Hoffstein, Pipher, and Silverman provide a thorough treatment of the topics while keeping the material accessible. The book uses examples throughout the. Jeffrey Hoffstein (Author), Jill Pipher (Contributor), . Mathematical Cryptography (Undergraduate Texts in Mathematics) by Jeffrey Hoffstein Paperback $ An Introduction to Mathematical Cryptography. Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman. Springer-Verlag – Undergraduate Texts in Mathematics.

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The authors give an elementary overview of elliptic curves over the complex numbers, and most importantly over finite fields whose characteristic is greater than 3. Write a customer review.

Page 1 of 1 Start over Page 1 of 1. Topics are well motivated, and there are a good number of examples and nicely chosen exercises.

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To me, this book is still the first-choice introduction to public-key cryptography. Add both to Cart Add both to List.

The authors apparently do not want to get into the notions of unramified and separable “isogenies” between elliptic curves and Galois extensions, both of which are used in the proof that they reference. Amazon Inspire Digital Educational Resources. The Hasse formula is viewed in some texts as a “Riemann Hypothesis” for elliptic curves over finite fields, and was proven by Hasse in Amazon Advertising Silvermqn, attract, and engage customers.

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There was a problem filtering reviews right now. At least for the chapters that were studied by this reviewer, the authors of this book give an effective introduction to the mathematical theory used in cryptography at a level that can be approached by an undergraduate senior in mathematics. The book focuses on these key topics while developing the mathematical tools needed for pipherr construction and security analysis of diverse cryptosystems.

### An Introduction to Mathematical Cryptography

Isogenies are mentioned in a footnote to the discussion on distortion maps, since the latter are isogenies. One sjlverman these items ships sooner than the other. Many homework problems on silveramn the reader can practice lipher another strength. Cryptography and Network Security: The proofs were no doubt omitted due to their dependence on techniques from algebraic geometry. Try the Kindle edition and experience these great reading features: The authors correctly don’t want to elaborate on Weil descent in any more detail, since it requires a solid knowledge of field extensions and theory of algebraic varieties at a level that one obtains in a graduate course in algebraic geometry.

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## An Introduction to Mathematical Cryptography

It is for undergrads, but useful at grad level to any student who didn’t take the courses as an undergrad i. Would you like to tell us about a lower price? East Dane Designer Men’s Fashion.