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商品描述
Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory.
The authors have written the text in an engaging style to reflect number theory's increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum.
Features of the second edition include
- Over 800 exercises, projects, and computer explorations
- Increased coverage of cryptography, including Vigenere, Stream, Transposition, and Block ciphers, along with RSA and discrete log-based systems
- "Check Your Understanding" questions for instant feedback to students
- New Appendices on "What is a proof?" and on Matrices
- Select basic (pre-RSA) cryptography now placed in an earlier chapter so that the topic can be covered right after the basic material on congruences
- Answers and hints for odd-numbered problems
About the Authors:
Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School.
Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland.
商品描述(中文翻譯)
在第一版成功的基礎上，數論與密碼學導論（第二版） 擴大了對密碼學這一受歡迎且重要主題的涵蓋，並將其與傳統的數論主題整合在一起。
作者以引人入勝的風格撰寫文本，以反映數論日益增長的受歡迎程度。這本書旨在供大二、大三和大四的本科生使用，但也適合高年級的高中生，並適合獨立學習。它還包括一些更高級的主題，供希望超越傳統課程的學生探索。
第二版的特點包括：
- 超過800個練習、專案和計算機探索
- 增加了對密碼學的涵蓋，包括維吉尼亞密碼（Vigenere）、串流密碼（Stream）、置換密碼（Transposition）和區塊密碼（Block ciphers），以及RSA和基於離散對數的系統
- 提供“檢查你的理解”問題，讓學生能即時獲得反饋
- 新增附錄，內容包括“什麼是證明？”和矩陣
- 將基本（RSA之前）密碼學的內容移至更早的章節，以便在介紹同餘的基本材料後立即涵蓋該主題
- 奇數題目的答案和提示
關於作者：
Jim Kraft於1987年在馬里蘭大學獲得博士學位，並在代數數論方面發表了幾篇研究論文。他曾在羅徹斯特大學、加州聖瑪麗學院和伊薩卡學院任教，並在通信安全領域工作過。Kraft博士目前在吉爾曼學校教授數學。
Larry Washington於1974年在普林斯頓大學獲得博士學位，並在數論領域廣泛發表，包括有關密碼學（與Wade Trappe合著）、循環域和橢圓曲線的書籍。Washington博士目前是馬里蘭大學的數學教授及傑出學者教師。
作者簡介
Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School.
Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland.
作者簡介(中文翻譯)
吉姆·克拉夫特（Jim Kraft）於1987年在馬里蘭大學獲得博士學位，並在代數數論方面發表了幾篇研究論文。他曾在羅徹斯特大學、加州聖瑪麗學院和伊薩卡學院擔任教職，並且也曾從事通訊安全工作。克拉夫特博士目前在吉爾曼學校教授數學。
拉里·華盛頓（Larry Washington）於1974年在普林斯頓大學獲得博士學位，並在數論領域廣泛發表著作，包括與韋德·特拉普（Wade Trappe）合著的密碼學書籍、循環域和橢圓曲線。華盛頓博士目前是馬里蘭大學的數學教授及傑出學者教師。
