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Mathematics for the Analysis of Algorithms
Mathematics for the Analysis of Algorithms

"The book presents a welcome selection and careful exposition of material that can be (and is) covered in a single course...In this reviewer's opinion, this would be an interesting text to use with a group of advanced students well-grounded in undergraduate mathematics and computer science, and would produce a valuable course for the...

Geometric Problems on Maxima and Minima
Geometric Problems on Maxima and Minima
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a...
The Math Problems Notebook
The Math Problems Notebook
The Math Problems Notebook is a collection of nontrivial, unconventional problems requiring deep insight and imagination reminiscent of those discussed at Sunday Math Circles. These circles have become a place for disseminating beautiful mathematics at an elementary level for college students who have a common passion for mathematics....
Prime Numbers and Computer Methods for Factorization (Modern Birkhäuser Classics)
Prime Numbers and Computer Methods for Factorization (Modern Birkhäuser Classics)

From the original hard cover edition:In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large...

Contemporary Cryptology (Advanced Courses in Mathematics - CRM Barcelona)
Contemporary Cryptology (Advanced Courses in Mathematics - CRM Barcelona)
In February 2004, at the Universitat Polit`ecnica de Catalunya, we presented a 45-hour Advanced Course on Contemporary Cryptology, organised by the Centre de Recerca Matem`atica. This volume is an expanded and unified version of the material presented in the lectures and the background material that we distributed among the...
Constraint Satisfaction Techniques for Agent-Based Reasoning
Constraint Satisfaction Techniques for Agent-Based Reasoning

An important aspect of multi agent systems are agent reasoning techniques for problem solving, either at the level of a single agent or at the level of distributed collaboration amongst multiple agents.

Constraint Satisfaction Problems (CSP) prove to be a generic framework which can be applied for modeling and solving a wide range...

A Linear Systems Primer
A Linear Systems Primer

Based on a streamlined presentation of the authors' successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and...

Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)
Fourier Analysis on Finite Abelian Groups (Applied and Numerical Harmonic Analysis)

Fourier analysis has been the inspiration for a technological wave of advances in fields such as imaging processing, financial modeling, algorithms and sequence design. This unified, self-contained book examines the mathematical tools used for decomposing and analyzing functions, specifically, the application of the [discrete] Fourier transform...

Elementary Functions: Algorithms and Implementation
Elementary Functions: Algorithms and Implementation
"An important topic, which is on the boundary between numerical analysis and computer science…. I found the book well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find. Moreover, there are very few books on these topics and they are...
Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona)
Group-based Cryptography (Advanced Courses in Mathematics - CRM Barcelona)

This book is about relations between three different areas of mathematics and theoretical computer science: combinatorial group theory, cryptography, and complexity theory. It is explored how non-commutative (infinite) groups, which are typically studied in combinatorial group theory, can be used in public key cryptography. It is also shown...

104 Number Theory Problems: From the Training of the USA IMO Team
104 Number Theory Problems: From the Training of the USA IMO Team
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas,...
Introduction to Stochastic Integration (Modern Birkhäuser Classics)
Introduction to Stochastic Integration (Modern Birkhäuser Classics)

A highly readable introduction to stochastic integration and stochastic differential equations, this book combines developments of the basic theory with applications. It is written in a style suitable for the text of a graduate course in stochastic calculus, following a course in probability.

Using the modern approach, the...

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