A Course in Computational Algebraic Number Theory

Henri Cohen's work serves as a comprehensive guide for those delving into the realm of computational algebraic number theory. With a focus on 148 essential algorithms, the book meticulously outlines the mathematical principles that underpin these techniques, making complex concepts accessible for graduate students and researchers alike. Each algorithm is presented with clarity, supported by thorough explanations and practical applications, ensuring that readers can grasp their significance in number-theoretic computations.

The text not only emphasizes the theoretical foundations but also engages with practical implementations, enabling readers to apply the algorithms to real-world problems. Cohen’s structured approach provides a valuable resource for anyone looking to deepen their understanding of computational methods in number theory, fostering a rich learning environment that encourages exploration and innovation in this mathematical specialty. This book stands as an essential reference for advancing knowledge in computational techniques and their applications in modern mathematics.