Differential calculus and equations

Combines a systematic analysis of bifurcations of iterated maps with concrete MATLAB® implementations and applications.

With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

With this hands-on introduction readers will learn what SDEs are all about and how they should use them in practice.

Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

A modern introduction to synchronization phenomena, combining the development of deep mathematical concepts with illustrative examples and practical applications.

Treats the origin of magnetic fields in planets, stars and galaxies, and the manner of their evolution over time.

Presents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.

Presents a unified treatment of stochastic differential equations in abstract, mainly Hilbert, spaces.

A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises.

A leading authority on orthogonal polynomials details their relationships with Painlevé equations with clear proofs, examples, and exercises.

A selection of survey articles and original research papers in mathematical fluid mechanics, for both researchers and graduate students.

Exploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs).

Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

An easy to understand guide covering key principles of ordinary differential equations and their applications.

The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.

This advanced monograph is concerned with modern treatments of central problems in harmonic analysis.

This advanced monograph is concerned with modern treatments of central problems in harmonic analysis.

Provides a novel interdisciplinary perspective on the state of the art of ultrametric pseudodifferential equations and their applications.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

The first systematic account of the Dirichlet space, one of the most fundamental Hilbert spaces of analytic functions.

This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models of complex systems.

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.

Provides graduate students and practitioners in physics and economics with a better understanding of stochastic processes.

Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.

Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

Periodic differential equations appear in many contexts such as in the theory of nonlinear oscillators, in celestial mechanics, or in population dynamics with seasonal effects.

First of a two-volume treatise on deterministic control systems modeled by multi-dimensional partial differential equations, originally published in 2000.

A self-contained comprehensive introduction to the mathematical theory of dynamical systems for students and researchers in mathematics, science and engineering.

A comprehensive introduction to modern applied functional analysis.

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

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.