Challenges in number theory

Autori

• Uwe Kraeft

Parametri

• 66 pagine
• 3 ore di lettura

• Matematica

Maggiori informazioni sul libro

In addition to the primary disciplines in number theory, numerous riddles, problems, and conjectures present both challenges and intrigue. These tasks engage not only professional mathematicians but also enthusiasts, leading to significant discoveries beyond mere entertainment. This text comprises ten chapters filled with examples of games, "magic" squares, riddles, secrets, and paradoxes. It explores the Ulam spiral, the Collatz conjecture, Catalan's conjecture/Mihăilescu's theorem, and Fermat's Last Theorem, alongside other renowned problems. The discussion also covers various conjectures related to primes, infinity, and geometry, including Zeno's Paradox and the challenge of squaring the circle, as well as the concept of vector spaces. Through these topics, the text illustrates the depth and complexity of number theory while inviting readers to engage with its many puzzles and enigmas.

Lingua: Inglese

Pubblicato: 2010

(In brossura)