Handbook Of Applied Cryptography (Crc Press Series on Discrete Mathematics and Its Applications)

Book Description

Cryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional: Â· It serves as an introduction to the more practical aspects of both conventional and public-key cryptography Â· It is a valuable source of the latest techniques and algorithms for the serious practitioner Â· It provides an integrated treatment of the field, while still presenting each major topic as a self-contained unit Â· It provides a mathematical treatment to accompany practical discussions Â· It contains enough abstraction to be a valuable reference for theoreticians while containing enough detail to actually allow implementation of the algorithms discussed Now in its third printing, this is the definitive cryptography reference that the novice as well as experienced developers, designers, researchers, engineers, computer scientists, and mathematicians alike will use.

Customer Reviews:

Advanced Crypto for the college mind........2004-04-26

This very detailed work is not for the light hearted. It's an in depth look at the mathmatics behind cryptography. If you're looking for a book to help you program then look for Applied Cryptography by Bruce the crypto king instead. If you're looking for something to help you learn cryptoanalysis and how to break codes then this is the first step.

Fantastic traditional reference.......2004-01-03

The Chapter 14 - Efficient Implementation - shows several multiple precision algorithms. They are very easy to understand and implement under any microprocessor. It is a very good complement to the book set written by Donald Knuth (The Art of Computer Programming, Volumes 1-3 Boxed Set), another fantastic traditional reference.

A very detailed book, but not for everyone........2003-10-13

This is a fairly strong book on crypto, with heavy detail on the math involved. The upside is that the second chapter is devoted to most of the important mathematical theory you'll need to understand for the rest of the book. The downside? That chapter tries to cover just about the same breadth of information as a semester long course in Number Theory.

If you don't have a ton of mathematical background and are scared of having to take a crash course in number theory, or are looking for a higher level view of things, I'd suggest something more along the lines of Bruce Schneier's 'Applied Cryptography' (ASIN 0471117099). If you have some mathematical background, but want to get into things in detail, this is probably for you.

If you're not sure whether you'll like the book, you should definitely take a look at it. While Amazon currently doesn't have sample pages, if you do a Web Search on "Handbook of Applied Cryptography", you can find Sample Chapters hosted online to give you a good feel for the book's style.

Complete and satisfying.......2003-07-06

This book is a deep detailed analysis of
modern cryptography. It is light on
cryptanalysis.
The mathematical background information
and explanations are complete and clear.
It is very satisfying to be able to read
the prose and implement the ideas in
a computer program with ease.

Very depthful yet readable.......2003-02-22

I read 4 other books before picking this one. It is the most detailed and readable book. Covers all aspect of the Cryptography. Worth the money.

Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications)

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Infinite Dimensional Optimization and Control Theory (Encyclopedia of Mathematics and its Applications)
Hector O. Fattorini
Manufacturer: Cambridge University Press
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Binding: Hardcover

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ASIN: 0521451256

Book Description

This book concerns existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. The author obtains these necessary conditions from Kuhn-Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Fattorini studies evolution partial differential equations using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. The author establishes existence of optimal controls for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

Cryptography: Theory and Practice (Discrete Mathematics and Its Applications)

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It lacks theory
A good reference
Good book after Schneier's Non-Mathematical Treatment
Volume III of the Definitive Work
Could be a great book .... but it falls short

Cryptography: Theory and Practice (Discrete Mathematics and Its Applications)
Douglas R. Stinson
Manufacturer: CRC Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0849385210

Amazon.com

Douglas R. Stinson's Cryptography: Theory and Practice is a mathematically intensive examination of cryptography, including ciphers, the Data Encryption Standard (DES), public key cryptography, one-way hash functions, and digital signatures. Stinson's explication of "zero-sum proofs"--a process by which one person lets another person know that he or she has a password without actually revealing any information--is especially good.

If you are new to the math behind cryptography but want to tackle it, the author covers all of the required background to understand the real mathematics here. Cryptography includes extensive exercises with each chapter and makes an ideal introduction for any math-literate person willing to get acquainted with this material.

Book Description

Cryptography is an outstanding book that covers all the major areas of cryptography in a readable, mathematically precise form. Several chapters deal with especially active areas of research and give the reader a quick introduction and overview of the basic results in the area. Cryptography provides the mathematical theory that is necessary in order to understand how the various systems work. Most algorithms are presented in the form of pseudocode, together with examples and informal discussion of the underlying ideas. The book gives careful and comprehensive treatment of all the essential core areas of cryptography. Also, several chapters present recent topics that have not received thorough treatment in previous textbooks. Such topics include authentication codes, secret sharing schemes, identification schemes, and key distribution.

Customer Reviews:

It lacks theory.......2007-06-15

The book is good about protocols and methods but it lacks the real theory underlying modern cryptography.
For a more serious treatment of these topics i recommend "Introduction to modern cryptography" by J. Katz and Y. Lindell (which i read in form of draft) and "Foundations of Cryptography Vol. 1" by O. Goldreich.

A good reference.......2007-04-24

I may not intend to read this book from cover to cover but would rather use it as a reference. As an engineer I like chapter 2 Shannon's Theory which gives an answer to why a cryptosytem is secure.

Personally I am doing the job related to network security and perfer to recommend the book by C. Kaufman, R. Perlman, and M. Speciner:Network Security: Private Communication in a Public World, Second Edition.

Good book after Schneier's Non-Mathematical Treatment.......2005-05-28

If you are an engineer trying to learn crypto, maybe get a book on number theory to go with this book. It'd be nice if there were fewer errors and more worked out problems, as well.

Overall a good effort but written by a mathematican so you need a book like Schenier's that explains how to use the tools. Maybe Scheier is the one I'd read first. Then read Stinson's to understand how the tools work because Scheier's book is mathematically barren.

Volume III of the Definitive Work.......2005-04-17

This book takes a fairly rigorous mathematical approach to cryptography. It is intended for upper level undergraduate and graduate students in mathematics, computer science and engineering. I suspect only the quite mathematically inclined computer science and engineering students will find this book helpful. This is not a Boy Scout how to do secret messages book, but a book that will give the professional the data needed to implement cryptographic software, and the mathematician hints on both code breaking and creating.

This is the third edition of this book. With the second edition, the author got rid of several several subjects that were not right at the core of cryptography, with the intend of doing a second volume. Instead, the art and scienct of cryptography has changed so fast during the past few years that a two volume approach isn't practical. Instead, he has produced this third edition that picks back up many of the subjects from the first edition. All of the material in this edition has been extensively re-written to incorporate the latest theories and practices.

In recent years the use of cryptography has increased by several orders of magnitude. Every time we buy something with a credit card, use on line banking, send a password to access e-mail, we use cryptography. With this growth, the interest at software companies, universities, and other places has grown accordingly and this text has become the standard by which others are compared.

Highly recommended for the serious student.

Could be a great book .... but it falls short.......2004-05-02

As other people have pointed out, this is not a mathematics book, and it is not an algorithm (recipies) book. It could be a great book for people that are interested in learning these tools to actually use them, either in a research or product development context (something besides homework). Unfortunately, the number of typos, in key mathematical expressions AND PORTIONS OF THE EXPLANATIONS is staggering. Go to the author's web page and you will find that some chapters, like 4 for example, average more than one typo per page (and some of these 'typos' are full sentences, or math expressions that do not look like anything that is actually printed on the page). If you do not have that errata sheet handy, you will waste a lot of time trying to understand the text, or trying to solve the exercises. If you are trying to learn from this book, without attending a class and without the errata, you will simply give up. It is a real shame because it has all the makings of a great book.

Design Theory (Encyclopedia of Mathematics and its Applications)

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Design Theory (Encyclopedia of Mathematics and its Applications)
Thomas Beth , D. Jungnickel , and H. Lenz
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0521772311

Book Description

This volume concludes the second edition of the standard text on design theory. Since the first edition there has been extensive development of the theory and this book has been thoroughly rewritten to reflect this. In particular, the growing importance of discrete mathematics to many parts of engineering and science have made designs a useful tool for applications, a fact that has been acknowledged here with the inclusion of an additional chapter on applications. The volume is suitable for advanced courses and for reference use, not only for researchers in discrete mathematics or finite algebra, but also for those working in computer and communications engineering and other mathematically oriented disciplines. Features include exercises and an extensive, updated bibliography of well over 1800 citations.

Optimal Control: An Introduction to the Theory and Its Applications (Dover Books on Engineering)

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Optimal Control: An Introduction to the Theory and Its Applications (Dover Books on Engineering)
Michael Athans , and Peter L. Falb
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 0486453286

Book Description

Geared toward advanced undergraduates and graduate engineering students, this text introduces the theory and applications of optimal control. It serves as a bridge to the technical literature, enabling students to evaluate the implications of theoretical control work, and to judge the merits of papers on the subject. 1963 edition.

Stochastic Approximation and Its Application (Nonconvex Optimization and Its Applications)

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Stochastic Approximation and Its Application (Nonconvex Optimization and Its Applications)
Han-Fu Chen
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 1402008066

Book Description

This book presents the recent development of stochastic approximation algorithms with expanding truncations based on the TS (trajectory-subsequence) method, a newly developed method for convergence analysis. This approach is so powerful that conditions used for guaranteeing convergence have been considerably weakened in comparison with those applied in the classical probability and ODE methods. The general convergence theorem is presented for sample paths and is proved in a purely deterministic way. The sample-path description of theorems is particularly convenient for applications. Convergence theory takes both observation noise and structural error of the regression function into consideration. Convergence rates, asymptotic normality and other asymptotic properties are presented as well. Applications of the developed theory to global optimization, blind channel identification, adaptive filtering, system parameter identification, adaptive stabilization and other problems arising from engineering fields are demonstrated.
Audience: Researchers and students of both graduate and undergraduate levels in systems and control, optimization, signal processing, communication and statistics.

Control of Quantum-Mechanical Processes and Systems (Mathematics and its Applications)

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Control of Quantum-Mechanical Processes and Systems (Mathematics and its Applications)
A.G. Butkovskiy , and Yu.I. Samoilenko
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 0792306899

Mathematical Systems Theory in Biology, Communications, Computation and Finance (IMA VOLUMES IN MATHEMATICS AND ITS APPLICATIONS)

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Mathematical Systems Theory in Biology, Communications, Computation and Finance (IMA VOLUMES IN MATHEMATICS AND ITS APPLICATIONS)
Joachim Ed. Rosenthal
Manufacturer: Springer-Verlag
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Binding: Hardcover

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ASIN: 0387403191

Book Description

Mathematical systems theory is a vibrant research area in its own right. The theory has an impact in numerous applications areas including aeronautics, biological systems, chemical engineering, communication systems, financial engineering and robotics to name just a few. This volume contains survey and research articles by some of the leading researchers in mathematical systems theory. Many authors have taken special care that their articles are self-contained and accessible also to non-specialists. The articles contained in this volume are from those presented as plenary lectures, invited one hour lectures and minisymposia at the 15th International Symposium on the Mathematical Theory of Networks and Systems held at the University of Notre Dame, August 12-16, 2002.

Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications)

Average customer rating:

typical math text
Comprehensive, well organized, very applicable

Representations and Invariants of the Classical Groups (Encyclopedia of Mathematics and its Applications)
Roe Goodman , and Nolan R. Wallach
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521663482

Book Description

More than half a century has passed since Weyl's "The Classical Groups" gave a unified picture of invariant theory that has retained its importance in mathematics and physics to the present day. This book presents an updated version of this theory together with many of the important recent developments. As a text for beginners, this book provides an introduction to the structure and finite-dimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. It makes abundant use of examples and exercises to explain concepts such as root systems, Weyl groups and highest weight theory. The more advanced reader will find an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. This book will also serve as a reference for the main results on tensor and polynomial invariants and the finite-dimensional representation theory of the classical groups. It will appeal to researchers in mathematics, statistics, physics and chemistry whose work involves symmetry groups, representation theory, invariant theory and algebraic group theory.

Customer Reviews:

typical math text.......2004-07-01

Sadly, this book does not live up to its
reputation and can only be used by those
already having a working knowledege of
the subject. On top of that, the printing
is atrocious in places - unacceptable for
an expensive item.

Comprehensive, well organized, very applicable.......2001-07-12

The book may be considered an update of Weyl's classic from 1946 "The classical groups, their invariants and representations". Naturally the theory has developed immensly since then and a new comprehensive presentation has been urgently overdue. Goodman and Wallach are not only among the most qualified to write this next "classic" on the subject, they also put a phantastic effort into making it comprehensive, readable, and pleasant to use. I found it easy to find needed results and concrete formulae on decompositions of tensors and harmonics, duailty groups and centralizer algebras, mulitiplicity formulae, branching laws, etc.. The results are systematically organized - almost in an "encyclopedial" style. The book also contains rather modern results, such as, for example, new proofs of the Kostant Rallis Theorem or the relations between invariant theory and the Jones knot polynomial.

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