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Über das Produkt
An elementary introduction to the mathematics involved in cryptology, the science of reading and writing secret messages. The book has an engaging style, and all concepts used are carefully explained. It will be suitable for all students interested in cryptology and those looking for practical applications of seemingly abstract mathematics.
Kurzbeschreibung
This is an introduction to the mathematics involved in the intriguing field of cryptology, the science of writing and reading secret messages which are designed to be read only by their intended recipients. It is written at an elementary level, suitable for beginning undergraduates, with careful explanations of all the concepts used. The basic branches of mathematics required, including number theory, abstract algebra and probability, are used to show how to encipher and decipher messages, and why this works, giving a practical as well as theoretical basis to the subject. Challenging computer programming exercises are also included. The book is written in an engaging style which will appeal to all, and also includes historical background on some of the founders of the subject. It will be of interest both to students wishing to learn cryptology per se, and also to those searching for practical applications of seemingly abstract mathematics.
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4 Rezensionen
16 von 16 Kunden fanden die folgende Rezension hilfreich
Some math is just plain fun and this is one such area
11. April 2001
Format:Taschenbuch
I cannot speak for the female side of the human race, but when I was young all the boys wanted to be a spy. We formed clubs and pretended to be secret agents. It was such great fun to create and use the codes to encrypt, pass and decode our important messages. Reading this book took me back to those days, not only reminding me of the good times we had but also how serious encryption is.
This book was a good deal of fun to read, but underlying the fun there is an air of extreme seriousness. It is not an exaggeration to say that secure encryption is the key to the efficient functioning of the global economy. Billions of dollars are electronically moved every day and without the security of unbreakable encryption, it would all be too unreliable to use. If the current codes were proven to be breakable, it would be a catastrophe, probably the only threat to the world economy that does not involve a major natural disaster.
The mathematics of encryption are surprisingly easy to understand. Starting with the simple substitution ciphers and moving through the more complex polyalphabetic and polygraphic substitutions, the techniques to create and break them are described. For most of the codes, the most complex mathematics needed to understand them is a basic understanding of matrices and how they are added and multiplied. It is only in the last chapter of public key cryptography where some advanced mathematics of number theory are used. Each chapter ends with a set of problems and solutions to the even ones are given in an appendix.
This would be an excellent textbook for a course in applied mathematics. There is an inherent fascinating quality to the subject matter and the tales of encryption are very well done. I strongly recommend that you read it.
Published in Journal of Recreational Mathematics, reprinted with permission.
This book was a good deal of fun to read, but underlying the fun there is an air of extreme seriousness. It is not an exaggeration to say that secure encryption is the key to the efficient functioning of the global economy. Billions of dollars are electronically moved every day and without the security of unbreakable encryption, it would all be too unreliable to use. If the current codes were proven to be breakable, it would be a catastrophe, probably the only threat to the world economy that does not involve a major natural disaster.
The mathematics of encryption are surprisingly easy to understand. Starting with the simple substitution ciphers and moving through the more complex polyalphabetic and polygraphic substitutions, the techniques to create and break them are described. For most of the codes, the most complex mathematics needed to understand them is a basic understanding of matrices and how they are added and multiplied. It is only in the last chapter of public key cryptography where some advanced mathematics of number theory are used. Each chapter ends with a set of problems and solutions to the even ones are given in an appendix.
This would be an excellent textbook for a course in applied mathematics. There is an inherent fascinating quality to the subject matter and the tales of encryption are very well done. I strongly recommend that you read it.
Published in Journal of Recreational Mathematics, reprinted with permission.
14 von 14 Kunden fanden die folgende Rezension hilfreich
Wonderful book
5. März 2002
Format:Taschenbuch
I *loved* this book.
It covers the essential number theory required to understand various encryption schemes, and while it is a thin book, it doesn't omit any steps between various mathematical steps (" ... and then magic happens ..."). You end up with the satisfying feeling of being able to derive the proof for RSA, starting from high-school math.
Highly recommended.
12 von 23 Kunden fanden die folgende Rezension hilfreich
well done
23. Februar 2003
Format:Taschenbuch
As I do not work for M.I.6, the N.S.A. or some other `Secret Service' a computer program as Wolfram's ` Mathematical Explorer' [at Amazon for $75, or so] which can encrypt a message by R.S.A [heavy duty crypto] is `really' all I need.
I have a number of books on all kinds of cryptography ... `classical' crypto, `Codes' [different from cyphers], number theory and so on.
While there are `better' books on specific parts of cryptology this book is by far the best overall introduction.
The title of this book scared me a bit. I have never been that `comfortable' with some sorts of maths and this book `sounded' brutal, and while it is a `math' book it is really not impossible to `figure out' [although some spots I must have read twenty times but thats the topic].
`REQUIRED BACKGROUND'
You can `do' with less but it helps to know basic algebra and understand variables. The vocabulary and nomenclature of areas as Set Theory and Probability [which I had to `study up' on] would be `nice' but you can `slide' without them,
Reading level: age 14 through senility :-) [ but a challenge for those `dead and encrypted'.
`Classical', pen and paper, cryptology: B+
Clear Writing: A-
The `History' of cryptology: C+
Physical [binding and paper, type, type size ... ] B
Also covered in detail is "public key' cryptography which as I wrote I do by `pre - written' computer program.
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