Fundamentals Of Number Theory By William J Leveque

Publisher: MATHEMATICS

Availability: In Stock
SKU: 41680
Number of Pages: 292

Rs.460.00

Rs.650.00

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Description
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Description

"Fundamentals Of Number Theory" by William J. Leveque provides a foundational exploration of key concepts in number theory, offering readers a comprehensive introduction to the fundamental principles that underpin this branch of mathematics.

Key Points:

Basic Number Concepts: William J. Leveque introduces readers to foundational number concepts such as primes, divisibility, and unique factorization.
Diophantine Equations: The book covers Diophantine equations, exploring methods for finding integer solutions and their applications.
Congruences: Detailed explanations are provided on congruences, modular arithmetic, and their significance in number theory.
Prime Numbers: Leveque discusses prime numbers extensively, including their distribution, theorems, and their role in cryptography.
Quadratic Residues: The concept of quadratic residues is explored, along with their properties and applications in number theory.
Arithmetic Functions: The book delves into arithmetic functions such as Euler's totient function and their relevance in number theory.
Special Numbers: Special numbers like Mersenne primes, Fermat numbers, and perfect numbers are elucidated with historical context.
Analytic Number Theory: An introduction to analytic number theory, covering topics such as the Riemann zeta function and prime number theorem.
Applications in Cryptography: Leveque discusses how number theory concepts are applied in modern cryptography algorithms like RSA.
Historical Perspective: The book concludes with a reflection on the historical development and impact of number theory on mathematics and beyond.

Conclusion:

In conclusion, "Fundamentals Of Number Theory" by William J. Leveque serves as an essential resource for both students and enthusiasts looking to grasp the foundational principles and applications of number theory, offering a comprehensive journey through its key concepts and historical significance.

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