Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics) 2000th Edition by Franz Lemmermeyer (PDF)

Description

This book covers the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will be of interest to readers interested in the history of reciprocity laws or in the current research in this area.

User’s Reviews

Editorial Reviews: From the Back Cover This book is about the development of reciprocity laws, starting from conjectures of Euler and discussing the contributions of Legendre, Gauss, Dirichlet, Jacobi, and Eisenstein. Readers knowledgeable in basic algebraic number theory and Galois theory will find detailed discussions of the reciprocity laws for quadratic, cubic, quartic, sextic and octic residues, rational reciprocity laws, and Eisensteins reciprocity law. An extensive bibliography will particularly appeal to readers interested in the history of reciprocity laws or in the current research in this area.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Holy crap! This is another amazing book that rarely anyone knows about. This book covers one specific topic, just the way I like it. This book is all about history and development of reciprocity laws in terms of algebraic number theory. It covers it all. Quadratic, cubic, quartic, sextic, octic rational and Eistenstein’s reciprocity laws, their proofs, extensions and applications. I understand maybe 10% of what’s in this book as number theory isn’t my specialty but I’d love to give it a 100% and just work through it. I really like books that focus on a single subject and take wild journeys into unknown.Chapter on Gauss’s Last Entry caught my attention. It’s the last entry in Gauss’s diary. The author uses Gauss’s last entry to show connection between biquadratic reciprocity, elliptic curves, zeta functions and Weil conjectures. Super advanced stuff and I only know some of these words.This book stops with Eistenstein’s reciprocity law. The author also says there will be the 2nd volume that will start with Artin’s reciprocity law and cover latest developments that have happened in the last 20 years. I’m waiting eagerly.This book is very similar to another amazing book called Primes of the Form x²+ny² that I recommended in the previous post.I’ve placed this book #31 in my all time 100 most favorite math books. Google for >>catonmat favorite math books<< to find my list and other reviews. My reviews have no affiliate links or garbage. Just awesome books that I truly enjoy.

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Free Download Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics) 2000th Edition in PDF format
Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics) 2000th Edition PDF Free Download
Download Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics) 2000th Edition 2000 PDF Free
Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics) 2000th Edition 2000 PDF Free Download
Download Reciprocity Laws: From Euler to Eisenstein (Springer Monographs in Mathematics) 2000th Edition PDF
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