Series: Chapman Hall/CRC Mathematics Series
ISBN: 1584885475
Publication Date: 10/21/2005
Number of Pages: 232
Expands upon mathematical basics in interesting and stimulating
directions
Introduces the language of sets and describes methods for writing
proofs
Proves basic results on prime numbers, and shows how these can be
used to devise secret codes
Defines and analyzes three basic number systems - real numbers,
integers, and rational numbers
Discusses complex numbers and reveals the method for solving
cubic equations
Explores induction, Euler's formula, and Platonic solids
Provides an introduction to Analysis via a fundamental fact about
real numbers
Reviews Binomial and Multinomial Theorems for counting
Addresses problems related to infinite sets
A Solutions Manual is available for qualified course adoptions
A Concise Introduction to Pure Mathematics, Second Edition
provides a robust bridge between high school and university
mathematics, expanding upon basic topics in ways that will
interest first-year students in mathematics and related fields
and stimulate further study. Divided into 22 short chapters, this
textbook offers a selection of exercises ranging from routine
calculations to quite challenging problems.
The author discusses real and complex numbers and explains how
these concepts are applied in solving natural problems. He
introduces topics in analysis, geometry, number theory, and
combinatorics.
What's New in the Second Edition:
・ Contains extra material concerning prime numbers, forming the
basis for data encryption
・ Explores "Secret Codes" - one of today's most
spectacular applications of pure mathematics
・ Discusses Permutations and their importance in many topics in
discrete mathematics
The textbook allows for the design of courses with various points
of emphasis, because it can be divided into four fairly
independent sections related to: an introduction to number
systems and analysis; theory of the integers; an introduction to
discrete mathematics; and functions, relations, and countability.
Series: Discrete Mathematics and Its Applications Volume: 36
ISBN: 1584885084
Publication Date: 10/21/2005
Number of Pages: 600
Provides comprehensive coverage along with the latest
developments in cryptography
Covers many new practical schemes, such as Guillou-Quisquater,
Okamoto, and Schnorr schemes
Details the various types of protocols and how party identities
are verified
Includes digital fingerprinting schemes, multicast security, and
copyright protection issues
Supplies rigorous analysis of cryptographic protocols for
identification, key distribution, and key agreement
Contains numerous examples and exercises
THE LEGACY…
First Introduced in 1995, Cryptography: Theory and Practice
garnered enormous praise and popularity, and soon became the
standard textbook for cryptography courses around the world. The
second edition was equally embraced, and enjoys status as a
perennial bestseller. Now in its third edition, this
authoritative text continues to provide students with a solid
foundation for future work in cryptography.
WHY A THIRD EDITION?
The art and science of cryptography has been evolving for
thousands of years. Now, with unprecedented amounts of
information circling the globe, students must be prepared to face
new threats and employ new encryption schemes on an ongoing basis.
This edition updates relevant chapters with the latest advances
and includes seven additional chapters covering:
・ Pseudorandom bit generation in cryptography
・ Entity authentication, including schemes built from
primitives and special purpose "zero-knowledge" schemes
・ Key establishment including key distribution and protocols
for key agreement, both with a greater emphasis on security
models and proofs
・ Public key infrastructure, including identity-based
cryptography
・ Secret sharing schemes
・ Multicast security, including broadcast encryption and
copyright protection
THE RESULT…
Providing mathematical background in a "just-in-time"
fashion, informal descriptions of cryptosystems along with more
precise pseudocode, and a host of numerical examples and
exercises, Cryptography: Theory and Practice, Third Edition
offers comprehensive, in-depth treatment of the methods and
protocols that students will use to safeguard the mind-boggling
amount of information circulating around the world.
Series: Texts in Statistical Science Series
ISBN: 158488424X
Publication Date: 3/15/2006
Number of Pages: 256
Includes use of R throughout text to aid in data analysis
Explores regression model in three different forms
Presents all extensions using a common framework
Suitable for use as a graduate level text
This modern statistics text discusses the extension of the linear
model through the regression model. It extensively addresses the
generalized linear model, GLM diagnostics, generalized linear
mixed models, trees, and the use of neural networks in the field
of statistics. It discusses the regression model in three forms:
through the use of dummy variables for qualitative predictors, by
allowing transformation of variables as in the Box-Cox
transformation, and the use of weights that allow heterogeneous
error structures and the exclusion of outliers. R is used
throughout the book to aid with computation and model building.
Publisher:
Routledge
ISBN:
0415336090
Pub Date:
06 JUL 2005
Type:
Hardback Book
Extent:
256 pages
(Dimensions 234X156 mm)
Game theory has implications for all the social sciences and
beyond. It now provides the theoretical basis for almost all
teaching in economics, and 2x2 games provide the very basis of
game theory. Here, Goforth and Robinson here have delivered a
well-written and knowledgeable, 'periodic table' of the most
common games including:
* the prisoner's dilemma
* coordination games
* chicken
* the battle of the sexes.
This book will provide a valuable reference for students of
microeconomics and business mathematics.
Series: NATO Science Series II: Mathematics, Physics and
Chemistry, Vol. 209
2005, X, 350 p.,
Softcover ISBN: 1-4020-3747-3
Hardcover ISBN: 1-4020-3746-5
Due: October 2005
About this book
This volume contains the Lectures and selected participant
contributions to the 14th Course of the International School of
Cosmic Rays Astrophysics, a NATO Advanced Study Institute. Well
known astrophysicists and astronomers discuss different aspects
of the generation of high energy signals in powerful
astrophysical objects concentrating on the production of
neutrinos and gamma rays from high energy particle interactions.
Recent results from new experiments and observatories are
presented. Topics cover a wide range including the Spitzer
infrared observatory, TeV gamma ray observations, dark matter,
and neutrino telescopes. The combination of basic knowledge about
the production of high energy signals with information about the
data analysis of ongoing observations places the book between the
usual levels of a textbook and a conference proceedings. It will
give the reader a good introduction to the current field of
astroparticle physics, and some of the fascinating astrophysics
being addressed.
Table of contents
Series: NATO Science Series II: Mathematics, Physics and
Chemistry, Vol. 213
2005, X, 347 p.,
Softcover ISBN: 1-4020-3948-4
Hardcover ISBN: 1-4020-3747-6
Due: September 2005
About this book
The book is directed to researchers and graduate students
pursuing an advanced degree. It provides details of techniques
directed towards solving problems in non-linear dynamics and chos
that are, in general, not amenable to a perturbative treatment.
The consideration of fundamental interactions is a prime example
where non-perturbative techniques are needed. Extension of these
techniques to finite temperature problems is considered. At
present these ideas are primarily used in a perturbative context.
However, non-perturbative techniques have been considered in some
specific cases. Experts in the field on non-linear dynamics and
chaos and fundamental interactions elaborate the techniques and
provide a critical look at the present status and explore future
directions that may be fruitful. The text of the main talks will
be very useful to young graduate students who are starting their
studies in these areas.
Table of contents