History of the Theory of Numbers, Vol. 3: Quadratic and Higher Forms
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 17.19
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Print on Demand. Delving into the intricate world of number theory, this book unravels the historical progression and profound insights surrounding binary quadratic forms. It meticulously traces the footsteps of pioneering mathematicians, including Lagrange, Euler, and Gauss, as they grappled with the challenges of representing integers using these forms. The narrative beautifully interweaves historical anecdotes with mathematical exposition, illuminating the quest to understand the properties and classifications of these forms. The author masterfully navigates through concepts like reduction, equivalence, and composition, showcasing the elegant tools developed to analyze and manipulate binary quadratic forms. The book's exploration extends beyond theoretical foundations, delving into practical applications such as determining the divisors of numbers and exploring the representability of primes. It delves into the fascinating interplay between forms and their discriminants, revealing the profound connections that govern their behavior. Through its comprehensive treatment, this book provides readers with a profound appreciation for the historical significance and enduring relevance of binary quadratic forms in the realm of number theory, offering a glimpse into the intricate tapestry of numbers and their representations. 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.…
Seller Inventory # 9781334214707_0
- Title
- History of the Theory of Numbers, Vol. 3: Quadratic and Higher Forms
- Author
- Leonard Eugene Dickson
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1334214700
- ISBN 13
- 9781334214707
- Series
- Book 28 of 303: Dover Books on Mathematics
- Seller catalogs
- Algebra
In this edition, readers encounter the development of genus theory, explicit formulas for class numbers, and the interplay between discriminants, primes, and modular relations. The text weaves together foundational theorems of Gauss, Dirichlet, Kronecker, and Lebesgue with later refinements, offering a detailed map of the landscape of binary quadratic forms and their higher‑order companions.
- Clear explanations of invariants, semi-invariants, and covariants in modular settings.
- Guided treatments of class numbers, discriminants, genera, and related arithmetic structures.
- Connections to continued fractions, Dirichlet series, and modular forms within a historic framework.
- Extensive references to foundational results and how they shape contemporary understanding.
Ideal for readers of advanced number theory, algebraic forms, or the history of arithmetic methods, this book serves as a rigorous bridge between classical results and modern perspectives.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
The digital edition of all books may be viewed before purchase if you request a sample.
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