Infinite-dimensional Lie Groups

• Hardcover | Translations of Mathematical Monographs
• Develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and... Lees meer

Introduction to the Spectral Theory of Polynomial Operator Pencils

A. S. Markus

• Paperback | Translations of Mathematical Monographs
• Contains an exposition of the foundations of the spectral theory of polynomial operator pencils acting in a Hilbert space. The author devotes most of ... Lees meer

Cohomological Analysis of Partial Differential Equations and Secondary Calculus

• Hardcover | Translations of Mathematical Monographs
• Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential equations. This work describes appli... Lees meer

Problems and Theorems in Linear Algebra

• Paperback | Translations of Mathematical Monographs
• Presents the basics of linear algebra, with an emphasis on nonstandard and interesting proofs. This book features about 230 problems with solutions. I... Lees meer

Methods of Information Geometry

• Paperback | Translations of Mathematical Monographs
• Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mat... Lees meer

Geometry

• Hardcover | Translations of Mathematical Monographs
• Presents an introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. This book also include ... Lees meer

Fermat's Last Theorem (2-Volume Set)

Takeshi Saito

• Paperback | Translations of Mathematical Monographs
• Presents in full detail the proof of Fermat's Last Theorem given by Wiles and Taylor. With these two books, the reader will be able to see the whole p... Lees meer

C*-algebras and Elliptic Operators in Differential Topology

• Hardcover | Translations of Mathematical Monographs
• Intends to present some applications of functional analysis and the theory of differential operators to the investigation of topological invariants of... Lees meer

Algebraic Topology

Hajime Sato

• Paperback | Translations of Mathematical Monographs
• Covers topics including fundamental notions such as homeomorphisms, homotopy equivalence, fundamental groups and higher homotopy groups, homology and ... Lees meer

Optimal Control of Distributed Systems

• Hardcover | Translations of Mathematical Monographs
• Presents the analysis of optimal control problems for systems described by partial differential equations. This book covers cases where the controlled... Lees meer

Hilbert $C*$-Modules

V.M. Manuilov, E.V. Troitsky

• Hardcover | Translations of Mathematical Monographs
• Hilbert $C^*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C}$ is replaced by an arbitrary $C... Lees meer

Stochastic Approximation and Recursive Estimation

• Paperback | Translations of Mathematical Monographs
• Focuses on the sequential methods of solving a class of problems to which belongs, for example, the problem of finding a maximum point of a function i... Lees meer

Geometric Theory of Functions of a Complex Variable

• Paperback | Translations of Mathematical Monographs
• Based on lectures on geometric function theory given by the author at Leningrad State University, this book studies univalent conformal mapping of sim... Lees meer

Fermat's Last Theorem

Takeshi Saito

• Paperback | Translations of Mathematical Monographs
• This book, together with the companion volume, Fermat's Last Theorem: The Proof, presents in full detail the proof of Fermat's Last Theorem given by W... Lees meer

Traveling Wave Solutions of Parabolic Systems

Aizik I. Volpert, Vitaly A. Volpert, Vladimir A. Volpert

• Paperback | Translations of Mathematical Monographs
• The theory of traveling waves described by parabolic equations and systems is a rapidly developing branch of modern mathematics. This book presents a ... Lees meer

Theory of Entire and Meromorphic Functions

• Hardcover | Translations of Mathematical Monographs
• Offers a basic introduction to the development of the theory of entire and meromorphic functions from the 1950s to the early 1980s. Introducing fundam... Lees meer

Second Order Elliptic Equations and Elliptic Systems

Ya-Zhe Chen, Lan-Cheng Wu

• Hardcover | Translations of Mathematical Monographs
• Divided in two parts, this book presents an introduction of various kinds of a priori estimate methods for the Dirichlet problem of second order ellip... Lees meer

Surfaces with Constant Mean Curvature

• Paperback | Translations of Mathematical Monographs
• The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean cur... Lees meer

Selected Topics in Integral Geometry

• Hardcover | Translations of Mathematical Monographs
• Presents examples of integral geometry problems, such as the Radon transform on the plane and in space, the John transform, the Minkowski-Funk transfo... Lees meer

An Introduction to Morse Theory

• Paperback | Translations of Mathematical Monographs
• In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations... Lees meer

Wavelet Theory

I. Ya. Novikov, V. Yu. Protasov, Maria A. Skopina

• Hardcover | Translations of Mathematical Monographs
• Provides a systematic exposition of modern wavelet theory. It details the construction of orthogonal and biorthogonal systems of wavelets and studies ... Lees meer

Topology of Lie Groups I and II

• Paperback | Translations of Mathematical Monographs
• Lie groups are very general mathematical objects that appear in numerous areas such as topology, functional analysis, and algebra, as well as differen... Lees meer

Knots, Links, Braids and 3-manifolds

V.V. Prasolov, A.B. Sossinsky

• Paperback | Translations of Mathematical Monographs
• An introduction to the work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its modifications and generalizations, including a m... Lees meer

Linear and Nonlinear Perturbations of the Operator div

V.G. Osmolovskii

• Hardcover | Translations of Mathematical Monographs
• The perturbation theory for the operator div is of particular interest in the study of boundary-value problems for the general nonlinear equation $F(\... Lees meer