Differential calculus and equations

Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.

A Bayesian treatment of the state-of-the-art filtering, smoothing, and parameter estimation algorithms for non-linear state space models.

This book contains details of the properties that satisfy certain function spaces and vector-valued distributions defined in the n-dimensional torus.

El libro ¿Cómo llegar a ser un aprendiz estratégico de Cálculo Diferencial?

Por razones de carácter didáctico, este texto se ha organizado en tres bloques y dos apéndices.

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

This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.

This rigorous undergraduate introduction to dynamical systems is an accessible guide for mathematics students advancing from calculus.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

This second edition explores the relationship between elliptic and parabolic initial boundary value problems, for undergraduate and graduate students.

A practical and concise guide to finite difference and finite element methods.

A practical and concise guide to finite difference and finite element methods.

This volume bridges the gap between a first-year graduate logic course and research papers in stability theory.

This book introduces first order stability theory, organized around the spectrum problem, with complete proofs of the Vaught conjecture for ω-stable theories.

An accessible treatment of the main results in the mathematical theory of the Navier–Stokes equations, primarily aimed at graduate students.

Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject.

Introduces nonlinear dispersive partial differential equations in a detailed yet elementary way without compromising the depth and richness of the subject.

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

An accessible summary of a wide range of active research topics written by leaders in their field, including exciting new results.

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.

A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

A range of experts contribute introductory-level lectures on active topics in the theory of water waves.

Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.

Presents the classical theory of convergence of semigroups and looks at how it applies to real-world phenomena.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.

A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.

Presents powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities.

Presents powerful methods for dealing with singularities in elliptic and parabolic partial differential inequalities.

A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.

A comprehensive description of the Lyapunov exponent tools from basic to advanced levels, with practical applications for complex systems.

Presents the state of the art in the theory of ridge functions, providing a solid theoretical foundation.

This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

A monograph containing significant new developments in the theory of reaction-diffusion systems, particularly those arising in chemistry and life sciences.

A unique probabilistic approach to studying pattern matching problems in computer science, telecommunications, molecular biology and more.