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Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics)
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by Neal Koblitz, A.J. Menezes, Y.-H. Wu, and R.J. Zuccherato
Sales Rank: 912331
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List Price: $119.00
$94.89
At Amazon
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Hardcover: 206 pages
Publisher: Springer June 24, 2004
Language: English
ISBN-10: 3540634460
ISBN-13: 978-3540634461
Product Dimensions:
9.6 x 6.4 x 0.7 inches
Shipping Weight: 15.5 ounces
Product Review
" This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. Overall, this is an excellent expository text, and will be very useful to both the student and researcher."
M.V.D.Burmester, Mathematical Reviews 2002
" I think this book is a very inspiring book on cryptography. It goes beyond the traditional topics (most of the cryptosystems presented here are first time in a textbook, some of Paturi's work is not published yet). This way the reader has the feeling how easy to suggest a cryptosystem, how easy to break a safe looking system and hence how hard to trust one. The interested readers are forced to think together with ther researchers and feel the joy of discovering new ideas. At the same time the importance of "hardcore" mathematics is emphasized and hopefully some application driven students will be motivated to study theory."
Péter Hajnal, Acta Scientiarum Mathematicarum, 64.1998, p. 750
" Overall, the book is highly recommended to everyone who has the requisite mathematical sophistication."
E.Leiss, Computing Reviews 1998, p. 506
" Der Autor, der vielen Lesern dieses Rundbriefs gut bekannt sein wird, hat hier ein kleines Werk vorgelegt, das man wohl am Besten als "Lesebuch zu algebraischen Aspekten der Kryptographie mit öffentlichem Schlüssel" charakterisieren kann.
Mit zunehmender Schwierigkeit des Material werden die Ausführungen dabei skizzenhafter und beschränken sich immer stärker auf den Hinweis auf entsprechende Quellen, was den Charakter eines guten "Lesebuchs", wie ich es oben bezeichnet habe, ausmachen sollte. Das Buch eignet sich damit selbst für "advanced undergraduates", wie es im Klappentext heißt, als Einstieg und erster Überblick über ein Gebiet, in dem sich in den letzten Jahren auf überraschende Weise praktische Anwendungsmöglichkeiten für tief innermathematische Themen ergeben haben."
Hans-Gert Gräbe, Computeralgebra Rundbrief 1999, Issue 25
" Es gelingt Koblitz, anschaulich und mit elementaren Mitteln auch Dinge zu erläutern, die in vergleichbaren Texten kaum zu finden sind: z.B. den Hilbertschen Basis- und Nullstellensatz, sowie Gröbnerbasen. "
Franz Lemmermeyer, Mathematische Semesterberichte 1999, 46/1
Product Description
This is a textbook for a course (or self-instruction) in cryptography with emphasis on algebraic methods. The first half of the book is a self-contained informal introduction to areas of algebra, number theory, and computer science that are used in cryptography. Most of the material in the second half - "hidden monomial" systems, combinatorial-algebraic systems, and hyperelliptic systems - has not previously appeared in monograph form. The appendix by Menezes, Wu, and Zuccherato gives an elementary treatment of hyperelliptic curves. This book is intended for graduate students, advanced undergraduates, and scientists working in various fields of data security.
Customer Reviews & Comments
The textbook is intended for students with extensive knowledge of number theory, field theory, and algebraic techniques. It is terse and runs through the material using the definition-lemma-proof-theorem-proof method, with almost no examples. For students without the aforementioned prerequisites, the book is almost impossible to understand. The book can be great for students with the mathematical prerequisites and with sufficient mathematical maturity to understand elaborate definitions, theorems and proofs and who want to learn the material efficiently and quickly. The beginning student is advised to look for other, more elementary textbooks. The book contains many exercises with solutions at the end of the book.
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Algebraic Aspects of Cryptography (Algorithms and Computation in Mathematics)
List Price: $119.00
Available from Amazon
Price: $94.89
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