Differential calculus and equations

This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students.

Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited.

An essential companion to M.

A classic treatment of partial differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them.

This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian.

Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978.

This book discusses some aspects of the theory of partial differential equations from the viewpoint of probability theory.

Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.

A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

A classic treatment of existence theorems in partial differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Solomon Lefschetz's classic lectures on differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well.

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This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations.

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place.

This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems.

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis.

Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations.

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Holder.

This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view.

An essential introduction to the analysis and verification of control system softwareThe verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive.

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics.

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.

The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level.

Have you ever wondered why, despite their adorable exterior, rabbits haven't taken over the world?

Este es un manual basico y breve, de lectura asequible y en el que se desarrollan con concision, pero con el debido rigor y la necesaria claridad, los conocimientos basicos de la asignatura.

Este libro constituye el tercer volumen de la serie "Matemáticas para Ingeniería", que se centra en el cálculo diferencial e integral de funciones de varias variables, además del cálculo vectorial.

Las ecuaciones diferenciales nos permiten comprender la dinamica del mundo que nos rodea en nuestra vida cotidiana: desde el movimiento de los planetas en el espacio hasta el flujo de liquidos.

Las leyes de conservación son generalmente usadas en modelos que involucran principios de conservación (leyes físicas), tales como conservación de masa, momento lineal y de energía.

Esta obra le permite al estudiante aprender los conceptos básicos de la física con un mínimo de conocimiento del cálculo diferencial, así como comprender, afianzar y aplicar los conceptos de física mecánica que se requieren en las asignaturas de ciencias propias de la ingeniería.

En este documento se recopilan los resultados obtenidos en el proyecto de investigacion E3-21-1 del ano 2021, que fue financiado por la Vicerrectoria de Investigacion, Innovacion y Extension de la Universidad Tecnologica de Pereira, con el soporte del grupo de investigacion de ecuaciones diferenciales y aplicaciones (GREDYA).

Este libro es un compendio del trabajo de los ultimos seis anos y los modelos matematicos tienen en comun dos cosas: singularidades no lineales y coeficientes periodicos, se entiende por singularidad el limite al infinito del termino no lineal cuando la variable de estado se acerca a un punto.

Behind every important scientific discovery there is an equation.

100 solved exercises: first-degree equations—Through practice, not theory!

Este libro esta dirigido a los estudiantes que se inician en el Calculo Diferencial e Integral, tanto a aquellos que necesitan sobre todo un aprendizaje practico (Escuelas Tecnicas y Ciencias Aplicadas), como a los que requieren un conocimiento mas teorico y profundo.

Introduccion a la teoria y aplicaciones de las Ecuaciones en Derivadas parciales, utiles para predecir el comportamiento de la naturaleza.

Handbook of Differential Equations: Evolutionary Equations is the last text of a five-volume reference in mathematics and methodology.

A Modern Introduction to Differential Equations, Second Edition, provides an introduction to the basic concepts of differential equations.

This book contains several introductory texts concerning the main directions in the theory of evolutionary partial differential equations.

Multivariate polysplines are a new mathematical technique that has arisen from a synthesis of approximation theory and the theory of partial differential equations.

This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience.

The book contains a systematic treatment of the qualitative theory of elliptic boundary value problems for linear and quasilinear second order equations in non-smooth domains.

Boundary Value Problems, Sixth Edition, is the leading text on boundary value problems and Fourier series for professionals and students in engineering, science, and mathematics who work with partial differential equations.

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems.

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds.