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To piggy back on this thread, can anyone recommend a book on cryptography for mathematicians? I'm familiar with some of the more popular applied books, but I'm

To piggy back on this thread, can anyone recommend a book on cryptography for mathematicians? I'm familiar with some of the more popular applied books, but I'm also interested in more rigorous texts that use careful proofs and state theorems etc.

c0742e9366 4y ago
As written below, "Introduction to Modern Cryptography" by Katz & Lindell. Another option would be "A Graduate Course in Applied Cryptography" by Boneh & Shoup. However, for starting out, I would definitely recommend the former as it's more polished and focuses on the essentials.
- buescher 4y ago
  I took Boneh's graduate class a few years ago through SCPD. Recommended if you can justify it. He has a Coursera course that I assume is of similar high quality with less depth and rigor. We used the above two books in addition to Handbook of Applied Cryptography by Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone. I notice Boneh no longer uses the latter for CS255; perhaps it is too out of date now? At any rate, it is also available free on the web: https://cacr.uwaterloo.ca/hac/ https://cacr.uwaterloo.ca/hac/
sweis 4y ago
Oded Goldreich's "Foundations of Cryptography" books are the rigorous, theoretical oriented books used in many grad-level crypto courses: https://www.wisdom.weizmann.ac.il/~oded/foc-book.html https://www.wisdom.weizmann.ac.il/~oded/foc-book.html Neil Koblitz has "A Course in Number Theory and Cryptography", which I haven't read, but is often used: https://www.amazon.com/Course-Number-Cryptography-Graduate-Mathematics/dp/0387942939 https://www.amazon.com/Course-Number-Cryptography-Graduate-M... Also, Boneh and Shoup is good and mentioned in other comments: https://toc.cryptobook.us/ https://toc.cryptobook.us/
ngneer 4y ago
Cryptography: Theory and Practice, Third Edition by Douglas R. Stinson
hovav 4y ago
Steven Galbraith's Mathematics of Public Key Cryptography: https://www.math.auckland.ac.nz/~sgal018/crypto-book/crypto-book.html https://www.math.auckland.ac.nz/~sgal018/crypto-book/crypto-...
cartoonfoxes 4y ago
J. Katz, and Y. Lindell, 2015: Introduction to Modern Cryptography, 2nd ed. CRC Press, 583 pp.

c0742e9366 4y ago

As written below, "Introduction to Modern Cryptography" by Katz & Lindell. Another option would be "A Graduate Course in Applied Cryptography" by Boneh & Shoup. However, for starting out, I would definitely recommend the former as it's more polished and focuses on the essentials.

buescher 4y ago
I took Boneh's graduate class a few years ago through SCPD. Recommended if you can justify it. He has a Coursera course that I assume is of similar high quality with less depth and rigor. We used the above two books in addition to Handbook of Applied Cryptography by Alfred J. Menezes, Paul C. van Oorschot and Scott A. Vanstone. I notice Boneh no longer uses the latter for CS255; perhaps it is too out of date now? At any rate, it is also available free on the web: https://cacr.uwaterloo.ca/hac/ https://cacr.uwaterloo.ca/hac/

sweis 4y ago

Oded Goldreich's "Foundations of Cryptography" books are the rigorous, theoretical oriented books used in many grad-level crypto courses: https://www.wisdom.weizmann.ac.il/~oded/foc-book.html https://www.wisdom.weizmann.ac.il/~oded/foc-book.html Neil Koblitz has "A Course in Number Theory and Cryptography", which I haven't read, but is often used: https://www.amazon.com/Course-Number-Cryptography-Graduate-Mathematics/dp/0387942939 https://www.amazon.com/Course-Number-Cryptography-Graduate-M... Also, Boneh and Shoup is good and mentioned in other comments: https://toc.cryptobook.us/ https://toc.cryptobook.us/

ngneer 4y ago

Cryptography: Theory and Practice, Third Edition by Douglas R. Stinson

hovav 4y ago

Steven Galbraith's Mathematics of Public Key Cryptography: https://www.math.auckland.ac.nz/~sgal018/crypto-book/crypto-book.html https://www.math.auckland.ac.nz/~sgal018/crypto-book/crypto-...

cartoonfoxes 4y ago

J. Katz, and Y. Lindell, 2015: Introduction to Modern Cryptography, 2nd ed. CRC Press, 583 pp.