is happy (i.e., its graph looks like a smile). When the second ...

### Entertaining and fun books about mathematics for (basically) liberal arts students

Permit me a possibly unusual recommendation: Alexander, Amir. Infinitesimal: How a dangerous mathematical theory shaped the modern world. Macmillan, 2014. Most of the action takes place in Europe ...
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### Entertaining and fun books about mathematics for (basically) liberal arts students

Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the 10th Dimension, by Michio Kaku. A little long to be light reading, but I love the chapters at the beginning discussing ...
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### Pi Day is approaching: What are some interesting math questions whose answer is exactly $\pi$?

On Youtube, there's a video about two squares, one of $1$kg. and one of $10^n$kg., who are bouncing between themselves and the Y-axis. apparently the amount of bounces equals the decimals of $\pi$: ...
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### What are some great books for exploring mathematics? (not kids' books and not textbooks)

The World of Mathematics (1950s). Good popular essays to describe various fields of math (e.g. operations research). Martin Gardner column collections (several). The Brian Hayes columns from The ...
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### What are some great books for inspiring children to explore mathematics?

Chaos Flatland Men of Mathematics Anything by Martin Gardner, but especially his columns in IASFM (not sure if ever collected).
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### What are some great books for inspiring children to explore mathematics?

These suggestions are more from experience during vacations back from my childhood. Mathematics can be fun by Yakov Perelman Puzzles to puzzle you by Shakuntala Devi Sherlock Holmes puzzle collection
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