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1. Topics in Noncommutative Algebra : The Theorem of Campbell, Baker, Hausdorff and Dynkin
by Andrea Bonfiglioli, Roberta Fulci
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2034
オンライン: http://dx.doi.org/10.1007/978-3-642-22597-0
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1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
3 The Main Proof of the CBHD Theorem
4 Some ‘Short’ Proofs of the CBHD Theorem
5 Convergence and Associativity for the CBHD Theorem
6 CBHD, PBW and the Free Lie Algebras
Part II Proofs of the Algebraic Prerequisites
7 Proofs of the Algebraic Prerequisites
8 Construction of Free Lie Algebras
9 Formal Power Series in One Indeterminate
10 Symmetric Algebra
1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
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2. Mathematical Modeling in Biomedical Imaging II : Optical, Ultrasound, and Opto-Acoustic Tomographies
edited by Habib Ammari
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2035
オンライン: http://dx.doi.org/10.1007/978-3-642-22990-9
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Direct Reconstruction Methods in Optical Tomography
Direct Reconstruction Methods in Ultrasound Imaging of Small Anomalies
Photoacoustic Imaging for Attenuating Acoustic Media
Attenuation Models in Photoacoustics
Quantitative Photoacoustic Tomography
Direct Reconstruction Methods in Optical Tomography
Direct Reconstruction Methods in Ultrasound Imaging of Small Anomalies
Photoacoustic Imaging for Attenuating Acoustic Media
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3. Milnor Fiber Boundary of a Non-isolated Surface Singularity
by András Némethi, Ágnes Szilárd
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2037
オンライン: http://dx.doi.org/10.1007/978-3-642-23647-1
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1 Introduction
2 The topology of a hypersurface germ f in three variables Milnor fiber
3 The topology of a pair (f ; g)
4 Plumbing graphs and oriented plumbed 3-manifolds
5 Cyclic coverings of graphs
6 The graph GC of a pair (f ; g). The definition
7 The graph GC . Properties
8 Examples. Homogeneous singularities
9 Examples. Families associated with plane curve singularities
10 The Main Algorithm
11 Proof of the Main Algorithm
12 The Collapsing Main Algorithm
13 Vertical/horizontal monodromies
14 The algebraic monodromy of H1(¶ F). Starting point
15 The ranks of H1(¶ F) and H1(¶ F nVg) via plumbing
16 The characteristic polynomial of ¶ F via P# and P#
18 The mixed Hodge structure of H1(¶ F)
19 Homogeneous singularities
20 Cylinders of plane curve singularities: f = f 0(x;y)
21 Germs f of type z f 0(x;y)
22 The T;;–family
23 Germs f of type ˜ f (xayb; z). Suspensions
24 Peculiar structures on ¶ F. Topics for future research
25 List of examples
26 List of notations
1 Introduction
2 The topology of a hypersurface germ f in three variables Milnor fiber
3 The topology of a pair (f ; g)
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4. Complex Monge–Ampère Equations and Geodesics in the Space of Kähler Metrics
edited by Vincent Guedj
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2038
オンライン: http://dx.doi.org/10.1007/978-3-642-23669-3
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1.Introduction
I. The Local Homogenious Dirichlet Problem.-2. Dirichlet Problem in Domains of Cn
3. Geometric Maximality
II. Stochastic Analysis for the Monge-Ampère Equation
4. Probabilistic Approach to Regularity
III. Monge-Ampère Equations on Compact Manifolds
5.The Calabi-Yau Theorem
IV Geodesics in the Space of Kähler Metrics
6. The Riemannian Space of Kähler Metrics
7. MA Equations on Manifolds with Boundary
8. Bergman Geodesics
1.Introduction
I. The Local Homogenious Dirichlet Problem.-2. Dirichlet Problem in Domains of Cn
3. Geometric Maximality
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5. Spectral Analysis on Graph-like Spaces
by Olaf Post
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2039
オンライン: http://dx.doi.org/10.1007/978-3-642-23840-6
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1 Introduction
2 Graphs and associated Laplacians
3 Scales of Hilbert space and boundary triples
4 Two operators in different Hilbert spaces
5 Manifolds, tubular neighbourhoods and their perturbations
6 Plumber’s shop: Estimates for star graphs and related spaces
7 Global convergence results
1 Introduction
2 Graphs and associated Laplacians
3 Scales of Hilbert space and boundary triples
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6. Intersections of Hirzebruch–Zagier Divisors and CM Cycles
by Benjamin Howard, Tonghai Yang
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2041
オンライン: http://dx.doi.org/10.1007/978-3-642-23979-3
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1. Introduction
2. Linear Algebra
3. Moduli Spaces of Abelian Surfaces
4. Eisenstein Series
5. The Main Results
6. Local Calculations
1. Introduction
2. Linear Algebra
3. Moduli Spaces of Abelian Surfaces
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7. Multiscale and Adaptivity: Modeling, Numerics and Applications : C.I.M.E. Summer School, Cetraro, Italy 2009, Editors: Giovanni Naldi, Giovanni Russo
by Silvia Bertoluzza, Ricardo H. Nochetto, Alfio Quarteroni, Kunibert G. Siebert, Andreas Veeser
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2040
オンライン: http://dx.doi.org/10.1007/978-3-642-24079-9
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AdaptiveWavelet Methods
Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms
Primer of Adaptive Finite Element Methods
Mathematically Founded Design of Adaptive Finite Element Software
AdaptiveWavelet Methods
Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms
Primer of Adaptive Finite Element Methods
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8. Approximate Deconvolution Models of Turbulence : Analysis, Phenomenology and Numerical Analysis
by William J. Layton, Leo Rebholz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2042
オンライン: http://dx.doi.org/10.1007/978-3-642-24409-4
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1 Introduction
2 Large Eddy Simulation
3 Approximate Deconvolution Operators and Models
4 Phenomenology of ADMs
5 Time Relaxation Truncates Scales
6 The Leray-Deconvolution Regularization
7 NS-alpha- and NS-omega-Deconvolution Regularizations
1 Introduction
2 Large Eddy Simulation
3 Approximate Deconvolution Operators and Models
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9. The Dirichlet Problem for Elliptic-Hyperbolic Equations of Keldysh Type
by Thomas H. Otway
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2043
オンライン: http://dx.doi.org/10.1007/978-3-642-24415-5
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1 Introduction
2 Mathematical Preliminaries
3 The Equation of Cinquini-Cibrario
4 The Cold Plasma Model
5 Light near a Caustic
6 Projective Geometry
1 Introduction
2 Mathematical Preliminaries
3 The Equation of Cinquini-Cibrario
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10. Spherical Harmonics and Approximations on the Unit Sphere: An Introduction
by Kendall Atkinson, Weimin Han
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Lecture Notes in Mathematics ; 2044
オンライン: http://dx.doi.org/10.1007/978-3-642-25983-8
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1 Preliminaries
2 Spherical Harmonics
3 Differentiation and Integration over the Sphere
4 Approximation Theory
5 Numerical Quadrature
6 Applications: Spectral Methods
1 Preliminaries
2 Spherical Harmonics
3 Differentiation and Integration over the Sphere