Introduction of the Theory of Numbers
暫譯: 數論導論

Dickson, Leonard Eugene

  • 出版商: Tradd Street Press
  • 出版日期: 2026-02-14
  • 售價: $1,460
  • 貴賓價: 9.5$1,387
  • 語言: 英文
  • 頁數: 194
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1025409612
  • ISBN-13: 9781025409610
  • 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

"Introduction to the Theory of Numbers" is a classic mathematical treatise that offers a comprehensive exploration of the fundamental properties of integers. Written by the distinguished mathematician Leonard Eugene Dickson, this work is designed to introduce students and scholars to the elegant complexities of number theory. The text delves into core concepts such as divisibility, the theory of congruences, and quadratic residues, providing clear proofs and insightful explanations.

The book further examines more advanced topics, including Diophantine equations and the representation of integers by quadratic forms. Dickson's methodical approach ensures that readers develop a deep understanding of the distribution of primes and the properties of numerical functions. As a seminal contribution to mathematical literature, this work remains an essential resource for anyone interested in the logical beauty and historical development of arithmetic. Its focus on both the theoretical foundations and the practical application of numerical relationships makes it a timeless guide for the study of one of mathematics' most enduring branches.

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.

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商品描述(中文翻譯)

《數論導論》是一本經典的數學著作,全面探討整數的基本性質。這部作品由著名數學家萊昂納德·尤金·迪克森(Leonard Eugene Dickson)撰寫,旨在向學生和學者介紹數論的優雅複雜性。文本深入探討了核心概念,如可除性、同餘理論和二次剩餘,並提供清晰的證明和深刻的解釋。

本書進一步研究了更高級的主題,包括丟番圖方程(Diophantine equations)和整數的二次型表示。迪克森的方法論確保讀者能夠深入理解質數的分佈和數值函數的性質。作為數學文獻的重要貢獻,這部作品仍然是對於任何對算術的邏輯美和歷史發展感興趣的人來說,必不可少的資源。它對數值關係的理論基礎和實際應用的關注,使其成為研究數學最持久分支之一的永恆指南。

這部作品被學者選為文化重要作品,並且是我們所知文明知識基礎的一部分。這部作品是從原始文獻複製而來,並儘可能忠實於原作。因此,您可能會看到原始的版權參考、圖書館印章(因為這些作品大多存放在我們世界上最重要的圖書館中)和其他註記。

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