No comments about Eureka (Mathematics enrichment).

No comments about Mathematical excursions;: Side trips along paths not generally traveled in elementary courses in mathematics (Dover).

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2 comments about Arithme-tickle: An even number of odd riddle-rhymes.

1. A fun way to approach math. Great rhymes, funny pictures. My kids love J. Patrick Lewis. He really knows how to make learning fun.



2. Math is fun, loads of fun, in this delightful collection of eighteen rhyming riddles. J Patrick Lewis challenges kids to sharpen their pencils and use their brains to solve these clever word puzzles. With a little addition here, some subtraction there, or maybe multiplication, and division you'll find the answer in no time. Frank Remkiewicz's bold, bright, and charming illustrations add to the fun. With an answer key provided at the bottom of each page, explaining how each brain-teaser was solved, Arithme-Tickle is a zany romp that's perfect for young math whizzes 8 and older. So join in all the fun, and let the games begin!

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1 comments about Mathematics in fun and in earnest.

1. In this book, Court examines a great deal of the philosophical underpinnings of mathematics. While on this journey, he is both profound and humorous, occasionally at the same time. My favorite is the section with the title, "Running around in circles", where he gives mathematical explanations as to why humans lost in the desert or snows and chickens with their heads cut off almost always travel in circles.
   He also takes a long, hard and occasional light-hearted look at reasoning, which is the fundamental bedrock of mathematics. Intuition is part of the beginning of any system of mathematics, in the sense that it is often the justification of the postulates. For example, Euclid's first four postulates:
   
   1. A straight line segment can be drawn joining any two points.
   2. Any straight line segment can be extended indefinitely in a straight line.
   3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
   4. All right angles are congruent.
   
   Are all based on intuitive notions that appear obvious. Although mathematicians try to limit the amount of justification by intuition that appears in their structures, one cannot avoid relying on it at some point. Court uses several pages to explain the development of Non-Euclidean geometry and how it is fundamentally counterintuitive. The book closes with a series of basic problems in applied mathematics, including the classic Wolf-Goat-Cabbage and the problem where each of three people take what they believe to be their share although each does it sequentially and without any knowledge of the actions of the others.
   There are no great mathematical results in this book; that is in no way the author's intent. His goal was to put forward an explanation of the principles of mathematics that could be understood by anyone with a desire to know mathematics. In that way, the book is a significant success.
   
   Published in Journal of Recreational Mathematics, reprinted with permission

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No comments about Espacio espacial (In-genio series).