Mathematics

Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry.

This book provides an introduction to the mathematical modelling of real world financial markets and the rational pricing of derivatives, which is part of the theory that not only underpins modern financial practice but is a thriving area of mathematical research.

Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry.

Matrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer's toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis.

Stochastic Recursive Algorithms for Optimization presents algorithms for constrained and unconstrained optimization and for reinforcement learning.

In his rich and varied career as a mathematician, computer scientist, and educator, Jacob T.

Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly.

During the 21st century business environments have become more complex and dynamic than ever before.

This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universite Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics.

Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry.

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications.

Probabilistic Group Theory, Combinatorics and Computing is based on lecture courses held at the Fifth de Brun Workshop in Galway, Ireland in April 2011.

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations.

Congestion Control in Data Transmission Networks details the modeling and control of data traffic in communication networks.

Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science.

This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students.

Stochastic Averaging and Extremum Seeking treats methods inspired by attempts to understand the seemingly non-mathematical question of bacterial chemotaxis and their application in other environments.

This book is based on lectures I have given to senior undergraduate and graduate audiences at Oxford and elsewhere over the years.

The geometry of the hyperbolic plane has been an active and fascinating field of mathematical inquiry for most of the past two centuries.

Self-organizing maps (SOM) have proven to be of significant economic value in the areas of finance, economic and marketing applications.

Iterative Methods for Queuing and Manufacturing Systems introduces the recent advances and developments in iterative methods for solving Markovian queuing and manufacturing problems.

This book is intended as an introduction to the theory of tensor products of Banach spaces.

Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics.

Efficient Methods for Valuing Interest Rate Derivatives provides an overview of the models that can be used for valuing and managing interest rate derivatives.

Statistical Inference for Ergodic Diffusion Processes encompasses a wealth of results from over ten years of mathematical literature.

Since its introduction in the early 1980s, the risk-neutral valuation principle has proved to be an important tool in the pricing and hedging of financial derivatives.

An extended survey of methods for the control and systems identification in gas turbines, this book reviews current methods and presents a number of new perspectives.

Learning and Generalization provides a formal mathematical theory addressing intuitive questions of the type: How does a machine learn a concept on the basis of examples?

The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering.

We hope this book will make the bewildering variety of methods for estimat- ing the abundance of animal populations more accessible to the uninitiated and more coherent to the cogniscenti.

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood.

Directly oriented towards real practical application, this book develops both the basic theoretical framework of extreme value models and the statistical inferential techniques for using these models in practice.

Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria.

This book provides an introduction to the ideas and methods of linear func- tional analysis at a level appropriate to the final year of an undergraduate course at a British university.

H-infinity control theory deals with the minimization of the H-infinity-norm of the transfer matrix from an exogenous disturbance to a pertinent controlled output of a given plant.

The central concepts in this book are Lebesgue measure and the Lebesgue integral.

Written by Nick Bingham, Chairman and Professor of Statistics at Birkbeck College, and Rudiger Kiesel, an "e;up-and-coming"e; academic, Risk Neutrality will benefit the Springer Finance Series in many ways.

Basic Linear Algebra is a text for first year students, working from concrete examples towards abstract theorems, via tutorial-type exercises.

This work is aimed at mathematics and engineering graduate students and researchers in the areas of optimization, dynamical systems, control sys- tems, signal processing, and linear algebra.

This book is aimed at undergraduate students embarking on the first year of a modular mathematics degree course.

This book is the proceedings of the Structures in Concurrency Theory workshop (STRICT) that was held from 11 th to l3th May 1995 in Berlin, Germany.

This textbook presents a practical introduction to the fundamental aspects of modelling and simulation.

This easy-to-read textbook/reference presents an essential guide to object-oriented C++ programming for scientific computing.

This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing.

A workshop to look at strategies, methods of implementation and evaluation of vocational training and Continuing Medical Education in General Practice was held in June 1990 in London.

At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common.

This book presents the state of the art in parallel numerical algorithms, applications, architectures, and system software.

Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks.