Items related to Sur les Lois de Réciprocité

Sur les Lois de Réciprocité - Softcover

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9780483210738: Sur les Lois de Réciprocité

Synopsis

This book presents a remarkable journey through the history and intricacies of reciprocity laws in mathematics. Introduced by the author within the context of Jacobi, Eisenstein, and Kummer's foundational work, reciprocity laws—which reveal the relationship between remainders of various orders—are explored with a focus on their application to quadratic, cubic, and biquadratic residues. The author delves into the conceptual origins of these laws, tracing their evolution from early geometric interpretations to their modern mathematical significance. Through the innovative use of geometric concepts and the introduction of polytopes, this book provides a deeper understanding of these laws and their impact on number theory. Its exploration of reciprocity laws not only adds to the existing body of knowledge but also opens up new avenues for further research in this fascinating field.

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