This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.
The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems. * Developed by award-winning researchers and authors * Provides a rigorous yet ...
This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students.
This book combines much of the material found in a traditional course on ordinary differential equations with an introduction to the more modern theory of dynamical systems.
This book provides an introduction to the interplay between linear algebra and dynamical systems in continuous time and in discrete time.
This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students.
The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations.
The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs.
Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more.
This text is designed for those who wish to study mathematics beyond linear algebra but are unready for abstract material.