Calculus and mathematical analysis

In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems.

In this book we generate graphic images using the software Mathematica thus providing a gentle and enjoyable introduction to this rather technical software and its graphic capabilities.

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach { the most outstanding representative of the Lviv mathematical school.

The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems.

Boundary Value Problems, Fifth Edition, is the leading text on boundary value problems and Fourier series.

Every finance professional wants and needs a competitive edge.

Every finance professional wants and needs a competitive edge.

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies.

This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications.

This book highlights a comprehensive introduction to the principles and calculation methods of computational optical imaging.

Difference equations appear as natural descriptions of observed evolution phenomena because most measurements of time evolving variables are discrete.

The concept of equilibrium plays a central role in various applied sciences, such as physics (especially, mechanics), economics, engineering, transportation, sociology, chemistry, biology and other fields.

This book highlights a comprehensive introduction to the principles and calculation methods of computational optical imaging.

Volume 5 presents recent research on both planar lipid bilayers and liposomes based on their historic and experimental realization.

Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially.

The material collected in this volume reflects the active present of this area of mathematics, ranging from the abstract theory of gradient flows to stochastic representations of non-linear parabolic PDE's.

Employ the essential and hands-on tools and functions of MATLAB's ordinary differential equation (ODE) and partial differential equation (PDE) packages, which are explained and demonstrated via interactive examples and case studies.

The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations.

This handbook is volume III in a series devoted to stationary partial differential quations.

This handbook is the third volume in a series of volumes devoted to self contained and up-to-date surveys in the tehory of ordinary differential equations, written by leading researchers in the area.

This book gives the reader a survey of hundreds results in the field of the cell and cell associated objects modeling.

The book presents the recent achievements on bifurcation studies of nonlinear dynamical systems.

Many large mathematical models, not only models arising and used in environmental studies, are described by systems of partial differential equations.

This book introduces the method of lower and upper solutions for ordinary differential equations.

This book is a unique blend of difference equations theory and its exciting applications to economics.

This book is devoted to an important branch of the dynamical systems theory : the study of the fine (fractal) structure of Poincare recurrences -instants of time when the system almost repeats its initial state.

Cutting-edge mathematical tools are used in this treatment of recent developments in geometric inverse problems.

This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time.

This book is a collection of eleven articles, written by leading experts and dealing with special topics in Multivariate Approximation and Interpolation.

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains.

It has widely been recognized that submodular functions play essential roles in efficiently solvable combinatorial optimization problems.

The aim of this Handbook is to acquaint the reader with the current status of the theory of evolutionary partial differential equations, and with some of its applications.

The book presents a systematic and compact treatment of the qualitative theory of half-lineardifferential equations.

This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, writtenby leading researchers in the area.

A collection of self contained, state-of-the-art surveys.

A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.

This advanced textbook introduces the main concepts and advances in systems and control theory, and highlights the importance of geometric ideas in the context of possible extensions to the more recent developments in nonlinear systems theory.

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018.

This volume gives a state of the art of triangular norms which can be used for the generalization of several mathematical concepts, such as conjunction, metric, measure, etc.

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.

The book addresses many important new developments in the field.

This volume brings together former students, colleagues, and others influenced by the sociological scholarship of Archibald O.

This book collects 10 mathematical essays on approximation in Analysis and Topology by some of the most influent mathematicians of the last third of the 20th Century.

This thesis addresses a novel application of network modelling methodologies to power transformers.

This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning - the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series.

For more than forty years, the equation y'(t) = Ay(t) + u(t) in Banach spaces has been used as model for optimal control processes described by partial differential equations, in particular heat and diffusion processes.

Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis.

This book presents an in-depth study of the discrete nonlinear Schrodinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions.

This two-volume book offers a comprehensive treatment of the probabilistic approach to mean field game models and their applications.

Dealing with general problems in fluid mechanics, convection diffusion, compressible and incompressible laminar and turbulent flow, shallow water flows and waves, this is the leading text and reference for engineers working with fluid dynamics in fields including aerospace engineering, vehicle design, thermal engineering and many other engineering applications.