- #1
moriheru
- 273
- 17
Can anyone recommend a good Introduction to Numbertheory with excercises and of course proofs
Thanks for any recomendations.
Thanks for any recomendations.
Number theory is a branch of mathematics that focuses on the properties and relationships of numbers, particularly integers. It is one of the oldest and most fundamental areas of mathematics and has applications in many other fields such as cryptography, computer science, and physics.
The basic concepts in number theory include prime numbers, divisibility, modular arithmetic, and congruences. These concepts are used to study the properties of numbers and their relationships with each other.
Number theory is important because it helps us understand the fundamental properties of numbers and their behavior. It has practical applications in cryptography, coding theory, and computer science, and has also been used in solving real-world problems such as the distribution of prime numbers.
Some famous problems in number theory include the Goldbach Conjecture, the Riemann Hypothesis, and Fermat's Last Theorem. These problems have fascinated mathematicians for centuries and have led to significant advancements in the field of number theory.
Number theory plays a crucial role in cryptography, which is the study of secure communication. It is used to develop algorithms and protocols for secure encryption and decryption of data. For example, the RSA algorithm, which is widely used in secure communication, is based on number theory concepts such as prime factorization and modular arithmetic.