Download E-books Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations PDF

By Raphael Rosen

The new "sine" of mathematical geekdom!

Do you dream approximately lengthy department on your sleep? Does the idea of fixing abstruse equations convey a grin in your face? Do you're keen on celebrating pi each March? Then, Math Geek was once made for you! With this consultant, you are going to study much more concerning the energy of numbers as you discover their impressive nature in methods you will have by no means imagined. From manhole covers to bubbles to subway maps, every one web page can provide a glimpse of the realm via popular mathematicians' eyes and divulges how their theorems and equations might be utilized to just about every thing you come across. masking dozens of your favourite math subject matters, you will find interesting solutions to questions like:

  • How are the ready instances for buses determined?
  • Why is Romanesco Broccoli so mesmerizing?
  • How do you divide a cake evenly?
  • Should you run or stroll to prevent rain showers?

choked with compelling mathematical factors, Math Geek sheds mild at the significant international of numbers hidden deep inside your daily life.

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Read or Download Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations PDF

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Extra resources for Math Geek: From Klein Bottles to Chaos Theory, a Guide to the Nerdiest Math Facts, Theorems, and Equations

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What's the minimal variety of M&M’s you would need to take out of your bag to ensure you have not less than of an analogous colour? (The solution is 3. you could decide on of a similar colour firstly, yet you may also decide upon one that’s pink and one that’s brown. if so, irrespective of which M&M you decide next—the third—you could have a couple. during this state of affairs, you could give some thought to the 2 pigeonholes being containers: one for pink M&M’s and one for brown. we wish to locate the fewest variety of M&M’s we needs to take from the bag to make sure that of them prove within the comparable field. ) you may additionally use the main to figure out that humans in ny urban should have the very same variety of hairs on their heads. each one person’s head has round 100,000 hairs, and there are round eight million humans residing in big apple. when you consider that there are 100,000 probabilities for the variety of hairs on any specific person’s head, there are 100,000 pigeonholes, with the intention to communicate. And the eight million ny urban citizens correspond to eight million pigeons. So we've 100,000 pigeonholes and eight million pigeons: consequently we will be able to ensure not less than pigeons—or people—occupy a similar field, that means that the variety of hairs on their heads is definitely one of the similar. PIGEONHOLING IN CONGRESS Pigeonholes additionally look in contexts that experience not anything to do with both pigeons or arithmetic. In Congress, to pigeonhole a invoice is to put it apart, as though in a cubby, and forget about it for the instant. sixty six Mazes MATHEMATICAL thoughts: GRAPH conception, TOPOLOGY MAZES HAVE lengthy BEEN part of pop culture, from the parable of Theseus and the Minotaur; to meditational church mazes developed throughout the center a while; to maize mazes, which pop up in rural groups in the course of autumn; to videos like Labyrinth and The Maze Runner. yet whereas they're exciting and gorgeous of their personal correct, in addition they are a part of the relations of mathematical gadgets. The research of mazes belongs to graph idea and topology, fields that study gadgets in a schematical approach (much just like the research we observed in access #9 on subway systems). when you reflect on a maze in an summary approach, ignoring the twists and turns you could have to take, or the peak of the partitions, or the feel of the floor underneath your toes, you could examine it as a course that, at sure issues, forks into new instructions. we will name each one of those issues a node. A course connecting nodes subsequent to one another is termed an facet. If we have been a maze from above, lets take notes after which make a drawing, one of those diagram that consisted basically of nodes and edges. After labeling the nodes, shall we see extra simply the trail we'd need to take to get to the maze’s finish. this sort of research was once first carried out through Leonhard Euler, a Swiss mathematician who lived within the 1700s. He tackled and solved an issue often called the Seven Bridges of Königsberg, and, in doing so, based the sphere of graph concept. the matter used to be in response to the real-life urban of Königsberg, in Prussia. The Pregel River ran in the course of the urban, and in the midst of the river used to be an island.

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