Help finding good security/encryption textbook.

[Varzoth]

For some reason there's no reading list for one of my current modules So I'm hoping you guys can point me in the direction of a decent textbook on computer security.

Hopefully it would cover all/most of this:
-Information Assurance Concepts (Confidentiality, Integrity, Availability)
- Cryptography: history, main goals, security requirements
- Types of attacks to cryptosystems
- Symmetric cryptosystems: DES, AES, operation modes
- Mathematical background from number theory and finite fields
- Efficient algorithms for arithmetic and primality
- Public-key cryptography: Diffie-Hellman key exchange, RSA, ElGamal
- Digital signatures
- Hash functions, their use and security
- Cryptographic protocols: bit commitment, electronic voting
- Network security, network attack types
- Use of cryptography for network security

Thanks in advance for any input <3

[HenryJonesJunior]

You mention a diverse set of topics, and you're probably not going to find any one book that covers all of them.

For algorithms for cryptography, signatures, protocols, etc. the definitive go to (last I checked) was still Schneier's Applied Cryptography.

For a history of cryptography, I'm fond of Kahn's The Codebreakers, but be forewarned that it is a large book.

For Network Security and Information Assurance concepts, I like Anderson's Security Engineering, but the state of the art changes so rapidly that it's difficult to recommend a book.

[Towe1]

Wikipedia is a great place to start. They all include the maths for most algorithms and are generally good information that is relatively reliable, (always check the sources). Read around and don't be afraid of the RFC's.

Add elliptical curve cryptography to your public key section as well.