Elements of Number Theory (Paperback)
暫譯: 數論元素 (平裝本)

I. M. Vinogradov

  • 出版商: Dover Publications
  • 出版日期: 2016-01-14
  • 售價: $530
  • 貴賓價: 9.8$519
  • 語言: 英文
  • 頁數: 240
  • 裝訂: Paperback
  • ISBN: 0486781658
  • ISBN-13: 9780486781655
  • 下單後立即進貨 (約5~7天)

商品描述

<內容簡介>

"A very welcome addition to books on number theory."—Bulletin of the American Mathematical Society.
Clear and detailed in its exposition, this text can be understood by readers with no background in advanced mathematics, and only a small part requires a working knowledge of calculus. Topics include divisibility theory, important number-theoretic functions, basic properties of congruences as well as congruences in one unknown and of the second degree, and primitive roots and indices.
One of the most valuable characteristics of this book is its emphasis on learning number theory by means of demonstrations and problems. More than 200 problems and full solutions appear in the text, plus 100 numerical exercises. Some of these exercises deal with estimation of trigonometric sums and are especially valuable as introductions to more advanced studies.

商品描述(中文翻譯)

內容簡介
「這是一本對於數論書籍非常受歡迎的補充。」—美國數學學會公告。
本書的闡述清晰且詳細,讀者即使沒有高等數學背景也能理解,只有少部分內容需要具備微積分的基本知識。主題包括可除性理論、重要的數論函數、同餘的基本性質,以及一元和二次同餘,還有原根和指數。
本書最有價值的特點之一是強調通過示範和問題來學習數論。書中包含超過200個問題及其完整解答,還有100個數值練習。其中一些練習涉及三角函數和的估算,特別適合作為進一步高級研究的入門。