A Mathematical Introduction to Conformal Field Theory
The first part of this book gives a detailed, self-contained and mathematically rigorous exposition of classical conformal ...
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An Introduction to Quantum and Vassiliev Knot Invariants
Provides an accessible introduction to knot theory, focussing on Vassiliev invariants, quantum knot invariants constructed ...
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An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem
This book provides an introduction to the basics of sub-Riemannian differential geometry and geometric analysis in the Heisenberg ...
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An Invitation to Morse Theory
This treatment of Morse Theory focuses on applications and is intended for a graduate course on differential or algebraic ...
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Complex Geometry
Complex geometry studies (compact) complex manifolds. It discusses algebraic as well as metric aspects. The subject is on ...
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Darboux Transformations in Integrable Systems
This book presents the Darboux transformations in matrix form and provides purely algebraic algorithms for constructing the ...
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Einstein Manifolds
"[...] an efficient reference book for many fundamental techniques of Riemannian geometry. [...] despite its length, the ...
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Elements for Physics
While usual presentations of physical theories emphasize the notion of physical quantity, this book shows that there is much ...
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Foundations of Hyperbolic Manifolds
The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main ...
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Foundations of Hyperbolic Manifolds
The book is divided into three parts. The first part is concerned with hyperbolic geometry and discrete groups. The main ...
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Geometric Numerical Integration
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds ...
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Geometric Numerical Integration
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds ...
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H-infinity Control for Nonlinear Descriptor Systems
The authors present a study of the H-infinity control problem and related topics for descriptor systems, described by a set ...
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Isomonodromic Deformations and Frobenius Manifolds : An Introduction
The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of ...
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Lectures on the Automorphism Groups of Kobayashi-Hyperbolic Manifolds
Kobayashi-hyperbolic manifolds are an object of active research in complex geometry. In this monograph the author presents ...
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Mathematical Implications of Einstein-Weyl Causality
The present work is the first systematic attempt at answering the following fundamental question: what mathematical structures ...
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Metric Structures for Riemannian and Non-Riemannian Spaces
The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green ...
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Numerical Continuation Methods for Dynamical Systems
The book opens with a foreword by Herbert B. Keller and lecture notes by Sebius Doedel himself that introduce the basic concepts ...
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Stability of Nonautonomous Differential Equations
Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability ...
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Topological Quantum Field Theory and Four Manifolds
Deals with topological quantum field theories and their applications to topological aspects of four manifolds. This book ...
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