"A Course in Mathematical Cryptography" by Gilbert Baumslag, et al.

This book is concerned with the mathematical, especially algebraic, aspects of cryptography, and covers a wide range of topics in mathematical cryptography. The book is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area.

Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels.

Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics.

Contents
Preface
1 Basic Ideas of Cryptography
2 Symmetric Key Cryptosystems
3 Cryptanalysis and Complexity
4 Cryptographic Protocols
5 Elementary Number Theoretic Techniques
6 Some Number Theoretic Algorithms
7 Public Key Cryptography
8 Elliptic Curve Cryptography
9 Basic Concepts from Group Theory
10 Non-Commutative Group Based Cryptography
11 Platform Groups and Braid Group Cryptography
12 Further Applications Using Group Theory
13 Commutative Grobner Basis Methods
14 Non-Commutative Grobner Basis Methods
15 Lattice-Based Cryptography
Bibliography
Index