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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...
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...

A Beginner's Guide to Graph Theory
A Beginner's Guide to Graph Theory

Concisely written, gentle introduction to graph theory suitable as a textbook or for self-study

Graph-theoretic applications from diverse fields (computer science, engineering, chemistry, management science)

2nd ed. includes new chapters on labeling and communications networks and small worlds, as well as expanded...

Advances in Dynamic Games: Theory, Applications, and Numerical Methods
Advances in Dynamic Games: Theory, Applications, and Numerical Methods

This contributed volume focuses on aspects of dynamic game theory including differential games, evolutionary games, and stochastic games. It covers theoretical developments, algorithmic methods, and applications to fields as varied as mathematical biology, environmental management, economics, engineering, guidance and control, and social...

Magic Graphs
Magic Graphs

Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into...

Optimization, Control, and Applications of Stochastic Systems: In Honor of Onésimo Hernández-Lerma (Systems & Control: Foundations & Applications)
Optimization, Control, and Applications of Stochastic Systems: In Honor of Onésimo Hernández-Lerma (Systems & Control: Foundations & Applications)

This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation...

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...

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....
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.
...
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,...
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