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Call number: | 9789814566414:ONLINE Show nearby items on shelf |
Title: | Differential geometry for physicists and mathematicians: Moving frames and differential forms from Euclid past Riemann |
Author(s): |
Jose G. Vargas |
Date: | 2014 |
Publisher: | New Jersey: World Scientific |
Size: | 1 online resource |
ISBN: | 9789814566391 |
Keywords: | Mathematical physics. , Geometry, Differential. |
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Call number: | 9789462392403:ONLINE Show nearby items on shelf |
Title: | Topics in Modern Differential Geometry |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (VII, 284 p. 30 illus., 4 illus. in color p.) |
Contents: | 1.The Riemannian and Lorentzian Splitting Theorems -- 2.Periodic trajectories of dynamical systems having a one-parameter group of symmetries -- 3.Geometry and Materials -- 4.On deciding whether a submanifold is parabolic or |
hyperbolic using its mean curvature -- 5.Contact Forms in Geometry and Topology -- 6.Farkas and Janos Bolyai -- 7.Spectrum Estimates and Applications to Geometry -- 8.Variational problems on curves -- 9.Special Submanifolds in | |
Hermitian Manifolds -- 10.An introduction to certain topics on Lorentzian geometry | |
ISBN: | 9789462392403 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Differential geometry , Mathematics , Differential Geometry |
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Call number: | 9783319517537:ONLINE Show nearby items on shelf |
Title: | Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.) |
Contents: | Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with |
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random | |
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation | |
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied | |
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent | |
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the | |
Barndor-Nielsen-Shephard Model for Commodity Markets | |
ISBN: | 9783319517537 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences |
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Call number: | 9783319516585:ONLINE Show nearby items on shelf |
Title: | Inverse Problems for Partial Differential Equations |
Author(s): |
Victor Isakov |
Date: | 2017 |
Edition: | 3rd ed. 2017 |
Size: | 1 online resource (XV, 406 p. 4 illus p.) |
Contents: | Inverse Problems -- Ill-Posed Problems and Regularization -- Uniqueness and Stability in the Cauchy Problem -- Elliptic Equations: Single Boundary Measurements -- Elliptic Equations: Many Boundary Measurements -- Scattering Problems |
and Stationary Waves -- Integral Geometry and Tomography -- Hyperbolic Problems -- Inverse Parabolic Problems -- Some Numerical Methods -- Appendix: Functional Spaces | |
ISBN: | 9783319516585 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Remote sensing , Partial differential equations , Computer mathematics , Physics , Mathematics , Partial Differential Equations , Computational Mathematics and Numerical Analysis , Theoretical, Mathematical and Computational Physics , Remote Sensing/Photogrammetry |
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Call number: | 9783319496825:ONLINE Show nearby items on shelf |
Title: | Theory of Gravitational Interactions |
Author(s): |
Maurizio Gasperini |
Date: | 2017 |
Edition: | 2nd ed. 2017 |
Size: | 1 online resource (XVII, 373 p. 14 illus p.) |
Contents: | Elementary Notions of Relativistic Field Theory -- Towards a Relativistic Theory of Gravity -- Tensor Calculus in a Riemann Manifold -- Maxwell Equations and Riemann Geometry -- Test Bodies and Signals in a Riemann Space–Time -- |
Geodesic Deviation and Curvature Tensor -- The Einstein Equations for the Gravitational Field -- The Weak-Field Approximation -- Gravitational Waves -- The Schwarzschild Solution -- The Kasner Solution -- Vierbeins and Lorentz | |
Connection -- The Dirac Equation in a Gravitational Field -- Supersymmetry and Supergravity -- Appendix A The Language of Differential Forms -- Appendix B Higher-Dimensional Gravity -- References -- Index | |
ISBN: | 9783319496825 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Physics , Mathematical physics , Quantum field theory , String theory , Gravitation , Cosmology , Physics , Classical and Quantum Gravitation, Relativity Theory , Quantum Field Theories, String Theory , Cosmology , Mathematical Physics |
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Call number: | 9783319475127:ONLINE Show nearby items on shelf |
Title: | Pseudo-Differential Operators: Groups, Geometry and Applications |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (VIII, 239 p. 23 illus., 11 illus. in color p.) |
Contents: | Pseudo-Differential Operators on the Affine Group -- Pseudo-Differential Operators on Non-Isotropic Heisenberg Groups with Multi-Dimensional Center -- Curvatures of the Heisenberg Group -- Ellipticity with Global Projection Conditions |
-- Multilinear Localization Operators Associated to Quaternion Fourier Transforms -- A Time-Frequency Relationship between the Langevin Equation and the Harmonic Oscillator -- Are There Quantum Operators and Wave Functions in Standard | |
Probability Theory -- A Class of Non-Markovian Pseudo-Differential Operators of Lévy Type -- On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion -- Visualizing Discrete Complex-Valued | |
Time-Frequency Representations -- The Reassigned Spectrogram of the Stockwell transform -- Continuous Multi-Wavelet Transforms for Blind Signal Separation. | |
ISBN: | 9783319475127 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Operator theory , Partial differential equations , Information theory , Differential geometry , Probabilities , Mathematics , Operator Theory , Partial Differential Equations , Differential Geometry , Probability Theory and Stochastic Processes , Information and Communication, Circuits |
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Location: | ONLINE |
Call number: | 9781493932108:ONLINE Show nearby items on shelf |
Title: | Towards a Theory of Spacetime Theories |
Author(s): | |
Date: | 2017 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource (VIII, 335 p. 7 illus p.) |
Contents: | Inertial Motion, Explanation, and the Foundations of Classical Spacetime Theories -- A Primer on Energy Conditions -- Background Independence, Diffeomorphism Invariance, and the Meaning of Coordinates -- Gauge Theory of Gravity and |
Spacetime -- Paving the Way for Transitions - A Case for Weyl Geometry -- A Model-theoretic Analysis of Spacetime Theories -- The Relativity and Equivalence Principles for Self-gravitating Systems -- The Physical Significance of | |
Symmetries from the Perspective of Conservation Laws -- Raisers of the Lost Spacetime -- Does Time Exist in Quantum Gravity? | |
ISBN: | 9781493932108 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Differential geometry , History , Mathematical physics , Physics , Mathematics , History of Mathematical Sciences , Theoretical, Mathematical and Computational Physics , Mathematical Physics , Differential Geometry |
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Location: | ONLINE |
Call number: | 9781470416379::ONLINE Show nearby items on shelf |
Title: | Glimpses of soliton theory: The algebra and geometry of nonlinear PDEs |
Author(s): |
Alex Kasman |
Date: | 2010 |
Publisher: | Providence, R.I.: American Mathematical Society |
Size: | 1 online resource (304 pages) |
Note: | Limited User Access (3 Copies Available) |
Contents: | Differential equations, Developing PDE intuition, The story of solitons, Elliptic curves and KdV traveling waves, KdV -solitons, Multiplying and factoring differential operators Eigenfunctions and isospectrality, Lax form for KdV and other soliton equations, The KP equation and bilinear KP equation, The Grassmann cone Γ_{2,4} and the bilinear KP equation Pseudo-differential operators and the KP hierarchy, The Grassman cone and the bilinear KP hierarchy, Concluding remarks, Mathematica guide, Complex numbers, Ideas for independent projects |
ISBN: | 9781470416379 |
Series: | Student mathematical library, v. 54. |
Series: | eBooks |
Series: | EBSCOhost |
Keywords: | Korteweg-de Vries equation. , Geometry, Algebraic. , Differential equations, Partial. |
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Call number: | 9780805301021:ONLINE Show nearby items on shelf |
Title: | Foundations of mechanics: a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the three-body problem |
Author(s): |
Ralph Abraham |
Date: | 1978 |
Edition: | 2d ed., rev., enl., and reset. |
Publisher: | Reading, Mass.: Benjamin/Cummings |
Size: | 1 online open access resource (789 p) |
Note: | Caltech open access |
ISBN: | 9780805301021 |
Keywords: | Mechanics, Analytic. , Geometry, Differential. , Celestial mechanics. |
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Location: | ONLINE |
Call number: | 1118255046:ONLINE Show nearby items on shelf |
Title: | Kinematic Synthesis of Linkages: A Differential Geometry Approach |
Author(s): |
Wang |
Date: | 2015 |
Publisher: | Wiley |
Size: | 1 online resource (451 p.) |
ISBN: | 9781118255049 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mechanical Engineering |
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Location: | ONLINE |
Call number: | 0471828254:ONLINE Show nearby items on shelf |
Title: | Differential Geometry |
Author(s): |
Stoker |
Date: | 1969 |
Publisher: | Wiley-Interscience |
Size: | 1 online resource (433 p.) |
ISBN: | 9780471828259 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Call number: | 0471149586:ONLINE Show nearby items on shelf |
Title: | Conformal Differential Geometry and Its Generalizations |
Author(s): |
Akivis |
Date: | 1996 |
Publisher: | Wiley-Interscience |
Size: | 1 online resource (401 p.) |
ISBN: | 9780471149583 |
Series: | eBooks |
Series: | Wiley Online Library |
Series: | Wiley 2016 package purchase |
Keywords: | Mathematics |
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Call number: | SPRINGER-2016-9789811009167:ONLINE Show nearby items on shelf |
Title: | Geometry of Cauchy-Riemann Submanifolds |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (390 p.) |
Note: | 10.1007/978-981-10-0916-7 |
Contents: | Chapter 1. CR-warped submanifolds in Kaehler manifolds -- Chapter 2. CR Submanifolds and -invariants -- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere -- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations - - Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds -- Chapter 6. Lorentzian geometry and CR submanifolds -- Chapter 7. Submanifolds in holomorphic statistical manifolds -- Chapter 8. CR Submanifolds in complex and Sasakian space forms -- Cha pter 9. CR-Doubly warped product submanifolds -- Chapter 10. Ideal CR submanifolds -- Chapter 11. Submersions of CR submanifolds -- Chapter 12. CR Submanifolds of semi-Kaehler manifolds -- Chapter 13. Paraquaternionic CR submanifolds |
ISBN: | 9789811009167 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematical physics , Mathematics , Differential Geometry , Mathematical Physics , Convex and Discrete Geometry |
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Call number: | SPRINGER-2016-9789811005190:ONLINE Show nearby items on shelf |
Title: | Recent Advances in Mathematical Sciences Selected Papers from ICREM7 2015 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (109 p.) |
Note: | 10.1007/978-981-10-0519-0 |
Contents: | Chapter 1: Counting Trees and Rooted Trees with Applications -- Chapter 2: Boundedness and Stability of Leslie-Gower Model with Sokol-Howell Functional Response -- Chapter 3: Fifth order Four Stage Explicit Trigonometrically-fitted Runge–Kutta– Nystrӧm Methods -- Chapter 4: Modified Homotopy Perturbation Method For Fredholm-Volterra Integro-Differential Equation -- Chapter 5: Simultaneous Effects of Soret and Dufour on the Unsteady Stagnation Point Flow of Micropolar Fluid towards a Permeable S tretching Sheet -- Chapter 6: One-Step Implicit Hybrid Method for Solving Semi-Explicit Index-1 Differential Algebraic Equations -- Chapter 7: An Artificial Intelligence Strategy for the Prediction of Wind Speed and Direction in Sarawak for Wind Energy Ma pping -- Chapter 8: Stability Analysis of Dengue Disease Using Host – Vector Model -- Chapter 9: Simple Motion Evasion Differential Game of One Pursuer and One Evader. |
ISBN: | 9789811005190 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebra , Mathematical analysis , Analysis (Mathematics) , Game theory , Geometry , Operations research , Management science , Mathematical physics , Mathematics , Analysis , Mathematical Physics , Algebra , Geometry , Operations Research, Management Science , Game Theory, Economics, Social and Behav. Sciences |
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Call number: | SPRINGER-2016-9789462391925:ONLINE Show nearby items on shelf |
Title: | Cartan Geometries and their Symmetries A Lie Algebroid Approach |
Author(s): |
Mike Crampin |
Date: | 2016 |
Size: | 1 online resource (290 p.) |
Note: | 10.2991/978-94-6239-192-5 |
Contents: | Lie groupoids and Lie algebroids -- Connections on Lie groupoids and Lie algebroids -- Groupoids of ﬁbre morphisms -- Four case studies -- Symmetries -- Cartan geometries -- A comparison with alternative approaches -- Inﬁnitesimal Cartan geomet ries on TM -- Projective geometry: the full version -- Conformal geometry: the full version -- Developments and geodesics -- Cartan theory of second-order diﬀerential equations. |
ISBN: | 9789462391925 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Atlantis Studies in Variational Geometry: 4 |
Keywords: | Mathematics , Differential geometry , Mathematics , Differential Geometry |
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Call number: | SPRINGER-2016-9784431561040:ONLINE Show nearby items on shelf |
Title: | Mathematical Challenges in a New Phase of Materials Science Kyoto, Japan, August 2014 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (21 p.) |
Note: | 10.1007/978-4-431-56104-0 |
ISBN: | 9784431561040 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 166 |
Keywords: | Mathematics , Dynamics , Ergodic theory , Partial differential equations , Convex geometry , Discrete geometry , Physics , Mathematics , Partial Differential Equations , Mathematical Methods in Physics , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry |
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Call number: | SPRINGER-2016-9784431560210:ONLINE Show nearby items on shelf |
Title: | Geometry and Topology of Manifolds 10th China-Japan Conference 2014 |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (10 p.) |
Note: | 10.1007/978-4-431-56021-0 |
ISBN: | 9784431560210 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 154 |
Keywords: | Mathematics , Partial differential equations , Differential geometry , Manifolds (Mathematics) , Complex manifolds , Mathematics , Differential Geometry , Manifolds and Cell Complexes (incl. Diff.Topology) , Partial Differential Equations |
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Call number: | SPRINGER-2016-9784431559788:ONLINE Show nearby items on shelf |
Title: | Information Geometry and Its Applications |
Author(s): |
Shun-ichi Amari |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (373 p.) |
Note: | 10.1007/978-4-431-55978-8 |
Contents: | 1 Manifold, Divergence and Dually Flat Structure -- 2 Exponential Families and Mixture Families of Probability -- 3 Invariant Geometry of Manifold of Probability -- 4 α-Geometry, Tsallis q-Entropy and Positive-Definite -- 5 Elements of Differentia l Geometry -- 6 Dual Affine Connections and Dually Flat Manifold -- 7 Asymptotic Theory of Statistical Inference -- 8 Estimation in the Presence of Hidden Variables -- 9 Neyman–Scott Problem -- 10 Linear Systems and Time Series -- 11 Machine Learning -- 12 Natural Gradient Learning and its Dynamics in Singular -- 13 Signal Processing and Optimization -- Index |
ISBN: | 9784431559788 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Applied Mathematical Sciences: 194 |
Keywords: | Mathematics , Computer science , Computer mathematics , Differential geometry , Statistics , Mathematics , Differential Geometry , Mathematical Applications in Computer Science , Statistical Theory and Methods |
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Call number: | SPRINGER-2016-9783662489932:ONLINE Show nearby items on shelf |
Title: | Mathematical Analysis II |
Author(s): |
Vladimir A Zorich |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (720 p.) |
Note: | 10.1007/978-3-662-48993-2 |
Contents: | 9 Continuous Mappings (General Theory) -- 10 Differential Calculus from a General Viewpoint -- 11 Multiple Integrals -- 12 Surfaces and Differential Forms in Rn -- 13 Line and Surface Integrals -- 14 Elements of Vector Analysis and Field Theory -- 1 5 Integration of Differential Forms on Manifolds -- 16 Uniform Convergence and Basic Operations of Analysis -- 17 Integrals Depending on a Parameter -- 18 Fourier Series and the Fourier Transform -- 19 Asymptotic Expansions -- Topics and Questions for Mid term Examinations -- Examination Topics -- Examination Problems (Series and Integrals Depending on a Parameter) -- Intermediate Problems (Integral Calculus of Several Variables) -- Appendices: A Series as a Tool (Introductory Lecture) -- B Change of Varia bles in Multiple Integrals -- C Multidimensional Geometry and Functions of a Very Large Number of Variables -- D Operators of Field Theory in Curvilinear Coordinates -- E Modern Formula of Newton–Leibniz -- References -- Index of Basic |
Notation -- Subject Index -- Name Index | |
ISBN: | 9783662489932 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical analysis , Analysis (Mathematics) , Physics , Mathematics , Analysis , Theoretical, Mathematical and Computational Physics |
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Call number: | SPRINGER-2016-9783662454503:ONLINE Show nearby items on shelf |
Title: | The Universe of Conics From the ancient Greeks to 21st century developments |
Author(s): |
Georg Glaeser |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (488 p.) |
Note: | 10.1007/978-3-662-45450-3 |
Contents: | 1 Introduction -- 2 Euclidean plane -- 3 Differential Geometry -- 4 Eucledian 3-space -- 5 Projective Geometry -- 6 Projective conics -- 7 Polarities and pencils -- 8 Affine Geometry -- 9 Special problems -- 10 Other geometries -- Index |
ISBN: | 9783662454503 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Applied mathematics , Engineering mathematics , Geometry , Mathematics , Geometry , Applications of Mathematics |
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Call number: | SPRINGER-2016-9783658106331:ONLINE Show nearby items on shelf |
Title: | Manifolds, Sheaves, and Cohomology |
Author(s): |
Torsten Wedhorn |
Date: | 2016 |
Size: | 1 online resource (354 p.) |
Note: | 10.1007/978-3-658-10633-1 |
Contents: | Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohom ology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis |
ISBN: | 9783658106331 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential geometry , Mathematics , Category Theory, Homological Algebra , Topological Groups, Lie Groups , Differential Geometry , Global Analysis and Analysis on Manifolds |
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Call number: | SPRINGER-2016-9783319338774:ONLINE Show nearby items on shelf |
Title: | Spectral Theory of Infinite-Area Hyperbolic Surfaces |
Author(s): |
David Borthwick |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (37 p.) |
Note: | 10.1007/978-3-319-33877-4 |
Contents: | Introduction -- Hyperbolic Surfaces -- Selberg Theory for Finite-Area Hyperbolic Surfaces -- Spectral Theory for the Hyperbolic Plane -- Model Resolvents for Cylinders -- The Resolvent -- Spectral and Scattering Theory -- Resonances and Scattering Poles -- Growth Estimates and Resonance Bounds -- Selberg Zeta Function -- Wave Trace and Poisson Formula -- Resonance Asymptotics -- Inverse Spectral Geometry -- Patterson-Sullivan Theory -- Dynamical Approach to the Zeta Function -- Numerical Computatio ns -- Appendix -- References -- Notation Guide -- Index |
ISBN: | 9783319338774 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Progress in Mathematics: 318 |
Keywords: | Mathematics , Functional analysis , Functions of complex variables , Partial differential equations , Hyperbolic geometry , Physics , Mathematics , Functional Analysis , Partial Differential Equations , Functions of a Complex Variable , Hyperbolic Geometry , Mathematical Methods in Physics |
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Call number: | SPRINGER-2016-9783319323152:ONLINE Show nearby items on shelf |
Title: | Hyperbolicity of Projective Hypersurfaces |
Author(s): |
Simone Diverio |
Date: | 2016 |
Size: | 1 online resource (89 p.) |
Note: | 10.1007/978-3-319-32315-2 |
Contents: | - Introduction -- Kobayashi hyperbolicity: basic theory -- Algebraic hyperbolicity -- Jets spaces -- Hyperbolicity and negativity of the curvature -- Hyperbolicity of generic surfaces in projective 3-space -- Algebraic degeneracy for projective hyp ersurfaces |
ISBN: | 9783319323152 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | IMPA Monographs : 5 |
Keywords: | Mathematics , Algebraic geometry , Functions of complex variables , Differential geometry , Mathematics , Differential Geometry , Algebraic Geometry , Several Complex Variables and Analytic Spaces |
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Call number: | SPRINGER-2016-9783319321622:ONLINE Show nearby items on shelf |
Title: | Open Problems in Mathematics |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (17 p.) |
Note: | 10.1007/978-3-319-32162-2 |
Contents: | Preface (J.F. Nash, Jr., M.Th. Rassias) -- Introduction (M. Gromov) -- 1. P Versus NP (S. Aaronson) -- 2. From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond (O. Barrett, F.W.K. Firk, S.J. Miller, C. Turnage-Butterbaugh) -- 3 . The Generalized Fermat Equation (M. Bennett, P. Mihăilescu, S. Siksek) -- 4. The Conjecture of Birch and Swinnerton-Dyer (J. Coates) -- 5. An Essay on the Riemann Hypothesis (A. Connes) -- 6. Navier Stokes Equations (P. Constantin) -- 7. Plateau's Prob lem (J. Harrison, H. Pugh) -- 8. The Unknotting Problem (L.H. Kauffman) -- 9. How Can Cooperative Game Theory Be Made More Relevant to Econimics? (E. Maskin) -- 10. The Erdős-Szekeres Problem (W. Morris, V. Soltan) -- 11. Novikov's Conjecture (J. Rosenbe rg) -- The Discrete Logarithm Problem (R. Schoof) -- 13. Hadwiger's Conjecture (P. Seymour) -- 14. The Hadwiger-Nelson Problem (A. Soifer) -- 15. Erdős's Unit Distance Problem (E. Szemerédi) -- 16. Goldbach's Conjectures (R.C. Vaughan) -- 17. |
The Hodge Conjecture (C. Voisin). | |
ISBN: | 9783319321622 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Algebraic geometry , Partial differential equations , Game theory , Differential geometry , Number theory , Operations research , Management science , Mathematics , Number Theory , Algebraic Geometry , Differential Geometry , Partial Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Operations Research, Management Science |
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Call number: | SPRINGER-2016-9783319320854:ONLINE Show nearby items on shelf |
Title: | Geometry, Algebra and Applications: From Mechanics to Cryptography |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (198 p.) |
Note: | 10.1007/978-3-319-32085-4 |
Contents: | 1 W. Batat, P. M. Gadea, J. A. Oubiña, A survey on homogeneous structures on the classical hyperbolic spaces -- 2 A. Bejancu, On the (1 + 3) threading of spacetime -- 3 M. Brozos-Vázquez, E. Calviño-Louzao, E. García-Río, R. Vázquez-Lorenzo, L ocal structure of self-dual gradient Yamabe solitons -- 4 G. Calvaruso, The prescribed curvature problem in low dimension -- 5 M. Castrillón López, P. L. García, Euler-Poincare reduction by a subgroup of symmetries as an optimal control problem -- 6 M. Castrillón López, T. S. Ratiu, Morse families and Lagrangian submanifolds -- 7 R. Durán Díaz, L. Hernández Encinas, Special primes: properties and applications -- 8 F. Etayo, Rotation Minimizing vector fields and frames in Riemannian manifolds -- 9 R. Ferreiro Pérez, Local anomaly cancellation and equivariant cohomology of jet bundles -- 10 A. Fúster-Sabater, F. Montoya Vitini, Classes of nonlinear filters for stream ciphers -- 11 V. Gayoso Martínez, L. Hernández Encinas, A. Martín Muñoz, |
Implementation of cryptographic algorithms for elliptic curves -- 12 R. Hernández-Amador, J. Monterde, J. Vallejo, Supermanifolds, symplectic geometry and curvature -- 13 A. Marcelo, F. Marcelo, C. Rodríguez, Prime submodules and symmetric algebra s -- 14 A. Martín del Rey, G. Rodríguez Sánchez, Application to cybersecurity of the stability theory of the systems of ordinary differential equations -- 15 I. V. Mykytyuk, On the non-triviality of the eight-form T4(w) on manifolds with a Spin(9)-stru cture -- 16 A. Peinado, Flaws in the application of Number Theory in Key Distribution Schemes for Multicast Networks -- 17 L. Pozo, E. Rosado, Einstein-Hilbert Lagrangian induced on the linear frame bundle | |
ISBN: | 9783319320854 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 161 |
Keywords: | Mathematics , Data structures (Computer science) , Data encryption (Computer science) , Coding theory , Differential geometry , Mathematical physics , Mathematics , Mathematical Physics , Differential Geometry , Data Encryption , Data Structures , Coding and Information Theory |
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Call number: | SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf |
Title: | Essays in Mathematics and its Applications In Honor of Vladimir Arnold |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (22 p.) |
Note: | 10.1007/978-3-319-31338-2 |
Contents: | A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of |
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar) | |
ISBN: | 9783319313382 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds |
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Call number: | SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf |
Title: | Computational Analysis AMAT, Ankara, May 2015 Selected Contributions |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (396 p.) |
Note: | 10.1007/978-3-319-28443-9 |
Contents: | Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions |
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry | |
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.). | |
ISBN: | 9783319284439 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 155 |
Keywords: | Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions |
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Call number: | SPRINGER-2016-9783319281063:ONLINE Show nearby items on shelf |
Title: | University of Toronto Mathematics Competition (2001–2015) |
Author(s): |
Edward J Barbeau |
Date: | 2016 |
Size: | 1 online resource (1 p.) |
Note: | 10.1007/978-3-319-28106-3 |
Contents: | Preface -- 1. Problems of the Contests -- 2. Algebra -- 3. Inequalities -- 4. Sequences and Series -- 5. Calculus and its Applications -- 6. Other Topics in Analysis -- 7. Linear Algebra -- 8. Geometry -- 9. Group Theory -- 10. Combinatorics and Fi nite Mathematics -- 11. Number Theory -- Appendix A: Definitions, Conventions, Notation, and Basics -- Appendix B: Top-Ranking Students -- Index. |
ISBN: | 9783319281063 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Group theory , Differential equations , Functions of real variables , Geometry , Mathematics , Real Functions , Geometry , Group Theory and Generalizations , Ordinary Differential Equations |
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Call number: | SPRINGER-2016-9783319276984:ONLINE Show nearby items on shelf |
Title: | Moving Interfaces and Quasilinear Parabolic Evolution Equations |
Author(s): |
Jan Prüss |
Date: | 2016 |
Size: | 1 online resource (609 p.) |
Note: | 10.1007/978-3-319-27698-4 |
Contents: | Preface -- Basic Notations -- General References -- Part I Background -- 1Problems and Strategies -- 2.Tools from Differential Geometry -- Part II Abstract Theory -- 3Operator Theory and Semigroups -- 4.Vector-Valued Harmonic Analysis -- 5.Quasilin ear Parabolic Evolution Equations -- Part III Linear Theory -- 6.Elliptic and Parabolic Problems -- 7.Generalized Stokes Problems -- 8.Two-Phase Stokes Problems -- Part IV Nonlinear Problems -- 9.Local Well-Posedness and Regularity -- 10.Linear Stability of Equilibria -- 11.Qualitative Behaviour of the Semiows -- 12.Further Parabolic Evolution Problems -- Biographical Comments -- Outlook and Future Challenges -- References -- List of Figures -- List of Symbols -- Subject Index |
ISBN: | 9783319276984 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Monographs in Mathematics: 105 |
Keywords: | Mathematics , Functional analysis , Partial differential equations , Physics , Mathematics , Partial Differential Equations , Mathematical Methods in Physics , Functional Analysis |
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Call number: | SPRINGER-2016-9783319276373:ONLINE Show nearby items on shelf |
Title: | The Many Faces of Maxwell, Dirac and Einstein Equations A Clifford Bundle Approach |
Author(s): |
Jr Rodrigues Waldyr A |
Date: | 2016 |
Edition: | 2nd ed. 2016 |
Size: | 1 online resource (587 p.) |
Note: | 10.1007/978-3-319-27637-3 |
Contents: | Preface -- Introduction -- Multivector and Extensor Calculus -- The Hidden Geometrical Nature of Spinors -- Some Differential Geometry -- Clifford Bundle Approach to the Differential Geometry of Branes -- Some Issues in Relativistic |
Spacetime Theories -- Clifford and Dirac-Hestenes Spinor Fields -- A Clifford Algebra Lagrangian Formalism in Minkowski Spacetime -- Conservation Laws on Riemann-Cartan and Lorentzian Spacetimes -- The DHE on a RCST and the Meaning of | |
Active Local Lorentz Invariance -- On the Nature of the Gravitational Field -- On the Many Faces of Einstein Equations -- Maxwell, Dirac and Seiberg-Witten Equations -- Superparticles and Superfields -- Maxwell, Einstein, Dirac and | |
Navier-Stokes Equations -- Magnetic Like Particles and Elko Spinor Fields.-Appendices A1-5 -- Acronyms and Abbreviations -- List of Symbols -- Index | |
ISBN: | 9783319276373 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Lecture Notes in Physics: 922 |
Keywords: | Physics , Mathematical physics , Differential geometry , Gravitation , Physics , Classical and Quantum Gravitation, Relativity Theory , Mathematical Applications in the Physical Sciences , Differential Geometry |
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Call number: | SPRINGER-2016-9783319270760:ONLINE Show nearby items on shelf |
Title: | Surfaces in Classical Geometries A Treatment by Moving Frames |
Author(s): |
Gary R Jensen |
Date: | 2016 |
Size: | 1 online resource (61 p.) |
Note: | 10.1007/978-3-319-27076-0 |
Contents: | 1. Introduction -- 2. Lie Groups -- 3. Theory of Moving Frames -- 4. Euclidean Geometry -- 5. Spherical Geometry -- 6. Hyperbolic Geometry -- 7. Complex Structure -- 8. Minimal Immersions in Euclidean Space -- 9. Isothermic Immersions -- 10. The Bo nnet Problem -- 11. CMC 1 Surfaces in H3 -- 12. Möbius Geometry -- 13. Complex Structure and Möbius Geometry -- 14. Isothermic Immersions in Möbius Space -- 15. Lie Sphere Geometry -- Solutions to Select Problems -- References -- Index |
ISBN: | 9783319270760 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Differential Geometry , Convex and Discrete Geometry |
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Call number: | SPRINGER-2016-9783319266541:ONLINE Show nearby items on shelf |
Title: | Riemannian Geometry |
Author(s): |
Peter Petersen |
Date: | 2016 |
Edition: | 3rd ed. 2016 |
Size: | 1 online resource (1 p.) |
Note: | 10.1007/978-3-319-26654-1 |
Contents: | Preface -- 1. Riemannian Metrics.-2. Derivatives -- 3. Curvature -- 4. Examples -- 5. Geodesics and Distance -- 6. Sectional Curvature Comparison I.- 7. Ricci Curvature Comparison.- 8. Killing Fields -- 9. The Bochner Technique -- 10. Symmetric Spa ces and Holonomy -- 11. Convergence -- 12. Sectional Curvature Comparison II -- Bibliography -- Index |
ISBN: | 9783319266541 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Graduate Texts in Mathematics: 171 |
Keywords: | Mathematics , Differential geometry , Mathematics , Differential Geometry |
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Call number: | SPRINGER-2016-9783319243375:ONLINE Show nearby items on shelf |
Title: | Maximum Principles and Geometric Applications |
Author(s): |
Luis J Alías |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (570 p.) |
Note: | 10.1007/978-3-319-24337-5 |
Contents: | A crash course in Riemannian geometry -- The Omori-Yau maximum principle -- New forms of the maximum principle -- Sufficient conditions for the validity of the weak maximum principle -- Miscellany results for submanifolds -- Applications to hypersu rfaces -- Hypersurfaces in warped products -- Applications to Ricci Solitons -- Spacelike hypersurfaces in Lorentzian spacetimes |
ISBN: | 9783319243375 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Partial differential equations , Geometry , Mathematics , Global Analysis and Analysis on Manifolds , Partial Differential Equations , Geometry |
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Call number: | SPRINGER-2016-9783319224077:ONLINE Show nearby items on shelf |
Title: | Quantization, PDEs, and Geometry The Interplay of Analysis and Mathematical Physics |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (11 p.) |
Note: | 10.1007/978-3-319-22407-7 |
Contents: | Introduction -- Todor Gramchev: Gelfand-Shilov Spaces: Structural Properties and Applications to Pseudodifferential Operators in \R^n -- Miroslav Englis: An Excursion into Berezin-Toeplitz Quantization and Related Topics -- Andrew Comech: Global At traction to Solitary Waves -- Irina Markina: Geodesics in Geometry with Constraints and Applications |
ISBN: | 9783319224077 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Operator Theory: Advances and Applications: 251 |
Keywords: | Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Partial differential equations , Differential geometry , Mathematical physics , Mathematics , Partial Differential Equations , Differential Geometry , Global Analysis and Analysis on Manifolds , Mathematical Physics |
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Call number: | SPRINGER-2016-9783319161396:ONLINE Show nearby items on shelf |
Title: | Forging Connections between Computational Mathematics and Computational Geometry Papers from the 3rd International Conference on Computational Mathematics and Computational Geometry |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (30 p.) |
Note: | 10.1007/978-3-319-16139-6 |
Contents: | Numerical Analysis of Reacting Flow in a Carbon Monoxide Boiler -- Some Efficient Schemes for Two-stage Gauss Method Ratnam Vigneswaran -- Effect of External Acceleration on the Flow Resistance in a Stenosed Catheterized Artery -- Matrix Induced by Change of Variables in a System of Polynomial Equations -- Varying Iteration Accuracy Using Inexact Conjugate Gradients in Control Problems Governed by Partial Differential Equations -- Dynamics of Hepatitis C Virus with Saturation Incidence Rate -- Some Groups with the Rapid Decay Property -- Köthe – Toeplitz Duals and Matrix Transformations of the Sequence Space bv(p) -- Quasi Class Q Operator -- Common Fixed Points of Two Finite Families of Quasicontractive Type Operators in Normed Spaces -- Simulta neous Test Procedures in Terms of p-value Copulae -- Determining the Long-run Equilibrium Price by the Mean Reversion Process and the Cobweb Model -- Application of Maximal Segmental Score in Genome-wide Association Studies When Raw Data is |
Unavailable -- Comparison of the Generalized Least Squares F-Test for the Nested Error Regression Model -- Review of Asset Return Distribution and Its Application -- Sampling Moments of Resamples -- Designing Chain Sampling Plan (ChSP-1) under Lot Q uality Protection -- Minimum ATI ChSP – 4 (c1, c2) Plans -- On Compromise Mixed Allocation in Multivariate Stratified Sampling with Random Parameters -- Graphics Lipschitz-Killing Curvatures of the Excursion Sets of Skew Student-t Random Fields -- Optim ization of Power Transmission in Clustering Stochastic Networks As a Queuing System -- On the Total Closed Edge-Neighbourhood Graph of a Graph -- Combinatorial Cosmology? Time’s Arrow from a Graph Theorist’s Point of View | |
ISBN: | 9783319161396 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 124 |
Keywords: | Statistics , Computer mathematics , Statistics , Statistical Theory and Methods , Statistics, general , Computational Mathematics and Numerical Analysis |
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Call number: | SPRINGER-2014-9784431545712:ONLINE Show nearby items on shelf |
Title: | Nevanlinna Theory in Several Complex Variables and Diophantine Approximation [electronic resource] |
Author(s): |
Junjiro Noguchi Jrg Winkelmann |
Date: | 2014 |
Publisher: | Tokyo : Springer Japan : Imprint: Springer |
Size: | 1 online resource |
Note: | The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers. This book with ninechapters systematically de scribes Nevanlinna theory of meromorphic maps between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 tothe current state of research. Chapter 2 present s the First Main Theorem for coherent ideal sheaves in a very general form. With the preparation of plurisubharmonic functions, how the theory to be generalized in a higher dimension isdescribed. In Chap. 3 the Second Main Theorem for differentiably non-d egenerate meromorphic maps by Griffiths and others is proved as a prototype of higher dimensional Nevanlinna theory. Establishing such a Second Main Theorem forentire curves in general complex algebraic varieties is a wide-open problem. In Chap. 4, the Ca rtan-Nochka Second Main Theorem in the linear projective case and the Logarithmic Bloch-Ochiai Theorem in the case of general algebraicvarieties are proved. Then the theory of entire curves in semi-abelian varieties, including the Second Main Theorem of N oguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to thenotion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are dis cussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt withfrom the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is d iscussed. Finally, in Chap. 9, the theorems of Roth, Schmidt,Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4, |
Contents: | Nevanlinna Theory of Meromorphic Functions |
First Main Theorem | |
Differentiably Non | |
Degenerate Meromorphic Maps | |
Entire Curves into Algebraic Varieties | |
Semi | |
Abelian Varieties | |
Entire Curves into Semi | |
Abelian Varieties | |
Kobayashi Hyperbolicity | |
Nevanlinna Theory over Function Fields | |
Diophantine Approximation | |
Bibliography | |
Index | |
Symbols | |
ISBN: | 9784431545712 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v350 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Functions of complex variables , Differential equations, partial , Number theory |
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Call number: | SPRINGER-2014-9783642553615:ONLINE Show nearby items on shelf |
Title: | Algebra, Geometry and Mathematical Physics [electronic resource] : AGMP, Mulhouse, France, October 2011 |
Author(s): |
Abdenacer Makhlouf Eugen Paal Sergei D Silvestrov Alexander Stolin |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetriesand conservation laws and mathematical physics and applications, the book covers deformation theory and quantization Hom-algebras and n-ary algebraic structures Hopf algebra, integrable systems and related math structures jet theoryand Weil bundles Lie theory and applications non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures ofLie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry andapplications in physics and beyond. The book benefits a broad audience of researchers a nd advanced students |
Contents: | Part I Algebra |
Part II Geometry | |
Part III Dynamical Symmetries and Conservation Laws | |
Part IV Mathematical Physics and Applications | |
ISBN: | 9783642553615 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v85 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Topological Groups , Global differential geometry , Engineering mathematics |
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Call number: | SPRINGER-2014-9783642543012:ONLINE Show nearby items on shelf |
Title: | Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data [electronic resource] |
Author(s): |
Carl-Fredrik Westin Anna Vilanova Bernhard Burgeth |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Arising from the fourth Dagstuhl conference entitled Visualization and Processing of Tensors and Higher Order Descriptors for Multi-Valued Data (2011), this book offers a broad and vivid view of current work in this emergingfield. Topics covered rang e from applications of the analysis of tensor fields to research on their mathematical and analytical properties. Part I, Tensor Data Visualization, surveys techniques for visualization of tensors and tensorfields in engineering, discusses the current sta te of the art and challenges, and examines tensor invariants and glyph design, including an overview of common glyphs. The second Part, Representation and Processing of Higher-orderDescriptors, describes a matrix representation of local phase, outlines ma thematical morphological operations techniques, extended for use in vector images, and generalizes erosion to the space of diffusion weighted MRI. Part III,Higher Order Tensors and Riemannian-Finsler Geometry, offers powerful mathematical language to mode l and analyze large and complex diffusion data such as High Angular Resolution Diffusion Imaging (HARDI) and Diffusion Kurtosis Imaging(DKI). A Part entitled Tensor Signal Processing presents new methods for processing tensor-valued data, including a nove l perspective on performing voxel-wise morphometry of diffusion tensor data using kernel-based approach, exploresthe free-water diffusion model, and reviews proposed approaches for computing fabric tensors, emphasizing trabecular bone research. The last P art, Applications of Tensor Processing, discusses metric and curvature tensors, two of themost studied tensors in geometry processing. Also covered is a technique for diagnostic prediction of first-episode schizophrenia patients based on brain diffusion M RI data. The last chapter presents an interactive system integratingthe visual analysis of diffusion MRI tractography with data from electroencephalography |
Contents: | Part I: Tensor Data Visualization: Top Challenges in the Visualization of Engineering Tensor Fields: M Hlawitschka et al |
Tensor Invariants and Glyph Design: A. Kratz et al | |
Part II: Representation and Processing of Higher | |
order Descriptors: Monomial Phase: A Matrix Representation of Local Phase: H. Knutsson et al | |
Order Based Morphology for Colour Images via Matrix Fields: B. Burgeth et al | |
Sharpening Fibers in Diffusion Weighted MRI via Erosion: T.C.J. Dela Haije et al | |
Part III: Higher Order Tensors and Riemannian | |
Finsler Geometry: Higher | |
Order Tensors in Diffusion Imaging: Th | |
ISBN: | 9783642543012 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Visualization, 1612-3786 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Computer graphics , Differential equations, partial , Visualization , Global differential geometry |
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Call number: | SPRINGER-2014-9783642401572:ONLINE Show nearby items on shelf |
Title: | Progress in Mathematical Relativity, Gravitation and Cosmology [electronic resource] : Proceedings of the Spanish Relativity Meeting ERE2012, University of Minho, Guimares, Portugal, September 3-7, 2012 |
Author(s): |
Alfonso Garca-Parrado Filipe C Mena Filipe Moura Estelita Vaz |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimares, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, frommathematical cosmology, numeri cal relativity and black holes to string theory and quantum gravity. Under the title Progress in Mathematical Relativity, Gravitation and Cosmology, ERE 2012 was attended by an exceptionalinternational list of over a hundred participants from the five con tinents and over forty countries. ERE is organized every year by one of the Spanish or Portuguese groups working in this area and is supported by the Spanish Society ofGravitation and Relativity (SEGRE). This book will be of interest to researchers in mat hematics and physics |
Contents: | Part I Plenary sessions |
Part II Parallel sessions | |
Part III Poster presentations | |
ISBN: | 9783642401572 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v60 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Global differential geometry , Mathematical physics |
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Call number: | SPRINGER-2014-9783642344442:ONLINE Show nearby items on shelf |
Title: | Neuromathematics of Vision [electronic resource] |
Author(s): |
Giovanna Citti Alessandro Sarti |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book is devoted to the study of the functional architecture of the visual cortex. Its geometrical structure is the differential geometry of the connectivity between neural cells. This connectivity is building and shapingthe hidden brain structur es underlying visual perception. The story of the problem runs over the last 30 years, since the discovery of Hubel and Wiesel of the modular structure of the primary visual cortex, and slowly cams towards atheoretical understanding of the experimental da ta on what we now know as functional architecture of the primary visual cortex. Experimental data comes from several domains: neurophysiology, phenomenology of perception andneurocognitive imaging. Imaging techniques like functional MRI and diffusion tens or MRI allow to deepen the study of cortical structures. Due to this variety of experimental data, neuromathematematics deals with modelling bothcortical structures and perceptual spaces. From the mathematical point of view, neuromathematical call for new instruments of pure mathematics: sub-Riemannian geometry models horizontal connectivity, harmonic analysis in noncommutative groups allows to understand pinwheels structure, as well as non-linear dimensionality reduction is at the base of many neural mor phologies and possibly of the emergence of perceptual units. But at the center of theneurogeometry is the problem of harmonizing contemporary mathematical instruments with neurophysiological findings and phenomenological experiments in an unitary science of vision. The contributions to this book come from the veryfounders of the discipline |
Contents: | Landmarks for Neurogeometry |
Shape, Shading, Brain and Awareness | |
From functional architectures to percepts: a neuro mathematical Approach | |
Cuspless Sub | |
Riemannian Geodesics within the Euclidean Motion Group SE(d) | |
Psychophysics, Gestalts and Games | |
Remarks on invariance in the primary visual systems of mammals | |
Hebbian Learning of the Statistical and Geometrical Structure of Visual Input | |
ISBN: | 9783642344442 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Morphogenesis, 2195-1934 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer vision , Biomedical engineering , Consciousness |
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Call number: | SPRINGER-2014-9783642315435:ONLINE Show nearby items on shelf |
Title: | An Introduction to Compactness Results in Symplectic Field Theory [electronic resource] |
Author(s): |
Casim Abbas |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in thelast decade. The author presents a systematic introduction providing a lot of background material, much of which is scattered throughout the literature. Since the content grew out of lectures given by the author, the main aim is toprovide an entry point into symplectic field the ory for non-specialists and for graduate students. Extensions of certain compactness results, which are believed to be true by the specialists but have not yet been published in theliterature in detail, top off the scope of this monograph |
ISBN: | 9783642315435 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry , Cell aggregation Mathematics |
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Call number: | SPRINGER-2014-9783642310317:ONLINE Show nearby items on shelf |
Title: | Vladimir I. Arnold - Collected Works [electronic resource] : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972 |
Author(s): |
Vladimir I Arnold Alexander B Givental Boris A Khesin Alexander N Varchenko Victor A Vassiliev Oleg Ya Viro |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. Thissecond volume of his Coll ected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry |
Contents: | 1 Variational principle for three |
dimensional steady | |
state flows of an ideal fluid | |
2 On the Riemann curvature of diffeomorphism groups | |
3 Sur la topologie des coulements stationnaires des fluides parfaits (in French) | |
4 Conditions for non | |
linear stability of stationary plane curvilinear flows of an ideal fluid | |
5 On the topology of three | |
dimensional steady flows of an ideal fluid | |
6 On an a priori estimate in the theory of hydrodynamical stability | |
7 On the differential geometry of infinite | |
dimensional Lie groups and its application to the hydrodynamics of perfect fluids | |
8 On | |
ISBN: | 9783642310317 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Vladimir I. Arnold - Collected Works : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Mathematical physics |
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Call number: | SPRINGER-2014-9783319096803:ONLINE Show nearby items on shelf |
Title: | Topology [electronic resource] : An Introduction |
Author(s): |
Stefan Waldmann |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and isalso omnipresent in m ore applied parts of mathematics. Therefore students will need fundamental topological notions already at an early stage in their bachelor programs. While there are already many excellent monographs on generaltopology, most of them are too large for a fir st bachelor course. Topology fills this gap and can be either used for self-study or as the basis of a topology course |
Contents: | Introduction |
Topological Spaces and Continuity | |
Construction of Topological Spaces | |
Convergence in Topological Spaces | |
Compactness | |
Continuous Functions | |
Baires Theorem | |
ISBN: | 9783319096803 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Topology |
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Call number: | SPRINGER-2014-9783319086903:ONLINE Show nearby items on shelf |
Title: | Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning [electronic resource] |
Author(s): |
Frdric Jean |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Nonholonomic systems are control systems which depend linearly on the control. Their underlying geometry is the sub-Riemannian geometry, which plays for these systems the same role as Euclidean geometry does for linear systems. Inparticular the usual notions of approximations at the first order, that are essential for control purposes, have to be defined in terms of this geometry. The aim of these notes is to present these notions of approximation and theirapplication to the motion planning problem f or nonholonomic systems |
Contents: | 1Geometry of nonholonomic systems |
2First | |
order theory | |
3Nonholonomic motion planning | |
4 Appendix A:Composition of flows of vector fields | |
5Appendix B: The different systems of privileged coordinates | |
ISBN: | 9783319086903 |
Series: | eBooks |
Series: | SpringerLink |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer science , Artificial intelligence , Systems theory , Global differential geometry |
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Call number: | SPRINGER-2014-9783319086668:ONLINE Show nearby items on shelf |
Title: | An Introduction to Riemannian Geometry [electronic resource] : With Applications to Mechanics and Relativity |
Author(s): |
Leonor Godinho Jos Natrio |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics ofmanifolds, differential fo rms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semestercourses in either of these subjects. The main i deas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to RiemannianGeometry ideal for self-study |
Contents: | Differentiable Manifolds |
Differential Forms | |
Riemannian Manifolds | |
Curvature | |
Geometric Mechanics | |
Relativity | |
ISBN: | 9783319086668 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry , Mechanics |
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Call number: | SPRINGER-2014-9783319077796:ONLINE Show nearby items on shelf |
Title: | Geometric Modeling in Probability and Statistics [electronic resource] |
Author(s): |
Ovidiu Calin Constantin Udrite |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest ofresearchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors hope that the present book will be a valuable referencefor researchers and graduate students in one of the afo rementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advancedundergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied bysoftware that is able to provide numerical computations of several information geometric objects. The read er will understand a flourishing field of mathematics in which very few books have been written so far |
Contents: | Part I: The Geometry of Statistical Models |
Statistical Models | |
Explicit Examples | |
Entropy on Statistical Models | |
KullbackLeibler Relative Entropy | |
Informational Energy | |
Maximum Entropy Distributions | |
Part II: Statistical Manifolds | |
An Introduction to Manifolds | |
Dualistic Structure | |
Dual Volume Elements | |
Dual Laplacians | |
Contrast Functions Geometry | |
Contrast Functions on Statistical Models | |
Statistical Submanifolds | |
Appendix A: Information Geometry Calculator | |
ISBN: | 9783319077796 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry , Distribution (Probability theory) , Mathematical statistics |
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Call number: | SPRINGER-2014-9783319070346:ONLINE Show nearby items on shelf |
Title: | Differential Characters [electronic resource] |
Author(s): |
Christian Br Christian Becker |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the productstructure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics. |
Contents: | Differential Characters and Geometric Chains |
Relative differential Cohomology | |
Index | |
ISBN: | 9783319070346 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2112 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry , Algebraic topology |
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Call number: | SPRINGER-2014-9783319063737:ONLINE Show nearby items on shelf |
Title: | Geometry of Manifolds with Non-negative Sectional Curvature [electronic resource] : Editors: Rafael Herrera, Luis Hernndez-Lamoneda |
Author(s): |
Owen Dearricott Fernando Galaz-Garca Lee Kennard Catherine Searle Gregor Weingart Wolfgang Ziller |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such asgeneral isometric grou p actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds,isoparametric hypersurfaces in spheres, contact C R and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems |
Contents: | Riemannian manifolds with positive sectional curvature |
An introduction to isometric group actions | |
A note on maximal symmetry rank, quasipositive curvature and low dimensional manifolds | |
Lectures on n | |
Sasakian manifolds | |
On the Hopf conjecture with symmetry | |
An Introduction to Exterior Differential Systems | |
ISBN: | 9783319063737 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2110 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Global differential geometry , Cell aggregation Mathematics |
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Call number: | SPRINGER-2014-9783319062488:ONLINE Show nearby items on shelf |
Title: | Geometric Methods in Physics [electronic resource] : XXXII Workshop, Biaowiea, Poland, June 30-July 6, 2013 |
Author(s): |
Piotr Kielanowski Pierre Bieliavsky Alexander Odesskii Anatol Odzijewicz Martin Schlichenmaier Theodore Voronov |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | The Biaowiea Workshops on Geometric Methods in Physics, which are hosted in the unique setting of the Biaowiea natural forest in Poland, are among the most important meetings in the field. Every year some 80 to 100participants from both the mathemati cs and physics world join to discuss new developments and to exchange ideas. The current volume was produced on the occasion of the 32nd meeting in 2013. It is now becoming a tradition that theWorkshop is followed by a School on Geometry and Physics, whic h consists of advanced lectures for graduate students and young researchers. Selected speakers at the 2013 Workshop were asked to contribute to this book, and their work wassupplemented by additional review articles. The selection shows that, despite its now long tradition, the workshop remains at the cutting edge of research. The 2013 Workshop also celebrated the 75th birthday of Daniel Sternheimer, andon this occasion the discussion mainly focused on his contributions to mathematical physics such as def ormation quantization, Poisson geometry, symplectic geometry and non-commutative differential geometry |
Contents: | Preface |
Part I: Deformation, Quantization: Scientific Landmarks of Daniel Sternheimer | |
Part II: Quantum Mechanics | |
Part III: Groups and Non | |
commutative Structures | |
Part IV: Differential Equations and Special Functions | |
Part V: General Methods | |
ISBN: | 9783319062488 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Trends in Mathematics, 2297-0215 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Group theory , Global analysis |
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Call number: | SPRINGER-2014-9783319056692:ONLINE Show nearby items on shelf |
Title: | Lobachevsky Geometry and Modern Nonlinear Problems [electronic resource] |
Author(s): |
Andrey Popov |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundredyears. The central sect ions cover the classical building blocks of hyperbolic Lobachevsky geometry, pseudo spherical surfaces theory, net geometrical investigative techniques of nonlinear differential equations in partial derivatives,and their applications to the analysis of th e physical models. As the sine-Gordon equation appears to have profound geometrical roots and numerous applications to modern nonlinear problems, it is treated as a universalobject of investigation, connecting many of the problems discussed. The aim of th is book is to form a general geometrical view on the different problems of modern mathematics, physics and natural science in general in the contextof non-Euclidean hyperbolic geometry |
Contents: | Introduction |
1 Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space | |
2 The problem of realizing the Lobachevsky geometry in Euclidean space | |
3 The sine | |
Gordon equation: its geometry and applications of current interest | |
4 Lobachevsky geometry and nonlinear equations of mathematical physics | |
5 Non | |
Euclidean phase spaces. Discrete nets on the Lobachevsky plane and numerical integration algorithms for 2 | |
equations | |
Bibliography | |
Index | |
ISBN: | 9783319056692 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Differential equations, partial |
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