# Algorithmic algebra

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• ### A Computational Introduction to Number Theory and Algebra

This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory.

• ### ALGEBRAIC GEOMETRY

Note immediately one diﬀerence between linear equations and polynomial equations: theorems for linear equations don’t depend on which ﬁeld k you are working over, 1 but those for polynomial equations depend on whether or not k is algebraically closed and (to a lesser extent) whether k has characteristic zero. Since I intend to emphasize the geometry in this course, we will work over algebraically closed ﬁelds for the major part of the course.

• ### Fast Algorithms for Structured Matrices: Theory and Applications

Perhaps the most widely known example of fast algorithms is the fast Fourier transform (FFT) algorithm. Its importance is widely acknowledged and nicely described in numerous papers and monographs, e.g., as follows: "The fast Fourier transform (FFT) is one of the truly great computational developments of this century. It has changed the face of science and engineering so that it is not an exaggeration to say that life as we know it would be very different without FFT" (Charles Van Loan, Computational Frameworks for the Fast Fourier Transform, SIAM Publications, 1992).

• ### On the Discrete Logarithm Problem on Algebraic Tori

Using a recent idea of Gaudry and exploiting rational repre-sentations of algebraic tori, we present an index calculus type a lgorithm for solving the discrete logarithm problem that works directly in these groups.

• ### Sách: Lecture Notes in Computer Science

CAI 2009 was the Third International Conference on Algebraic Informatics. It was intended to cover the topics of algebraic semantics on graphs and trees, formal power series, syntactic objects, algebraic picture processing, finite and infinite computations, acceptors and transducers for strings, trees, graphs, arrays, etc., decision problems, algebraic characterization of logical theories, process algebra, algebraic algorithms, algebraic coding theory, algebraic aspects of cryptography.

• ### Database Management Systems: Chapter 3 - Algorithms for Query Processing and Optimization

Database Management Systems: Chapter 3 - Algorithms for Query Processing and Optimization Introduction to Query Processing; Translating SQL Queries into Relational Algebra; Algorithms for External Sorting; Algorithms for SELECT and JOIN Operations;...

• ### Improve efficiency of fuzzy association rule using hedge algebra approach

This paper proposes a method for mining fuzzy association rules using compressed database. We also use the approach of Hedge Algebra (HA) to build the membership function for attributes instead of using the normal way of fuzzy set theory. This approach allows us to explore fuzzy association rules through a relatively simple algorithm which is faster in terms of time, but it still brings association rules which are as good as the classical algorithms for mining association rules.

• ### PROGRAMMING CHALLENGES

There are many distinct pleasures associated with computer programming. Craftsmanship has its quiet rewards, the satisfaction that comes from building a useful object and making it work. Excitement arrives with the flash of insight that cracks a previously intractable problem. The spiritual quest for elegance can turn the hacker into an artist. There are pleasures in parsimony, in squeezing the last drop of performance out of clever algorithms and tight coding.

• ### Mathematics and Its History, Third Edition

The aim of this book, announced in the first edition, is to give a bird’seye view of undergraduate mathematics and a glimpse of wider horizons. The second edition aimed to broaden this view by including new chapters on number theory and algebra, and to engage readers better by including many more exercises. This third (and possibly last) edition aims to increase breadth and depth, but also cohesion, by connecting topics that were previously strangers to each other, such as projective geometry and finite groups, and analysis and combinatorics....

• ### A CLASSICAL INTRODUCTION TO CRYPTOGRAPHY EXERCISE BOOK

As a companion book of Vaudenay's A Classical Introduction to Cryptography, this exercise book contains a carefully revised version of most of the material used in teaching by the authors or given as examinations to the undergraduate students of the Cryptography and Security lecture at EPFL from 2000 to mid-2005. It covers a majority of the subjects that make up today's cryptology, such as symmetric or public-key cryptography, cryptographic protocols, design, cryptanalysis, and implementation of cryptosystems....

• ### Computer Vision Algorithms in Image Algebra by Gerhard X. Ritter; Joseph N. Wilson CRC

Tham khảo sách 'computer vision algorithms in image algebra by gerhard x. ritter; joseph n. wilson crc', kỹ thuật - công nghệ, tự động hoá phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả

• ### Internet Security Cryptographic Principles, Algorithms and Protocols Man Young Rhee

Knowledge of number theory and abstract algebra are pre–requisites for any engineer designing a secure internet–based system. However, most of the books currently available on the subject are aimed at practitioners who just want to know how the various tools available on the market work and what level of security they impart. These books traditionally deal with the science and mathematics only in so far as they are necessary to understand how the tools work. I

• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 1

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• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 4

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• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 5

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• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 7

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• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 10

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• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 13

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• ### ROBOTICS Handbook of Computer Vision Algorithms in Image Algebra Part 14

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