Number Theory pdf epub mobi txt 電子書下載在線閱讀 2026

簡體網頁||繁體網頁

☆☆☆☆☆

出版者:Springer Verlag

作者:Coppel, William Andrew

出品人:

頁數:760

译者:

出版時間:2006-2

價格:$ 111.87

裝幀:Pap

isbn號碼:9780387300191

叢書系列:

圖書標籤:

數論
初等數論
高等數學
數學分析
代數數論
密碼學
數學競賽
算法
離散數學
算術

下載連結在頁面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 複製連結

想要找書就要到小哈圖書下載中心

qciss.net

立刻按 ctrl+D收藏本頁

你會得到大驚喜!!

具體描述

Undergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjects - such as linear algebra or real analysis - with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics. The two-volume "Number Theory: An Introduction to Mathematics" attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A, which should be accessible to a first-year undergraduate, deals with elementary number theory. Part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches, we may obtain a broad picture.

《Number Theory》是一部深入淺齣的經典著作，專注於數論這一古老而重要的數學分支。書中係統地介紹瞭從最基礎到更高深層次的各種概念，內容涵蓋瞭整數的性質、素數分布、加法性質、分解特性以及一些復雜的推理技巧。作者以清晰邏輯的方式展開論述，使讀者能夠逐步理解數學思維的精髓和演繹過程。書中不僅記錄瞭經典定理和曆史背景，還引入瞭許多實際應用場景，例如密碼學、編碼理論以及計算機科學等領域中的重要問題。這些內容通過詳盡的例子和豐富的分析，使學習者在閱讀過程中能夠獲得全麵的知識儲備。書籍結構設計緊湊而有條理，每一章節都圍繞特定主題展開，例如“素數的定義與性質”、“模運算與餘數”以及“遞歸求解問題”。作者在每個段落中融入瞭大量實際案例和真實問題，使抽象的數學概念更易於理解和應用。通過詳細的定義、演示和推導，讀者不僅能掌握理論知識，還能提升解決復雜數學問題的能力。書中還特彆注重對不同層次讀者的適配，既有基礎知識要求，也包含瞭深入探討的高階思維訓練。此外，這本書強調數學的美妙與深邃，探索瞭數論背後的哲學思想和科學意義。每一章節都帶有一定的挑戰性，但同時也給予瞭足夠的解釋和支持，讓讀者在不斷嘗試中逐漸熟悉這一領域的精髓。對於學生、研究生以及對數學感興趣的普通讀者來說，《Number Theory》不僅是一本學習工具，更是一種思維訓練的載體。通過這本書，讀者將能夠更係統地掌握數論的重要概念和技術，為進一步的學術研究或專業應用打下堅實基礎。總體而言，這本書以細緻入微、內容豐富的方式為讀者呈現瞭數論這一領域的重要內容。無論是初學者還是有一定背景的讀者，都能從中獲得啓發和指導。在深入探討數的內在規律的過程中，《Number Theory》將成為一本不可或缺的經典參考書。