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

Algebraic Geometry 1, Volume 1

• Paperback | Translations of Mathematical Monographs
• By studying algebraic varieties over a field, this book demonstrates how the notion of schemes is necessary in algebraic geometry. It gives a definiti... Lees meer

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

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

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

Compact Lie Groups and Their Representations

• Paperback | Translations of Mathematical Monographs
• Besides compact Lie groups, this book considers the groups with other topological structure ('similar' to compact groups in some sense). Lees meer

Some Applications of Functional Analysis in Mathematical Physics

• Paperback | Translations of Mathematical Monographs
• Presents the theory of functions spaces, known as Sobolev spaces, which are widely used in the theory of partial differential equations, mathematical ... Lees meer

Functions on Manifolds

• Hardcover | Translations of Mathematical Monographs
• Presents a monograph that covers the results on smooth functions on manifolds. This title computes obstructions to deformation of one Morse function i... Lees meer

Combinatorics of Nonnegative Matrices

• Hardcover | Translations of Mathematical Monographs
• Focuses on the relation of matrices with nonnegative elements to various mathematical structures studied in combinatorics. This work considers relatio... Lees meer

Introduction to Linear Systems of Differential Equations

• Hardcover | Translations of Mathematical Monographs
• The theory of linear systems of differential equations is one of the cornerstones of the whole theory of differential equations. This book presents in... Lees meer

Diffusion Equations

• Hardcover | Translations of Mathematical Monographs
• Presents a self-contained exposition of the theory of initial-boundary value problems for diffusion equations. This book treats diffusion equations wi... Lees meer

Mathematics of Fractals

Masaya Yamaguti, etc., Masayoshi Hata, Kigami Jun

• Hardcover | Translations of Mathematical Monographs
• Explains the notions behind the self-similar sets called 'fractals' and 'chaotic dynamical systems'. This book emphasizes on the beautiful relationshi... Lees meer

Characters of Finite Groups Pt.2

Ya G. Berkovich, E.M. Zhmud

• Hardcover | Translations of Mathematical Monographs
• Places character theory and its applications to finite groups. This book focuses on themes such as degrees and kernels of irreducible characters, the ... Lees meer

Differential Forms Orthogonal to Holomorphic Functions or Forms, and Their Properties:

• Paperback | Translations of Mathematical Monographs
• Considers the problem of characterizing the exterior differential forms which are orthogonal to holomorphic functions (or forms) in a domain $D\subset... Lees meer

Discrete Groups

• Paperback | Translations of Mathematical Monographs
• Deals with geometric and topological aspects of discrete groups. This book discusses the topics such as hyperbolic groups due to Gromov; automatic gro... Lees meer

Heavy Traffic Limits for Multiphase Queues

• Hardcover | Translations of Mathematical Monographs
• Analyzes several types of queuing systems arising in network theory and communication theory. This book uses many methods and results from the theory ... Lees meer

Number Theory 1

Kazuya Kato, Nobushige Kurokawa, Takeshi Saito

• Paperback | Translations of Mathematical Monographs
• Introduces 'Fermat's Dream', core theories in modern number theory. This book gives developments in elliptic curves, $p$-adic numbers, the $\zeta$-fun... Lees meer

Dynamics of Nonholonomic Systems

• Paperback | Translations of Mathematical Monographs
• Intends to give an exposition of the mechanics of nonholonomic systems, including the kinematics and dynamics of nonholonomic systems with classical n... Lees meer

Qualitative Theory of Differential Equations

• Paperback | Translations of Mathematical Monographs
• Gives an introduction to and a comprehensive study of the qualitative theory of ordinary differential equations. This title begins with fundamental th... Lees meer

Lectures on Integral Transforms

N.I. Akhiezer, H.H. McFaden

• Paperback | Translations of Mathematical Monographs
• Focuses on classical integral transforms, principally the Fourier transform, and their applications. This book develops the general theory of the Four... Lees meer

Unramified Brauer Group and Its Applications

Sergey Gorchinskiy, Constantin Shramov

• Hardcover | Translations of Mathematical Monographs
• Explores arithmetic geometry with special attention given to the unramified Brauer group of algebraic varieties and its most striking applications in ... 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

Complexity of Proofs and Their Transformations in Axiomatic Theories

• Hardcover | Translations of Mathematical Monographs
• Intends to develop the tool of logical deduction schemata and use it to establish upper and lower bounds on the complexity of proofs and their transfo... Lees meer

Best Approximation by Linear Superpositions (Approximate Nomography)

• Hardcover | Translations of Mathematical Monographs
• Deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the sa... Lees meer