A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a ...
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A Geometric Approach to Differential Forms
The modern subject of differential forms subsumes classical vector calculus. This text presents differential forms from a ...
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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 Difference Equations
The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive ...
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An Introduction to Manifolds
Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining ...
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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 Riemann Surfaces, Algebraic Curves and Moduli Spaces
This book gives an introduction to modern geometry. Starting from an elementary level the author develops deep geometrical ...
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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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An Invitation to Statistics in Wasserstein Space
This book presents the key aspects of statistics in Wasserstein spaces, i.e. statistics in the space of probability measures ...
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Analysis II
As with the first, the second volume contains substantially more material than can be covered in a one-semester course. Such ...
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Arithmetical Investigations : Representation Theory, Orthogonal Polynomials, and Quantum Interpolations
In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic ...
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C*-algebras and Elliptic Theory
This volume contains the proceedings of the conference on "C*-algebras and Elliptic Theory" held in Bedlewo, Poland, in ...
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Calculus and Mechanics on Two-Point Homogenous Riemannian Spaces
The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian ...
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Compact Lie Groups
This book covers the structure and representation theory of compact Lie groups. The necessary Lie algebra theory is also ...
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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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Complex, Contact and Symmetric Manifolds
This volume contains introductory and contextual material, describe recent developments and research trends in spectral geometry, ...
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Cycle Spaces of Flag Domains
This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of ...
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Cycle Spaces of Flag Domains
This monograph, divided into four parts, presents a comprehensive treatment and systematic examination of cycle spaces of ...
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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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