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Elementary Cryptanalysis: A Mathematical Approach, Second Edition
 

Revised and updated by Todd Feil.

Elementary Cryptanalysis
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-647-5
Product Code:  NML/22
List Price: $65.00
MAA Member Price: $48.75
AMS Member Price: $48.75
eBook ISBN:  978-0-88385-937-7
Product Code:  NML/22.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
Hardcover ISBN:  978-0-88385-647-5
eBook: ISBN:  978-0-88385-937-7
Product Code:  NML/22.B
List Price: $115.00 $90.00
MAA Member Price: $86.25 $67.50
AMS Member Price: $86.25 $67.50
Elementary Cryptanalysis
Click above image for expanded view
Elementary Cryptanalysis: A Mathematical Approach, Second Edition

Revised and updated by Todd Feil.

MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-88385-647-5
Product Code:  NML/22
List Price: $65.00
MAA Member Price: $48.75
AMS Member Price: $48.75
eBook ISBN:  978-0-88385-937-7
Product Code:  NML/22.E
List Price: $50.00
MAA Member Price: $37.50
AMS Member Price: $37.50
Hardcover ISBN:  978-0-88385-647-5
eBook ISBN:  978-0-88385-937-7
Product Code:  NML/22.B
List Price: $115.00 $90.00
MAA Member Price: $86.25 $67.50
AMS Member Price: $86.25 $67.50
  • Book Details
     
     
    Anneli Lax New Mathematical Library
    Volume: 222009; 212 pp

    Originally published in the New Mathematical Library almost half a century ago, this charming book explains how to solve cryptograms based on elementary mathematical principles, starting with the Caesar cipher and building up to progressively more sophisticated substitution methods. Todd Feil has updated the book for the technological age by adding two new chapters covering RSA public-key cryptography, one-time pads, and pseudo-random-number generators.

    Exercises are given throughout the text that will help the reader understand the concepts and practice the techniques presented. The book assumes minimal mathematical prerequisites and therefore explains from scratch such concepts as summation notation, matrix multiplication, and modular arithmetic.

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. Monoalphabetic Ciphers Using Additive Alphabets
    • Chapter 2. General Monoalphabetic Substitution
    • Chapter 3. Polyalphabetic Substitution
    • Chapter 4. Polygraphic Systems
    • Chapter 5. Transposition
    • Chapter 6. RSA Encryption
    • Chapter 7. Perfect Security-One-time Pads
    • Appendix A. Tables
    • Appendix B. ASCII Codes
    • Appendix C. Binary Numbers
  • Additional Material
     
     
  • Reviews
     
     
    • As a young mathematician, I learned how to make and break simple codes from Sinkov's beguiling introduction to cryptanalysis. In the intervening forty years there has been a revolution in cryptography, and it is fitting that for a modern edition of Sinkov's classic, Todd Feil has indicated the nature of this revolution by adding a lucid introduction to RSA public-key encryption and the number theory which underlies it. If you know a young code breaker who might become a young mathematician, buy her or him this book! Or buy it for yourself and try decoding those messages.

      Phil Straffin, Professor Emeritus of Mathematics and Computer Science at Beloit College
    • Sinkov's Elementary Cryptanalysis is an eminently readable classic that introduces the reader to both the techniques and the spirit of cryptanalysis -- the art and science of reading secret messages. Todd Feil has done a fine job of modernizing the language of the original. His chapters on RSA encryption and one-time pads give added value to the original, especially the very nice treatment of RSA that assumes almost no prior knowledge of number theory.

      Ezra Brown, Virginia Tech University
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 222009; 212 pp

Originally published in the New Mathematical Library almost half a century ago, this charming book explains how to solve cryptograms based on elementary mathematical principles, starting with the Caesar cipher and building up to progressively more sophisticated substitution methods. Todd Feil has updated the book for the technological age by adding two new chapters covering RSA public-key cryptography, one-time pads, and pseudo-random-number generators.

Exercises are given throughout the text that will help the reader understand the concepts and practice the techniques presented. The book assumes minimal mathematical prerequisites and therefore explains from scratch such concepts as summation notation, matrix multiplication, and modular arithmetic.

  • Chapters
  • Chapter 1. Monoalphabetic Ciphers Using Additive Alphabets
  • Chapter 2. General Monoalphabetic Substitution
  • Chapter 3. Polyalphabetic Substitution
  • Chapter 4. Polygraphic Systems
  • Chapter 5. Transposition
  • Chapter 6. RSA Encryption
  • Chapter 7. Perfect Security-One-time Pads
  • Appendix A. Tables
  • Appendix B. ASCII Codes
  • Appendix C. Binary Numbers
  • As a young mathematician, I learned how to make and break simple codes from Sinkov's beguiling introduction to cryptanalysis. In the intervening forty years there has been a revolution in cryptography, and it is fitting that for a modern edition of Sinkov's classic, Todd Feil has indicated the nature of this revolution by adding a lucid introduction to RSA public-key encryption and the number theory which underlies it. If you know a young code breaker who might become a young mathematician, buy her or him this book! Or buy it for yourself and try decoding those messages.

    Phil Straffin, Professor Emeritus of Mathematics and Computer Science at Beloit College
  • Sinkov's Elementary Cryptanalysis is an eminently readable classic that introduces the reader to both the techniques and the spirit of cryptanalysis -- the art and science of reading secret messages. Todd Feil has done a fine job of modernizing the language of the original. His chapters on RSA encryption and one-time pads give added value to the original, especially the very nice treatment of RSA that assumes almost no prior knowledge of number theory.

    Ezra Brown, Virginia Tech University
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.