Differential calculus and equations

By making use of the principles of systems science, the scientific community can explain many complicated matters of the world and shed new light on unsettled problems.

Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles.

The Hinfinity control has been one of the important robust control approaches since the 1980s.

This book is a comprehensive collection of known results about the Lozi map, a piecewise-affine version of the Henon map.

Explore Theory and Techniques to Solve Physical, Biological, and Financial Problems Since the first edition was published, there has been a surge of interest in stochastic partial differential equations (PDEs) driven by the Levy type of noise.

Weakly Connected Nonlinear Systems: Boundedness and Stability of Motion provides a systematic study on the boundedness and stability of weakly connected nonlinear systems, covering theory and applications previously unavailable in book form.

The equations used to describe dynamic properties of physical systems are often nonlinear, and it is rarely possible to find their solutions.

A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs).

Everything You Need to Know about Mathematics for Science and EngineeringUpdated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers.

Presenting diffusion and mass transfer from both engineering and fundamental science perspectives, this book offers a comprehensive summary of the theory and applies that theory to obtain detailed solutions to a wide variety of problems.

This book defines and investigates the concept of a random object.

Beneficial to both beginning students and researchers, Asymptotic Analysis and Perturbation Theory immediately introduces asymptotic notation and then applies this tool to familiar problems, including limits, inverse functions, and integrals.

Covers ODEs and PDEs-in One TextbookUntil now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn't exist.

This book defines and investigates the concept of a random object.

With special emphasis on engineering and science applications, this textbook provides a mathematical introduction to the field of partial differential equations (PDEs).

A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications.

This book presents a detailed development of the divergence theorem.

Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems.

The Italian school of Mathematical Analysis has long and glo- rious traditions.

The calculus has been one ofthe areas of mathematics with a large number of significant applications since its formal development in the seventeenth century.

Mathematicians often face the question to which extent mathematical models describe processes of the real world.

The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations.

This book provides an upto date information on metric, connection and curva- ture symmetries used in geometry and physics.

In volume I we developed the tools of "e;Multivalued Analysis.

Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays.

Proceedings of a conference held in Santa Barbara, California, May 20-22, 1993

In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators.

The new series, International Mathematical Series founded by Kluwer / Plenum Publishers and the Russian publisher, Tamara Rozhkovskaya is published simultaneously in English and in Russian and starts with two volumes dedicated to the famous Russian mathematician Professor Olga Aleksandrovna Ladyzhenskaya, on the occasion of her 80th birthday.

This book provides a complete and exhaustive study of the Green's functions.

This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study.

Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems.

Computational Techniques for the Summation of Series is a text on the representation of series in closed form.

This book considers signal processing and physical modeling meth- ods for sound synthesis.

At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies.

Lectori salutem!

This textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods.

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Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging , nondestructive testing and geophysical exploration.

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This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties.

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Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments.

This book presents as its main subject new models in mathematical neuroscience.

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This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces.