Studies in the Theory of Numbers
暫譯: 數字理論研究

Dickson, Leonard Eugene

  • 出版商: Tradd Street Press
  • 出版日期: 2026-02-14
  • 售價: $1,490
  • 貴賓價: 9.5$1,415
  • 語言: 英文
  • 頁數: 240
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1026015588
  • ISBN-13: 9781026015582
  • 相關分類: 離散數學 Discrete-mathematics
  • 海外代購書籍(需單獨結帳)

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商品描述

"Studies in the Theory of Numbers" is a rigorous and influential mathematical treatise that delves deeply into the arithmetic theory of quadratic forms. Written by Leonard Eugene Dickson, one of the most distinguished mathematicians of the early twentieth century, this work provides a comprehensive analysis that expanded upon the foundational research of the field. Dickson systematically explores the representation of integers by quadratic forms, the theory of composition, and the reduction of forms, offering both original insights and a synthesis of advanced mathematical thought.

The text addresses complex topics such as ternary and quaternary forms, universal forms, and various theorems concerning the distribution and properties of numbers. It serves as an essential resource for scholars of algebra and number theory, reflecting the analytical precision and clarity for which the author was renowned. By addressing intricate problems through elegant proofs and structured investigations, the work remains a cornerstone of mathematical literature. It is an invaluable reference for researchers, advanced students, and anyone interested in the rigorous structures that define the world of numbers.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you may see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.

As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

商品描述(中文翻譯)

《數論研究》是一本嚴謹且具影響力的數學著作,深入探討二次型的算術理論。這本書由20世紀初最傑出的數學家之一,倫納德·尤金·迪克森(Leonard Eugene Dickson)撰寫,提供了對該領域基礎研究的全面分析。迪克森系統性地探討了整數由二次型表示的問題、合成理論以及型的簡化,提供了原創的見解和高級數學思想的綜合。

該文本涉及複雜的主題,如三元型和四元型、普遍型以及有關數字分佈和性質的各種定理。它是代數和數論學者的重要資源,反映了作者以分析精確和清晰著稱的特點。通過優雅的證明和結構化的研究,該作品解決了複雜的問題,並成為數學文獻的基石。對於研究人員、高級學生以及任何對定義數字世界的嚴謹結構感興趣的人來說,這都是一部無價的參考資料。

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