Reprint of the original, first published in 1883.

A free ebook version of this title is available through Luminos, University of California Press’s Open Access publishing program. Visit www.luminosoa.org to learn more. Language of the Snakes traces the history of the Prakrit language as a literary phenomenon, starting from its cultivation in courts of the Deccan in the first centuries of the common era. Although little studied today, Prakrit was an important vector of the kavya movement and once joined Sanskrit at the apex of classical Indian literary culture. The opposition between Prakrit and Sanskrit was at the center of an enduring “language order” in India, a set of ways of thinking about, naming, classifying, representing, and ultimately using languages. As a language of classical literature that nevertheless retained its associations with more demotic language practices, Prakrit both embodies major cultural tensions—between high and low, transregional and regional, cosmopolitan and vernacular—and provides a unique perspective onto the history of literature and culture in South Asia.

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.