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My Best Mathematical and Logic Puzzles | Math2Ever

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Saturday 28 June 2014

My Best Mathematical and Logic Puzzles | Math2Ever

My Best Mathematical and Logic Puzzles

Posted: 26 Jun 2014 11:32 PM PDT

Marvelous book. 
I found it better than many books but my friends, who were not that conversant with intermediate mathematics did not like it much. Though this book doesn't require a knowledge of calculus, people who have this level might appreciate the book more. But it has more to do with mathematical 'thinking' rather than mathematics itself.
So get this one if you are good at mathematical thinking and want to challenge yourself. If you are weak in math and would rather read puzzles that require only logic, cleverness, and lateral thinking only, this may not be the one for you.

The Moscow Puzzles: 359 Mathematical Recreations (Dover Recreational Math)

Posted: 26 Jun 2014 11:15 PM PDT

"The Moscow Puzzles" is unique among problem-solving and brainteaser books because of the wide range of types of problems that it addresses. As a lecturer at Cal Tech's Executive Training Center, I teach "Creating Breakthrough Products" to technical executives. This book has been very helpful for those participating, because the problems it contains represent various types of psychological barriers that prevent problem-solvers and designers from achieving high-level solutions. I refer to examples from this book during the Cal Tech training session; we employ the revolutionary Russian problem-solving tool whose acronym is "TRIZ." Other fine attributes of this book are its sense of humor and its practicality. The author has chosen everyday events and situations for his problem "plots," and in doing so, maintains the interest level of the average reader. Readers of this book will learn to overcome personal barriers to creativity (the chief personal barrier is called "psychological inertia"), and will increase their creativity quotients by an order of magnitude, or more. I strongly recommend this book for use in all classes from grades 4 through college senior. For the rest of us who simply like ("love") to work on challenging problems, this is the book for you. Good luck!

By 

The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics (Sterling Milestones)

Posted: 26 Jun 2014 11:01 PM PDT

In his previous science book, "Archimedes to Hawking", Cliff Pickover explored the great laws of science and the lives of the physicists and chemists who discovered the laws. 
In the "Math Book", Pickover takes on the great moments or milestones of mathematics. While the great laws of physics were almost all named by the early twentieth century, scientific milestones continue to be established. Thus, the mathematical milestones of the "Math Book" are documented into the twenty-first century. The publishers have provided Pickover with a challenging format. Each milestone is described on just one page, and each is accompanied by a full page image on the facing page.


These limitations restrict the scope of the presentation for each subject. However, having as many as 250 milestones has allowed Pickover to expand some subject areas into more than one related milestone. The images are absolutely beautiful. They include paintings, diagrams, photos, and computer-generated art. Among the best are a close-up photo of the game of Go, a map of the Internet as the illustration for the Konigsberg Bridges, the Gray Code using a diagram taken from a US patent, and the Archimedes Spiral as exemplified by a fiddlehead fern. Many of the milestones cover esoteric theoretical areas of mathematical analysis. This was not my best subject in school.

However, because of the latitude provided by having 250 topics to cover, Pickover is able to include more technology-related topics. He has authored many math books, for example, "Wonders of Numbers", "A Passion for Mathematics", "The Mobius Strip", and this year, an updated paperback edition of "The Loom of God." However, he is also a down-to-earth scientist.

The topics in this book include such concrete subjects as the bed sheet folding problem, public key cryptography, Rubik's Cube, and my favorite, cicada-generated prime numbers. Not all milestones were charted by humans! Is every possible milestone included? Even with 250 topics, and yes there are exactly 250, Pickover invites the submission of additional milestones. Before reading the book, I had some expectations of what topics should be covered in the milestones.

Upon reading, I found that almost all of my ideas were included. However, I do have a suggestion for an additional milestone, Legendre Polynomials. These polynomials, well-known to physicists, are used to express the form of atomic wave functions. Thus, they underlie the very fabric of matter. If you can include Bessel Functions, why not have Legendre Polynomials? There must be other milestones to suggest. Perhaps the "Math Book" can become an example of Hilbert's Grand Hotel. Even when the hotel is full, there is always room for another guest.

Mastering Essential Math Skills: 20 Minutes a Day to Success, Book 2: Middle Grades/High School

Posted: 26 Jun 2014 10:19 PM PDT

Our girls no longer complained!
This review is from: Mastering Essential Math Skills: 20 Minutes a Day to Success, Book 2: Middle Grades/High School.

Last year in our homeschool, we switched to "Mastering Essential Math Skills: Middle Grade/High School, and it was the best switch we could have made. Both girls were to the point of dreading math, and after changing to this program, they now looked forward to math class and could make sense of it because of the step-by-step instructions. Great for 7th-8th grades. Our 2nd daughter actually moved from 5th grade to 7th grade because this program was available.

By K. Webster

How Not to Be Wrong: The Power of Mathematical Thinking

Posted: 26 Jun 2014 09:56 PM PDT

"Mathematics is the extension of common sense by other means."
This review is from: How Not to Be Wrong: The Power of Mathematical Thinking (Hardcover)

I run across a lot of books that I add to my to-be-read list and then forget about until after their publication dates or I stumble upon the book in the library or bookstore. How Not to Be Wrong was initially one of those books, but it sounded so good that I found myself obsessively thinking about it and started a search for a pre-publication copy. Since I'm not a librarian, didn't win a copy via First Reads, and don't have friends at Penguin Press, it took some time and effort, but having procured a copy and read it, I can say that it was well worth my time and $6.00.

How Not to Be Wrong is a catchy title, but for me, this book is really about the subtitle, The Power of Mathematical Thinking. Ellenberg deftly explains why mathematics is important, gives the reader myriad examples applicable to our own lives, and also tells us what math can't do.

He writes, "Mathematics is the extension of common sense by other means", and proceeds to expound upon an incredible number of interesting subjects and how mathematics can help us better understand these topics, such as obesity, economics, reproducibility, the lottery, error-correcting codes, and the existence (or not) of God. He writes in a compelling, explanatory way that I think anyone with an interest in mathematics and/or simply understanding things more completely will be able to grasp.

Ellenberg writes "Do the Math" for Slate, and it's evident in his column and this book that he knows how to explain mathematical ideas to non-mathematicians, and even more so, seems to enjoy doing so with great enthusiasm. I won't pretend that I understood everything discussed in this book, but it's such an excellent book that I also bought the hardcover (so I have an index which my pre-pub copy does not), and reread the book so I do have a much more thorough understanding. I've wished for a book like this for a long time, and I'd like to thank Jordan Ellenberg for writing it for me!

May 29, 2014 By BHB Verified Purchase

Pratical Exercise : Chapter 1 Basic Algebra BA101

Posted: 26 Jun 2014 08:26 PM PDT
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