Calculus and mathematical analysis

As the editors of this volume we are very happy to publish a selection of the papers that were presented at the seventh Conference of Working Group 3.

Banach algebras are Banach spaces equipped with a continuous multipli- tion.

This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs.

Mathematicsisplayinganevermoreimportantroleinthephysicalandbiol- ical sciences, provoking a blurring of boundaries between scienti?

Introductory Probability is a pleasure to read and provides a fine answer to the question: How do you construct Brownian motion from scratch, given that you are a competent analyst?

Thesubjectofthisbookisthenested partitions method(NP),arelativelynew optimization method that has been found to be very e?

The foreign exchange market is one of the most complex dynamic markets with the characteristics of high volatility, nonlinearity and irregularity.

This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors.

There has been dramatic growth in the development and application of Bayesian inference in statistics.

Ordinary di?

Recent results in local convergence and semi-local convergence analysis constitute a natural framework for the theoretical study of iterative methods.

This book aims to give a complete and self-contained presentation of semi- Markov models with finitely many states, in view of solving real life problems of risk management in three main fields: Finance, Insurance and Reliability providing a useful complement to our first book (Janssen and Manca (2006)) which gives a theoretical presentation of semi-Markov theory.

Since their emergence in the early 1950s, ?

One of the fundamental questions of Banach space theory is whether every Banach space has a basis.

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations.

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.

Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds.

Stability and Optimization of Structures: Generalized Sensitivity Analysis is the first book to address issues of structural optimization against nonlinear buckling.

This interdisciplinary book presents numerical techniques needed for chemical and biological engineers using Matlab.

The title gives a reasonable ?

Sequential Dynamical Systems (SDS) are a class of discrete dynamical systems which significantly generalize many aspects of systems such as cellular automata, and provide a framework for studying dynamical processes over graphs.

Our motivation for writing this book is twofold: First, the theory of waves propagating in randomly layered media has been studied extensively during the last thirty years but the results are scattered in many di?

"e;This book is an account of the theory of Hardy spaces in one dimension, with emphasis on some of the exciting developments of the past two decades or so.

This textbook is intended for students who wish to obtain an introduction to the theory of partial di?

Teaching or learning numerical methods in applied mathematics cannot be conceived nowadays without numerical experimentation on computers.

Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

This IMA Volume in Mathematics and its Applications Wireless Communications contains papers based on invited lectures at the very successful IMA Sum- mer Program on Wireless Communications, held on June 22 - July 1, 2005.

Perturbation theory and in particular normal form theory has shown strong growth during the last decades.

Over the years, a number of books have been written on the theory of functional equations.

Computer Science and Operations Research continue to have a synergistic relationship and this book represents the results of cross-fertilization between OR/MS and CS/AI.

The great mathematician G.

Over the past decade there has been an explosion of developments in mixed e?

Constructal Theory of Social Dynamics brings together for the first time social scientists and engineers to develop a predictive theory of social organization, as a conglomerate of mating flows that morph in time to flow more easily (people, goods, money, energy, information).

It is widely recognized, by the scienti?

The world is continuous, but the mind is discrete.