Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.
To get the free app, enter your email address or mobile phone number.
Ingenuity in Mathematics (Anneli Lax New Mathematical Library)
Use the Amazon App to scan ISBNs and compare prices.
Frequently Bought Together
Customers Who Bought This Item Also Bought
More About the Author
Top Customer Reviews
- If x and y are positive numbers less than 1, chosen at random, the probability that x, y, and 1 form the sides of an obtuse triangle is (pi-2)/4
- For any string of digits S=a_1a_2...a_m, and integer n not a power of 10, there is a power of n that begins with the string S
- On average, the probability that two randomly chosen integers are coprime is 6/pi^2.
At the end of each section are practice problems that make use of the material just presented, and these offer additional insight into the scope of the proofs.
In short, it's a great book, and it's particularly helpful for high school students looking for practice on contest-type problems, and for teachers looking for material for gifted students.
In order to have a better grasp of these qualities, I shall briefly survey the essay 15 on Mascheroni's and Steiner's results on geometric constructions. A first issue discussed by Honsberger is a beautiful question of elementary geometry: What problems can we solve if we use only the compass and we dispose of the ruler? Before answering this question, that was the subject of a book published by Mascheroni in 1797, Honsberger enters an instructive discussion on the equivalence of geometric instruments. For instance, we learn in the book that it can be proved in an elementary way that the collapsible compass (namely the compass which collapses when either arms are lifted from the paper) can effectuate the same constructions as the divider, i.e. the compass which can mark distances.Read more ›