Most people, acquainted with cryptology either through sensational cloak and dagger stories or through newspaper cryptograms, are not aware that many aspects of this art may be treated systematically, by means of some elementary mathematical concepts and methods. In this introduction, Professor Sinkov explains some of the fundamental techniques at the basis of cryptanalytic endeavor from which much more sophisticated techniques have evolved, especially since the advent of computers. The mathematical topics relevant in these discussions include modular arithmetic, a little number theory, some linear algebra of two dimensions with matrices, some combinatorics, and a little statistics. Also included are programs in BASIC developed by Paul Irwin for use in his course based on this book.
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Editorial Reviews
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'One of the best books on the subject.' Cryptologia
Book Description
Most people acquainted with cryptology through cloak-and-dagger stories are unaware that many aspects of this art may be treated systematically. Sinkov explains the basis from which much more sophisticated cryptanalysis techniques have evolved. Included are programs in BASIC developed by Paul Irwin for use in his course based on this book.
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15 of 15 people found the following review helpful:
4.0 out of 5 stars
One of the Classics,
By
This review is from: Elementary Cryptanalysis: A Mathematical Approach (Mathematical Association of America Textbooks) (Paperback)
This, along with the book by Helen Gaines, is one of the best introductions to classical cryptology, but if you want to go further into contemporary cryptology, you'll need a more recent book. I like Applied Cryptology by Bruce Schneier.For by far the best book on background but not for mathematics, try The Codebreakers by David Kahn. All four belong on any crypto bookshelf.
19 of 20 people found the following review helpful:
5.0 out of 5 stars
No one does it better!,
By Don Snyder (San Diego, CA USA) - See all my reviews
This review is from: Elementary Cryptanalysis: A Mathematical Approach (Mathematical Association of America Textbooks) (Paperback)
Dr. Sinkov has been-there, done-that. He was in the first group of three mathematicians hired by William Friedman of the Army's Signal Intelligence Service (SIS) back in 1930. After two name changes, the agency became the NSA, and Sinkov became the Chief of Communications Security, and later, Deputy Director for Production. Using only high school math, the good doctor takes us on a tour of cryptanalysis that is remarkable for it's clarity and completeness. If you don't start with Sinkov's book, you're doing it the hard way.
13 of 13 people found the following review helpful:
4.0 out of 5 stars
This is an excellent introduction to cryptanalysis,
By shiva@lava.net (Hawaii) - See all my reviews
This review is from: Elementary Cryptanalysis: A Mathematical Approach (Mathematical Association of America Textbooks) (Paperback)
Sinkov presents the basics of simple cryptanalysis in clear, easy to understand language. His examples and sample exercises that accompany each chapter provide the reader with hands-on practice of the concepts introduced. Whether you are new to the study of cryptography and cryptanalysis or you are well familiar with the basics of the field, Sinkov's presentation will have something to interest you. A mathematical approach to cryptanalysis that is well thought out and easy to understand.
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Inside This Book
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First Sentence:
One of the earliest cryptographic systems known was used by Julius Caesar and is referred to by his name-the Caesar Cipher. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
digraphic system, direct standard alphabets, cipher digraph, completely filled rectangle, deciphering matrix, cipher sequence, decimation interval, plain text equivalent, matching alphabets, deciphering transformation, plain sequence, columnar transposition, plain text letters, substitution alphabet, decimated sequence, individual alphabets, normal alphabet, cipher message, cipher letters, original plain text, probable word, plain text message Key Phrases - Capitalized Phrases (CAPs): (learn more)
Exercises Solve, Caesar Cipher, Rail Fence Cipher New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
One of the earliest cryptographic systems known was used by Julius Caesar and is referred to by his name-the Caesar Cipher. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
digraphic system, direct standard alphabets, cipher digraph, completely filled rectangle, deciphering matrix, cipher sequence, decimation interval, plain text equivalent, matching alphabets, deciphering transformation, plain sequence, columnar transposition, plain text letters, substitution alphabet, decimated sequence, individual alphabets, normal alphabet, cipher message, cipher letters, original plain text, probable word, plain text message Key Phrases - Capitalized Phrases (CAPs): (learn more)
Exercises Solve, Caesar Cipher, Rail Fence Cipher New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 38
books:
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6
books
cite this book:
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- Numbers: Rational and Irrational (New Mathematical Library) by Ivan Morton Niven in Front Matter, and page 24
- Probability and Statistics by Frederick Mosteller in Back Matter
- Lost Languages by P. E. Cleator in Back Matter
- Probability and Statistics (Grades 6-8) by Margaret Thomas in Back Matter
- Mathematics of Matrices by Philip J. Davis in Back Matter
See all 38 books this book cites
- Handbook of Applied Cryptography (Discrete Mathematics and Its Applications) by Alfred Menezes in Back Matter
- The Cryptographic Imagination: Secret Writings From Edgar Allen Poe to the Internet (Parallax: Re-visions of Culture and Society) by Professor Shawn Rosenheim in Back Matter
- Coding for Data and Computer Communications by David Salomon in Back Matter
- Biocomputing: Informatics and Genome Projects by Douglas W. Smith on page 173
- Data Privacy and Security by David Salomon in Back Matter
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