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電子ブック

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edited by T.N. Bailey, R.J. Baston
出版情報:   1 online resource (384 p.)
シリーズ名: London Mathematical Society lecture note series ; 156
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Twistor theory after 25 years - its physical status and prospects / R. Penrose1:
Between integral geometry and twistors / S. G. Gindikin2:
Generalized conformal structures / 3:
Riemannian twistor spaces and holonomy groups / F. E. Burstall4:
Twistors, ambitwistors, and conformal gravity / C. R. LeBrun5:
The Penrose transform / M. G. Eastwood6:
Notation for the Penrose transform / E. G. Dunne7:
The twistor transform / 8:
Invariant operators / R. J. Baston9:
Penrose's quasi-local mass / K. P. Tod10:
The sparkling 3-form, Ashtekar variables and quasi-local mass / L. J. Mason ; J. Frauendiener11:
Twistor and strings / W. T. Shaw ; L. P. Hughston12:
Integrable systems in twistor theory / R. S. Ward13:
Twistor characterization of stationary axisymmetric solutions of Einstein's equations / J. Fletcher ; N. M. J. Woodhouse14:
A two-surface encoding of radiative space-times / C. N. Kozameh ; C. J. Cutler ; E. T. Newman15:
Twistors, massless fields and the Penrose transform / T.N. Bailey ; M. A. Singer16:
Twistor diagrams and Feynman diagrams / A. P. Hodges17:
Cohomology and twistor diagrams / S. A. Huggett18:
Authors' addresses
Twistor theory after 25 years - its physical status and prospects / R. Penrose1:
Between integral geometry and twistors / S. G. Gindikin2:
Generalized conformal structures / 3:
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電子ブック

EB
Kurt Jacobs
出版情報: Cambridge Core  1 online resource (xiii, 188 p.)
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A review of probability theory / 1:
Differential equations / 2:
Stochastic equations with Gaussian noise / 3:
Further properties of stochastic processes / 4:
Some applications of Gaussian noise / 5:
Numerical methods for Gaussian noise / 6:
Fokker-Planck equations and reaction-diffusion systems / 7:
Jump processes / 8:
Levy processes / 9:
Modern probability theory / 10:
Appendix
References
Index
A review of probability theory / 1:
Differential equations / 2:
Stochastic equations with Gaussian noise / 3:
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電子ブック

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V.S. Vladimirov, I.V. Volovich, and E.I. Zelenov
出版情報: Singapore ; River Edge, N.J. : World Scientific Pub. Co., c1994  1 online resource (xviii, 319 p.)
シリーズ名: Series on Soviet & East European mathematics ; v. 1
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電子ブック

EB
Reinhold A. Bertlmann
出版情報: Oxford : Oxford University Press, 2000  1 online resource (xiii, 566 p.)
シリーズ名: International series of monographs on physics ; 91
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電子ブック

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Edward Shuryak
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (xxiii, 520 p.)
シリーズ名: Lecture notes in physics ; 977
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Harold Erbin
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (xvii, 421 p.)
シリーズ名: Lecture notes in physics ; 980
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Peter A. Hogan, Dirk Puetzfeld
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (xi, 246 p.)
シリーズ名: Lecture notes in physics ; 984
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電子ブック

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Nicolas Michel, Marek Płoszajczak
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (xiv, 503 p.)
シリーズ名: Lecture notes in physics ; 983
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電子ブック

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Aneta Stefanovska, Peter V.E. McClintock, editors
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (xxiv, 431 p.)
シリーズ名: Understanding complex systems / founding editor, J.A. Scott Kelso
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Massimo Cencini
出版情報: [Cham] : SpringerLink, [20--]  1 online resource (x, 224 p.)
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Hung Nguyen-Schäfer, Jan-Philip Schmidt
出版情報: [Berlin] : Springer, [201-]  1 online resource (xvii, 376 p.)
シリーズ名: Mathematical engineering
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Claude E. Shannon and Warren Weaver ; foreword by Richard E. Blahut and Bruce Hajek
出版情報: [Ann Arbor, Mich.] : ProQuest Ebook Central, [20--]  1 online resource (99 p.)
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電子ブック

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Lequan Min, Guanrong Chen
出版情報: World Scientific  1 online resource (xiii, 146 p.)
シリーズ名: World Scientific series on nonlinear science / editor, Leon O. Chua ; ser. B, v. 18
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R. Badii, A. Politi
出版情報:   1 online resource (xiii, 318 p.)
シリーズ名: Cambridge nonlinear science series ; 6
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Phenomenology and Models / Part I:
Introduction / 1:
Examples of complex behaviour / 2:
Mathematical models / 3:
Symbolic representations of physical systems / Part II:
Probability, ergodic theory, and information / 5:
Thermodynamic formalism / 6:
Formal Characterization of Complexity / Part III:
Physical and computational analysis of symbolic signals / 7:
Algorithmic and grammatical complexities / 8:
Hierarchical scaling complexities / 9:
Summary and perspectives / 10:
Phenomenology and Models / Part I:
Introduction / 1:
Examples of complex behaviour / 2:
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Martin Ammon, Friedrich Schiller University, Jena, Johanna Erdmenger, Max Planck Institute for Physics, Munich
出版情報:   1 online resource (xii, 533 p.)
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Philip W. Anderson
出版情報: Singapore ; Hackensack, N.J. : World Scientific Pub. Co., c2004  1 online resource (xix, 862 p.)
シリーズ名: World Scientific series in 20th century physics ; v. 35
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Joel Franklin, Reed College
出版情報:   1 online resource (xvii, 400 p.)
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Minoru Takahashi
出版情報:   1 online resource (xiii, 252 p.)
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Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems / Part I:
Free energy and correlation functions of XY models / 1:
Systems with delta-function potential / 2:
Isotropic Heisenberg model / 3:
XXZ model / 4:
XYZ and eight-vertex models / 5:
Hubbard model / 6:
Finite Temperature Integral Equations for Un-Nested Systems / Part II:
Repulsive delta-function bosons / 7:
Thermodynamics of the XXX chain / 8:
Thermodynamics of the XXZ model / 9:
Thermodynamics of the XYZ model / 10:
Low-temperature thermodynamics / 11:
Finite Temperature Integral Equations for Nested Systems / Part III:
S=1/2 fermions with repulsive potential in the continuum / 12:
S=1/2 fermions with an attractive potential / 13:
Thermodynamics of the Hubbard model / 14:
Quantum Transfer Matrix and Recent Developments / Part IV:
Transfer matrix and correlation length / 15:
The spin 1/2 XXZ model in a magnetic field / 16:
The XYZ model with no magnetic field / 17:
Recent developments and related topics / 18:
Thermodynamics of Non-Interacting Systems and Ground States on Interacting Systems / Part I:
Free energy and correlation functions of XY models / 1:
Systems with delta-function potential / 2:
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電子ブック

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Andrzej J. Buras
出版情報:   1 online resource (xx, 718 p.)
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電子ブック

EB
edited by Antti Niemi, Kok Khoo Phua, Alfred Shapere
出版情報: World Scientific eBooks  1 online resource (xvii, 334 p.)
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電子ブック

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Joshua F Whitney and Heather M Whitney
出版情報: IOP science  1 online resource (various pagings)
シリーズ名: IOP ebooks
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Antonio Sergio Teixeira Pires
出版情報: IOP science  1 online resource (various pagings)
シリーズ名: IOP ebooks
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電子ブック

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Jeffrey H. Williams
出版情報: IOP science  1 online resource (various pagings)
シリーズ名: IOP ebooks
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電子ブック

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Brett Borden, James Luscombe
出版情報: IOP science  1 online resource (various pagings)
シリーズ名: Essential mathematics for the physical sciences ; v. 1
IOP concise physics
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電子ブック

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John Harnad, Ferenc Balogh
出版情報:   1 online resource (xxvi, 521 p.)
シリーズ名: Cambridge monographs on mathematical physics ;
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電子ブック

EB
Malcolm Longair
出版情報:   1 online resource (xvi, 621 p.)
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電子ブック

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David S. Sholl, Janice A. Steckel
出版情報: [S.l.] : Wiley Online Library  1 online resource (xii, 238 p.)
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What is Density Functional Theory? / Chapter 1:
How To Approach This Book / 1.1:
Examples of DFT in Action / 1.2:
The Schr_dinger Equation / 1.3:
Density Functional Theory - From Wavefunctions to Electron Density / 1.4:
The Exchange-Correlation Functional / 1.5:
The Quantum Chemistry Tourist / 1.6:
What Can't DFT Do? / 1.7:
Density Functional Theory in Other Fields / 1.8:
How To Approach This Book (Revisited) / 1.9:
DFT Calculations for Simple Solids / Chapter 2:
Periodic Structures, Supercells, and Lattice Parameters / 2.1:
Face Centered Cubic Materials / 2.2:
Hexagonal Close Packed Materials / 2.3:
Crystal Structure Prediction / 2.4:
Phase Transformations / 2.5:
Nuts and Bolts of DFT Calculations / Chapter 3:
Reciprocal Space and k-points / 3.1:
Energy Cutoffs / 3.2:
Numerical Optimization / 3.3:
DFT Total Energies - An Iterative Optimization Problem / 3.4:
Geometry Optimization / 3.5:
DFT Calculations for Surfaces of Solids / Chapter 4:
Why Surfaces Are Important / 4.1:
Periodic Boundary Conditions and Slab Models / 4.2:
Choosing k-points for Surface Calculations / 4.3:
Classification of Surfaces by Miller Indices / 4.4:
Surface Relaxation / 4.5:
Calculation of Surface Energies / 4.6:
Symmetric and Asymmetric Slab Models / 4.7:
Surface Reconstruction / 4.8:
Adsorbates on Surfaces / 4.9:
Effects of Surface Coverage / 4.10:
DFT Calculations of Vibrational Frequencies / Chapter 5:
Isolated Molecules / 5.1:
Vibrations of Collections of Atoms / 5.2:
Molecules on Surfaces / 5.3:
Zero Point Energies / 5.4:
Phonons and Delocalized Modes / 5.5:
Calculating Rates of Chemical Processes Using Transition State Theory / Chapter 6:
A One-Dimensional Example / 6.1:
Multi-dimensional Transition State Theory / 6.2:
Finding Transition States / 6.3:
Finding the Right Transition State / 6.4:
Connecting Individual Rates to Overall Dynamics / 6.5:
Quantum Effects and Other Complications / 6.6:
Equilibrium Phase Diagrams From Ab Initio Thermodynamics / Chapter 7:
Stability of Bulk Metal Oxides / 7.1:
Stability of Metal and Metal Oxide Surfaces / 7.2:
Multiple Chemical Potentials and Coupled Chemical Potentials / 7.3:
Electronic Structure and Magnetic Properties / Chapter 8:
Electronic Density of States / 8.1:
Local DOS and Atomic Charges / 8.2:
Magnetism / 8.3:
Ab Initio Molecular Dynamics / Chapter 9:
Classical Molecular Dynamics / 9.1:
Applications of Ab Initio Molecular Dynamics / 9.2:
Accuracy and Methods Beyond "Standard" Calculations / Chapter 10:
How Accurate Are DFT Calculations? / 10.1:
Choosing A Functional / 10.2:
Examples of Physical Accuracy / 10.3:
DFT+X Methods for Improved Treatment of Electron Correlations / 10.4:
Large System Sizes With Linear Scaling Methods and Classical Forcefields / 10.5:
Conclusion / 10.6:
The Schrödinger Equation
Preface
What Is Density Functional Theory? / 1:
How to Approach This Book
Ammonia Synthesis by Heterogeneous Catalysis / 1.2.1:
Embrittlement of Metals by Trace Impurities / 1.2.2:
Materials Properties for Modeling Planetary Formation / 1.2.3:
Density Functional Theory-From Wave Functions to Electron Density
Exchange-Correlation Functional
Localized and Spatially Extended Functions / 1.6.1:
Wave-Function-Based Methods / 1.6.2:
Hartree-Fock Method / 1.6.3:
Beyond Hartree-Fock / 1.6.4:
What Can DFT Not Do?
How to Approach This Book (Revisited)
References
Further Reading
Face-Centered Cubic Materials / 2:
Hexagonal Close-Packed Materials
Exercises
Appendix Calculation Details
Reciprocal Space and k Points / 3:
Plane Waves and the Brillouin Zone / 3.1.1:
Integrals in k Space / 3.1.2:
Choosing k Points in the Brillouin Zone / 3.1.3:
Metals-Special Cases in k Space / 3.1.4:
Summary of k Space / 3.1.5:
Pseudopotentials / 3.2.1:
Optimization in One Dimension / 3.3.1:
Optimization in More than One Dimension / 3.3.2:
What Do I Really Need to Know about Optimization? / 3.3.3:
DFT Total Energies-An Iterative Optimization Problem
Internal Degrees of Freedom / 3.5.1:
Geometry Optimization with Constrained Atoms / 3.5.2:
Optimizing Supercell Volume and Shape / 3.5.3:
Importance of Surfaces / 4:
Choosing k Points for Surface Calculations
Absorbates on Surfaces
Accuracy of Adsorption Energies / 4.9.1:
Vibrations of a Collection of Atoms / 5:
Zero-Point Energies
Reference
One-Dimensional Example / 6:
Multidimensional Transition State Theory
Elastic Band Method / 6.3.1:
Nudged Elastic Band Method / 6.3.2:
Initializing NEB Calculations / 6.3.3:
Finding the Right Transition States
High Temperatures/Low Barriers / 6.6.1:
Quantum Tunneling / 6.6.2:
Equilibrium Phase Diagrams from Ab Initio Thermodynamics / 6.6.3:
Examples Including Disorder-Configurational Entropy / 7.1.1:
Multiple Chemical Potentials and Coupled Chemical Reactions
Local Density of States and Atomic Charges / 8:
Molecular Dynamics with Constant Energy / 9:
Molecular Dynamics in the Canonical Ensemble / 9.1.2:
Practical Aspects of Classical Molecular Dynamics / 9.1.3:
Exploring Structurally Complex Materials: Liquids and Amorphous Phases / 9.3.1:
Exploring Complex Energy Surfaces / 9.3.2:
Accuracy and Methods beyond "Standard" Calculations / 10:
Choosing a Functional
Benchmark Calculations for Molecular Systems-Energy and Geometry / 10.3.1:
Benchmark Calculations for Molecular Systems-Vibrational Frequencies / 10.3.2:
Crystal Structures and Cohesive Energies / 10.3.3:
Adsorption Energies and Bond Strengths / 10.3.4:
DFT + X Methods for Improved Treatment of Electron Correlation
Dispersion Interactions and DFT-D / 10.4.1:
Self-Interaction Error, Strongly Correlated Electron Systems, and DFT+U / 10.4.2:
Larger System Sizes with Linear Scaling Methods and Classical Force Fields
Index
What is Density Functional Theory? / Chapter 1:
How To Approach This Book / 1.1:
Examples of DFT in Action / 1.2:
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電子ブック

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Chris Doran and Anthony Lasenby
出版情報:   1 online resource (xiv, 578 pages)
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Introduction / 1:
Geometric algebra in two and three dimensions / 2:
Classical mechanics / 3:
Foundations of geometric algebra / 4:
Relativity and spacetime / 5:
Geometric calculus / 6:
Classical electrodynamics / 7:
Quantum theory and spinors / 8:
Multiparticle states and quantum entanglement / 9:
Geometry / 10:
Further topics in calculus and group theory / 11:
Lagrangian and Hamiltonian techniques / 12:
Symmetry and gauge theory / 13:
Gravitation / 14:
Preface
Notation
Bibliography
Index
Introduction / 1:
Geometric algebra in two and three dimensions / 2:
Classical mechanics / 3:
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電子ブック

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Theodore Frankel
出版情報:   1 online resource (lxii, 686 pages)
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Preface to the Third Edition
Preface to the Second Edition
Preface to the revised printing
Preface to the First Edition
Overview
Manifolds, Tensors, and Exterior Forms / Part I:
Manifolds and vector fields / 1:
Tensors and exterior forms / 2:
Integration of differential forms / 3:
The Lie derivative / 4:
The Poincaré Lemma and potentials / 5:
Holonomic and nonholonomic constraints / 6:
Geometry and Topology / Part II:
R3 and Minkowski space / 7:
The geometry of surfaces in R3 / 8:
Covariant differentiation and curvature / 9:
Geodesics / 10:
Relativity, tensors, and curvature / 11:
Curvature and topology: Synge's theorem / 12:
Betti numbers and De Rham's theorem / 13:
Harmonic forms / 14:
Lie Groups, Bundles, and Chern Forms / Part III:
Lie groups / 15:
Vector bundles in geometry and physics / 16:
Fiber bundles, Gauss-Bonnet, and topological quantization / 17:
Connections and associated bundles / 18:
The Dirac equation / 19:
Yang-Mills fields / 20:
Betti numbers and covering spaces / 21:
Chern forms and homotopy groups / 22:
Forms in continuum mechanics / Appendix A:
Harmonic chains and Kirchhoff's circuit laws / Appendix B:
Symmetries, quarks, and Meson masses / Appendix C:
Representations and hyperelastic bodies / Appendix D:
Orbits and Morse-Bott theory in compact Lie groups / Appendix E:
Preface to the Third Edition
Preface to the Second Edition
Preface to the revised printing
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電子ブック

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Roel Snieder, Colorado School of Mines, Kasper van Wijk, University of Auckland
出版情報:   1 online resource (xxi, 560 pages)
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31.

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Michael Stone and Paul Goldbart
出版情報:   1 online resource (xiii, 806 pages)
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Preface
Calculus of variations / 1:
Function spaces / 2:
Linear ordinary differential equations / 3:
Linear differential operators / 4:
Green functions / 5:
Partial differential equations / 6:
The mathematics of real waves / 7:
Special functions / 8:
Integral equations / 9:
Vectors and tensors / 10:
Differential calculus on manifolds / 11:
Integration on manifolds / 12:
An introduction to differential topology / 13:
Group and group representations / 14:
Lie groups / 15:
The geometry of fibre bundles / 16:
Complex analysis I / 17:
Applications of complex variables / 18:
Special functions and complex variables / 19:
Appendixes
Reference
Index
Preface
Calculus of variations / 1:
Function spaces / 2:
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