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History of the Theory of Numbers, Vol. 3 (Classic Reprint): Quadratic and Higher Forms - Couverture souple
Livre 28 sur 303: Dover Books on Mathematics
Synopsis
Explore the deep structure of binary quadratic forms and their number-theory connections. This authoritative volume surveys invariants, semi-invariants, and modular covariants, tracing how modern arithmetic tools illuminate classical problems in form classification and class numbers.
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.
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History of the Theory of Numbers, Vol. 3: Quadratic and Higher Forms
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. 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. print-on-demand item. N° de réf. du vendeur 9781334214707_0
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History of the Theory of Numbers, Vol 3 Quadratic and Higher Forms Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
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PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781334214707
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History of the Theory of Numbers, Vol 3 Quadratic and Higher Forms Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781334214707
Acheter neuf
EUR 28,80
Expédition à EUR 5,87
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)