
The Mathematics of Secrets
Cryptography from Caesar Ciphers to Digital Encryption
- English
- PDF
- Available on iOS & Android
About this book
Explaining the mathematics of cryptography
The Mathematics of Secrets takes readers on a fascinating tour of the mathematics behind cryptography—the science of sending secret messages. Using a wide range of historical anecdotes and real-world examples, Joshua Holden shows how mathematical principles underpin the ways that different codes and ciphers work. He focuses on both code making and code breaking and discusses most of the ancient and modern ciphers that are currently known. He begins by looking at substitution ciphers, and then discusses how to introduce flexibility and additional notation. Holden goes on to explore polyalphabetic substitution ciphers, transposition ciphers, connections between ciphers and computer encryption, stream ciphers, public-key ciphers, and ciphers involving exponentiation. He concludes by looking at the future of ciphers and where cryptography might be headed. The Mathematics of Secrets reveals the mathematics working stealthily in the science of coded messages.
A blog describing new developments and historical discoveries in cryptography related to the material in this book is accessible at http://press.princeton.edu/titles/10826.html.
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Information
Table of contents
- Cover
- Title
- Copyright
- Dedication
- CONTENTS
- Preface
- Acknowledgments
- 1 Introduction to Ciphers and Substitution
- 2 Polyalphabetic Substitution Ciphers
- 3 Transposition Ciphers
- 4 Ciphers and Computers
- 5 Stream Ciphers
- 6 Ciphers Involving Exponentiation
- 7 Public-Key Ciphers
- 8 Other Public-Key Systems
- 9 The Future of Cryptography
- List of Symbols
- Notes
- Suggestions for Further Reading
- Bibliography
- Index