Applied mathematics

This is a book of an international series on interdisciplinary topics of the Mathematical and Biological Sciences.

Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music.

This book will give readers the possibility of finding very important mathematical tools for working with fractional models and solving fractional differential equations, such as a generalization of Stirling numbers in the framework of fractional calculus and a set of efficient numerical methods.

Change of Time and Change of Measure provides a comprehensive account of two topics that are of particular significance in both theoretical and applied stochastics: random change of time and change of probability law.

There are several subjects in analysis that are frequently used in applied mathematics, theoretical physics and engineering sciences, such as complex variable, ordinary differential equations, special functions, asymptotic methods, integral transforms and distribution theory.

This textbook is written as an accessible introduction to interest rate modeling and related derivatives, which have become increasingly important subjects of interest in financial mathematics.

New Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology.

This unique book provides a comprehensive introduction to computational mathematics, which forms an essential part of modern numerical algorithms and scientific computing.

Latest Edition: Linear Mathematical Models in Chemical Engineering (2nd Edition)Understanding the mathematical modeling of chemical processes is fundamental to the successful career of a researcher in chemical engineering.

This book provides a broad description of the financial derivatives business from a practitioner's point of view, with a particular emphasis on fixed income derivatives, a specific development on fixed income derivatives and a practical approach to the field.

This textbook provides an introduction to financial mathematics and financial engineering for undergraduate students who have completed a three or four semester sequence of calculus courses.

Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences.

New Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 20 years, making a big impact on science and technology.

This book provides a good introduction to modern computational methods for Partial Differential Equations in Mechanics.

This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems.

This book deals with analytic problems related to some developments and generalizations of the Boltzmann equation toward the modeling and qualitative analysis of large systems that are of interest in applied sciences.

New Edition: The Nonlinear Workbook (6th Edition)The study of nonlinear dynamical systems has advanced tremendously in the last 15 years, making a big impact on science and technology.

This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view.

This book presents the general theory and basic methods of linear and nonlinear stochastic systems (StS) i.

The Wiener Wintner ergodic theorem is a strengthening of Birkhoff pointwise ergodic theorem.

As an empirical science, economics employs theoretical models to describe economic phenomena and processes.

This invaluable textbook creates a general framework for the study of optimal iterative procedures for problems that are solved approximately.

This book discusses systematically treatment on the development of stochastic, statistical and state space models of the HIV epidemic and of HIV pathogenesis in HIV-infected individuals, and presents the applications of these models.

This book introduces the reader to the two main directions of one-dimensional dynamics.

The theory of 2-structures provides a convenient framework for decomposition and transformation of mathematical systems where one or several different binary relationships hold between the objects of the system.

This invaluable book presents a comprehensive introduction to bifurcation theory in the presence of symmetry, an applied mathematical topic which has developed considerably over the past twenty years and has been very successful in analysing and predicting pattern formation and other critical phenomena in most areas of science where nonlinear models are involved, like fluid flow instabilities, chemical waves, elasticity and population dynamics.

This book covers substantially the central ideas of a one semester course in automata theory.

This textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields.

Nonlinearities exist in all process control systems.

The idea of form is one of the most fundamental concepts underlying all of the sciences.

NewsProfessor Cheng-Few Lee ranks #1 based on his publications in the 26 core finance journals, and #163 based on publications in the 7 leading finance journals (Source: Most Prolific Authors in the Finance Literature: 1959-2008 by Jean L Heck and Philip L Cooley (Saint Joseph's University and Trinity University).

Nonlinear optics has been a rapidly growing field in recent decades.

This is the first book to cover comprehensively the mathematical theory of nonblocking switching networks since Benes' book published 30 years ago.

This book presents the subject of integral equations in an accessible manner for a variety of applications.

This book provides a clear, understandable, and motivated account on the subject that spans both conventional and modern materials about discrete event systems, material that, up to now, has been presented in the literature in different fields, such as the graph theory, the probability theory, the automata's theory, and the queueing theory.

Graphs are extremely useful in modeling systems in physical sciences and engineering problems, because of their intuitive diagrammatic nature.

This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium.

This monograph aims to fill a void by making available a source book which first systematically describes all the available uniqueness and nonuniqueness criteria for ordinary differential equations, and compares and contrasts the merits of these criteria, and second, discusses open problems and offers some directions towards possible solutions.

This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case.

This is one of the first books presenting stabilizability of nonlinear systems in a well-organized and detailed way, the problem, its motivation, features and results.

In this book, distributions are introduced via sequences of functions.

This book presents applications to several fluid dynamics problems in both the bounded and unbounded domains in the framework of the discrete velocity models of kinetic theory.

Classical optimization methodologies fall short in very large and complex domains.

The theory of soliton equations and integrable systems has developed rapidly during the last 20 years with numerous applications in mechanics and physics.

This book presents the conceptional line which goes from the observation of physical systems to their modeling and analysis by ordinary differential nonlinear stochastic equations.

This book aims to present an overview of stochastic system reliability modeling for undergraduate and graduate students, engineers and researchers.

This unique text presents the new domain of consistent non-linear counterparts for all basic objects and tools of linear algebra, and develops an adequate calculus for solving non-linear algebraic and differential equations.

Most introductory textbooks on stochastic processes which cover standard topics such as Poisson process, Brownian motion, renewal theory and random walks deal inadequately with their applications.

This textbook provides an introduction to statistics for computer users or computer science undergraduates.