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Building on the success of the first edition, An Introduction to
Number Theory with Cryptography, Second Edition, increases coverage
of the popular and important topic of cryptography, integrating it
with traditional topics in number theory. The authors have written
the text in an engaging style to reflect number theory's increasing
popularity. The book is designed to be used by sophomore, junior,
and senior undergraduates, but it is also accessible to advanced
high school students and is appropriate for independent study. It
includes a few more advanced topics for students who wish to
explore beyond the traditional curriculum. Features of the second
edition include Over 800 exercises, projects, and computer
explorations Increased coverage of cryptography, including
Vigenere, Stream, Transposition,and Block ciphers, along with RSA
and discrete log-based systems "Check Your Understanding" questions
for instant feedback to students New Appendices on "What is a
proof?" and on Matrices Select basic (pre-RSA) cryptography now
placed in an earlier chapter so that the topic can be covered right
after the basic material on congruences Answers and hints for
odd-numbered problems About the Authors: Jim Kraft received his
Ph.D. from the University of Maryland in 1987 and has published
several research papers in algebraic number theory. His previous
teaching positions include the University of Rochester, St. Mary's
College of California, and Ithaca College, and he has also worked
in communications security. Dr. Kraft currently teaches mathematics
at the Gilman School. Larry Washington received his Ph.D. from
Princeton University in 1974 and has published extensively in
number theory, including books on cryptography (with Wade Trappe),
cyclotomic fields, and elliptic curves. Dr. Washington is currently
Professor of Mathematics and Distinguished Scholar-Teacher at the
University of Maryland.
The acclaimed scholars contributing to this volume place under
scrutiny a fascinating alternative proposal for a pathway to
religious tolerance - that serious consideration of religious
diversity tends to reveal the weakness of support many have for
their religious commitments, and the humility produced tends to
result in religious tolerance. The authors illuminate the debate
within philosophy about the way beliefs are supported, the
controversy between internalism and externalism, and disagreement
about how humility and tolerance are related. Critical and
supportive views are represented so that the main lines of
agreement and disagreement rise to the surface and are mapped out
for the first time. The collection honours Philip Quinn who
advocated the pathway so rigorously that the special attention
given to his views focuses and deepens the critical discussion.
Original essays by some of the most respected contemporary
intellectuals in this field make this collection especially
attractive.
The acclaimed scholars contributing to this volume place under
scrutiny a fascinating alternative proposal for a pathway to
religious tolerance - that serious consideration of religious
diversity tends to reveal the weakness of support many have for
their religious commitments, and the humility produced tends to
result in religious tolerance. The authors illuminate the debate
within philosophy about the way beliefs are supported, the
controversy between internalism and externalism, and disagreement
about how humility and tolerance are related. Critical and
supportive views are represented so that the main lines of
agreement and disagreement rise to the surface and are mapped out
for the first time. The collection honours Philip Quinn who
advocated the pathway so rigorously that the special attention
given to his views focuses and deepens the critical discussion.
Original essays by some of the most respected contemporary
intellectuals in this field make this collection especially
attractive.
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