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SPIRES-BOOKS: FIND KEYWORD SPECTRUM ANALYSIS *END*INIT* use /tmp/qspiwww.webspi1/7486.144 QRY 131.225.70.96 . find keyword spectrum analysis ( in books using www Cover
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Call number:9781608070480:ONLINE Show nearby items on shelf
Title:Discrete oscillator design
Author(s): Randall W. Rhea
Date:2010
Publisher:Artech House
Size:1 online resource (450 p.)
Contents:Chapter 1 Linear Techniques -- Open-Loop Method -- Match Requirements -- Aligning the Maximum Phase Slope -- Stable Amplifier -- Gain Peak at Phase Zero Intersection -- Moderate Gain -- Random Resonator and Amplifier Combination -- Naming Convention s -- Amplifiers for Sustaining Stages -- Bipolar Amplifier Configurations -- Stabilizing Bipolar Amplifiers -- Stabilized FET Amplifier Configurations -- Basic Common Emitter Amplifier -- Statistical Analysis of the Amplifier -- Amplifier with Resistive F eedback -- General-Purpose Resistive-Feedback Amplifier -- Transformer-Feedback Amplifiers -- Monolythic Microwave Integrated Circuit Amplifiers -- Differential Amplifiers -- Phase-Lead Compensation -- Resonators -- R-C Phase Shift Network -- Delay-Line P hase-Shift Network -- L-C Parallel and Series Resonators -- Loaded Q . Unloaded Q -- Resonator Loss -- Colpitts Resonator -- Resonator Coupling -- Matching with the Resonator -- Measuring the Unloaded Q -- Coupled Resonator Oscillator Example -- Resonator Summary -- One-Port Method -- Negative-Resistance Oscillators -- Negative-Conductance Oscillators -- Analyzing Existing Oscillators -- Optimizing the Design
Chapter 2 Nonlinear Techniques -- Harmonic Balance -- Nonlinear Amplifiers -- Quiescent Current and Compression -- Impedance Shift -- Phase Shift -- Output Spectrum -- Time Domain Waveform -- Conversion Efficiency -- Operating Class -- Nonlinear Ope n-Loop Cascade -- Nonlinear HB Colpitts -- Closing the Loop and Excitation -- Harmonic Balance Colpitts Output Spectrum -- Excitation Current Versus Oscillator Parameters -- Nonlinear Negative-Resistance Oscillator -- Output Coupling -- Coupling Node -- L oad Pulling -- Loaded Q and Load Pulling -- Degree of Coupling -- Loaded Q and Coupling -- Coupling Reactance and Load Pulling -- Coupling Reactance and Harmonics -- Output Coupling Example 2 -- Passive Level Control -- Supply Pushing -- Spurious Modes -- Unstable Amplifiers -- Multiple Phase Zero Crossings -- Parametric Modes -- Multiple Resonance Modes -- Chapter 3 Transient Techniques -- Starting Modes -- Noise Mode of Starting -- Tansient Mode of Starting -- Time Constant of the Supply Step -- Simulat ion Techniques -- SPICE -- Cayenne -- Triggering -- Simulation Techniques for High Loaded Q -- Steady-State Oscillator Waveforms -- Clapp Oscillator Waveforms -- The Resonator Voltage -- Varactor Coupling -- Waveform Derived Output Spectrum
Chapter 4 Noise -- Vector Representation of the Oscillator Output -- Jitter -- The Output in the Frequency Domain -- SSB Phase Noise -- Residual FM and Residual PM -- Two-Port Noise -- Acoustic Disturbances -- Predicting Phase Noise -- Linear Time I nvariant Theory -- Extensions to LTI-Based Theory -- Linear Time Variant Theory -- Measuring Phase Noise -- Direct Method with a Spectrum Analyzer -- Selective Receiver Method -- Heterodyne/Counter Method -- Reference Oscillator Method -- Frequency Discri minator Method -- Example Phase-Noise Measurement System -- Designing for Low Phase Noise -- Estimating the Predominant Noise Source -- Reducing Leeson Noise -- Reducing Pushing Induced Noise -- Reducing Buffer Noise -- Reducing Varactor Modulation Noise -- PLL Noise -- Chapter 5 General-Purpose Oscillators -- Oscillators Without Resonators -- R-C Oscillators -- Wien Bridge -- Multivibrators -- Ring Oscillators -- Twin-T Oscillators -- L-C Oscillators -- Colpitts -- Clapp -- Seiler -- Hartley -- Pierce -- Coupled Series Resonator -- Rhea -- Coupled Parallel Resonator -- Gumm -- Oscillator Topology Selection
Chapter 6 Distributed Oscillators -- Resonator Technologies -- Lumped and Distributed Equivalents -- Quarter-Wavelength Resonators -- Ceramic-Loaded Coaxial Resonators -- Capacitor-Loaded Quarter-Wavelength Resonator -- Distributed Oscillator Exampl es -- Negative-Resistance Hybrid Oscillator -- Negative-Resistance High-Power 1 GHz Oscillator -- Quarter-Wavelength Hybrid Oscillator -- Simple Hybrid Coaxial Resonator MMIC -- Probe-Coupled Coaxial Resonator Bipolar -- End-Coupled Hybrid Half-Wavelength Bipolar -- Helical Transmission Line Resonator Bipolar -- DRO Oscillators -- Dielectric Resonator Basic Properties -- Dielectric Resonator Resonant Frequency -- Dielectric Resonator Unloaded Q -- Dielectric Resonator Coupling -- Chapter 7 Tuned Oscillato rs -- Resonator Tuning Bandwidth -- Resonator Voltage -- Permeability Tuning -- Tunable Oscillator Examples -- Permeability Tuned Colpitts JFET -- Vackar JFET VCO -- Hybrid Negative Resistance VCO -- Capacitor-Transformed Negative-Resistance VCO -- Negati ve-Resistance VCO with Transformer -- Negative-Conductance VCO -- Hybrid Coaxial Resonator MMIC -- Loaded Quarter-Wavelength MMIC -- Seiler Coaxial-Resonator CC VCO -- YIG Oscillators
Chapter 8 Piezoelectric Oscillators -- Bulk Quartz Resonators -- Quartz Blank Cuts -- Crystal Resonator Model -- Calculating Crystal Resonator Parameters -- Crystal Resonator Frequency Pulling -- Inverted-Mesa Crystal Resonators -- Crystal Oscillato r Operating Mode -- Crystal Oscillator Frequency Accuracy -- Temperature Effects on Crystal Oscillators -- Crystal Resonator Drive Level -- Crystal Resonator Spurious Modes -- Crystal Resonator Aging -- Crystal Resonator Noise -- Crystal Resonator Acceler ation Effects -- Crystal Resonator Standard Holders -- Fundamental Mode Crystal Oscillators -- Miller JFET Crystal -- Colpitts Bipolar Crystal -- Colpitts JFET Crystal -- Pierce Bipolar Crystal -- Pierce MMIC Crystal -- Pierce Inverter TTL Crystal -- Pier ce Inverter CMOS Crystal -- Butler Dual Bipolar Crystal -- Driscoll Bipolar Crystal -- Inverted-Mesa Pierce Bipolar Crystal -- Overtone Mode Crystal Oscillators -- Colpitts Overtone Bipolar Crystal -- CB Butler Overtone Bipolar Crystal -- CC Butler Overt one Bipolar Crystal -- Oscillator with Frequency Multiplier -- Crystal Oscillator Starting -- Surface Acoustic Wave Resonators -- SAW Resonator Models -- SAW Resonator Frequency Stability -- SAW Oscillators -- SAW 1-Port Colpitts Bipolar -- SAW 1-Port But ler Bipolar -- SAW 2-Port Pierce MMIC -- Piezoelectric Ceramic Resonators -- Ceramic Resonator Models -- Ceramic Resonator Accuracy and Stability -- Ceramic Resonator Oscillators -- MEMS and FBAR Resonators
ISBN:9781608070473
Series:Artech house microwave library
Series:eBooks
Series:Artech eBooks
Keywords: Harmonic oscillators, Design. , Oscillators, Electric, Design.
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Call number:9780750672917:ONLINE Show nearby items on shelf
Title:Reference data for engineers: radio, electronics, computer, and communications.
Author(s): M. E. Van Valkenburg (ed.)
Wendy Middleton (ed.)
Date:2002
Edition:9th ed.
Publisher:ScienceDirect
Size:1 online resource
Contents:Radio frequency spectrum management and time frequency standards -- International telephony recommendations -- Units, constants, and conversion factors -- Properties of materials -- Components or parts -- Fundamentals of networks -- Fourier waveform analysis -- Filters, simple bandpass design -- Filters, modern-network-theory design -- Active filter design -- Attenuators -- Measurements and analysis -- Magnetic-core transformers and reactors -- Power electronics -- rectifiers, filters, and power sup plies -- Feedback control systems -- Electron tubes -- Power grid-tube circuits -- Semiconductors and transistors -- Transistor circuits -- Integrated circuits -- Optoelectronics -- Optical communications -- Analog communications -- Digital communications -- Information theory and coding -- Computer communications networks -- Satellite and space communications -- Discrete-time signal processing -- Transmission lines -- Waveguides and resonators -- Scattering matrices -- Antennas -- Electromagnetic-wave pr opagation -- Radio noise and interference -- Broadcasting, cable television, and recording system standards -- Radar -- Radio navigation systems -- Common carrier transmission -- Switching networks and traffic concepts -- Electroacoustics -- Lasers -- Com puter organization and programming -- Logic design -- Probability and statistics -- Reliability and life testing -- Cellular telecommunications systems -- Mathematical equations -- Mathematical tables -- Miscellaneous data.
ISBN:9780750672917
Series:eBooks
Series:ScienceDirect
Keywords: Electronics. , Computer engineering. , Telecommunication.
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Call number:1119065283:ONLINE Show nearby items on shelf
Title:Interference Analysis - Modelling Radio Systemsfor Spectrum Management
Author(s): Pahl
Date:2016
Size:1 online resource (559 p.)
ISBN:9781119065289
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Electrical & Electronics Engineering
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Call number:TK7871.96.M53G74::2007 Show nearby items on shelf
Title:RF and microwave transistor oscillator design
Author(s): Andrei Grebennikov
Date:2007
Publisher:Chichester : John Wiley
Size:441 p.
Contents:Preface. -- Acknowledgements. -- 1 Nonlinear circuit design methods. -- 1.1 Spectral domain analysis. -- 1.2 Time domain analysis. -- 1.3 Newton Raphson algorithm. -- 1.4 Quasilinear method. -- 1.5 Van der Pol method. -- 1.6 Computer aided analysis and design. -- 2 Oscillator operation and design principles. -- 2.1 Steady state operation mode. -- 2.2 Start up conditions. -- 2.3 Oscillator configurations and historical aspects. -- 2.4 Self bias condition. -- 2.5 Oscillator analysis using matrix techniques. -- 2.6 Dual transistor oscillators. -- 2.7 Transmission line oscillator. -- 2.8 Push push oscillator. -- 2.9 Triple push oscillator. -- 2.10 Oscillator with delay line
3.1 Negative resistance oscillator circuits. -- 3.2 General single frequency stability condition. -- 3.3 Single resonant circuit oscillators. -- 3.4 Double resonant circuit oscillator. -- 3.5 Stability of multi resonant circuits. -- 3.6 Phase plane method. -- 3.7 Nyquist stability criterion. -- 3.8 Start up and stability. -- 4 Optimum design and circuit technique. -- 4.1 Empirical optimum design approach. -- 4.2 Analytic optimum design approach. -- 4.3 Parallel feedback oscillators. -- 4.4 Series feedback bipolar oscillators. -- 4.5 Series feedback MESFET oscillators. -- 4.6 High efficiency design technique. -- 4.7 Practical oscillator schematics. -- 5 Noise in oscillators. -- 5.1 Noise figure. -- 5.2 Flicker noise. -- 5.3 Active device noise modelling. -- 5.4 Oscillator noise spectrum: linear model. -- 5.5 Oscillator noise spectrum: nonlinear model. -- 5.6 Loaded quality factor. -- 5.7 Amplitude to phase conversion. -- 5.8 Oscillator pulling figure. -- 6 Varactor and oscillator frequency tuning. -- 6.1 Varactor modelling. -- 6.2 Varactor nonlinearity. -- 6.3 Frequency modulation. -- 6.4 Anti series varactor pair. -- 6.5 Tuning linearity. -- 6.6 Reactance compensation technique. -- 6.7 Practical VCO schematics.
7 CMOS voltage controlled oscillators. -- 7.1 MOS varactor. -- 7.2 Phase noise. -- 7.3 Flicker noise. -- 7.4 Tank inductor. -- 7.5 Circuit design concepts and technique. -- 7.6 Implementation technology issues. -- 7.7 Practical schematics of CMOS VCOs. -- 8 Wideband voltage controlled oscillators. -- 8.1 Main requirements. -- 8.2 Single resonant circuits with lumped elements. -- 8.3 Double resonant circuit with lumped elements. -- 8.4 Transmission line circuit realization. -- 8.5 VCO circuit design aspects. -- 8.6 Wideband nonlinear design. -- 8.7 Dual mode varactor tuning. -- 8.8 Practical RF and microwave wideband VCOs. -- -- 9 Noise reduction techniques. -- 9.1 Resonant circuit design technique. -- 9.2 Low frequency loading and feedback optimization. -- 9.3 Filtering technique. -- 9.4 Noise shifting technique. -- 9.5 Impedance noise match
ISBN:9780470025352
Keywords: Microwave transistors. , Radio frequency oscillators. , Oscillators, Transistor.
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Call number:TA348.M63::1986 Show nearby items on shelf
Title:Modern spectrum analysis, II
Author(s): Stanislav B. Kesler
Date:1986
Publisher:IEEE Press, New York
Size:441
ISBN:0879422033
Series:IEEE Press selected reprint series 91
Keywords: Power spectra.
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Call number:SPRINGER-2016-9783319315997:ONLINE Show nearby items on shelf
Title:Turbulence Introduction to Theory and Applications of Turbulent Flows
Author(s): Jerry Westerweel
Date:2016
Size:1 online resource (284 p.)
Note:10.1007/978-3-319-31599-7
Contents:1 Introduction -- 2 Equations of motion -- 2.1 incompressible flow -- 2.2 the Boussinesq approximation -- 2.3 coordinate system -- 3 Stability and Transition -- 3.1 stability analysis -- 3.2 Kelvin-Helmholtz instability -- 3.3
Rayleigh stability criterion -- 3.4 stability of a one-dimensional flow -- 3.5 routes to chaos -- 4 The characteristics of turbulence -- 4.1 the Burgers equation -- 4.2 phenomenology -- 4.3 experimental and numerical methods -- 5
Statistical description of turbulence -- 5.1 statistics -- 5.2 stationarity and homogeneity -- 5.3 the Reynolds equations -- 5.4 kinetic theory of momentum transfer -- 6 Turbulent flows -- 6.1 channel flow -- 6.2 mean velocity profile
-- 6.3 scaling of turbulent wall flows -- 6.4 wall roughness -- 6.5 pressure gradient -- 6.6 free turbulent flows -- 6.7 the free jet -- 7 Kinetic energy -- 7.1 kinetic energy of the mean flow -- 7.2 kinetic energy of turbulence -- 7.3
Prandtl's one-equation model -- 7.4 energy equation per component -- 7.5 convective turbulence -- 7.6 the convective boundary layer -- 8 Vorticity -- 8.1 vorticity equation -- 8.2 coherent structures -- 8.3 enstrophy -- 8.4 the k-
ε(e-ε) model -- 8.5 second-order closure and algebraic stress models -- 8.6 large eddy simulation of turbulence -- 9 Correlation function and spectrum -- 9.1 time correlations -- 9.2 the spectrum -- 9.3 spatial correlations and spectra
-- 9.4 the Taylor hypothesis -- 9.5 scaling of turbulence spectra -- 9.6 isotropic turbulence -- 10 Turbulent diffusion -- 10.1 statistical approach -- 10.2 the diffusion equation -- 10.3 inertial transport -- A Equations of motion --
B Special topics -- B.1 Monin-Obukhov similarity -- B.2 rapid distortion theory -- B.3 aeroacoustics -- B.4 rotating turbulence (by Herman Clercx) -- B.5 drag reduction by polymer additives -- Bibliography -- Index.
ISBN:9783319315997
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Fluids , Fluid mechanics , Physics , Fluid- and Aerodynamics , Engineering Fluid Dynamics
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Call number:SPRINGER-2016-9783319276663:ONLINE Show nearby items on shelf
Title:The Spectrum of Hyperbolic Surfaces
Author(s): Nicolas Bergeron
Date:2016
Edition:1st ed. 2016
Size:1 online resource (370 p.)
Note:10.1007/978-3-319-27666-3
Contents:Preface -- Introduction -- Arithmetic Hyperbolic Surfaces -- Spectral Decomposition -- Maass Forms -- The Trace Formula -- Multiplicity of lambda1 and the Selberg Conjecture -- L-Functions and the Selberg Conjecture -- Jacquet-Langlands Corresponde nce -- Arithmetic Quantum Unique Ergodicity -- Appendices -- References -- Index of notation -- Index -- Index of names
ISBN:9783319276663
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Dynamics , Ergodic theory , Hyperbolic geometry , Mathematics , Hyperbolic Geometry , Abstract Harmonic Analysis , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9781447172802:ONLINE Show nearby items on shelf
Title:Linear Functional Analysis An Application-Oriented Introduction
Author(s): Hans Wilhelm Alt
Date:2016
Size:1 online resource (435 p.)
Note:10.1007/978-1-4471-7280-2
Contents:Introduction -- Preliminaries -- Function spaces -- Subsets of function spaces -- Linear operators -- Linear functionals -- Uniform boundedness principle -- Weak convergence -- Finite-dimensional approximation -- Compact operators -- Spectrum of co mpact operators -- Self-adjoint operators -- References -- Symbols -- Index
ISBN:9781447172802
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Partial differential equations , Mathematics , Functional Analysis , Partial Differential Equations
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Call number:SPRINGER-2014-9789400773417:ONLINE Show nearby items on shelf
Title:Laser - Surface Interactions [electronic resource]
Author(s): Rashid A Ganeev
Date:2014
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:This book is about the interaction of laser radiation with various surfaces at variable parameters of radiation. As a basic principle of classification we chose the energetic or intensity level of interaction of laser radiationwith the surfaces. Thes e two characteristics of laser radiation are the most important parameters defining entire spectrum of the processes occurring on the surfaces during interaction with electromagnetic waves. This is a first bookcontaining a whole spectrum of the laser-surf ace interactions distinguished by the ranges of used laser intensity. It combines the surface response starting from extremely weak laser intensities (~1 W cm-2) up to the relativisticintensities (~1020 W cm-2 and higher). The book provides the basic info rmation about lasers and acquaints the reader with both common applications of laser-surface interactions (laser-related printers, scanners, barcode readers, discs,material processing, military, holography, medicine, etc) and unusual uses of the processes on the surfaces under the action of lasers (art conservation, rangefinders and velocimeters, space and earth explorations, surface engineeringand ablation, and others). The scientific applications of laser-surfaces interactions (surface optical nonlinear ities, surface enhanced Raman spectroscopy, surface nanostructuring, nanoripples and clusters formation, X-ray lasers andharmonic generation from the surfaces) are discussed from the point of view of the close relations between the properties of surface a nd matter, which is a cornerstone of most of studies of materials. The novelty of the approachdeveloped in Laser - Surface Interactions is related with the interconnection of scientific studies with numerous applications of the laser-surface interactions separated in different chapters by the ranges of laser intensities. Wepresent most recent achievements in this field. The book provides valuable information for different ranges of reader's preparedness
Contents:1 Principles of Lasers and Laser
Surface Interactions
2 Interaction of Low
Power Laser Radiation with Surfaces
3 Analysis of Surface Optical Nonlinearities
4 Laser Cleaning of Art. 5 Nanoripples Formation on the Surfaces
6 Surface Engineering and Ablation
7 Ablation of Clusters from Surfaces for Harmonic Generation of Laser Radiation
8 X
ray Lasers, Plasma Properties, and Harmonic Generation From Surfaces
ISBN:9789400773417
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Surfaces (Physics)
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Call number:SPRINGER-2014-9783642452246:ONLINE Show nearby items on shelf
Title:Polarization Bremsstrahlung [electronic resource]
Author(s): Andrey V Korol
Andrey V Solov'yov
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book introduces and reviews both theory and applications of polarizational bremsstrahlung, i.e. the electromagnetic radiation emitted during collisions of charged particles with structured, thus polarizable targets, such asatoms, molecules and c lusters. The subject, following the first experimental evidence a few decades ago, has gained importance through a number of modern applications. Thus, the study of several radiative mechanisms is expected tolead to the design of novel light sources, ope rating in various parts of the electromagnetic spectrum. Conversely, the analysis of the spectral and angular distribution of the photon emission constitutes a new tool for extractinginformation on the interaction of the colliding particles, and on their internal structure and dynamical properties. Last but not least, accurate quantitative descriptions of the photon emission processes determine the radiativeenergy losses of particles in various media, thereby providing essential information required for e.g. plasma diagnostics as well as astrophysical and medical applications (such as radiation therapy). This book primarilyaddresses graduate students and researchers with a background in atomic, molecular, optical or plasma physics, but will also be of b enefit to anyone wishing to enter the field.
Contents:Introduction
Bremsstrahlung in Collisions of Structureless Charged Particles with Atoms and Ions
Polarizational Bremsstrahlung in Collisions With Hydrogen Atom
Cross Section of PBrS From Many
Electron Atoms and Ions
PBrS in Non
Relativistic Collisions of Structural Particles with Atoms and Ions
Relativistic Effects in the Polarizational BrS Process
PBrS From Atomic Clusters and Fullerences
Conclusion
References
ISBN:9783642452246
Series:eBooks
Series:SpringerLink
Series:Springer Series on Atomic, Optical, and Plasma Physics, 1615-5653 : v80
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry, Physical organic
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Call number:SPRINGER-2014-9783319053141:ONLINE Show nearby items on shelf
Title:The ITU and Managing Satellite Orbital and Spectrum Resources in the 21st Century [electronic resource]
Author(s): Audrey L Allison
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Access to satellite orbits and spectrum is managed by the ITU, a United Nations body that strives to extend the benefits of new technologies to the world, while ensuring equitable access to these resources. This book explores howthe ITU approaches th ese dual missions in light of the increasing saturation of the geostationary orbit by a vibrant global satellite industry and the rising interests of developing countries in accessing these limited resources. Theseissues were the subject of debate at the 2012 World Radiocommunication Conference. This book describes and assesses various regulatory approaches undertaken to manage the increasing requests for access to space and especially access tospectrum and orbital locations in the geosynchronous or The C larke orbit
Contents:Introduction
Background
The Challenges
Results and Analysis
Conclusions and Recommendations
ISBN:9783319053141
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Space Development, 2191-8171
Series:Physics and Astronomy (Springer-11651)
Keywords: Engineering , Astronautics , Telecommunication
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Call number:SPRINGER-2014-9783319052540:ONLINE Show nearby items on shelf
Title:Trends in Contemporary Mathematics [electronic resource]
Author(s): Vincenzo Ancona
Elisabetta Strickland
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book covers a wide spectrum of hot topics and current trends in mathematics, including noncommutative algebra via deformation theory, optimal transportation, nonlinear potential theory,kinetic theory and gas dynamics,geometric numerical integrat ion, finite simple groups of small essential dimension, optimal control problems, extended Dynkin diagrams, spin glasses, aspherical closed manifolds, Boltzmann systems, birational geometry of projectivevarieties and directed graphs, nonlinear diffusion, geometric constructions of extremal metrics on complex manifolds, and Pells equation in polynomials. The book comprises a selection of contributions by leading internationalmathematicians who were speakers at the INdAM Day, an initiative dating back to 20 04 at which the most recent developments in contemporary mathematics are presented
Contents:1 F. Guerra: Interpolation and comparison methods in the mean field spin glass model
2 A. De Sole, V.G. Kac, D. Valeri: Integrability of dirac reduced Bi
Hamiltonian equations
3 W. Luck: Some open problems about aspherical closed manifolds abstract
4 P. Etingof: Exploring noncommutative algebras via deformation theory
5 G. Lancia: Mathematical models and solutions for the analysis of human genotypes
6 M. Manetti: Kodaira
Spencer formality of products of complex manifolds
7 O. Debarre, B. Lass: Monomial transformations of the projective space
8 J.L. Vazquez: Progress in the
ISBN:9783319052540
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Differential equations, partial , Computer science Mathematics
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Call number:SPRINGER-2014-9783319048079:ONLINE Show nearby items on shelf
Title:Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [electronic resource]
Author(s): Franoise Dal'Bo
Marc Peign
Andrea Sambusetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic flow for hyperbolic surfaces, marked the beginning of the investigation of the statistical properties and stochastic behavior ofthe flow. The first cen tral limit theorem for the geodesic flow was proved in the 1960s by Y. Sinai for compact hyperbolic manifolds. Since then, strong relationships have been found between the fields of ergodic theory, analysis, andgeometry. Different approaches and new tools have been developed to study the geodesic flow, including measure theory, thermodynamic formalism, transfer operators, Laplace operators, and Brownian motion. All these different points ofview have led to a deep understanding of more general dynamical sy stems, in particular the so-called Anosov systems, with applications to geometric problems such as counting, equirepartition, mixing, and recurrence properties of theorbits. This book comprises two independent texts that provide a self-contained introduct ion to two different approaches to the investigation of hyperbolic dynamics. The first text, by S. Le Borgne, explains the method of martingalesfor the central limit theorem. This approach can be used in several situations, even for weakly hyperbolic flow s, and the author presents a good number of examples and applications to equirepartition and mixing. The second text, by F.Faure and M. Tsujii, concerns the semiclassical approach, by operator theory: chaotic dynamics is described through the spectrum of the associated transfer operator, with applications to the asymptotic counting of periodic orbits. Thebook will be of interest for a broad audience, from PhD and Post-Doc students to experts working on geometry and dynamics
ISBN:9783319048079
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Global differential geometry , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783034805025:ONLINE Show nearby items on shelf
Title:Algebraic Methods in Functional Analysis [electronic resource] : The Victor Shulman Anniversary Volume
Author(s): Ivan G Todorov
Lyudmila Turowska
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This volume comprises the proceedings of the Conference on Operator Theory and its Applications held in Gothenburg, Sweden, April 26-29, 2011. The conference was held in honour of Professor Victor Shulman on the occasion of his65th birthday. The pape rs included in the volume covera large variety of topics, among them the theory of operator ideals, linear preservers, C*-algebras, invariant subspaces, non-commutative harmonic analysis, and quantum groups,andreflect recent developments in these areas. T he book consists of bothoriginal research papers and high quality survey articles, allofwhich werecarefully refereed
Contents:Introduction
Victor Shulman: The Gentle Art of Mathematics
Operators Splitting the Arveson Spectrum
Singly Generated Operator Algebras Satisfying Weakened Versions of Amenability
Operator Algebras and C*
correspondences: A Survey
Some Operator Algebras from Semigroups
Lifting Algebraic Contractions in C*
algebras
The Second Local Multiplier Algebra of a Separable C*
algebra
Test
space Characterizations of Some Classes of Banach Spaces
Splittings of Masa
bimodules
Noncommutative Analogues of Stein Spaces of Finite Embedding Dimension
Idempotent States on Locally C
ISBN:9783034805025
Series:eBooks
Series:SpringerLink
Series:Operator Theory: Advances and Applications, 0255-0156 : v233
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Operator theory
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Call number:SPRINGER-2014-9781461493235:ONLINE Show nearby items on shelf
Title:Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems [electronic resource]
Author(s): Dumitru Motreanu
Viorica Venera Motreanu
Nikolaos Papageorgiou
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods fromnonlinear analysis, varia tional principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinaryand partial differential equations. Recent res ults on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum andcomparison principles for p-Laplacian type operators, and new developmen ts on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and anextensive bibliography and a remarks section at the end of each chapter highlight the text. Thi s work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as auseful tool for all those interested in the topics presented
Contents:Preface
Introduction
Sobolev Spaces
Nonlinear Operators
Nonsmooth Analysis
Degree Theory
Variational Principles and Critical Point Theory
Morse Theory
Bifurcation Theory
Regularity Theorems and Maximum Principles
Spectrum of Differential Operators
Ordinary Differential Equations
Nonlinear Elliptic Equations with Dirichlet Boundary Conditions
Nonlinear Elliptic Equations with Neumann Boundary Conditions
List of Symbols
References
Index
ISBN:9781461493235
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Operator theory , Differential Equations , Differential equations, partial , Mathematical optimization
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Call number:SPRINGER-2013-9788132210535:ONLINE Show nearby items on shelf
Title:Combinatorial Matrix Theory and Generalized Inverses of Matrices [electronic resource]
Author(s): Ravindra B Bapat
Steve J Kirkland
K. Manjunatha Prasad
Simo Puntanen
Date:2013
Publisher:India : Springer India : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and expository articles presented in this publication are written by leadingMathematicians and Statistician s working in these areas. The articles contained herein are on the following general topics: `matrices in graph theory', `generalized inverses of matrices', `matrix methods in statistics' and `magicsquares'. In the area of matrices and graphs, speci_c top ics addressed in this volume include energy of graphs, q-analog, immanants of matrices and graph realization of product of adjacency matrices. Topics in the book from `MatrixMethods in Statistics' are, for example, the analysis of BLUE via eigenvalues of covariance matrix, copulas, error orthogonal model, and orthogonal projectors in the linear regression models. Moore-Penrose inverse of perturbedoperators, reverse order law in the case of inde_nite inner product space, approximation numbers, condition nu mbers, idempotent matrices, semiring of nonnegative matrices, regular matrices over incline and partial order of matrices arethe topics addressed under the area of theory of generalized inverses. In addition to the above traditional topics and a report on CMTGIM 2012 as an appendix, we have an article on old magic squares from India
Note:Springer eBooks
Contents:Skew Spectrum of the Cartesian Product of an Oriented Graph with an Oriented Hypercube
Notes on Explicit Block Diagonalization
The Third Immanant of q
Laplacian Matrices of Trees and Laplacians of Regular Graphs
Matrix Product of Graphs
Determinant of the Laplacian Matrix of Weighted Directed Graphs
From Multivariate Skewed Distributions to Copulas
Revisiting the BLUE in a Linear Model via Proper Eigenvectors
Inference in Error Orthogonal Models
On the Entries of Orthogonal Projection Matrices
Moore
Penrose Inverse of Perturbed Operators on Hilbert Spaces
The Rev
ISBN:9788132210535
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Mathematical statistics
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Call number:SPRINGER-2013-9783642368097:ONLINE Show nearby items on shelf
Title:Analyzing Compositional Data with R [electronic resource]
Author(s): K. Gerald van den Boogaart
Raimon Tolosana-Delgado
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book presents the statistical analysis of compositional data sets, i.e., data in percentages, proportions, concentrations, etc. The subject is covered from its grounding principles to the practical use in descriptiveexploratory analysis, robust linear models and advanced multivariate statistical methods, including zeros and missing values, and paying special attention to data visualization and model display issues. Many illustrated examples andcode chunks guide the reader into their modeling and interpretation. And, though the book primarily serves as a reference guide for the R package compositions, it is also a general introductory text on Compositional DataAnalysis. Awareness of their special characteristics spread in the Geosciences in the e arly sixties, but a strategy for properly dealing with them was not available until the works of Aitchison in the eighties. Since then, research hasexpanded our understanding of their theoretical principles and the potentials and limitations of their inte rpretation. This is the first comprehensive textbook addressing these issues, as well as their practical implications withregard to software. The book is intended for scientists interested in statistically analyzing their compositional data. The subject e njoys relatively broad awareness in the geosciences and environmental sciences, but the spectrum ofrecent applications also covers areas like medicine, official statistics, and economics. Readers should be familiar with basic univariate and multivariate s tatistics. Knowledge of R is recommended but not required, as the book isself-contained
Note:Springer eBooks
Contents:Introduction
Fundamental Concepts of Compositional Data Analysis
Distributions for Random Compositions
Descriptive Analysis of Compositional Data
Linear Models for Compositions
Multivariate Statistics
Zeroes, Missings and Outliers
References
Index.
ISBN:9783642368097
Series:e-books
Series:SpringerLink (Online service)
Series:Use R!
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Geochemistry , Mathematical statistics
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Call number:SPRINGER-2013-9783642349133:ONLINE Show nearby items on shelf
Title:Singular Spectrum Analysis for Time Series [electronic resource]
Author(s): Nina Golyandina
Anatoly Zhigljavsky
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Singular spectrum analysis (SSA) is a technique of time series analysis and forecasting combining elements of classical time series analysis, multivariate statistics, multivariate geometry, dynamical systems and signal processing.SSA seeks to decompo se the original series into a sum of a small number of interpretable components such as trend, oscillatory components and noise. It is based on the singular value decomposition of a specific matrix constructed uponthe time series. Neither a parametric mod el nor stationarity are assumed for the time series. This makes SSA a model-free method and hence enables SSA to have a very wide range of applicability. The present book is devoted to themethodology of SSA and shows how to use SSA both safely and with ma ximum effect. Potential readers of the book include: professional statisticians and econometricians, specialists in any discipline in which problems of time seriesanalysis and forecasting occur, specialists in signal processing and those needed to extract signals from noisy data, and students taking courses on applied time series analysis
Note:Springer eBooks
Contents:Introduction: Preliminaries
SSA Methodology and the Structure of the Book
SSA Topics Outside the Scope of this Book
Common Symbols and Acronyms
Basic SSA: The Main Algorithm
Potential of Basic SSA
Models of Time Series and SSA Objectives
Choice of Parameters in Basic SSA
Some Variations of Basic SSA
SSA for Forecasting, interpolation, Filtration and Estimation: SSA Forecasting Algorithms
LRR and Associated Characteristic Polynomials
Recurrent Forecasting as Approximate Continuation
Confidence Bounds for the Forecast
Summary and Recommendations on Forecast
ISBN:9783642349133
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Statistics, 2191-544X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2013-9783642343698:ONLINE Show nearby items on shelf
Title:Positive Linear Maps of Operator Algebras [electronic resource]
Author(s): Erling Strmer
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume, setting out the theory of positive maps as it stands today, reflects the rapid growth in this area of mathematics since it was recognized in the 1990s that these applications of C*-algebras are crucial to the studyof entanglement in quan tum theory. The author, a leading authority on the subject, sets out numerous results previously unpublished in book form. In addition to outlining the properties and structures of positive linear maps ofoperator algebras into the bounded operators on a H ilbert space, he guides readers through proofs of the Stinespring theorem and its applications to inequalities for positive maps. The text examines the maps positivity properties,as well as their associated linear functionals together with their density o perators. It features special sections on extremal positive maps and Choi matrices. In sum, this is a vital publication that covers a full spectrum of mattersrelating to positive linear maps, of which a large proportion is relevant and applicable to today s quantum information theory. The latter sections of the book present the material in finite dimensions, while the text as a wholeappeals to a wider and more general readership by keeping the mathematics as elementary as possible throughout.
Note:Springer eBooks
Contents:Introduction
1 Generalities for positive maps
2 Jordan algebras and projection maps
3 Extremal positive maps
4 Choi matrices and dual functionals
5 Mapping cones
6 Dual cones
7 States and positive maps
8 Norms of positive maps
Appendix: A.1 Topologies on B(H)
A.2 Tensor products
A.3 An extension theorem
Bibliography
Index
ISBN:9783642343698
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functional analysis , Mathematical physics
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Call number:SPRINGER-2013-9783642339141:ONLINE Show nearby items on shelf
Title:Chaos and Complex Systems [electronic resource] : Proceedings of the 4th International Interdisciplinary Chaos Symposium
Author(s): Stavros G Stavrinides
Santo Banerjee
Suleyman Hikmet Caglar
Mehmet Ozer
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Complexity Science and Chaos Theory are fascinating areas of scientific research with wide-ranging applications. The interdisciplinary nature and ubiquity of complexity and chaos are features that provides scientists with amotivation to pursue genera l theoretical tools and frameworks. Complex systems give rise to emergent behaviors, which in turn produce novel and interesting phenomena in science, engineering, as well as in the socio-economic sciences.The aim of all Symposia on Chaos and Complex Syst ems (CCS) is to bring together scientists, engineers, economists and social scientists, and to discuss the latest insights and results obtained in the area of correspondingnonlinear-system complex (chaotic) behavior. Especially for the 4th International I nterdisciplinary Chaos Symposium on Chaos and Complex Systems, which took place April 29th to May 2nd, 2012 in Antalya, Turkey, the scope of thesymposium had been further enlarged so as to encompass the presentation of work from circuits to econophysics, and from nonlinear analysis to the history of chaos theory. The corresponding proceedings collected in this volumeaddress a broad spectrum of contemporary topics, including but not limited to networks, circuits, systems, biology, evolution and ecology, n onlinear dynamics and pattern formation, as well as neural, psychological, psycho-social,socio-economic, management complexity and global systems
Note:Springer eBooks
Contents:Two Element Chaotic and Hyperchaotic Circuits
LempelZiv Model of Dynamical
chaotic and Fibonacci
quasiperiodic Systems
A Novel Numerical Approach for Determining Chaotic Levels in Stadium Billiards
Fault
tolerant Tracker for Interconnected Large
scale Nonlinear systems with Input Constraint.
Non
equilibrium Systems and Mechanics of Structured Particles
Discovery of Dozy Chaos and Discovery of Quanta: Analogy Being in Scienceand Perhaps in Human Progress
Stability Boundaries of Transiently Non
Autonomous Chaotic NonlinearSystem : Graphical Approach
Chaos Synchr
ISBN:9783642339141
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Engineering
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Call number:SPRINGER-2013-9783642307096:ONLINE Show nearby items on shelf
Title:Variational, Topological, and Partial Order Methods with Their Applications [electronic resource]
Author(s): Zhitao Zhang
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry,measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been usedextensively to solve existence of solutions for ellipt ic equations, wave equations, Schrdinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This bookis useful for researchers and graduate students in the field of nonlinear fu nctional analysis. Chapter 1 contains preliminaries. In Chapter 2, three kinds of operators are introduced: increasing operators, decreasing operators, andmixed monotone operators. In Chapter 3, the minimax methods are presented and in Chapter 4, the auth or uses bifurcation and critical point theory to study structures of the solutions of elliptic equations. Chapter 5 is concerned with aclass of MongeAmpre equations. In Chapter 6, the superlinear system of Hammerstein integral equations and applications i s studied. Chapter 7 is devoted to the DancerFucik spectrum. In Chapter 8, some results on sign-changingsolutions are introduced. In Chapter 9, a local minimizer problem of a functional in differential topology is studied. Chapter 10 focuses on a class of nonlocal Kirchhoff elliptic problems via different methods. In Chapter 11, thefocus is on free boundary problems, Schrdinger systems from BoseEinstein condensate and competing systems with many species
Note:Springer eBooks
Contents:1 Preliminaries
Sobolev spaces and embedding theorems
Critical point
Cone and partial order
Brouwer Degree
Compact map and Leray
Schauder Degree
Fredholm operators
Fixed point index
Banach's Contract Theorem, Implicit Functions Theorem
Krein
Rutman theorem
Bifurcation theory
Rearrangements of sets and functions
Genus and Category
Maximum principles and symmetry of solution
Comparison theorems
2 Cone and Partial Order Methods
Increasing operators
Decreasing operators
Mixed monotone operators
Applications of mixed monotone operators
Fur
ISBN:9783642307096
Series:e-books
Series:SpringerLink (Online service)
Series:Developments in Mathematics, 1389-2177 : v29
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis
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Call number:SPRINGER-2013-9783034806312:ONLINE Show nearby items on shelf
Title:Control and Optimization with PDE Constraints [electronic resource]
Author(s): Kristian Bredies
Christian Clason
Karl Kunisch
Gregory Winckel
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Many mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control andoptimization. This book pres ents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists addresscurrent topics such as non-smooth optimization, Hamilt onJacobiBellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretizationerror estimates for optimal control problems, and control of quantum-dynamical system s. These contributions originate from the International Workshop on Control and Optimization of PDEs in Mariatrost in October 2011. This book isan excellent resource for students and researchers in control or optimization of differential equations. Reader s interested in theory or in numerical algorithms will find this book equally useful
Note:Springer eBooks
Contents:Preface
An Adaptive POD Approximation Method for the Control of Advection
Diffusion Equations (A. Alla and M. Falcone)
Generalized Sensitivity Analysis for Delay Differential Equations (H. T. Banks, D. Robbins and K. L. Sutton)
Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time
Fractional Derivatives (S. Beckers and M. Yamamoto)
Nonsmooth Optimization Method and Sparsity (K. Ito)
Parareal in Time Intermediate Targets Methods for Optimal Control Problem (Y. Maday, M
K. Riahi and J. Solomon)
HamiltonJacobiBellman Equations on Mu
ISBN:9783034806312
Series:e-books
Series:SpringerLink (Online service)
Series:International Series of Numerical Mathematics : v164
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Computer science Mathematics , Numerical analysis , Mathematical optimization
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Call number:SPRINGER-2013-9781461482086:ONLINE Show nearby items on shelf
Title:Distributions, Partial Differential Equations, and Harmonic Analysis [electronic resource]
Author(s): Dorina Mitrea
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. Thebook is written in a for mat suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to coverall intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have beencarefully chosen to amplify the effect, and substantiate the power and scop e, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematicalinterests will find this book to be a useful resource and complete self-study guide. Throughout, a spe cial effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance tosee the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed too ls (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonicanalysis, at the earliest opportunity
Note:Springer eBooks
Contents:Introduction
Summary of Topological and Functional Analysis Results
Weak Derivatives
The Space D0() of Distributions
The Fourier Transform
The Space of Tempered Distributions
Fundamental Solution
The Laplace Operator
The Heat Operator
The Wave Operator
The Lame Operator
Fundamental Solutions for Other Operators
Hypoelliptic operators
Sobolev spaces
Appendix
References.
ISBN:9781461482086
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Differential equations, partial , Potential theory (Mathematics)
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Call number:SPRINGER-2013-9781461472186:ONLINE Show nearby items on shelf
Title:Predicting the Future [electronic resource] : Completing Models of Observed Complex Systems
Author(s): Henry Abarbanel
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:Predicting the Future: Completing Models of Observed Complex Systems provides a general framework for the discussion of model building and validation across a broad spectrum of disciplines. This is accomplished through thedevelopment of an exact path integral for use in transferring information from observations to a model of the observed system. Through many illustrative examples drawn from models in neuroscience, fluid dynamics, geosciences, andnonlinear electrical circuits, the concepts are exempl ified in detail. Practical numerical methods for approximate evaluations of the path integral are explored, and their use in designing experiments and determining a model'sconsistency with observations is investigated. Using highly instructive examples, t he problems of data assimilation and the means to treat them are clearly illustrated. This book will be useful for students and practitioners ofphysics, neuroscience, regulatory networks, meteorology and climate science, network dynamics, fluid dynamics, and other systematic investigations of complex systems
Note:Springer eBooks
Contents:Preface
1 An Overview The Challenge of Complex Systems
2 Examples as a Guide to the Issues
3 General Formulation of Statistical Data Assimilation
4 Evaluating the Path Integral
5 Twin Experiments
6 Analysis of Experimental Data
ISBN:9781461472186
Series:e-books
Series:SpringerLink (Online service)
Series:Understanding Complex Systems, 1860-0832
Series:Physics and Astronomy (Springer-11651)
Keywords: Neurosciences , Computer simulation
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Call number:SPRINGER-2013-9781461471936:ONLINE Show nearby items on shelf
Title:Lie Groups: Structure, Actions, and Representations [electronic resource] : In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
Author(s): Alan Huckleberry
Ivan Penkov
Gregg Zuckerman
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
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Note:Lie Groups: Structures, Actions, and Representations, In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday consists of invited expository and research articles on new developments arising from Wolf's profoundcontributions to mathematics. D ue to Professor Wolfs broad interests, outstanding mathematicians and scholars in a wide spectrum of mathematical fields contributed to the volume. Algebraic, geometric, and analytic methods areemployed. More precisely, finite groups and classical finite dimensional, as well as infinite-dimensional Lie groups, and algebras play a role. Actions on classical symmetric spaces, and on abstract homogeneous and representationspaces are discussed. Contributions in the area of representation theory involve numero us viewpoints, including that of algebraic groups and various analytic aspects of harmonic analysis. Contributors D. Akhiezer T. Oshima A. Andrada I. Pacharoni M. L. Barberis F. Ricci L. Barchini S. Rosenberg I. Dotti N. Shimeno M. Eastwood J. Tirao V . Fischer S. Treneer T. Kobayashi C.T.C. Wall A. Kornyi D. Wallace B. Kostant K. Wiboonton P. Kostelec F. Xu K.-H. Neeb O. Yakimova G. Olafsson R. Zierau B. rsted
Note:Springer eBooks
Contents:Preface
Real group orbits on flag manifolds
Complex connections with trivial holonomy
Indefinite harmonic theory and harmonic spinors
Twistor theory and the harmonic hull
Nilpotent Gelfand pairs and spherical transforms of Schwartz functions, II: Taylor expansions on singular sets
Propagation of the multiplicity
freeness property for holomorphic vector bundles
Poisson transforms for line bundles from the Shilov boundary to bounded symmetric domains
Cent(U(n)), cascade of orthogonal roots, and a construction of LipsmanWolf
Weakly harmonic Maa forms and the princi
ISBN:9781461471936
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v306
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Functional analysis
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Call number:SPRINGER-2013-9781461469957:ONLINE Show nearby items on shelf
Title:Spectral and Dynamical Stability of Nonlinear Waves [electronic resource]
Author(s): Todd Kapitula
Keith Promislow
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory andapplication. The book isolate s and methodically develops key ideas by working through illustrative examples that are subsequently synthesized into general principles. Many of the seminal examples of stability theory, including orbitalstability of the KdV solitary wave, and asymptotic stability of viscous shocks for scalar conservation laws, are treated in a textbook fashion for the first time. It presents spectral theory from a dynamical systems and functionalanalytic point of view, including essential and absolute spectra, and devel ops general nonlinear stability results for dissipative and Hamiltonian systems. The structure of the linear eigenvalue problem for Hamiltonian systems iscarefully developed, including the Krein signature and related stability indices. The Evans function for the detection of point spectra is carefully developed through a series of frameworks of increasing complexity. Applications of theEvans function to the Orientation index, edge bifurcations, and large domain limits are developed through illustrative ex amples. The book is intended for first or second year graduate students in mathematics, or those with equivalentmathematical maturity. It is highly illustrated and there are many exercises scattered throughout the text that highlight and emphasize the key concepts. Upon completion of the book, the reader will be in an excellent position tounderstand and contribute to current research in nonlinear stability
Note:Springer eBooks
Contents:Introduction
Background material and notation
Essential and absolute spectra
Dynamical implications of spectra: dissipative systems
Dynamical implications of spectra: Hamiltonian systems
Dynamical implications of spectra: Hamiltonian systems
Point spectrum: reduction to finite
rank eigenvalue problems
Point spectrum: linear Hamiltonian systems
The Evans function for boundary value problems
The Evans function for Sturm
Liouville operators on the real line
The Evans function for nth
order operators on the real line
Index
References
ISBN:9781461469957
Series:e-books
Series:SpringerLink (Online service)
Series:Applied Mathematical Sciences, 0066-5452 : v185
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential equations, partial
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Call number:SPRINGER-2013-9781461421764:ONLINE Show nearby items on shelf
Title:Fractal Geometry, Complex Dimensions and Zeta Functions [electronic resource] : Geometry and Spectra of Fractal Strings
Author(s): Michel L Lapidus
Machiel van Frankenhuijsen
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings that is, one-dimensional drums with fractal boundary. This second edition of Fractal Geometry,Complex Dimensions and Ze ta Functions will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, complex analysis, distribution theory, and mathematical physics. The significantstudies and problems illuminated in this work ma y be used in a classroom setting at the graduate level. Key Features include: The Riemann hypothesis is given a natural geometric reformulation in the context ofvibrating fractal strings Complex dimensions of a fractal string are studied in detail, and used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra Explicit formulas are extended to apply to the geometric, spectral, and dynamical zeta functions associated with a fractal Examples of such explic it formulas include a Prime Orbit Theorem witherror term for self-similar flows, and a geometric tube formula The method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methods are used toobtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions The unique viewpoint of this book culminates in the definition of fractality as the presence of nonreal complex dimensions. Thefinal chapter (13) is new to the s econd edition and discusses several new topics, results obtained since the publication of the first edition, and suggestions for future developments in the field. Review of the First Edition: Thebook is self contained, the material organized in chapters preceded by an introduction and finally there are some interesting applications of the theor
Note:Springer eBooks
Contents:Preface
Overview
Introduction
1. Complex Dimensions of Ordinary Fractal Strings
2. Complex Dimensions of Self
Similar Fractal Strings
3. Complex Dimensions of Nonlattice Self
Similar Strings
4. Generalized Fractal Strings Viewed as Measures
5. Explicit Formulas for Generalized Fractal Strings
6. The Geometry and the Spectrum of Fractal Strings
7. Periodic Orbits of Self
Similar Flows
8. Fractal Tube Formulas
9. Riemann Hypothesis and Inverse Spectral Problems
10. Generalized Cantor Strings and their Oscillations
11. Critical Zero of Zeta Functions
12 F
ISBN:9781461421764
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Global analysis , Differential equations, partial , Number theory
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Call number:SPRINGER-2013-9780817683979:ONLINE Show nearby items on shelf
Title:Groupoid Metrization Theory [electronic resource] : With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis
Author(s): Dorina Mitrea
Irina Mitrea
Marius Mitrea
Sylvie Monniaux
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. Thepresentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided. Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spacesand Functional Analysis include: * treatment of metri zation from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields * coverage of topics applicable to a variety of scientific areaswithin pure mathematics * useful techniques and extensive reference material * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be auseful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology andmetric properties and/or functional analysis and metric properties
Note:Springer eBooks
Contents:Introduction
Semigroupoids and Groupoids
Quantitative Metrization Theory
Applications to Analysis on Quasi
Metric Spaces
Non
Locally Convex Functional Analysis
Functional Analysis on Quasi
Pseudonormed Groups
References
Symbol Index
Subject Index
Author Index
ISBN:9780817683979
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Harmonic analysis , Functional analysis , Topology
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Call number:SPRINGER-2013-9780817683795:ONLINE Show nearby items on shelf
Title:Excursions in Harmonic Analysis, Volume 2 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center
Author(s): Travis D Andrews
Radu Balan
John J Benedetto
Wojciech Czaja
Kasso A Okoudjou
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consistsof contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span alarge spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I Sampling Theory Remote Sensing Mathematics of Data Processing Applications of Data Processing Volume II Measure Theory Filtering Operator Theory Biomathematics Each part provides sta te-of-the-artresults, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is anexcellent r eference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics
Note:Springer eBooks
Contents:Part V Measure Theory
Absolute Continuity and Singularity of Measures Without Measure Theory
Visible and Invisible Cantor Sets
Convolution Inequalities for Positive Borel Measures on R^d and Beurling Density
Positive Operator
Valued Measures: A General Setting for Frames
Part VI Filtering
Extending Wavelet Filters, Infinite Dimensions, the Non
Rational Case, and Indefinite
Inner Product Spaces
On the Group
Theoretic Structure of Lifted Filter Banks
Parametric Optimization of Biorthogonal Wavelets and Filterbanks via Pseudoframes for Subspaces
On the Convergence of It
ISBN:9780817683795
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics
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Call number:SPRINGER-2013-9780817683764:ONLINE Show nearby items on shelf
Title:Excursions in Harmonic Analysis, Volume 1 [electronic resource] : The February Fourier Talks at the Norbert Wiener Center
Author(s): Travis D Andrews
Radu Balan
John J Benedetto
Wojciech Czaja
Kasso A Okoudjou
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis. This two-volume set consistsof contributions from speakers at the February Fourier Talks (FFT) from 2006-2011. The FFT are organized by the Norbert Wiener Center in the Department of Mathematics at the University of Maryland, College Park. These volumes span alarge spectrum of harmonic analysis and its applications. They are divided into the following parts: Volume I Sampling Theory Remote Sensing Mathematics of Data Processing Applications of Data Processing Volume II Measure Theory Filtering Operator Theory Biomathematics Each part provides sta te-of-the-artresults, with contributions from an impressive array of mathematicians, engineers, and scientists in academia, industry, and government. Excursions in Harmonic Analysis: The February Fourier Talks at the Norbert Wiener Center is anexcellent r eference for graduate students, researchers, and professionals in pure and applied mathematics, engineering, and physics
Note:Springer eBooks
Contents:Part 1 Sampling Theory
Unions of Subspaces for Data Modeling and Subspace Clustering
Fusion frames and Unbiased Basic Sequences
Sampling in Spaces of Bandlimited Functions on Commutative Spaces
Smooth Interpolation of Data by Efficient Algorithms
An Overview of Time and Multiband Limiting
A Panorama of Sampling Theory
Part II Remote Sensing
Multistatic Radar Waveforms for Imaging of Moving Targets
Exploitation Performance and Characterization of a Prototype Compressive Sensing Imaging Spectrometer
An Introduction to Hyperspectral Image Data Modeling
Hyperspectr
ISBN:9780817683764
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Fourier analysis , Engineering mathematics
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Call number:SPRINGER-2013-9780817683733:ONLINE Show nearby items on shelf
Title:Finite Frames [electronic resource] : Theory and Applications
Author(s): Peter G Casazza
Gitta Kutyniok
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signalcharacteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. Thenumber of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in thefield, Finite Frames aims to fill this void in the literature by providing a comprehens ive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, itcovers topics including: * Finite Frame Constructions * Optimal Erasure Resilient Frames * Quantization of Fi nite Frames * Finite Frames and Compressed Sensing * Group and Gabor Frames * Fusion Frames. Despite the variety of itschapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, thisbook is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum c omputing, medicine, and more. It is designed to be used as a supplementaltextbook, self-study guide, or reference book
Note:Springer eBooks
Contents:Introduction
Constructing Finite Frames with a Given Spectrum
Spanning and Independence Properties of Finite
Alegebraic Geometry and Finite Frames
Group Frames
Gabor Framses in FiniteDimensions
Frames as Codes
Quantization and Finite Frames
Finite Frames for Sparse Signal Processing
Finite Frames and Filter Banks
Finite Frame theory in Pure Mathematics
Probabilitstic Frames
Fusion Frames
ISBN:9780817683733
Series:e-books
Series:SpringerLink (Online service)
Series:Applied and Numerical Harmonic Analysis
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Fourier analysis , Operator theory
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Call number:SPRINGER-2012-9789400747531:ONLINE Show nearby items on shelf
Title:Unbounded Self-adjoint Operators on Hilbert Space [electronic resource]
Author(s): Konrad Schmdgen
Date:2012
Publisher:Dordrecht : Springer Netherlands : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schrdinger operators) and analysis (Dirichletand Neumann Laplacians, Stu rm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. Themain themes of the book are the following: - Spectral in tegrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators -Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of po sitive self-adjoint extension
Note:Springer eBooks
Contents:I Basics onClosed Operators
1 Closed Operators and Adjoint Operators
2 Spectrum of Closed Operators
3 Some Classes of Unbounded Operators
II Spectral Theory
4 Spectral Measures and Spectral Integrals
5 Spectral Decomposition of Selfadjoint and Normal Operators
III Special Topics
6 One
Parameter Groups and Semigroups of Operators
7 Miscellaneous
IV Petirbations of Selfadjointness and of Spectra of Selfadjoint Operators
8 Perturbations of Selfadjoint Operators
9 Trace Class Perturbations of Spectra of Selfadjoint Operators
V Forms and Operators
10 Semibo
ISBN:9789400747531
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v265
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Operator theory , Mathematical physics
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Call number:SPRINGER-2012-9783642227950:ONLINE Show nearby items on shelf
Title:The Square Kilometre Array: Paving the way for the new 21st century radio astronomy paradigm [electronic resource] Proceedings of Symposium 7 of JENAM 2010
Author(s): Domingos Barbosa
Sonia Anton
Leonid Gurvits
Dalmiro Maia
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Square Kilometre Array (SKA) will provide more than one order of magnitude improvement in sensitivity compared with any existing radio telescope over a wavelength range of several hundred to one, from decametric to microwavewavelengths. It will r evolutionize the study of the most abundant element in the Universe, hydrogen, from the epoch of reionisation to the present-day, probing the onset formation period of the very first stars, will closely scanproto-planets and, through the precision timing of pulsars, will detect the distortions of space-time due to gravitational radiation. The SKA is a sensing network spanning 3000 km from its centre and with a collecting area of more than1 square kilometre, using technologies of the 21st century. The SKA will make the study of a wide range of phenomena initially studied at other wavelengths possible at radio wavelengths, as well as opening a new discovery window on newphenomena at radio wavelengths. Symposium 7 of the JENAM 2010 aimed at bringing these di verse opportunities to the attention of both theoretical and observational astronomers working at all wavelengths, including the potential forsynergies with other facilities. The meeting highlighted the scientific potential of the SKA discussed scientif ic priorities and their impact on the design of the SKA explored thesynergies between the SKA and other next-generation astronomical facilities in different wavelength domains such as the ALMA, ELTs, LSST, JWST, GRE, IXO, Gaia and Euclid, and high-energy facilities (Auger) explored thecyberinfrastructure that may become available for the distribution and distributed analysis of SKA data
Note:Springer eBooks
Contents:The SKA Challenge
The SKA new Instrumentation Aperture Arrays
AGN, Star Formation, and the nanoJy Sky
Using HI absorption to trace outflows from galaxies and feeding of AGN
Galaxy Dynamics
Transient Phenomena: Opportunities for New Discoveries
Cosmic Magnetism: Current Status and Outlook to the SKA
The SKA and High
Resolution Science
Precision Astrometry: from VLBI to Gaia and SKA
Ultra Steep Spectrum radio sources in the Lockman Hole: SERVS identifications and redshift distribution at the faintest radio fluxes
Probing the Very First Galaxies with the SKA
ISBN:9783642227950
Series:e-books
Series:SpringerLink (Online service)
Series:Astrophysics and Space Science Proceedings, 1570-6591
Series:Physics and Astronomy (Springer-11651)
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Call number:SPRINGER-2012-9783642227899:ONLINE Show nearby items on shelf
Title:Nonlinear Optics and Solid-State Lasers [electronic resource] : Advanced Concepts, Tuning-Fundamentals and Applications
Author(s): Jianquan Yao
Yuyue Wang
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book covers the complete spectrum of nonlinear optics and all solid state lasers.The book integrates theory, calculations and practical design, technology, experimental schemes and applications. With the expansion and furtherdevelopment of Laser technology, the wavelength spectrum of Lasers had to be enlarged, even to be tunable which requires the use of nonlinear optical and Laser tunable technology. It systematically summarizes and integrates theanalysis of international achievements within th e last 20 years in this field. It will be helpful for university teachers, graduate students as well as engineers
Note:Springer eBooks
Contents:Preface
Theoretic Analysis and Calculation of Three
wave Interaction in Nonlinear Optical Crystals
Nonlinear Optics Mixing Theory
Theory and Technology of Frequency
doubling Lasers and Frequency Mixing
Optical Parametric Oscillators (OPO)
Quasi
phase Matching Technology (QPM)
Principle, Device and Technology of DPL
RGB
DPL and High Power DPL
Solid Tunable Laser Technology
Tunable Titanium Doped Sapphire Laser
Other Laser Tunable Technologies
ISBN:9783642227899
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Optical Sciences, 0342-4111 : v164
Series:Physics and Astronomy (Springer-11651)
Keywords: Microwaves
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Call number:SPRINGER-2012-9783642225970:ONLINE Show nearby items on shelf
Title:Topics in Noncommutative Algebra [electronic resource] : The Theorem of Campbell, Baker, Hausdorff and Dynkin
Author(s): Andrea Bonfiglioli
Roberta Fulci
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Motivated by the importance of the Campbell, Baker, Hausdorff, Dynkin Theorem in many different branches of Mathematics and Physics (Lie group-Lie algebra theory, linear PDEs, Quantum and Statistical Mechanics, NumericalAnalysis, Theoretical Physics, Control Theory, sub-Riemannian Geometry), this monograph is intended to: 1) fully enable readers (graduates or specialists, mathematicians, physicists or applied scientists, acquainted with Algebra ornot) to understand and apply the statements and numero us corollaries of the main result 2) provide a wide spectrum of proofs from the modern literature, comparing different techniques and furnishing a unifying point of view andnotation 3) provide a thorough historical background of the results, together with unknown facts about the effective early contributions by Schur, Poincar, Pascal, Campbell, Baker, Hausdorff and Dynkin 4) give an outlook on theapplications, especially in Differential Geometry (Lie group theory) and Analysis (PDEs of subelliptic type) 5 ) quickly enable the reader, through a description of the state-of-art and open problems, to understand the modernliterature concerning a theorem which, though having its roots in the beginning of the20th century, has not ceased to provide new problems an d applications. The book assumes some undergraduate-level knowledge of algebra and analysis,but apart from that is self-contained. Part II of the monograph is devoted to the proofs of the algebraic background. The monograph may therefore provide a tool fo r beginners in Algebra
Note:Springer eBooks
Contents:1 Historical Overview
Part I Algebraic Proofs of the CBHD Theorem
2 Background Algebra
3 The Main Proof of the CBHD Theorem
4 Some Short Proofs of the CBHD Theorem
5 Convergence and Associativity for the CBHD Theorem
6 CBHD, PBW and the Free Lie Algebras
Part II Proofs of the Algebraic Prerequisites
7 Proofs of the Algebraic Prerequisites
8 Construction of Free Lie Algebras
9 Formal Power Series in One Indeterminate
10 Symmetric Algebra
ISBN:9783642225970
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2034
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry
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Call number:SPRINGER-2012-9783642223686:ONLINE Show nearby items on shelf
Title:Stochastic Differential Equations and Processes [electronic resource] : SAAP, Tunisia, October 7-9, 2010
Author(s): Mounir Zili
Darya V Filatova
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Selected papers submitted by participants of the international Conference Stochastic Analysis and Applied Probability 2010 ( www.saap2010.org ) make up the basis of this volume. The SAAP 2010 was held in Tunisia, from 7-9October, 2010, and was organi zed by the Applied Mathematics & Mathematical Physics research unit of the preparatory institute to the military academies of Sousse (Tunisia), chaired by Mounir Zili. The papers cover theoretical,numerical and applied aspects of stochastic processes and stochastic differential equations. The study of such topic is motivated in part by the need to model, understand, forecast and control the behavior of many natural phenomenathat evolve in time in a random way. Such phenomena appear in the fields of financ e, telecommunications, economics, biology, geology, demography, physics, chemistry, signal processing and modern control theory, to mention just a few.As this book emphasizes the importance of numerical and theoretical studies of the stochastic differenti al equations and stochastic processes, it will be useful for a wide spectrum of researchers in applied probability, stochasticnumerical and theoretical analysis and statistics, as well as for graduate students. To make it more complete and accessible for graduate students, practitioners and researchers, the editors Mounir Zili and Daria Filatova have includeda survey dedicated to the basic concepts of numerical analysis of the stochastic differential equations, written by Henri Schurz
Note:Springer eBooks
Contents:Preface
1.H. Schurz: Basic Concepts of Numerical Analysis of Stochastic Differential Equations Explained by Balanced Implicit Theta Methods
2.C.A. Tudor: Kernel Density Estimation, Local Time and Chaos Expansion
3.W. Jedidi, J. Almhana, V. Choulakian, R. McGorman: General Shot Noise Processes and Functional Convergence to Stable Processes
4.C. El
Nouty: The Lower Classes of the Sub
Fractional Brownian Motion
5.M. Erraoui and Y. Ouknine: On the Bounded Variation of the Flow of Stochastic Differential Equation
6.A. Ayache, Q. Peng: Stochastic Volatility and Multifractional Bro
ISBN:9783642223686
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics, 2190-5614 : v7
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Systems theory , Distribution (Probability theory)
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Call number:SPRINGER-2012-9783642202360:ONLINE Show nearby items on shelf
Title:Analysis for Science, Engineering and Beyond [electronic resource] : The Tribute Workshop in Honour of Gunnar Sparr held in Lund, May 8-9, 2008
Author(s): Kalle strm
Lars-Erik Persson
Sergei D Silvestrov
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book project was initiated at The Tribute Workshop in Honour of Gunnar Sparr and the follow-up workshop Inequalities, Interpolation, Non-commutative Analysis, Non-commutative Geometry and Applications, held at the Centre forMathematical Sciences , Lund University in May and November of 2008. The resulting book is dedicated in celebration of Gunnar Sparr's sixty-fifth anniversary and more than forty years of exceptional service to mathematics and itsapplications in engineering and technology, math ematics and engineering education, as well as interdisciplinary, industrial and international cooperation. This book presents new advances in several areas of mathematics andengineering mathematics including applications in modern technology, engineering and life sciences. Thirteen high-quality chapters put forward many new methods and results, reviews of up to date research and open directions andproblems for future research. A special chapter by Gunnar Sparr and Georg Lindgren contains a historical acc ount and important aspects of engineering mathematics research and education, and the implementation of the highly successfuleducation programme in Engineering Mathematics at Lund Institute of Technology, where not only the mathematical sciences have play ed a role. This book will serve as a source of inspiration for a broad spectrum of researchers andresearch students
Note:Springer eBooks
Contents:1 Gunnar Sparr
the Remarkable Mathematician, Entrepreneur and Ambassador for Mathematics by Lars
Erik Persson
2 The Engineering Mathematics Study Programme in Lund
Background and Implementation by Georg Lindgren and Gunnar Sparr
3 Theory of EdgeDetection by Jan J. Koenderink
4 Shape Modeling by Optimising Description Length Using Gradients and Parameterisation Invariance by Johan Karlsson, Anders Ericsson and Kalle strm
5 On the Bijectivity of Thin
Plate Splines by Anders P. Erikson and Kalle strm
6 Statistical and Knowledge Supported Visualization of Multiv
ISBN:9783642202360
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics, 2190-5614 : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Engineering mathematics
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Call number:SPRINGER-2012-9781461417798:ONLINE Show nearby items on shelf
Title:Operator Inequalities of Ostrowski and Trapezoidal Type [electronic resource]
Author(s): Silvestru Sever Dragomir
Date:2012
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of boundedSelfadjoint operators on complex Hilbert spaces. The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarzs inequality for positive Selfadjointoperators as well as some results for the spectrum of this cl ass of operators are presented. The author also introduces and explores the fundamental results for polynomials in a linear operator, continuous functions of selfadjointoperators that will play a central role throughout the book. The following chapter is devoted to the Ostrowskis type inequalities, which provide sharp error estimates in approximating the value of a function by its integral mean andcan be used to obtain a priory error bounds for different quadrature rules in approximating the Riemann integ ral by different Riemann sums. The author also presents recent results extending Ostrowski inequality in various directionsfor continuous functions of selfadjoint operators in complex Hilbert spaces. The final chapter illustrates recent results obtained i n extending trapezoidal type inequality in various directions for continuous functions of selfadjointoperators in complex Hilbert spaces. Applications for mid-point inequalities and some elementary functions of operators as also provided. This book is int ended for use by researchers in various fields of Linear Operator Theory andMathematical Inequalities. As well as postgraduate students and scientists applying inequalities in their specific areas
Note:Springer eBooks
ISBN:9781461417798
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential equations, partial , Numerical analysis , Mathematical optimization , Distribution (Probability theory)
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Call number:SPRINGER-2012-9781461405740:ONLINE Show nearby items on shelf
Title:Regression Analysis Under A Priori Parameter Restrictions [electronic resource]
Author(s): Pavel S Knopov
Arnold S Korkhin
Date:2012
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Construction of various models of objects under uncertainty is one of the most important problems in modern decision making theory. Regression models are some of the most prevalent tools for modeling under uncertainty and arewidely applied in differe nt branches of science such as in industrial research, agriculture, medicine, and business and economics. Regression Analysis Under A Priori Parameter Restrictions will be of interest to a broad spectrum ofreaders in applied mathematics, mathematical stat istics, identification theory, systems analysis, econometrics, finance, optimization, and other scientific disciplines. Requiring a background in algebra, probability theory,mathematical statistics, and mathematical programming, this work may also be a us eful supplement for advanced graduate courses in estimation theory, regression analysis, mathematical statistics, econometrics, mathematical programmingand optimal control, and stochastic optimization. The material contained in this monographsuccessfully combines interesting theoretical results with methods and algorithms for solving practical problems. It focuses on theconstruction of regression models with linear and non-linear constraint inequalities and is the first book in which the theoretical resul ts lying in the background of construction and studying regression models with inequalityconstraints on parameters are presented systematically and solidly. Problems are described and studied in a clear, precise, and rigorous method and include: calculati on of estimates for regression parameters, determination of theirasymptotic properties and accuracy of estimation, point and interval prediction by the regression, parameters of which are estimated under inequality constraints. The authors approach lends itself to numerous applications in variouspractical problems, several of which are discussed in detail
Note:Springer eBooks
ISBN:9781461405740
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Optimization and Its Applications, 1931-6828 : v54
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2012-9780817683283:ONLINE Show nearby items on shelf
Title:Spectral Theory of Operators on Hilbert Spaces [electronic resource]
Author(s): Carlos S Kubrusly
Date:2012
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
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Note:This work is intended toprovide a concise introduction to the spectral theory of Hilbert space operators. With an emphasis on detailed proofs andrecent aspects of theory, itcan serve asa modern textbook for a firstgraduate course in the subject.The c overage of topics is thorough, exploring various intricate points and hidden features often left untreated. The book begins with a primer on Hilbert space theory, summarizing the basics requiredfor the remainder of the book and establishing unified notati on and terminology.After this, standard spectral results for (bounded linear) operators on Banach and Hilbert spaces, including the classical partition of the spectrum andspectral properties for specific classes of operators, are discussed. A study of the spectral theorem for normal operators follows, covering both the compact and the general case, and proving both versions of the theorem in fulldetail. This leads into an investigationof functional calculus for normal operators and Riesz functional calcul us, which in turn is followed by Fredholm theory and compact perturbations of the spectrum, where a finer analysis of thespectrum is worked out. Here, further partitions involving the essential spectrum, including the Weyl and Browder spectra,are introduc ed.The finalsection of the bookdeals withWeyl's and Browder's theorems andprovides a lookatvery recent results. Spectral Theory of Operators onHilbert Spacesis addressed to an interdisciplinaryaudienceof graduate students in mathematics,statistics, econom ics, engineering, and physics. Itwill be useful forworking mathematicians using spectral theory of Hilbert space operators, as well asfor scientists wishing toharness the applications ofthis theory
Note:Springer eBooks
Contents:Preface
Preliminaries
Spectrum
Spectral Theorem
Functional Calculus
Fredholm Theory
References
Index
ISBN:9780817683283
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Functional analysis , Operator theory
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Call number:SPRINGER-2011-9783642218668:ONLINE Show nearby items on shelf
Title:Mathematical Concepts of Quantum Mechanics [electronic resource]
Author(s): Stephen J Gustafson
Israel Michael Sigal
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book gives a streamlined introduction to quantum mechanics while describing the basic mathematical structures underpinning this discipline. Starting with an overview of key physical experiments illustrating the origin of thephysical foundations, the book proceedswith a description of the basic notions of quantum mechanics and their mathematical content. It then makes its way to topics of current interest, specifically those in which mathematics plays animportant role. The more advanced topics pre sented include many-body systems, modern perturbation theory, path integrals, the theory of resonances, quantum statistics, mean-field theory, second quantization, the theory of radiation(non-relativistic quantum electrodynamics), and the renormalization group. With different selections of chapters, the book can serve as a text for an introductory, intermediate, or advanced course in quantum mechanics. The last fourchapters could also serve as an introductory course in quantum field theory
Note:Springer eBooks
Contents:1 Physical Background
2 Dynamics
3 Observables
4 Quantization
5 Uncertainty Principle and Stability of Atoms and Molecules
6 Spectrum and Dynamics
7 Special Cases
8 Bound States and Variational Principle
9 Scattering States
Existence of Atoms and Molecules
11 Perturbation Theory: Feshbach
Schur Method
12 General Theory of Many
particle Systems
13 Self
consistent Approximations
14 The Feynman Path Integral
15 Quasi
classical Analysis
16 Resonances
17 Quantum Statistics
18 The Second Quantization
19 Quantum Electro
Magnetic Field Photons
ISBN:9783642218668
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Quantum theory
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Call number:SPRINGER-2011-9783034801133:ONLINE Show nearby items on shelf
Title:Photonic Crystals: Mathematical Analysis and Numerical Approximation [electronic resource]
Author(s): Willy Drfler
Armin Lechleiter
Michael Plum
Guido Schneider
Christian Wieners
Date:2011
Publisher:Basel : Springer Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume collects a series of lectures which provide an introduction to the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices.The bookconcentrates on the mathematics of photonic crystals, which form an important class of physical structures investigated in nanotechnology. Photonic crystals are materials which are composed of two or more differentdielectrics or metals, and which exhibit a spatially p eriodic structure, typically at the length scale of hundred nanometers. Inthe mathematical analysis and the numerical simulation of the partial differential equations describingnanostructures, several mathematical difficulties arise, e. g., the appropriat e treatment of nonlinearities, simultaneous occurrence of continuous and discrete spectrum, multiple scales in space and time, and the ill-posedness of theseproblems
Note:Springer eBooks
Contents:Preface
1 Introduction
2 Photonic bandstructure calculations
3 On the spectra of periodic differential operators
4 An introduction to direct and inverse scattering theory
5 Nonlinear optics
Bibliography
ISBN:9783034801133
Series:e-books
Series:SpringerLink (Online service)
Series:Oberwolfach Seminars : v42
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2011-9780817681012:ONLINE Show nearby items on shelf
Title:A First Course in Statistics for Signal Analysis [electronic resource]
Author(s): Wojbor A Woyczynski
Date:2011
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
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Note:'A First Course in Statistics for Signal Analysis' is a small, dense, and inexpensive book that covers exactly what the title says: statistics for signal analysis. The book has much to recommend it. The author clearly understandsthe topics presented. The topics are covered in a rigorous manner, but not so rigorous as to be ostentatious. The sequence of topics is clearly targeted at the spectral properties of Gaussian stationary signals. Any student studyingtraditional communications and signal proces sing would benefit from an understanding of these topics...In summary, [the work] has much in its favor...This book is most appropriate for a graduate class in signal analysis. It also couldbe used as a secondary text in a statistics, signal processing, o r communications class. JASA> (Review of the First Edition) This essentially self-contained, deliberately compact, and user-friendly textbook is designed for a first,one-semester course in statistical signal analysis for a broad audience of students in en gineering and the physical sciences. The emphasis throughout is on fundamental concepts and relationships in the statistical theory of stationaryrandom signals, explained in a concise, yet fairly rigorous presentation. Topics and Features: Fourier series and transformsfundamentally important in random signal analysis and processingare developed from scratch, emphasizingthe time-domain vs. frequency-domain duality Basic concepts of probability theory, laws of large numbers, the central limit theorem, and s tatistical parametric inference procedures are presented so that no prior knowledge ofprobability and statistics is required the only prerequisite is a basic twothree semester calculus sequence Computer simulation algorithms of stationary random signals w ith a given power spectrum density Complementarybibliography for readers who wish to pursue the study of random signals in greater depth Many diverse examples and end-of-chapter problem
Note:Springer eBooks
Contents:Foreword to the Second Edition
Introduction
Notation
Description of Signals
Spectral Representation of Deterministic Signals: Fourier Series and Transforms
Random Quantities and Random Vectors
Stationary Signals
Power Spectra of Random Signals
Transmission of Stationary Signals through Linear Systems
Optimization of Signal
to
Noise Ratio in Linear Systems
Gaussian Signals, Covariance Matrices, and Sample Path Properties
Spectral Representation of Discrete
Time Stationary Signals and Their Computer Simulations
Solutions to Selected Exercises
Bibliographica
ISBN:9780817681012
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Fourier analysis , Mathematics , Mathematical statistics
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Call number:SPRINGER-2011-9780817647896:ONLINE Show nearby items on shelf
Title:Structural Analysis of Complex Networks [electronic resource]
Author(s): Matthias Dehmer
Date:2011
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Because of the increasing complexity and growth of real-world networks, their analysis by using classical graph-theoretic methods is oftentimes a difficult procedure. As a result, there is a strong need to combine graph-theoreticmethods with mathemat ical techniques from other scientific disciplines, such as machine learning and information theory, in order to analyze complex networks more adequately. Filling a gap in literature, this self-contained bookpresents theoretical and application-oriented re sults to structurally explore complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a toolfor solving interdisciplinary problems. Special emphasis is given to m ethods related to the following areas: * Applications to biology, chemistry, linguistics, and data analysis * Graph colorings * Graph polynomials * Informationmeasures for graphs * Metrical properties of graphs * Partitions and decompositions * Quantitati ve graph measures Structural Analysis of Complex Networks is suitable for a broad, interdisciplinary readership of researchers,practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelli gence, computational and systems biology, cognitive science, computational linguistics, and mathematicalchemistry. The book may be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods
Note:Springer eBooks
Contents:Preface
A Brief Introduction to Complex Networks and Their Analysis
Partitions of Graphs
Distance in Graphs
Domination in Graphs
Spectrum and Entropy for Infinite Directed Graphs
Application of Infinite Labeled Graphs to Symbolic Dynamical Systems
Decompositions and Factorizations of Complete Graphs
Geodetic Sets in Graphs
Graph Polynomials and Their Applications I: The Tutte Polynomial
Graph Polynomials and Their Applications II: Interrelations and Interpretations
Reconstruction Problems for Graphs, Krawtchouk Polynomials, and Diophantine Equations
Subgraph
ISBN:9780817647896
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer Communication Networks , Computational complexity , Data mining , Bioinformatics , Combinatorics
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Call number:SPRINGER-2010-9783642121364:ONLINE Show nearby items on shelf
Title:Nonlinear Deformable-body Dynamics [electronic resource]
Author(s): Albert C. J Luo
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nonlinear Deformable-body Dynamics mainly consists in a mathematical treatise of approximate theories for thin deformable bodies, including cables, beams, rods, webs, membranes, plates, and shells. The intent of the book isto stimulate more research in the area of nonlinear deformable-body dynamics not only because of the unsolved theoretical puzzles it presents but also because of its wide spectrum of applications. For instance, the theories for softwebs and rod-reinforced soft structures can be app lied to biomechanics for DNA and living tissues, and the nonlinear theory of deformable bodies, based on the Kirchhoff assumptions, is a special case discussed. This book can serve as areference work for researchers and a textbook for senior and postgradu ate students in physics, mathematics, engineering and biophysics. Dr. Albert C.J. Luo is a Professor of Mechanical Engineering at Southern Illinois University,Edwardsville, IL, USA. Professor Luo is an internationally recognized scientist in the field of nonlinear dynamics in dynamical systems and deformable solids
Note:Springer eBooks
Contents:Introduction
Tensor Analysis
Deformation, Kinematics and Dynamics
Constitutive Laws and Damage Theory
Nonlinear Cables
Nonlinear Plates and Waves
Nonlinear Webs, Membranes and Shells
Nonlinear Beams and Rods
ISBN:9783642121364
Series:e-books
Series:SpringerLink (Online service)
Series:Nonlinear Physical Science, 1867-8440 : v0
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Materials
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Call number:SPRINGER-2010-9783642119224:ONLINE Show nearby items on shelf
Title:Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction [electronic resource]
Author(s): Alberto Parmeggiani
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, includingglobal and semiclassical v ariants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems,described in terms of classical invariants (such as t he periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful andflexible and presents an approach that could also be used for a variety of other pr oblems. It also features expositions on different results throughout the literature
Note:Springer eBooks
ISBN:9783642119224
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1992
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Differential equations, partial
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Call number:SPRINGER-2010-9783034605090:ONLINE Show nearby items on shelf
Title:Linearization Models for Complex Dynamical Systems [electronic resource] : Topics in Univalent Functions, Functional Equations and Semigroup Theory Mark Elin
Author(s): David Shoikhet
Mark Elin
Date:2010
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book provides valuable insights into complex analysis, dynamical systems, geometric function theory and operator theory. Intended for a broad spectrum of readers, ranging from undergraduate and graduate mathematics studentsto active researchers, it offers extensive coverage of recent advances in geometric function theory, including the theory of starlike and spirallike functions with respect to a boundary point. Of particular interest is its treatment ofcontinuous time semigroups, about which li ttle has been previously known, emphasizing the use of generation theory for continuous dynamical systems. Such semigroups have important applications in such areas as composition operators,Markov stochastic processes, control theory and optimization. Rea ders will find in this book a systematic and detailed survey of linearization models for one-parameter continuous semigroups, functional equations, and the differentclasses of univalent functions which serve as intertwining mappings for these semigroups, along with their applications to various problems of complex dynamics
Note:Springer eBooks
Contents:Geometric Background
Dynamic Approach
Starlike Functions with Respect to a Boundary Point
Spirallike Functions with Respect to a Boundary Point
Knigs Type Starlike and Spirallike Functions
Rigidity of Holomorphic Mappings and Commuting Semigroups
Asymptotic Behavior of One
parameter Semigroups
Backward Flow Invariant Domains for Semigroups
Appendices
ISBN:9783034605090
Series:e-books
Series:SpringerLink (Online service)
Series:Operator Theory: Advances and Applications : v208
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems , Functions of complex variables , Systems theory
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Call number:SPRINGER-2010-9781441906618:ONLINE Show nearby items on shelf
Title:Spectral Analysis of Large Dimensional Random Matrices [electronic resource]
Author(s): Zhidong Bai
Jack W Silverstein
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The aim of the book is to introduce basic concepts, main results, and widely applied mathematical tools in the spectral analysis of large dimensional random matrices. The core of the book focuses on results established undermoment conditions on rando m variables using probabilistic methods, and is thus easily applicable to statistics and other areas of science. The book introduces fundamental results, most of them investigated by the authors, such as thesemicircular law of Wigner matrices, the Marcenk o-Pastur law, the limiting spectral distribution of the multivariate F matrix, limits of extreme eigenvalues, spectrum separation theorems, convergence rates of empirical distributions,central limit theorems of linear spectral statistics, and the partial solution of the famous circular law. While deriving the main results, the book simultaneously emphasizes the ideas and methodologies of the fundamental mathematicaltools, among them being: truncation techniques, matrix identities, moment convergence theor ems, and the Stieltjes transform. Its treatment is especially fitting to the needs of mathematics and statistics graduate students and beginningresearchers, having a basic knowledge of matrix theory and an understanding of probability theory at the gradua te level, who desire to learn the concepts and tools in solving problems in this area. It can also serve as a detailedhandbook on results of large dimensional random matrices for practical users. This second edition includes two additional chapters, one o n the authors' results on the limiting behavior of eigenvectors of sample covariance matrices,another on applications to wireless communications and finance. While attempting to bring this edition up-to-date on recent work, it also provides summaries of o ther areas which are typically considered part of the general field ofrandom matrix theory. Zhidong Bai is a professor of the School of Mathematics and Statistics at Northeast Normal University and Depa
Note:Springer eBooks
Contents:Wigner Matrices and Semicircular Law
Sample Covariance Matrices and the Marenko
Pastur Law
Product of Two Random Matrices
Limits of Extreme Eigenvalues
Spectrum Separation
Semicircular Law for Hadamard Products
Convergence Rates of ESD
CLT for Linear Spectral Statistics
Eigenvectors of Sample Covariance Matrices
Circular Law
Some Applications of RMT
ISBN:9781441906618
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Series in Statistics, 0172-7397
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2009-9783642015700:ONLINE Show nearby items on shelf
Title:The Dirac Spectrum [electronic resource]
Author(s): Nicolas Ginoux
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume surveys the spectral properties of the spin Dirac operator. After a brief introduction to spin geometry, we present the main known estimates for Dirac eigenvalues on compact manifolds with or without boundaries. Wegive examples where the spectrum can be made explicit and present a chapter dealing with the non-compact setting. The methods mostly involve elementary analytical techniques and are therefore accessible for Master students entering thesubject. A complete and updated list of refe rences is also included
Note:Springer eBooks
Contents:1 Basics of spin geometry
2 Explicit computations of spectra
3 Lower eigenvalue estimates on closed manifolds
4 Lower eigenvalue estimates on compact manifolds with boundary
5 Upper eigenvalue bounds on closed manifolds
6 Prescription of eigenvalues on closed manifolds
7 The Dirac spectrum on non
compact manifolds
8 Other topics related with the Dirac spectrum
A The twistor and Killing spinor equations
ISBN:9783642015700
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1976
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Differential equations, partial , Global differential geometry
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Call number:SPRINGER-2009-9783540895282:ONLINE Show nearby items on shelf
Title:Multi-Wave Mixing Processes [electronic resource] : From Ultrafast Polarization Beats to Electromagnetically Induced Transparency
Author(s): Yanpeng Zhang
Min Xiao
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Multi-Wave Mixing Processes - From Ultrafast Polarization Beats to Electromagnetically Induced Transparency discusses the interactions of efficient multi-wave mixing (MWM) processes enhanced by atomic coherence in multilevelatomic systems. It covers topics in five major areas: attosecond and femtosecond polarization beats of four-wave mixing (FWM) processes heterodyne detection of FWM, six-wave mixing (SWM) and eight-wave mixing (EWM) processes Ramanand Rayleigh enhanced polarization beats coexistenc e and interactions of MWM processes via electromagnetically induced transparency(EIT) multi-dressing MWM processes. The book is intended for researchers, advanced undergraduate andgraduate students in Nonlinear Optics. Dr. Yanpeng Zhang is a professor at the Key Laboratory for Physical Electronics and Devices of the Ministry of Education, Xi'an Jiaotong University. Dr. Min Xiao is a professor of Physics atUniversity of Arkansas, Fayetteville, U.S.A
Note:Springer eBooks
Contents:1. Introduction of multi
wave mixing (MWM) processes
2. Attosecond Polarization beats (ASPB) of FWM Processes
3. Femtosecond Polarization beats (FSPB) of FWM Processes
4. Polarization beats (PB) of SWM Processes and Heterodyne Detection of FWM and SWM Processes
5. Raman and Rayleigh Enhanced Polarization Beats
6. Coexistence of MWM Processes via Electromagnetically Induced Transparency (EIT) Windows
7. Interactions of MWM Processes via EIT Windows
8. Multi
dressing MWM Processes and Spatial Modulation Instability
ISBN:9783540895282
Series:e-books
Series:SpringerLink (Online service)
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum optics , Spectrum analysis
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