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Differential and Riemannian geometry Books

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An Excursion Through Discrete Differential Geometry

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a...

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$273.00

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Finite Element Exterior Calculus

Computational methods to approximate the solution of differential equations play a crucial role in science, engineering, mathematics, and technology. The key processes that govern the physical...

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$135.00

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Numerical Geometry of Images

Numerical Geometry of Images examines computational methods and algorithms in image processing. It explores applications like shape from shading, color-image enhancement and segmentation, ...

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$116.00

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CR Submanifolds of Kaehlerian and Sasakian Manifolds

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$122.00

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Vector Analysis Versus Vector Calculus

The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied...

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$159.00

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Hamiltonian Structures and Generating Families

Preface.- 1 Basic Notions of Calculus on Manifolds.- 2 Relations.- 3 Symplectic Relations on Symplectic Manifolds.- 4 Symplectic Relations on Cotangent Bundles.- 5 Canonical Lift on Cotangent Bundles...

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$142.00

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Differential and Riemannian Manifolds

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I...

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$136.00

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Modern Geometry - Methods and Applications

This is the first volume of a three-volume introduction to modern geometry which emphasizes applications to other areas of mathematics and theoretical physics. Topics covered include tensors and...

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$136.00

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Introduction to Differentiable Manifolds

Author is well-known and established book author (all Serge Lang books are now published by Springer); Presents a brief introduction to the subject; All manifolds are assumed finite dimensional in...

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$136.00

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Introduction to Smooth Manifolds

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or ...

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$150.00

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Finsler and Lagrange Geometries

In the last decade several international conferences on Finsler, Lagrange and Hamilton geometries were organized in Bra§ov, Romania (1994), Seattle, USA (1995), Edmonton, Canada (1998), besides the...

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$220.00

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Global Differential Geometry of Surfaces

Writing this book, I had in my mind areader trying to get some knowledge of a part of the modern differential geometry. I concentrate myself on the study of sur faces in the Euclidean 3-space, this...

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$227.00

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Geometric Theory of Generalized Functions with Applications to General Relativity

Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau) has taken place. Originating in infinite dimensional analysis...

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$227.00

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Old and New Aspects in Spectral Geometry

Preface. 1. Introduction to Riemannian Manifolds. 2. Canonical Differential Operators Associated to a Riemannian Manifold. 3. Spectral Properties of the Laplace-Beltrami Operator and Applications...

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$227.00

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The Implicit Function Theorem

The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit...

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$181.00

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Geometric Optimal Control

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, deterministic, optimal control problems. The emphasis is on the...

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$187.00

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An Invitation to Morse Theory

Preface.- Notations and Conventions.- 1 Morse Functions.- 2 The Topology of Morse Functions.- 3 Applications.- 4 Morse-Smale Flows and Whitney Stratifications.- 5 Basics of Complex Morse Theory.- 6...

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$171.00

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Scalar and Asymptotic Scalar Derivatives

Scalar Derivatives in Euclidean Spaces.- Asymptotic Derivatives and Asymptotic Scalar Derivatives.- Scalar Derivatives in Hilbert Spaces.- Scalar Derivatives in Banach Spaces.- Monotone Vector Fields...

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$268.00

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The Heat Kernel Lefschetz Fixed Point Formula for the Spin-c Dirac Operator

1 Introduction.- 2 The Dolbeault-Dirac Operator.- 3 Clifford Modules.- 4 The Spin Group and the Spin-c Group.- 5 The Spin-c Dirac Operator.- 6 Its Square.- 7 The Heat Kernel Method.- 8 The Heat...

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$119.00

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Differentiable Manifolds

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing...

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$140.00

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Loop Spaces, Characteristic Classes and Geometric Quantization

This book examines the differential geometry of manifolds, loop spaces, line bundles and groupoids, and the relations of this geometry to mathematical physics. Applications presented in the book...

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$163.00

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A Treatise On The Differential Geometry Of Curves And Surfaces

A TREATISE ON THE DIFFERENTIAL GEOMETRY OF CURVES AND SURFACES. PREFACE: This book is a development from courses which I have given in Princeton for a number of years. During this time I have come...

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$75.00

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Geometric Methods in Inverse Problems and PDE Control

This IMA Volume in Mathematics and its Applications GEOMETRIC METHODS IN INVERSE PROBLEMS AND PDE CONTROL contains a selection of articles presented at 2001 IMA Summer Program with the same title. We...

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$335.00

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Lecons Sur Les Coordonnees Tangentielles, Part 2

Le livre intitul�� ""Le��ons sur les coordonn��es tangentielles, Partie 2 : G��om��trie dans l'espace"" a ��t�� crit par Georges Papelier en 1895. Ce livre est une suite de...

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$89.00

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Global Affine Differential Geometry of Hypersurfaces

This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry - as...

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$323.00

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Lagrangian Floer Theory and Its Deformations

A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization...

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$151.00

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Einstein Constraints and Ricci Flow

This book contains a self-consistent treatment of a geometric averaging technique, induced by the Ricci flow, that allows comparing a given (generalized) Einstein initial data set with another...

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$194.00

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Differential Geometry, Algebra, and Analysis

This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the...

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$220.00

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New Developments in Differential Geometry

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$227.00

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New Developments in Differential Geometry, Budapest 1996

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$184.00

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Algebra and Operator Theory

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$227.00

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Geometry of Vector Sheaves

This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the ...

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$184.00

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Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds

In recent times it has been stated that many dynamical systems of classical mathematical physics and mechanics are endowed with symplectic structures, given in the majority of cases by Poisson...

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$227.00

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Finslerian Geometries

The International Conference on Finsler and Lagrange Geometry and its Applications: A Meeting of Minds, took place August 13-20, 1998 at the University of Alberta in Edmonton, Canada. The main...

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$227.00

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Geometry and Algebra of Multidimensional Three-Webs

·Et moi, ... , Ii j'avait so comment en revenir. je One serviee mathematics has rendered the n 'y serais point all~.' human nee. It hal put rommon sense back Jules Verne whme it belongs, on the...

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$227.00

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Global Properties of Linear Ordinary Differential Equations

This monograph contains a description of original methods and results concern ing global properties of linear differential equations of the nth order, n ~ 2, in the real domain. This area of...

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$220.00

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Differential Geometry of Spray and Finsler Spaces

In this book we study sprays and Finsler metrics. Roughly speaking, a spray on a manifold consists of compatible systems of second-order ordinary differential equations. A Finsler metric on a...

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$184.00

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Semi-Riemannian Maps and Their Applications

A major flaw in semi-Riemannian geometry is a shortage of suitable types of maps between semi-Riemannian manifolds that will compare their geometric properties. Here, a class of such maps called ...

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$184.00

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Meromorphic Functions and Projective Curves

This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface. Thus the main subject matter consists of holomorphic maps from a compact...

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$227.00

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Geometry, Fields and Cosmology

This volume is based on the lectures given at the First Inter University Graduate School on Gravitation and Cosmology organized by IUCAA, Pune, in 1989. This series of Schools have been carefully...

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$357.00

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Singular Semi-Riemannian Geometry

This book is an exposition of "Singular Semi-Riemannian Geometry"- the study of a smooth manifold furnished with a degenerate (singular) metric tensor of arbitrary signature. The main topic of...

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$184.00

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Ordinary and Stochastic Differential Geometry as a Tool for Mathematical Physics

The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics...

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$184.00

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Lagrange and Finsler Geometry

Since 1992 Finsler geometry, Lagrange geometry and their applications to physics and biology, have been intensive1y studied in the context of a 5-year program called "Memorandum ofUnderstanding",...

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$227.00

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Complete Minimal Surfaces of Finite Total Curvature

This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature. Our exposition is based upon the...

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$184.00

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Introduction to Geometry of Manifolds with Symmetry

One ofthe most important features of the development of physical and mathematical sciences in the beginning of the 20th century was the demolition of prevailing views of the three-dimensional...

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$227.00

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Differential Geometry and its Applications

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$227.00

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Quasiregular Mappings

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$184.00

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Natural Operations in Differential Geometry

The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has...

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$194.00

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Differential and Riemannian geometry

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