Differential calculus and equations

INTRODUCTORY APPLICATIONS OF PARTIAL DIFFERENTIAL EQUATIONS With Emphasis on Wave Propagation and Diffusion This is the ideal text for students and professionals who have somefamiliarity with partial differential equations, and who now wishto consolidate and expand their knowledge.

Advances in computer technology have conveniently coincided withtrends in numerical analysis toward increased complexity ofcomputational algorithms based on finite difference methods.

A valuable guide covering the key principles of partial differential equations and their real world applications.

The second volume of an extensive update of the Bateman Manuscript Project discusses multivariable special functions.

Contains graduate-level introductions by international experts to five areas of research in orthogonal polynomials and special functions.

The first thorough synthesis of methods for solving time-domain scattering problems, covering both theoretical and computational aspects.

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

A systematic introduction to the singularly perturbed methods in the study of concentration solutions for nonlinear elliptic problems.

This introduction to the few-body problem progresses from two-body motion and classical planetary dynamics to modern numerical methods.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

Extensive update of the Bateman Manuscript Project.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

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.