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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Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. 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 lawsâ"which reveal the relationship between remainders of various ordersâ"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. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780483210738_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780483210738
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780483210738
Quantity: 15 available