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| Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their... A thorough, systematic first course in elementary differential equations for undergraduates in mathematics and science, requiring only basic...
A graduate-level text utilizing exterior differential forms in the analysis of a variety of mathematical problems in the physical and... Superb, self-contained graduate-level text covers standard theorems concerning linear systems, existence and uniqueness of solutions, and...
Few books on Ordinary Differential Equations (ODEs) have the elegant geometric insight of this one, which puts emphasis on the qualitative... This rigorous treatment prepares readers for the study of differential equations and shows them how to research current literature. It...
For students not conversant with the required complex analysis, review material has been supplied throughout the text. In addition, each... This important book provides a concise exposition of the basic ideas of the theory of distribution and Fourier transforms and its...
The author discusses symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and...
This book introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated... This book is mainly devoted to the combinatorics of quadratic holomorphic dynamics. The conceptual kernel is a self-contained abstract...
These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. There are three approaches... After publishing an introduction to the Navier-Stokes equation and oceanography (Vol. 1 of this series), Luc Tartar follows with another set...
This book presents the basic methods of regular perturbation theory of Hamiltonian systems in an accessible fashion. It discusses all main... Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in essence, lends...
Providing readers with a solid basis in dynamical systems theory, as well as explicit procedures for application of general mathematical... This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research...
Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first... In this undergraduate/graduate textbook, the authors introduce ODEs and PDEs through 50 class-tested lectures. Mathematical concepts are...
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