Primarily a book on partial differential equations with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The book also has an extensive historical section and the material that can be called fractional cal...Lasīt vairāk
Proceedings from a Montreal program on quantum symmetries illuminate the connection between tensor categories and modern mathematical physics. Advanced lectures, research seminars, and an in-depth survey on W-algebras bridge topological and conforma...Lasīt vairāk
Symmetries are a common feature of real-world phenomena in many fields, including physics, biology, materials science, and engineering. They can help understand the behavior of a system and optimize engineering designs. Nonlinear effects such as del...Lasīt vairāk
This volume contains the proceedings of the virtual AMS Special Session on Equivariant Cohomology, held March 19-20, 2022. Equivariant topology is the algebraic topology of spaces with symmetries. At the meeting, equivariant cohomology was broa...Lasīt vairāk
This book offers the first comprehensive account of how the logarithmic norm is used for matrices, nonlinear maps and linear differential operators, with a focus on initial and boundary value problems.Complementing the usual operator norm,...Lasīt vairāk
(Izdošanas datums: 31-Oct-2024, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470476663)
This book provides a detailed treatment of the various facets of modern Sturm-Liouville theory, including such topics as Weyl:ndash;Titchmarsh theory, classical, renormalized, and perturbative oscillation theory, boundary data maps, traces and deter...Lasīt vairāk
Parabolic geometries encompass a very diverse class of geometric structures, including such important examples as conformal, projective, and almost quaternionic structures, hypersurface type CR-structures and various types of generic distributions....Lasīt vairāk
Combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively...Lasīt vairāk
It is a longstanding unsolved problem to characterize the optimal feedbacks for general SLQs with random coefficients in infinite dimensions; the same problem but in finite dimensions was addressed very recently. This paper is devoted to giving a so...Lasīt vairāk
We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth and establish the existence and linear stability of small amplitude, quasi-periodic in time, traveling waves, providing the first existence result...Lasīt vairāk
This book presents an introduction to the theory of first order partial dynamic equations (PDEs) on time scales. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses, but...Lasīt vairāk
Suitable for a graduate or an advanced undergraduate course on spectral geometry, this book starts from the basics but at the same time covers some of the exciting recent developments which can be explained without too many prerequisites....Lasīt vairāk
(Izdošanas datums: 30-Nov-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470474287)
Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation to smooth an initial Riemannian metric on a manifold. The formation of singularities in the manifol...Lasīt vairāk
Ricci flow is an exciting subject of mathematics with diverse applications in geometry, topology, and other fields. It employs a heat-type equation to smooth an initial Riemannian metric on a manifold. The formation of singularities in the manifol...Lasīt vairāk
(Izdošanas datums: 01-Nov-2023, Hardback, Izdevniecība: American Mathematical Society, ISBN-13: 9781470475253)
It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian...Lasīt vairāk
Marco Cirant, F. Reese Harvey, H. Blaine Lawson, Kevin R. Payne
Sērija : Annals of Mathematics Studies
(Izdošanas datums: 03-Oct-2023, Hardback, Izdevniecība: Princeton University Press, ISBN-13: 9780691243610)
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theories. In recent years, there has evolved a symbiotic and productive relationship between fully nonlinear...Lasīt vairāk
An examination of the symbiotic and productive relationship between fully nonlinear partial differential equations and generalized potential theoriesIn recent years, there has evolved a symbiotic and productive relationship between...Lasīt vairāk
In the first work in a projected series aimed at studying the asymptotic regions of the monopole moduli spaces, Kottke and Singer construct a partial compactification of the moduli space of magnetic monopoles in which monopoles of charge k decomp...Lasīt vairāk
Presents a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the...Lasīt vairāk