{"product_id":"an-introduction-to-mathematical-cryptography-undergraduate-texts-in-mathematics","title":"An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)","description":"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.\nThe book covers a variety of topics that are considered central to mathematical cryptography. Key topics include:\n\nclassical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, anddigital signatures;\n\nfundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms;\n\nan 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.\n\nThe 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.\u003cbr\u003eASIN: 1493939386\u003cbr\u003eVSKU: GBV.1493939386.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Pipher, Jill|Hoffstein, Jeffrey|Silverman, Joseph H.\u003cbr\u003eBinding: Paperback\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: Has a sturdy binding with some shelf wear. May have some markings or highlighting. Used copies may not include access codes or Cd's. Slight bending may be present.  \u003cbr\u003e","brand":"Good Books Company","offers":[{"title":"Default Title","offer_id":54494297620785,"sku":"GBV.1493939386.G","price":60.45,"currency_code":"USD","in_stock":true}],"url":"https:\/\/goodbookscompany.org\/products\/an-introduction-to-mathematical-cryptography-undergraduate-texts-in-mathematics","provider":"Good Books Company","version":"1.0","type":"link"}