Introduction to Cryptography with Mathematical Foundations and Computer Implementations (Hardcover)

From the exciting history of its development in ancient times to the present day, Introduction to Cryptography with Mathematical Foundations and Computer Implementations provides a focused tour of the central concepts of cryptography. Rather than present an encyclopedic treatment of topics in cryptography, it delineates cryptographic concepts in chronological order, developing the mathematics as needed.

Written in an engaging yet rigorous style, each chapter introduces important concepts with clear definitions and theorems. Numerous examples explain key points while figures and tables help illustrate more difficult or subtle concepts. Each chapter is punctuated with "Exercises for the Reader;" complete solutions for these are included in an appendix. Carefully crafted exercise sets are also provided at the end of each chapter, and detailed solutions to most odd-numbered exercises can be found in a designated appendix. The computer implementation section at the end of every chapter guides students through the process of writing their own programs. A supporting website provides an extensive set of sample programs as well as downloadable platform-independent applet pages for some core programs and algorithms.

As the reliance on cryptography by business, government, and industry continues and new technologies for transferring data become available, cryptography plays a permanent, important role in day-to-day operations. This self-contained sophomore-level text traces the evolution of the field, from its origins through present-day cryptosystems, including public key cryptography and elliptic curve cryptography.

從古代發展的激動人心的歷史到現代，《具備數學基礎和電腦實現的密碼學入門》提供了對密碼學核心概念的專注介紹。本書不是對密碼學主題的百科全書式處理，而是按照時間順序勾勒出密碼學概念，並根據需要發展數學知識。

本書以引人入勝但嚴謹的風格撰寫，每章都以清晰的定義和定理介紹重要概念。眾多例子解釋了關鍵點，圖表則有助於說明更難理解或微妙的概念。每章末尾都有「讀者練習」，這些練習的完整解答收錄在附錄中。每章末尾還提供了精心設計的練習題，並且大部分奇數編號的練習題的詳細解答可以在指定的附錄中找到。每章末尾的電腦實現部分引導學生進行編寫自己程序的過程。配套網站提供了大量的示例程序，以及一些核心程序和算法的可下載、與平台無關的小程序頁面。

隨著商業、政府和工業對密碼學的依賴持續增加，以及新的數據傳輸技術的出現，密碼學在日常運營中扮演著永久而重要的角色。這本自成一體的大二級教材追溯了該領域的演變，從其起源到現代的密碼系統，包括公鑰密碼學和橢圓曲線密碼學。