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Mathematics and Computer Science II: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics)
Mathematics and Computer Science II: Algorithms, Trees, Combinatorics and Probabilities (Trends in Mathematics)

This is the second volume in a series of innovative proceedings entirely devoted to the connections between mathematics and computer science. Here mathematics and computer science are directly confronted and joined to tackle intricate problems in computer science with deep and innovative mathematical approaches.

The book...

Separable Type Representations of Matrices and Fast Algorithms: Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms (Operator Theory: Advances and Applications)
Separable Type Representations of Matrices and Fast Algorithms: Volume 1 Basics. Completion Problems. Multiplication and Inversion Algorithms (Operator Theory: Advances and Applications)
This two-volume work presents a systematic theoretical and computational study of several types of generalizations of separable matrices. The main attention is paid to fast algorithms (many of linear complexity) for matrices in semiseparable, quasiseparable, band and companion form. The work is focused on algorithms of multiplication, inversion...
An Introduction to Quantum Computing Algorithms
An Introduction to Quantum Computing Algorithms
In 1994 Peter Shor [65] published a factoring algorithm for a quantum computer that finds the prime factors of a composite integer N more efficiently than is possible with the known algorithms for a classical com­ puter. Since the difficulty of the factoring problem is crucial for the se­ curity of a public key encryption system,...
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...

Functional Analysis Methods for Reliability Models (Pseudo-Differential Operators)
Functional Analysis Methods for Reliability Models (Pseudo-Differential Operators)
People are often concerned with the reliability of products they use and of the friends and associates with whom they interact daily in a myriad of ways. Although the term “reliability” may not occur in the description of a given product or interaction, it is often the attribute that the individual means in expression of...
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...

An Introduction to Tensors and Group Theory for Physicists
An Introduction to Tensors and Group Theory for Physicists

The second edition of this highly praised textbook provides an introduction to tensors, group theory, and their applications in classical and quantum physics. Both intuitive and rigorous, it aims to demystify tensors by giving the slightly more abstract but conceptually much clearer definition found in the math literature, and then connects...

Algorithms and Programming: Problems and Solutions (Modern Birkhäuser Classics)
Algorithms and Programming: Problems and Solutions (Modern Birkhäuser Classics)
Somebody once said that one may prove the correctness of an algorithm, but not of a program. One of the main goals of this book is to convince the reader that things are not so bad.

A well-known programmer, C.A.R. Hoare, said that the beauty of a program is not an additional benefit but a criterion that separates success from failure.
...
Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)
Spacetime, Geometry and Gravitation (Progress in Mathematical Physics)

Teaching Einstein’s general relativity at introductory level poses problems because students cannot begin to appreciate the basics of the theory unless they learn a sufficient amount of Riemannian geometry. Most elementary books take the easy course of telling the students a few working rules stripping the mathematical details to a minimum...

Software Agent-Based Applications, Platforms and Development Kits (Whitestein Series in Software Agent Technologies)
Software Agent-Based Applications, Platforms and Development Kits (Whitestein Series in Software Agent Technologies)
This book introduces major agent platforms, frameworks, systems, tools, and applications. Each system is described by their developers in sufficient detail so that the reader can get a good understanding of the architecture, functionality, and application areas of the system. All systems are running systems. One main focus of the book lies on agent...
Transport Equations in Biology (Frontiers in Mathematics)
Transport Equations in Biology (Frontiers in Mathematics)
This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement. Its purpose is to derive appropriate mathematical tools and qualitative properties of the solutions (long time behavior,...
The Agent Modeling Language - AML: A Comprehensive Approach to Modeling Multi-Agent Systems
The Agent Modeling Language - AML: A Comprehensive Approach to Modeling Multi-Agent Systems
Multi-agent systems are already a focus of studies for more than 25 years. Despite substantial effort of an active research community, modeling of multi-agent systems still lacks complete and proper definition, general acceptance, and practical application. Due to the vast potential of these systems e.g. to improve the practice in software and to...
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