Hi Sumit, John, and Chris, You may also want to look at F.L. Bauer's "Decrypted Secrets: Methods and Maxims of Cryptology." ISBN: 3540668713
http://www.amazon.com/exec/obidos/ASIN/3540668713/qid=1019953328/sr=1-1/ref= sr_1_1/103-3344593-5391015 To quote an Amazon reviewer, "Mathematically very rigorous but still very readable." Regards, David [EMAIL PROTECTED] -----Original Message----- From: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED]]On Behalf Of chris albert Sent: April 24, 2002 7:04 PM To: John Daniele; Sumit Dhar Cc: [EMAIL PROTECTED] Subject: Re: Books on Math Behind Crypto. John Daniele wrote: > > Well.. one good mathematics book that does cover in good depth concepts > that would be of value such as solving partial differential equations, > group theory is: > > "The Mathematics of Classical and Quantum Physics" by Dover Publishing > > Also, "Concise Complex Analysis by Sheng Gong" might be something to look > into. > > then there's always "Numerical Recipes in "C" > (http://lib-www.lanl.gov/numerical/bookcpdf.html which has been of great > help in understanding how to properly implement certain mathematical > concepts in code. > > _________________________________________ > John Daniele > > > Hello Everyone, > > > > To get a good understanding of Crypto a thorough understanding of the > > Mathematical Concepts behind it would be necessary. Frankly I dont see how PDEs or Complex ananlysis could possible be useful in crypto, at least it its present state. Even less the physics stuff, unless the original poster meant quantum crypto, which I think not. While there is some interesting math behind say stream and block ciphers, the big mathematical connections have come with public key crypto, which involves computational complexity theory, number theory, some probability theory, and say some discrete math, combinatorics , to name the big players from a mathematical point of view. Personally I think Stinson's book http://www.cacr.math.uwaterloo.ca/~dstinson/CTAP2/CTAP2.html would be an excellent place to start for the math background, and the Handbook of Applied Cryptography (available on line!) http://www.cacr.math.uwaterloo.ca/hac/ is also very good but much more dense mathematically. For a mathematical treatment that is especially good for elliptic curve crypto you should look at N. Koblitz, A Course in Number Theory and Cryptography, 2nd ed., Springer-Verlag (1994). Most math and computer science department courses on crypto have a strong math content and there are lots of good courses on line. Avi Rubin has a web page about them. In general good places to start looking for course material are MIT, the Technion, and Berkeley, but there are many others. There must be hundreds of crypto courses available on line. There is also http://www.counterpane.com/courses.html Bruce Scneier's book Applied Cryptography is good too, as well as "Secrets &Lies", and basically most of what he writes (okay, he plugs his company, but so would I if I had one). Hope this helps, Chris
