Differential calculus and equations

An introduction to one-dimensional dynamics for graduate students with novel connections to other areas of mathematics.

Second of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations.

University-level introduction that leads to topics of current research in the theory of harmonic maps.

A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.

This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

This book reflects the strong connection between calculus of variations and the applications for which variational methods form the foundation.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by differential delay equations.

This monograph serves as a much-needed, self-contained reference on the topic of modulation spaces.

This book will be useful for elementary courses in Partial Differential Equations for undergraduate programmes in pure and applied mathematics.

A detailed and unified treatment of $P$-adic differential equations, from the basic principles to the current frontiers of research.

Provides an account of fractional Sobolev spaces emphasising applications to famous inequalities.

A lively and engaging look at some of the ideas, techniques and elegant results of Fourier analysis, and their applications.

Ladyzhenskaya''s survey of her work on partial differential equations and dynamical systems, with a new technical introduction.

The first monograph on the theory of global attractors of Hamiltonian partial differential equations.

Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.

Discover a new approach to observing and controlling linear systems whose inputs and outputs are not fixed in advance.

Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations.

Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations.

Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students.

Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students.

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course.

This new book from one of the most published authors in all of mathematics is an attempt to offer a new, more modern take on the Differential Equations course.

Time delayed (lagged) variables are an inherent feature of biological/physiological systems.

Time delayed (lagged) variables are an inherent feature of biological/physiological systems.

This concise text is intended as an introductory course in measure and integration.

This concise text is intended as an introductory course in measure and integration.

As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community.

This book introduces the class of dynamical systems called semiflows, which includes systems defined or modeled by certain types of differential evolution equations (DEEs).

Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods.

The method of compensated compactness as a technique for studying hyperbolic conservation laws is of fundamental importance in many branches of applied mathematics.

Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary.

This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994.

The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997.

This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness.

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques.

This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations.

Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems.

Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary.

This book contains expository papers and articles reporting on recent research by leading world experts in nonstandard mathematics, arising from the International Colloquium on Nonstandard Mathematics held at the University of Aveiro, Portugal in July 1994.

The First Pan-China Conference on Differential Equations was held in Kunming, China in June of 1997.

This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness.

The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques.

This book provides a concise treatment of the theory of nonlinear evolutionary partial differential equations.

Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems.

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition.

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition.

Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms.

Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems.