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SPIRES-BOOKS: FIND KEYWORD DISCRETE GEOMETRY *END*INIT* use /tmp/qspiwww.webspi1/4462.9 QRY 131.225.70.96 . find keyword discrete geometry ( in books using www Cover
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Call number:9783319517537:ONLINE Show nearby items on shelf
Title:Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance
Author(s):
Date:2017
Size:1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.)
Contents:Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the
Barndor-Nielsen-Shephard Model for Commodity Markets
ISBN:9783319517537
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences
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Call number:9783319475127:ONLINE Show nearby items on shelf
Title:Pseudo-Differential Operators: Groups, Geometry and Applications
Author(s):
Date:2017
Size:1 online resource (VIII, 239 p. 23 illus., 11 illus. in color p.)
Contents:Pseudo-Differential Operators on the Affine Group -- Pseudo-Differential Operators on Non-Isotropic Heisenberg Groups with Multi-Dimensional Center -- Curvatures of the Heisenberg Group -- Ellipticity with Global Projection Conditions
-- Multilinear Localization Operators Associated to Quaternion Fourier Transforms -- A Time-Frequency Relationship between the Langevin Equation and the Harmonic Oscillator -- Are There Quantum Operators and Wave Functions in Standard
Probability Theory -- A Class of Non-Markovian Pseudo-Differential Operators of Lévy Type -- On the Solvability of Some Systems of Integro-Differential Equations with Anomalous Diffusion -- Visualizing Discrete Complex-Valued
Time-Frequency Representations -- The Reassigned Spectrogram of the Stockwell transform -- Continuous Multi-Wavelet Transforms for Blind Signal Separation.
ISBN:9783319475127
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Operator theory , Partial differential equations , Information theory , Differential geometry , Probabilities , Mathematics , Operator Theory , Partial Differential Equations , Differential Geometry , Probability Theory and Stochastic Processes , Information and Communication, Circuits
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Call number:9781498777810:ONLINE Show nearby items on shelf
Title:CRC Standard Mathematical Tables and Formulas [electronic resource]
Author(s): Daniel Zwillinger
Date:2018
Edition:33rd edition
Publisher:CRC Press
Size:1 electronic resource (800 pages) p
Contents:Numbers and elementary mathematics -- Elementary algebra -- Discrete mathematics -- Geometry -- Analysis -- Special functions -- Probability and statistics -- Scientific computing -- Mathematical formulas from the sciences -- Miscellaneous
ISBN:9781498777810
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Call number:SPRINGER-2016-9789811009167:ONLINE Show nearby items on shelf
Title:Geometry of Cauchy-Riemann Submanifolds
Author(s):
Date:2016
Size:1 online resource (390 p.)
Note:10.1007/978-981-10-0916-7
Contents:Chapter 1. CR-warped submanifolds in Kaehler manifolds -- Chapter 2. CR Submanifolds and -invariants -- Chapter 3. CR Submanifolds of the nearly Kahler 6-sphere -- Chapter 4. CR submanifolds of Hermitian manifolds and the tangential C-R equations - - Chapter 5. CR Submanifolds in (l.c.a.) Kaehler and S-manifolds -- Chapter 6. Lorentzian geometry and CR submanifolds -- Chapter 7. Submanifolds in holomorphic statistical manifolds -- Chapter 8. CR Submanifolds in complex and Sasakian space forms -- Cha pter 9. CR-Doubly warped product submanifolds -- Chapter 10. Ideal CR submanifolds -- Chapter 11. Submersions of CR submanifolds -- Chapter 12. CR Submanifolds of semi-Kaehler manifolds -- Chapter 13. Paraquaternionic CR submanifolds
ISBN:9789811009167
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematical physics , Mathematics , Differential Geometry , Mathematical Physics , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9784431561040:ONLINE Show nearby items on shelf
Title:Mathematical Challenges in a New Phase of Materials Science Kyoto, Japan, August 2014
Author(s):
Date:2016
Size:1 online resource (21 p.)
Note:10.1007/978-4-431-56104-0
ISBN:9784431561040
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 166
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , Convex geometry , Discrete geometry , Physics , Mathematics , Partial Differential Equations , Mathematical Methods in Physics , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9783764387976:ONLINE Show nearby items on shelf
Title:Counting Surfaces CRM Aisenstadt Chair lectures
Author(s): Bertrand Eynard
Date:2016
Edition:1st ed. 2016
Size:1 online resource (47 p.)
Note:10.1007/978-3-7643-8797-6
Contents:I Maps and discrete surfaces -- II Formal matrix integrals -- III Solution of Tutte-loop equations -- IV Multicut case -- V Counting large maps -- VI Counting Riemann surfaces -- VII Topological recursion and symplectic invariants -- VIII Ising mod el -- Index -- Bibliography
ISBN:9783764387976
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematical Physics: 70
Keywords: Mathematics , Algebraic geometry , Combinatorics , Mathematics , Algebraic Geometry , Combinatorics
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Call number:SPRINGER-2016-9783319341668:ONLINE Show nearby items on shelf
Title:Ensembles on Configuration Space Classical, Quantum, and Beyond
Author(s): Michael J. W Hall
Date:2016
Size:1 online resource (280 p.)
Note:10.1007/978-3-319-34166-8
Contents:Part I General Properties of Ensembles on Configuration Space: Introduction -- Observables, Symmetries and Constraints -- Interaction, Locality and Measurement -- Thermodynamics and Mixtures on Configuration Space -- Part II Axiomatic
Approaches to Quantum Mechanics: Quantization of Classical Ensembles via an Exact Uncertainty Principle -- The Geometry of Ensembles on Configuration Space -- Local Representations of Rotations on Discrete Configuration Spaces -- Part
III: Hybrid Classical-Quantum Systems -- Hybrid Quantum-Classical Ensembles -- Consistency of Hybrid Quantum-Classical Ensembles -- Part IV: Classical Gravitational Fields and Their Interaction with Quantum Fields -- Ensembles of
Classical Gravitational Fields -- Coupling of Quantum Fields to Classical Gravity -- Variational Derivatives and Integrals
ISBN:9783319341668
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics: 184
Keywords: Physics , Mathematical physics , Quantum physics , Statistical physics , Dynamical systems , Physics , Quantum Physics , Mathematical Physics , Statistical Physics, Dynamical Systems and Complexity
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Call number:SPRINGER-2016-9783319335728:ONLINE Show nearby items on shelf
Title:Open Problems in the Geometry and Analysis of Banach Spaces
Author(s): Antonio J Guirao
Date:2016
Size:1 online resource (169 p.)
Note:10.1007/978-3-319-33572-8
Contents:Preface -- Basic linear structure -- Basic linear geometry -- Biorthogonal systems -- Smoothness, smooth approximation -- Nonlinear geometry -- Some more nonseparable problems -- Some applications -- Bibliography -- List of concepts and problems -- Symbol index -- Subject index.
ISBN:9783319335728
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Measure theory , Convex geometry , Discrete geometry , Algebraic topology , Mathematics , Functional Analysis , Approximations and Expansions , Measure and Integration , Convex and Discrete Geometry , Algebraic Topology
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Call number:SPRINGER-2016-9783319321622:ONLINE Show nearby items on shelf
Title:Open Problems in Mathematics
Author(s):
Date:2016
Size:1 online resource (17 p.)
Note:10.1007/978-3-319-32162-2
Contents:Preface (J.F. Nash, Jr., M.Th. Rassias) -- Introduction (M. Gromov) -- 1. P Versus NP (S. Aaronson) -- 2. From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond (O. Barrett, F.W.K. Firk, S.J. Miller, C. Turnage-Butterbaugh) -- 3 . The Generalized Fermat Equation (M. Bennett, P. Mihăilescu, S. Siksek) -- 4. The Conjecture of Birch and Swinnerton-Dyer (J. Coates) -- 5. An Essay on the Riemann Hypothesis (A. Connes) -- 6. Navier Stokes Equations (P. Constantin) -- 7. Plateau's Prob lem (J. Harrison, H. Pugh) -- 8. The Unknotting Problem (L.H. Kauffman) -- 9. How Can Cooperative Game Theory Be Made More Relevant to Econimics? (E. Maskin) -- 10. The Erdős-Szekeres Problem (W. Morris, V. Soltan) -- 11. Novikov's Conjecture (J. Rosenbe rg) -- The Discrete Logarithm Problem (R. Schoof) -- 13. Hadwiger's Conjecture (P. Seymour) -- 14. The Hadwiger-Nelson Problem (A. Soifer) -- 15. Erdős's Unit Distance Problem (E. Szemerédi) -- 16. Goldbach's Conjectures (R.C. Vaughan) -- 17.
The Hodge Conjecture (C. Voisin).
ISBN:9783319321622
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Partial differential equations , Game theory , Differential geometry , Number theory , Operations research , Management science , Mathematics , Number Theory , Algebraic Geometry , Differential Geometry , Partial Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Operations Research, Management Science
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Call number:SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf
Title:Computational Analysis AMAT, Ankara, May 2015 Selected Contributions
Author(s):
Date:2016
Size:1 online resource (396 p.)
Note:10.1007/978-3-319-28443-9
Contents:Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
ISBN:9783319284439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 155
Keywords: Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions
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Call number:SPRINGER-2016-9783319281865:ONLINE Show nearby items on shelf
Title:Convexity and Discrete Geometry Including Graph Theory Mulhouse, France, September 2014
Author(s):
Date:2016
Size:1 online resource (39 p.)
Note:10.1007/978-3-319-28186-5
Contents:Introduction -- PART I Research Articles. Marcus: Tudor Zamfirescu: from convex to magic -- Yuan: Acute Triangulations of Rectangles, with Angles Bounded Below -- Skupien: Multi-compositions in exponential counting of hypohamiltonian snarks -- Shabb ir & T. Zamfirescu: Hamiltonicity in k-tree-Halin graphs -- Schneider: Reflections of planar convex bodies -- Rouyer: Steinhaus conditions for convex polyhedra -- Riviere: About the Hausdorff dimension of the set of endpoints of convex surfaces -- Prunesc u: About a surprising computer program of Matthias Müller -- Oliveros, Martinez & Montejano: Extremal results on intersection graphs of boxes in R^d -- Massé, Euler & Lemarchand: On the connected spanning cubic subgraph problem -- Kincses: On the Helly dimension of Hanner polytopes -- Itoh & Ohtsuka: Classification of normal 2-polyhedra of positive constant curvature -- Heppes & Jeronimo-Castro: T(4) families ofϕ-disjoint ovals -- Fruchard & Magazinov: Fair partitioning by straight lines --
Filip & Petrusel: Fixed point theorems for multivalued Zamfrescu operators in convex Kasahara spaces -- Et-Taoui: Complex conference matrices, complex Hadamard matrices and complex equiangular tight frames -- Chevallier, Fruchard & Vilcu: Envelopes of α-sections -- Bokowski & al.: Selected open and solved problems in computational synthetic geometry -- Bau: Reductions of 3-connected quadrangulations of the sphere -- Barany & Por: Paths on the sphere without small angles -- PART II Open Problem Note s. Zamfirescu T.: Two problems on cages for discs -- Zamfirescu Carol T.: Seven problems on hypohamiltonian and almost hypohamiltonian graphs -- Vilcu & Zamfirescu: Six problems on the length of the cut locus -- Simoes-Pereira: Existence Problems for Matr oidal Families -- Funar: Cubical Pachner moves -- Eckhoff: Problems in Discrete Geometry -- Chevallier & Fruchard: What is the minimal cardinal of a family which shatters all d-subsets of a finite set? -- Baskoro: Some open problems of Ramsey
minimal graphs.
ISBN:9783319281865
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 148
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Convex geometry , Discrete geometry , Combinatorics , Graph theory , Mathematics , Convex and Discrete Geometry , Graph Theory , Combinatorics , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319270760:ONLINE Show nearby items on shelf
Title:Surfaces in Classical Geometries A Treatment by Moving Frames
Author(s): Gary R Jensen
Date:2016
Size:1 online resource (61 p.)
Note:10.1007/978-3-319-27076-0
Contents:1. Introduction -- 2. Lie Groups -- 3. Theory of Moving Frames -- 4. Euclidean Geometry -- 5. Spherical Geometry -- 6. Hyperbolic Geometry -- 7. Complex Structure -- 8. Minimal Immersions in Euclidean Space -- 9. Isothermic Immersions -- 10. The Bo nnet Problem -- 11. CMC 1 Surfaces in H3 -- 12. Möbius Geometry -- 13. Complex Structure and Möbius Geometry -- 14. Isothermic Immersions in Möbius Space -- 15. Lie Sphere Geometry -- Solutions to Select Problems -- References -- Index
ISBN:9783319270760
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Convex geometry , Discrete geometry , Differential geometry , Mathematics , Differential Geometry , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9783319242989:ONLINE Show nearby items on shelf
Title:Recent Trends in Combinatorics
Author(s):
Date:2016
Size:1 online resource (14 p.)
Note:10.1007/978-3-319-24298-9
Contents:Section 1: Extremal and Probabilistic Combinatorics -- Problems Related to Graph Indices in Trees -- The edit distance in graphs: methods, results and generalizations -- Repetitions in graphs and sequences -- On Some Extremal Problems for Cycles in Graphs -- A survey of Turan problems for expansions -- Survey on matching, packing and Hamilton cycle problems on hypergraphs -- Rainbow Hamilton cycles in random graphs and hypergraphs -- Further applications of the Container Method -- Independent transv ersals and hypergraph matchings - an elementary approach -- Giant components in random graphs -- Infinite random graphs and properties of metrics -- Nordhaus-Gaddum Problems for Colin de Verdière Type Parameters, Variants of Tree-width, and Related Param eters -- Algebraic aspects of the normalized Laplacian -- Poset-free Families of Subsets.- Mathematics of causal sets -- Section 2: Additive and Analytic Combinatorics -- Lectures on Approximate groups and Hilbert's 5th Problem -- Character
sums and arithmetic combinatorics -- On sum-product problem -- Ajtai-Szemerédi Theorems over quasirandom groups -- Section 3: Enumerative and Geometric Combinatorics -- Moments of orthogonal polynomials and combinatorics -- The combinatorics of kno t invariants arising from the study of Macdonald polynomials -- Some algorithmic applications of partition functions in combinatorics -- Partition Analysis, Modular Functions, and Computer Algebra -- A survey of consecutive patterns in permutations -- Uni modality Problems in Ehrhart Theory -- Face enumeration on simplicial complexes -- Simplicial and Cellular Trees -- Parametric Polyhedra with at least k Lattice Points: Their Semigroup Structure and the k-Frobenius Problem.- Dynamical Algebraic Combinator ics and the Homomesy Phenomenon
ISBN:9783319242989
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The IMA Volumes in Mathematics and its Applications: 159
Keywords: Mathematics , Dynamics , Ergodic theory , Functional analysis , Convex geometry , Discrete geometry , Combinatorics , Biomathematics , Mathematics , Combinatorics , Convex and Discrete Geometry , Dynamical Systems and Ergodic Theory , Functional Analysis , Genetics and Population Dynamics
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Call number:SPRINGER-2014-9783642553615:ONLINE Show nearby items on shelf
Title:Algebra, Geometry and Mathematical Physics [electronic resource] : AGMP, Mulhouse, France, October 2011
Author(s): Abdenacer Makhlouf
Eugen Paal
Sergei D Silvestrov
Alexander Stolin
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetriesand conservation laws and mathematical physics and applications, the book covers deformation theory and quantization Hom-algebras and n-ary algebraic structures Hopf algebra, integrable systems and related math structures jet theoryand Weil bundles Lie theory and applications non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures ofLie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry andapplications in physics and beyond. The book benefits a broad audience of researchers a nd advanced students
Contents:Part I Algebra
Part II Geometry
Part III Dynamical Symmetries and Conservation Laws
Part IV Mathematical Physics and Applications
ISBN:9783642553615
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v85
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry , Engineering mathematics
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Call number:SPRINGER-2014-9783319068749:ONLINE Show nearby items on shelf
Title:Geomathematics: Theoretical Foundations, Applications and Future Developments [electronic resource]
Author(s): Frits Agterberg
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides a wealth of geomathematical case history studies performed by the author during his career at the Ministry of Natural Resources Canada, Geological Survey of Canada (NRCan-GSC). Several of the techniques newlydeveloped by the author and colleagues that are described in this book have become widely adopted, not only for further research by geomathematical colleagues, but by government organizations and industry worldwide. These includeWeights-of-Evidence modelling, mineral resource e stimation technology, trend surface analysis, automatic stratigraphic correlation and nonlinear geochemical exploration methods. The author has developed maximum likelihood methodologyand spline-fitting techniques for the construction of the international numerical geologic timescale. He has introduced the application of new theory of fractals and multifractals in the geostatistical evaluation of regional mineralresources and ore reserves and to study the spatial distribution of metals in rocks. The book also contains sections deemed important by the author but that have not been widely adopted because they require further research. Theseinclude the geometry of preferred orientations of contours and edge effects on maps, time series analysis of Quaternary retreating ice sheet related sedimentary data, estimation of first and last appearances of fossil taxa fromfrequency distributions of their observed first and last occurrences, tectonic reactivation along pre-existing schistosity planes in fold belts, us e of the grouped jackknife method for bias reduction in geometrical extrapolations, andnew applications of the theory of permanent, volume-independent frequency distributions
Contents:Foreword
Preface
1. Complexity of the Geological Framework and Use of Mathematics
2. Probability and Statistics
3.Maximum Likelihood, Lognormality and Compound Distributions
4.Correlation, Method of Least Squares, Linear Regression and the General Linear Model
5.Prediction of Occurrence of Discrete Events
6. Autocorrelation and Geostatistics
7.2D and 3D Trend Analysis
8.Statistical Analysis of Directional Features
9. Automated Stratigraphic Correlation, Splining and Geological Timescales
10. Fractals
11. Multifractals and Singularity Analysis
12
ISBN:9783319068749
Series:eBooks
Series:SpringerLink
Series:Quantitative Geology and Geostatistics, 0924-1973 : v18
Series:Mathematics and Statistics (Springer-11649)
Keywords: Geography , Geochemistry , GeologyxMathematics , Geology, Structural , Mines and mineral resources , Paleontology
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Call number:SPRINGER-2014-9783319056692:ONLINE Show nearby items on shelf
Title:Lobachevsky Geometry and Modern Nonlinear Problems [electronic resource]
Author(s): Andrey Popov
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This monograph presents the basic concepts of hyperbolic Lobachevsky geometry and their possible applications to modern nonlinear applied problems in mathematics and physics, summarizing the findings of roughly the last hundredyears. The central sect ions cover the classical building blocks of hyperbolic Lobachevsky geometry, pseudo spherical surfaces theory, net geometrical investigative techniques of nonlinear differential equations in partial derivatives,and their applications to the analysis of th e physical models. As the sine-Gordon equation appears to have profound geometrical roots and numerous applications to modern nonlinear problems, it is treated as a universalobject of investigation, connecting many of the problems discussed. The aim of th is book is to form a general geometrical view on the different problems of modern mathematics, physics and natural science in general in the contextof non-Euclidean hyperbolic geometry
Contents:Introduction
1 Foundations of Lobachevsky geometry: axiomatics, models, images in Euclidean space
2 The problem of realizing the Lobachevsky geometry in Euclidean space
3 The sine
Gordon equation: its geometry and applications of current interest
4 Lobachevsky geometry and nonlinear equations of mathematical physics
5 Non
Euclidean phase spaces. Discrete nets on the Lobachevsky plane and numerical integration algorithms for 2
equations
Bibliography
Index
ISBN:9783319056692
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Differential equations, partial
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Call number:SPRINGER-2014-9783319020907:ONLINE Show nearby items on shelf
Title:Reduced Order Methods for Modeling and Computational Reduction [electronic resource]
Author(s): Alfio Quarteroni
Gianluigi Rozza
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasison real time computing techniques and applications in computational mechanics, bioengineering and computer graphics. Several topics are covered, including: design, optimization, and control theory in real-time with applications inengineering data assimilation, geometry registr ation, and parameter estimation with special attention to real-time computing in biomedical engineering and computational physics real-time visualization of physics-based simulations incomputer science the treatment of high-dimensional problems in state s pace, physical space, or parameter space the interactions between different model reduction and dimensionality reduction approaches the development of generalerror estimation frameworks which take into account both model and discretization effects. This b ook is primarily addressed to computational scientists interested in computational reduction techniques for large scale differentialproblems
Contents:1 W. H. A. Schilders, A. Lutowska: A novel approach to model order reduction for coupled multiphysics problems
2 A. C. Ionita, A. C. Antoulas: Case study. Parametrized Reduction using Reduced
Basis and the Loewner Framework
3 M. Bebendorf, Y. Maday, B. Stamm: Comparison of some reduced representation approximations
4 H. Antil, M. Heinkenschloss, D. C. Sorensen: Application of the Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric System
5 K. Urban, S. Volkwein, O. Zeeb: Greedy Sampling using Nonlinear Optimization
6 P. Benner, L. Feng:
ISBN:9783319020907
Series:eBooks
Series:SpringerLink
Series:MS&A - Modeling, Simulation and Applications, 2037-5255 : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Electronic data processing , Computer science Mathematics , Engineering mathematics , Materials
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Call number:SPRINGER-2014-9783319012018:ONLINE Show nearby items on shelf
Title:Modeling of Carbon Nanotubes, Graphene and their Composites [electronic resource]
Author(s): Konstantinos I Tserpes
Nuno Silvestre
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book containstenchapters,authored by world experts in the field of simulation at nano-scale and aims to demonstrate the potentialities of computational techniques to model the mechanical behavior of nano-materials, suchas carbon nanotubes, graph ene and their composites. A large part of the research currently being conducted in the fields of materials science and engineering mechanics is devoted to carbon nanotubes, graphene and their applications. Inthis process, computational modeling is a very attractive research tool due to the difficulties in manufacturing and testing of nano-materials. Both atomistic modeling methods, such as molecular mechanics and molecular dynamics, andcontinuum modeling methods are being intensively used. Continuum mode ling offers significant advantages over atomistic modeling such as the reduced computational effort, the capability of modeling complex structures and bridgingdifferent analysis scales, thus enabling modeling from the nano- to the macro-scale. On the othe r hand, atomistic modeling is very accurate and can provide detailed information about the effects of material structure such as theinterfaces and functionalization
Contents:Preface
1 Improved mechanical performance of CNTs and CNT fibres in nanocomposites through inter
wall and inter
tube coupling
2 A Review on the Application of Nonlocal Elastic Models in Modeling of Carbon Nanotubes and Graphenes
3 A heterogeneous discrete approach of interfacial effects on multi
scale modelling of carbon nanotube and graphene based composites
4 Effect of Covalent Functionalization on Youngs Modulus of a Single
Wall Carbon Nanotube
5 Multiscale Modeling of Multifunctional Fuzzy Fibers based on Multi
Walled Carbon Nanotubes
6 Geometry
property relation in co
ISBN:9783319012018
Series:eBooks
Series:SpringerLink
Series:Springer Series in Materials Science, 0933-033X : v188
Series:Physics and Astronomy (Springer-11651)
Keywords: Materials
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Call number:SPRINGER-2014-9781493907816:ONLINE Show nearby items on shelf
Title:Rigidity and Symmetry [electronic resource]
Author(s): Robert Connelly
Asia Ivi Weiss
Walter Whiteley
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures, and to explore the interaction of geometry,algebra, and combinatorics . Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. Contributions present recent trends andadvances in discrete geometry, particularly in the the ory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry,group theory, classical geometry, hyperbolic geometry and topology. The volume will also be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating thesurprising impact of symmetry. It will appeal to students at both the advanced undergraduate and grad uate levels, as well as postdocs, structural engineers, and chemists
Contents:Volumes of Polytopes in Spaces of Constant Curvature (N. Abrosimov, A. Mednykh)
Cubic Cayley Graphs and Snarks (H. Ademir, K. Kutnar, D. Marui)
Local, Dimensional and Universal Rigidities: A unified Gram Matrix Approach (A. Alfakih)
Geometric Constructions for Symmetric 6
Configurations (L.W. Berman)
On External Symmetry Groups of Regular Maps (M.D.E. Conder, Y.S. Kwon, J. ir)
Variance Groups and the Structure of Mixed Polytopes (G. Cunningham)
Mobility in Symmetry
Regular Bar
and
Joint Frameworks (P.W. Fowler, S.D. Guest, B. Schulze)
Generic Global Rigidity in C
ISBN:9781493907816
Series:eBooks
Series:SpringerLink
Series:Fields Institute Communications, 1069-5265 : v70
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Discrete groups , Topology
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Call number:SPRINGER-2013-9788847028418:ONLINE Show nearby items on shelf
Title:Geometric Properties for Parabolic and Elliptic PDE's [electronic resource]
Author(s): Rolando Magnanini
Shigeru Sakaguchi
Angelo Alvino
Date:2013
Publisher:Milano : Springer Milan : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understoodquite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad andwell-established research area, with contributions tha t often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name afew. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulatingfuture developments and perspectives in this very active area of research
Note:Springer eBooks
Contents:Goro Akagi, Stability and instability of group invariant asymptotic profiles for fast diffusion equations
Elvise Berchio, A family of Hardy
Rellich type inequalities involving the L2
norm of the Hessian matrices
Massimiliano Bianchini and Paolo Salani, Power concavity for solutions of nonlinear elliptic problems in convex domains
Lorenzo Brasco and Rolando Magnanini, The heart of a convex set
Giulio Ciraolo, A viscosity equation for minimizers of a class of very degenerate elliptic functionals
Adele Ferone, Kato's inequality in the half space: an alternative proof and relative i
ISBN:9788847028418
Series:e-books
Series:SpringerLink (Online service)
Series:Springer INdAM Series, 2281-518X : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential equations, partial , Discrete groups , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2013-9783642393686:ONLINE Show nearby items on shelf
Title:Geometry of Continued Fractions [electronic resource]
Author(s): Oleg Karpenkov
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:Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest inmultidimensional generalizati ons of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometricvision of continued fractions. It covers several appli cations to questions related tosuch areas asDiophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress inthe geometric theory of multidimensional continued fractions accompanied by current ly open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful forundergraduate or graduate courses
Note:Springer eBooks
Contents:Preface
Introduction
Part 1. Regular continued fractions: Chapter 1. Classical notions and definitions
Chapter 2. On integer geometry
Chapter 3. Geometry of regular continued fractions
Chapter 4. Complete invariant of integer angles
Chapter 5. Integer trigonometry for integer angles
Chapter 6. Integer angles of integer triangles
Chapter 7. Continued fractions and SL(2 Z) conjugacy classes. Elements of Gauss Reduction Theory. Markoff spectrum
Chapter 8. Lagrange theorem
Chapter 9. Gauss
Kuzmin statistics
Chapter 10. Geometric approximation aspects
Chapter 11
ISBN:9783642393686
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v26
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Discrete groups , Number theory
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Call number:SPRINGER-2013-9783642333057:ONLINE Show nearby items on shelf
Title:Stochastic Geometry, Spatial Statistics and Random Fields [electronic resource] : Asymptotic Methods
Author(s): Evgeny Spodarev
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 provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limittheorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics. Written as a contributed volume of lecture notes, it will be useful not only for students but also for lecturers andresearchers interested in geometric probability and re lated subjects
Note:Springer eBooks
Contents:1 Foundations of stochastic geometry and theory of random sets
2 Introduction into integral geometry and stereology
3 Spatial point patterns models and statistics
4 Asymptotic methods in statistics of random point processes
5 Random tessellations and Cox processes
6 Asymptotic methods for random tessellations
7 Random polytopes
8 Limit theorems in discrete stochastic geometry
9 Introduction to random fields
10 Central limit theorems for weakly dependent random fields
11 Strong limit theorems for increments of random fields
12 Geometry of large random trees:
ISBN:9783642333057
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2068
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups , Distribution (Probability theory) , Mathematical statistics
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Call number:SPRINGER-2013-9783319004228:ONLINE Show nearby items on shelf
Title:Kinetic Simulations of Ion Transport in Fusion Devices [electronic resource]
Author(s): Andrs Bustos Molina
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This thesis deals with the problem of ion confinement in thermonuclear fusion devices. It is a topic of general interest, as it helps to understand via numerical simulations the ion confinement properties in complex geometries,in order to predict the ir behavior and maximize the performance of future fusion reactors. The main work carried out in this thesis is the improvement and exploitation of an existing simulation code called ISDEP. This code solves theso-called ion collisional transport in arbitr ary plasma geometry, improving in this sense other existing codes. Additionally, it presents outstanding portability and scalability in distributed computing architectures, such as Grid orVolunteer Computing. The main physical results can be divided into two blocks. First, the study of 3D ion transport in ITER is presented. ITER is the largest fusion reactor (under construction) and most of the simulations so far assumethe axis-symmetry of the device. Unfortunately, this symmetry is only an approximation because of the discrete number of magnetic coils used. ISDEP has shown, using a simple model of the 3D magnetic field, how the ion confinement isaffected by this symmetry breaking. Secondly, ISDEP has been applied successfully to the study of fast ion dyn amics in fusion plasmas. The fast ions, with energies much larger than the thermal energy, are a product of the devicesheating system. Thus, a numerical predictive tool can be used to improve the heating efficiency. ISDEP has been combined with the FAFNER 2 code to study such ions in stellarator (TJ-II, LHD) and tokamak (ITER) geometries. It has alsobeen validated by experimental results. In particular, comparisons with the CNPA diagnostic in the TJ-II stellarator are remarkable
Note:Springer eBooks
Contents:Introduction
ISDEP
3D Transport in ITER
Simulations of Fast Ions in Stellarators
Simulations of NBI Ion Transport in ITER
Overview and Conclusions
ISBN:9783319004228
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Nuclear fusion
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Call number:SPRINGER-2013-9783319002002:ONLINE Show nearby items on shelf
Title:Discrete Geometry and Optimization [electronic resource]
Author(s): Karoly Bezdek
Antoine Deza
Yinyu Ye
Date:2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplaybetween these subjects. Th e purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to furtherstimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified thisapproach. While these fields have recently witnessed a lot of activity a nd successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial timealgorithm for linear optimization is one of the most important unsolved problems at the beginning o f the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections betweendifferent approaches, and features novel results and state-of-the-art surveys as well as open problems
Note:Springer eBooks
Contents:Preface
Discrete Geometry in Minkowski Spaces (Alonso, Martini, and Spirova)
Engineering Branch
and
Cut Algorithms for the Equicut Program (Anjos, Liers, Pardella, and Schmutzer)
An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes (Anstreicher)
On Minimal Tilings with Convex Cells Each Containing a Unit Ball (Bezdek)
On Volumes of Permutation Polytopes (Burggraf, De Loera, and Omar)
Monotone Paths in Planar Convex Subdivisions and Polytopes (Dumitrescu, Rote, and Toth)
Complexity of the Positive Semidefinite Matrix Completion Problem with a Rank
ISBN:9783319002002
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Communications, 1069-5265 : v69
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2013-9783034804875:ONLINE Show nearby items on shelf
Title:Arithmetic and Geometry Around Galois Theory [electronic resource]
Author(s): Pierre Dbes
Michel Emsalem
Matthieu Romagny
A. Muhammed Uluda
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This Lecture Notes volume isthe fruit of two research-level summer schools jointly organized by the GTEM node at Lille University and the team of Galatasaray University (Istanbul): Geometry and Arithmetic of Moduli Spacesof Coverings (2008) and Geome try and Arithmetic around Galois Theory (2009). The volume focuses on geometric methods in Galois theory. The choice of the editors is to provide a complete and comprehensive account of modern pointsof view on Galois theory and related moduli problems, us ing stacks, gerbes and groupoids. It contains lecture notes on tale fundamental group and fundamental group scheme, and moduli stacks of curves and covers. Research articlescomplete the collection
Note:Springer eBooks
Contents:Preface
J. Bertin: Algebraic stacks with a view toward moduli stacks of covers
M. Romagny: Models of curves
A. Cadoret: Galois categories:
M. Emsalem. Fundamental groupoid scheme
N. Borne: Extension of Galois groups by solvable groups, and application to fundamental groups of curves
M.A. Garuti: On the Galois closure for finite morphisms
J
C. Douai: Hasse Principle and Cohomology of Groups
Z. Wojtkowiak: Periods of mixed Tate motives, examples, l
adic side
L. Bary
Soroker and E. Paran: On totally ramified extensions of discrete valued fields
R
P. Holzapfel a
ISBN:9783034804875
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v304
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Field theory (Physics) , Group theory
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Call number:SPRINGER-2013-9783034804813:ONLINE Show nearby items on shelf
Title:Complex Kleinian Groups [electronic resource]
Author(s): Angel Cano
Juan Pablo Navarrete
Jos Seade
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This monograph lays down the foundations of the theory of complex Kleinian groups, a newborn area of mathematics whose origin can be traced back to the work of Riemann, Poincar, Picard and many others. Kleinian groupsare, classically, discrete groups of conformal automorphisms of the Riemann sphere, and these can themselves be regarded as groups of holomorphic automorphisms of the complex projective line CP1. When we go into higher dimensions,there is a dichotomy: Should we look at conformal automorp hisms of the n-sphere? or should we look at holomorphic automorphisms of higher dimensional complex projective spaces? These two theories differ in higher dimensions. In thefirst case we are talking about groups of isometries of real hyperbolic spaces, an area of mathematics with a long-standing tradition in the second, about an area of mathematics that is still in its infancy, and this is the focus ofstudy in this monograph. It brings together several important areas of mathematics, e.g. classical Kleini an group actions, complex hyperbolic geometry, crystallographic groups and the uniformization problem for complex manifolds
Note:Springer eBooks
Contents:Preface
Introduction
Acknowledgments
1 A glance of the classical theory
2 Complex hyperbolic geometry
3 Complex Kleinian groups
4 Geometry and dynamics of automorphisms of P2C
5 Kleinian groups with a control group
6 The limit set in dimension two
7 On the dynamics of discrete subgroups of PU(n,1)
8 Projective orbifolds and dynamics in dimension two
9 Complex Schottky groups
10 Kleinian groups and twistor theory
Bibliography
Index.
ISBN:9783034804813
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v303
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Differentiable dynamical systems , Differential equations, partial
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Call number:SPRINGER-2013-9781461487814:ONLINE Show nearby items on shelf
Title:Ricci Flow for Shape Analysis and Surface Registration [electronic resource] : Theories, Algorithms and Applications
Author(s): Wei Zeng
Xianfeng David Gu
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:Ricci Flow for Shape Analysis and Surface Registration introduces the beautiful and profound Ricci flow theory in a discrete setting. By using basic tools in linear algebra and multivariate calculus, readers can deduce all themajor theorems in surfac e Ricci flow by themselves. The authors adapttheRicci flow theory to practical computational algorithms, apply Ricci flow for shape analysis and surface registration, and demonstrate the power of Ricciflow in many applications in medical imaging, computer graphics, computer vision and wireless sensor network. Due to minimal pre-requisites, this bookis accessible toengineersand medicalexperts, including educators,researchers, students and industry engineerswhohave an interest insolvingreal problems related to shape analysis and surface registration.
Note:Springer eBooks
Contents:1. Introduction
2. Computational
3.Computational Geometry
4. Differential Geometry of Surface
5. Riemann Surface
6. Ricci Flow
7. Topological Algorithms
8. Harmonic Maps
9. Discrete Ricci Flow
10. Shape Analysis
11. Surface Diffeomorphism
12. Medical Imaging Applications
13. Computer Vision Applications
14. Computer Graphics Applications
15. Network Applications.
ISBN:9781461487814
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer vision , Computer science Mathematics , Geometry , Discrete groups
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Call number:SPRINGER-2013-9781461481188:ONLINE Show nearby items on shelf
Title:Lectures on Sphere Arrangements the Discrete Geometric Side [electronic resource]
Author(s): Kroly Bezdek
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 monograph gives a short introduction to parts of modern discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements. The readership is aimed at advanced undergraduate andearly graduate stude nts, as well as interested researchers. It contains 30 open research problems ideal for graduate students and researchers in mathematics and computer science. Additionally, this book may be considered ideal for aone-semester advanced undergraduate or grad uate level course. The core of this book is based on three lectures given by the author at the Fields Institute during the thematic program on Discrete Geometry and Applications andcontains four basic topics. The first two deal with active areas that hav e been outstanding from the birth of discrete geometry, namely dense sphere packings and tilings. Sphere packings and tilings have a very strong connection tonumber theory, coding, groups, and mathematical programming. Extending the tradition of studying packings of spheres is the investigation of the monotonicity of volume under contractions of arbitrary arrangements of spheres. The thirdmajor topic can be found under the sections on ball-polyhedra that study the possibility of extending the theory of co nvex polytopes to the family of intersections of congruent balls. This section of the text is connected in many waysto the above-mentioned major topics as well as to some other important research areas such as that on coverings by planks (with close ties to geometric analysis). The fourth basic topic is discussed under covering balls by cylinders.
Note:Springer eBooks
Contents:1. Unit Sphere Packings
2. Proofs on Unit Sphere Packings
3. Contractions of Sphere Arrangements
4. Proofs on Contractions of Sphere Arrangements
5. Ball
Polyhedra and Spindle Convex Bodies
6. Proofs on Ball
Polyhedra and Spindle Convex Bodies
7. Coverings by Cylinders
8. Proofs on Coverings by Cylinders
9. Research Problems
an Overview
Glossary
References
ISBN:9781461481188
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Monographs, 1069-5273 : v32
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2013-9781461479727:ONLINE Show nearby items on shelf
Title:Harmonic Analysis on Symmetric SpacesEuclidean Space, the Sphere, and the Poincar Upper Half-Plane [electronic resource]
Author(s): Audrey Terras
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:This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincar upper half plane. This book is intended for beginning graduate students inmathematics or researchers in phy sics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, andengineering. Many corrections, new topics, and updates have be en incorporated in this new edition. These include discussions of the work of P. Sarnak and others making progress on various conjectures on modular forms, the work of T.Sunada, Marie-France Vignras, Carolyn Gordon, and others on Mark Kac's question Can y ou hear the shape of a drum?, Ramanujan graphs, wavelets, quasicrystals, modular knots, triangle and quaternion groups, computations of Maasswaveforms, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summationformula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon tr ansform, non-Euclidean geometry on the Poincar upper half plane H or unit disc andapplications to microwave engineering, fundamental domains in H for discrete groups , tessellations of H from such discrete group actions, automorphic forms, the Selberg tra ce formula and its applications in spectral theory as wellas number theory
Note:Springer eBooks
Contents:Chapter1 Flat Space. Fourier Analysis on R^m
1.1 Distributions or Generalized Functions
1.2 Fourier Integrals
1.3 Fourier Series and the Poisson Summation Formula
1.4 Mellin Transforms, Epstein and Dedekind Zeta Functions
1.5 Finite Symmetric Spaces, Wavelets, Quasicrystals, Weyls Criterion for Uniform Distribution
Chapter2 A Compact Symmetric Space
The Sphere
2.1 Fourier Analysis on the Sphere
2.2 O(3) and R^3. The Radon Transform
Chapter 3 The Poincar Upper Half
Plane
3.1 Hyperbolic Geometry
3.2 Harmonic Analysis on H
3.3 Fundamental Domains for
ISBN:9781461479727
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Topological Groups , Harmonic analysis , Fourier analysis , Functions of complex variables , Functions, special
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Call number:SPRINGER-2013-9781461472582:ONLINE Show nearby items on shelf
Title:The Mathematics of Paul Erds I [electronic resource]
Author(s): Ronald L Graham
Jaroslav Neetil
Steve Butler
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:This is the most comprehensive survey of the mathematical life of the legendary Paul Erds (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erds'research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles aswell as key articles that survey some of the cornerst ones of Erds' work, each written by a leading world specialist in the field. A special chapter Early Days, rare photographs, and art related to Erds complement this strikingcollection. A unique contribution is the bibliography on Erds' publications: the m ost comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erds' birth, contains updates on many of the articlesfrom the two volumes of the first edition, several new articles from prominent mathematicians, a new introd uction, more biographical information about Paul Erds, and an updated list of publications. The first volume contains theunique chapter Early Days, which features personal memories of Paul Erds by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated,most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popu lar of Erds' favorite geometry problems
Note:Springer eBooks
Contents:VOLUME I
Paul Erds Life and Work
Paul Erds Magic
Part I Early Days
Introduction
Some of My Favorite Problems and Results
3 Encounters with Paul Erds
4 Did Erds Save Western Civilization?
Integers Uniquely Represented by Certain Ternary Forms
Did Erds Save Western Civilization?
Encounters with Paul Erds
On Cubic Graphs of Girth at Least Five
Part II Number Theory
Introduction
Cross
disjoint Pairs of Clouds in the Interval Lattice
Classical Results on Primitive and Recent Results on Cross
Primitive Sequences
Dense Difference Sets a
ISBN:9781461472582
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups , Number theory , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781461464068:ONLINE Show nearby items on shelf
Title:Asymptotic Geometric Analysis [electronic resource] : Proceedings of the Fall 2010 Fields Institute Thematic Program
Author(s): Monika Ludwig
Vitali D Milman
Vladimir Pestov
Nicole Tomczak-Jaegermann
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Asymptotic Geometric Analysis is concerned with the geometric and linear properties of finite dimensional objects, normed spaces, and convex bodies, especially with the asymptotics of their various quantitative parameters as thedimension tends to inf inity. The deep geometric, probabilistic, and combinatorial methods developed here are used outside the field in many areas of mathematics and mathematical sciences. The Fields Institute Thematic Program in theFall of 2010 continued an established traditi on of previous large-scale programs devoted to the same general research direction. The main directions of the program included: * Asymptotic theory of convexity and normed spaces *Concentration of measure and isoperimetric inequalities, optimal transport ation approach * Applications of the concept of concentration * Connections with transformation groups and Ramsey theory * Geometrization of probability * Randommatrices * Connection with asymptotic combinatorics and complexity theory These directions are represented in this volume and reflect the present state of this important area of research. It will be of benefit to researchers working ina wide range of mathematical sciencesin particular functional analysis, combinatorics, convex geometry, dynamical systems, operator algebras, and computer science
Note:Springer eBooks
Contents:Preface
The Variance Conjecture on Some Polytopes (D. Alonso Gutirrez, J. Bastero)
More Universal Minimal Flows of Groups of Automorphisms of Uncountable Structures (D. Bartosova)
On the Lyapounov Exponents of Schrodinger Operators Associated with the Standard Map (J. Bourgain)
Overgroups of the Automorphism Group of the Rado Graph (P. Cameron, C. Laflamme, M. Pouzet, S. Tarzi, R. Woodrow)
On a Stability Property of the Generalized Spherical Radon Transform (D. Faifman)
Banach Representations and Affine Compactification of Dynamical Systems (E. Glasner, M. Megrelishvili)
F
ISBN:9781461464068
Series:e-books
Series:SpringerLink (Online service)
Series:Fields Institute Communications, 1069-5265 : v68
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topological Groups , Functional analysis , Operator theory , Discrete groups , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781461451280:ONLINE Show nearby items on shelf
Title:Distance Geometry [electronic resource] : Theory, Methods, and Applications
Author(s): Antonio Mucherino
Carlile Lavor
Leo Liberti
Nelson Maculan
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Distance Geometry:Theory, Methods, and Applications is the first collection of research surveys dedicated to distance geometry and its applications. The first part of the book discusses theoretical aspects of the DistanceGeometry Problem (DGP), where the relation between DGP and other related subjects are also presented. Covered topics include distance matrix theory, Euclidean distance matrix completion, multispherical structure of distance matrices,geometric algebra, algebraic distance geometry theo ry, visualization of K-dimensional structures in the plane, graph rigidity, and theory of discretizable DGP. The second part of this volume presents mathematical and computationalproperties of methods developed to the problems discussed in the first porti on, including continuous methods (based on Gaussian and hyperbolic smoothing, difference of convex functions, semidefinite programming, branch-and-bound),discrete methods (based on branch-and-prune, geometric build-up, graph rigidity), and also heuristics methods (based on simulated annealing, genetic algorithms, tabu search, variable neighborhood search). Applications comprise thethird part of the book, which is mainly devoted to the application of DGP to NMR structure calculation. This is an important a nd strongly multidisciplinary application in biology and biomedicine
Note:Springer eBooks
Contents:Preface
1. Universal Rigidity of Bar Frameworks in General Position (A. Alfakih)
2. Mixed Volume and Distance Geometry Techniques for Counting Euclidean Embeddings of Rigid Graphs (I. Emiris, E. Tsigaridas, A. Varvitsiotis)
3. (The discretizable molecular distance Geometry Problem Seems Easier on Proteins (L. Liberti, C. Lavor, A. Mucherino)
4. Spheres Unions and Intersections and Some of Their Applications in Molecular Modeling (M. Petitjean)
5. Is the Distance Geometry Problem in NP? (N. Beeker, S. Gaubert, C. Glusa, L. Liberti)
6. Solving Spatial Constraints with Generaliz
ISBN:9781461451280
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Visualization , Geometry
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Call number:SPRINGER-2013-9781461448976:ONLINE Show nearby items on shelf
Title:Recent Trends in Lorentzian Geometry [electronic resource]
Author(s): Miguel Snchez
MIguel Ortega
Alfonso Romero
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity,as well as to explore new genuine geometric behaviors, far from classical Riemannian techniques. Recent progress has attracteda renewed interest in this theoryfor many researchers: long-standing global open problems have been solved, outstanding Lorentzian spaces and groups have been classified, new applications to mathematical relativity and high energyphysics have been found, and further connection s with other geometries have been developed. Samplesof these fresh trends are presented in this volume, based on contributions from the VI International Meeting on LorentzianGeometry, held at the University of Granada, Spain, in September, 2011. Topics s uch as geodesics, maximal,trapped and constant mean curvature submanifolds, classifications of manifolds with relevant symmetries, relations betweenLorentzian and Finslerian geometries, and applications to mathematical physics are included. This book wil l be suitable for a broad audience of differential geometers, mathematical physicists and relativists, and researchers inthe field
Note:Springer eBooks
ISBN:9781461448976
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v26
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups , Global differential geometry
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Call number:SPRINGER-2013-9781447148630:ONLINE Show nearby items on shelf
Title:Symmetries, Integrable Systems and Representations [electronic resource]
Author(s): Kenji Iohara
Sophie Morier-Genoud
Bertrand Rmy
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
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Note:This volume is the result of two international workshops Infinite Analysis 11 Frontier of Integrability held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems andRepresentations held at Universit Claude Be rnard Lyon 1, France in December 13th to 16th, 2011. Included are research articles based on the talks presented at the workshops, latest results obtained thereafter, and some reviewarticles. The subjects discussed range across diverse areas such as algeb raic geometry, combinatorics, differential equations, integrable systems, representation theory, solvable lattice models and special functions. Through thesetopics, the readerwill find some recent developments in the field of mathematical physics and thei r interactions with several other domains
Note:Springer eBooks
Contents:A presentation of the deformed W1+1 algebra
Generating series of the Poincar polynomials of quasihomogeneous Hilbert schemes
PBW filtration over Z and compatible bases for VZ(_) in type An and Cn
On the subgeneric restricted blocks of affine category O at the critical level
Slavnov determinants, Yang
Mills structure constants, and discrete KP
Monodromy of partial KZ functors for rational Cherednik algebras
Category of finite dimensional modules over an orthosymplectic Lie superalgebra: small rank examples
Monoidal categorifications of cluster algebras of type A and D
ISBN:9781447148630
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v40
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Functions, special , Combinatorics , Mathematical physics
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Call number:SPRINGER-2013-9781447148173:ONLINE Show nearby items on shelf
Title:Polyhedral and Algebraic Methods in Computational Geometry [electronic resource]
Author(s): Michael Joswig
Thorsten Theobald
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
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Note:Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementaryalgebraic geometry. The f irst part of the book studies classical problems and techniquesthat refer to polyhedral structures. The authors include a study on algorithms for computing convex hulls as well as the construction ofVoronoi diagrams and Delone triangulations. The second p art of the book develops the primary concepts of (non-linear) computational algebraic geometry. Here, the book looks at Grbner bases and solving systems of polynomialequations. The theory is illustrated by applications in computer graphics, curve reconstr uction and robotics. Throughout the book, interconnections between computational geometry and other disciplines (such as algebraic geometry,optimization and numerical mathematics) are established. Polyhedral and Algebraic Methods in Computational Geometry is directed towards advanced undergraduates in mathematics and computer science, as well as towards engineeringstudents who are interested in the applications of computational geometry
Note:Springer eBooks
Contents:Introduction and Overview
Geometric Fundamentals
Polytopes and Polyhedra
Linear Programming
Computation of Convex Hulls
Voronoi Diagrams
Delone Triangulations
Algebraic and Geometric Foundations
Grbner Bases and Buchbergers Algorithm
Solving Systems of Polynomial Equations Using Grbner Bases
Reconstruction of Curves
Plcker Coordinates and Lines in Space
Applications of Non
Linear Computational Geometry
Algebraic Structures
Separation Theorems
Algorithms and Complexity
Software
Notation
ISBN:9781447148173
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Algebra Data processing , Algorithms , Geometry , Discrete groups
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Call number:SPRINGER-2012-9783642298493:ONLINE Show nearby items on shelf
Title:Geometric Aspects of Functional Analysis [electronic resource] : Israel Seminar 20062010
Author(s): Bo'az Klartag
Shahar Mendelson
Vitali D Milman
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the generaltrends of Asymptotic Geome tric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the theory, including classical topics in the geometry of convexbodies, inequalities involving volumes of such bo dies or more generally, logarithmically-concave measures, valuation theory, probabilistic and isoperimetric problems in the combinatorial setting, volume distribution on high-dimensionalspaces and characterization of classical constructions in Geometry an d Analysis (like the Legendre and Fourier transforms, derivation and others). All the papers here are original research papers
Note:Springer eBooks
Contents:The
Cosine Transform and Intertwining Integrals on Real Grassmannians
On Modules Over Valuations
On Multiplicative Maps of Continuous and Smooth Functions
Order Isomorphisms on Convex Functions in Windows
Finite Transitive Graph Embeddings into a Hyperbolic
Metric Space Must Stretch or Squeeze
Tightness of Fluctuations of First Passage Percolation on Some Large Graphs
Finitely Supported Measures on SL2(R) which are Absolutely Continuous at Infinity
Interpolations, Convexity and Geometric Inequalities
Hypercontractive Measures, Talagrand's Inequality, and Inuences
ISBN:9783642298493
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2050
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Discrete groups , Distribution (Probability theory)
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Call number:SPRINGER-2012-9783642244407:ONLINE Show nearby items on shelf
Title:Quantum Triangulations [electronic resource] : Moduli Spaces, Strings, and Quantum Computing
Author(s): Mauro Carfora
Annalisa Marzuoli
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Research on polyhedral manifolds often points to unexpected connections between very distinct aspects of Mathematics and Physics. In particular triangulated manifolds play quite a distinguished role in such settings as Riemannmoduli space theory, str ings and quantum gravity, topological quantum field theory, condensed matter physics, and critical phenomena. Not only do they provide a natural discrete analogue to the smooth manifolds on which physicaltheories are typically formulated, but their appear ance is rather often a consequence of an underlying structure which naturally calls into play non-trivial aspects of representation theory, of complex analysis and topology in a waywhich makes manifest the basic geometric structures of the physical intera ctions involved. Yet, in most of the existing literature, triangulated manifolds are still merely viewed as a convenient discretization of a given physicaltheory to make it more amenable for numerical treatment. The motivation for these lectures notes is thus to provide an approachable introduction to this topic, emphasizing the conceptual aspects, and probing, through a set of casesstudies, the connection between triangulated manifolds and quantum physics to the deepest. This volume addresses applied m athematicians and theoretical physicists working in the field of quantum geometry and its applications.
Note:Springer eBooks
Contents:Triangulated Surfaces and Polyhedral Structures
Singular Euclidean Structures an Riemann Surfaces
Polyhedral Surfaces and the Weil
Petersson Form
The Quantum Geometry of Polyhedral Surfaces
State Sum Models and Observables
Combinatorial Framework for Topological Quantum Computing
A Capsule of Moduli Space Theory
Spectral Theory on Polyhedral Surfaces
Index
ISBN:9783642244407
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v845
Series:Physics and Astronomy (Springer-11651)
Keywords: Cell aggregation Mathematics , Quantum theory
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Call number:SPRINGER-2012-9783034804059:ONLINE Show nearby items on shelf
Title:Associahedra, Tamari Lattices and Related Structures [electronic resource] : Tamari Memorial Festschrift
Author(s): Folkert Mller-Hoissen
Jean Marcel Pallo
Jim Stasheff
Date:2012
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
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Note:Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. Thiswas the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematicalwork. Tamari lattices ca n be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure andapplied mathematics, such as algebra, combinator ics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari'scentennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers inmathematics and mathematical physics and are accompanied by high quality illustrations
Note:Springer eBooks
ISBN:9783034804059
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v299
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Discrete groups , Number theory , Algebraic topology
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Call number:SPRINGER-2012-9780817683108:ONLINE Show nearby items on shelf
Title:Mathematical Analysis [electronic resource] : Foundations and Advanced Techniques for Functions of Several Variables
Author(s): Mariano Giaquinta
Giuseppe Modica
Date:2012
Publisher:Boston : Birkhuser Boston
Size:1 online resource
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Note:Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in anearlier introductory v olume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differentialforms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics.The authorsconclude with the study of measure and integration theory Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. Thiswork may be used as a supplementary text in the classroom or for self-study by advanced undergra duate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengthsof this presentation, along with the other four books on analysis published by the authors, is the motivation for und erstanding the subject through examples, observations, exercises, and illustrations. Other books published by theauthors all of which provide the reader with a strong foundation in modern-day analysis include: * Mathematical Analysis: Functions of One V ariable * Mathematical Analysis: Approximation and Discrete Processes * MathematicalAnalysis: Linear and Metric Structures and Continuity * Mathematical Analysis: An Introduction to Functions of Several Variables Reviews of previous volumes of Mathematica l Analysis: The presentation of the theory is clearly arranged,all theorems have rigorous proofs, and every chapter closes with a summing up of the results and exercises with different requ
Note:Springer eBooks
Contents:Preface
Spaces of Summable Functions and Partial Differential Equations
Convex Sets and Convex Functions
The Formalism of the Calculus of Variations
Differential Forms
Measures and Integrations
Hausdorff and Radon Measures
Mathematicians and Other Scientists
Bibliographical Notes
Index
ISBN:9780817683108
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics)
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Call number:SPRINGER-2011-9783642220036:ONLINE Show nearby items on shelf
Title:Algebraic Topology of Finite Topological Spaces and Applications [electronic resource]
Author(s): Jonathan A Barmak
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This volume deals with the theory of finite topological spaces and its relationship with the homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic combinatorial and topological structures makesfinite spaces a usefu l tool for studying problems in Topology, Algebra and Geometry from a new perspective. In particular, the methods developed in this manuscript are used to study Quillens conjecture on the poset of p-subgroups ofa finite group and the Andrews-Curtis conjec ture on the 3-deformability of contractible two-dimensional complexes. This self-contained work constitutes the first detailed exposition on the algebraic topology of finite spaces. It isintended for topologists and combinatorialists, but it is also recom mended for advanced undergraduate students and graduate students with a modest knowledge of Algebraic Topology
Note:Springer eBooks
Contents:1 Preliminaries
2 Basic topological properties of finite spaces
3 Minimal finite models
4 Simple homotopy types and finite spaces
5 Strong homotopy types
6 Methods of reduction
7 h
regular complexes and quotients
8 Group actions and a conjecture of Quillen
9 Reduced lattices
10 Fixed points and the Lefschetz number
11 The Andrews
Curtis conjecture
ISBN:9783642220036
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2032
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Combinatorics , Discrete groups , Algebraic topology , Cell aggregation Mathematics
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Call number:SPRINGER-2011-9783642172861:ONLINE Show nearby items on shelf
Title:Perspectives on Projective Geometry [electronic resource] : A Guided Tour Through Real and Complex Geometry
Author(s): Jrgen Richter-Gebert
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry.It can be considered the common foundation of many other geometric disciplines like Euclidean geometry, hyperbolic andelliptic geometry or eve n relativistic space-time geometry. This book offers a comprehensive introduction to this fascinating field and its applications.In particular, itexplains how metric concepts may be best understood inprojective terms. One of the major themes that appears throughout this book is the beauty of the interplaybetweengeometry, algebra and combinatorics. This book can especially be used as a guide that explains how geometric objectsand operations may be most elegantly expressed in algebraic terms, making it a va luable resource for mathematicians, as well as for computer scientists and physicists. The book is based on the authors experience in implementinggeometric software and includes hundreds ofhigh-qualityillustrations
Note:Springer eBooks
Contents:1 Pappos's Theorem: Nine Proofs and Three Variations
2 Projective Planes
3 Homogeneous Coordinates
4 Lines and Cross
Ratios
5 Calculating with Points on Lines
6 Determinants
7 More on Bracket Algebra
8 Quadrilateral Sets and Liftings
9 Conics and Their Duals
10 Conics and Perspectivity
11 Calculating with Conics
12 Projective $d$
space
13 Diagram Techniques
14 Working with diagrams
15 Configurations, Theorems, and Bracket Expressions
16 Complex Numbers: A Primer
17 The Complex Projective Line
18 Euclidean Geometry
19 Euclidean Structures fr
ISBN:9783642172861
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Algorithms , Visualization , Geometry , Discrete groups
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Call number:SPRINGER-2011-9781461411291:ONLINE Show nearby items on shelf
Title:The Kepler Conjecture [electronic resource] The Hales-Ferguson Proof
Author(s): Jeffrey C Lagarias
Date:2011
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:The Kepler conjecture, one of geometry's oldest unsolved problems, was formulated in 1611 by Johannes Kepler and mentioned by Hilbert in his famous 1900 problem list. The Kepler conjecture states that the densest packing ofthree-dimensional Euclidean space by equal spheres is attained by the cannonball packing. In a landmark result, this was proved by Thomas C. Hales and Samuel P. Ferguson, using an analytic argument completed with extensive use ofcomputers. This book centers around six papers, prese nting the detailed proof of the Kepler conjecture given by Hales and Ferguson, published in 2006 in a special issue of Discrete & Computational Geometry. Further supporting materialis also presented: a follow-up paper of Hales et al (2010) revising the pr oof, and describing progress towards a formal proof of the Kepler conjecture. For historical reasons, this book also includes two early papers of Hales thatindicate his original approach to the conjecture. The editor's two introductory chapters situate th e conjecture in a broader historical and mathematical context. These chapters provide a valuable perspective and are a key feature ofthis work. Thomas C. Hales, Mellon Professor of Mathematics at the University of Pittsburgh, began his efforts to solve th e Kepler conjecture before 1992. He is a pioneer in the use of computer proof techniques, and he continues workon a formal proof of the Kepler conjecture as the aim of the Flyspeck Project (F, P and K standing for Formal Proof of Kepler). Samuel P. Fergus on completed his doctorate in 1997 under the direction of Hales at the University ofMichigan. In 1995, Ferguson began to work with Hales and made significant contributions to the proof of the Kepler conjecture. His doctoral work established one crucial ca se of the proof, which appeared as a singly authored paper inthe detailed proof. Jeffrey C. Lagarias, Professor of Mathematics at the University of Michigan, Ann Arbor, was a co-guest editor, with G
Note:Springer eBooks
Contents:Preface
Part I, Introduction and Survey
1 The Kepler Conjecture and Its Proof, by J. C. Lagarias
2 Bounds for Local Density of Sphere Packings and the Kepler Conjecture, by J. C. Lagarias
Part II, Proof of the Kepler Conjecture
Guest Editor's Foreword
3 Historical Overview of the Kepler Conjecture, by T. C. Hales
4 A Formulation of the Kepler Conjecture, by T. C. Hales and S. P. Ferguson
5 Sphere Packings III. Extremal Cases, by T. C. Hales
6 Sphere Packings IV. Detailed Bounds, by T. C. Hales
7 Sphere Packings V. Pentahedral Prisms, by S. P. Ferguson
8 Sphere
ISBN:9781461411291
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups
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Call number:SPRINGER-2011-9780857291066:ONLINE Show nearby items on shelf
Title:Monomial Ideals [electronic resource]
Author(s): Jrgen Herzog
Takayuki Hibi
Date:2011
Publisher:London : Springer London
Size:1 online resource
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Note:This book demonstrates current trends in research on combinatorial and computational commutative algebra with a primary emphasis on topics related to monomial ideals. Providing a useful and quick introduction to areas of researchspanning these fields , Monomial Ideals is split into three parts. Part I offers a quick introduction to the modern theory of Grbner bases as well as the detailed study of generic initial ideals. Part II supplies Hilbert functions andresolutions and some of the combinatorics r elated to monomial ideals including the KruskalKatona theorem and algebraic aspects of Alexander duality. Part III discusses combinatorial applications of monomial ideals, providing avaluable overview of some of the central trends in algebraic combinatori cs. Main subjects include edge ideals of finite graphs, powers of ideals, algebraic shifting theory and an introduction to discrete polymatroids. Theory iscomplemented by a number of examples and exercises throughout, bringing the reader to a deeper under standing of concepts explored within the text. Self-contained and concise, this book will appeal to a wide range of readers, includingPhD students on advanced courses, experienced researchers, and combinatorialists and non-specialists with a basic knowled ge of commutative algebra. Since their first meeting in 1985, Juergen Herzog (Universitt Duisburg-Essen,Germany) and Takayuki Hibi (Osaka University, Japan), have worked together on a number of research projects, of which recent results are presented in t his monograph
Note:Springer eBooks
Contents:Part I Grbner bases: Monomial Ideals
A short introduction to Grbner bases
Monomial orders and weights
Generic initial ideals
The exterior algebra
Part II: Hilbert functions and resolutions
Hilbert functions and the theorems of Macaulay and Kruskal
Katona
Resolutions of monomial ideals and the Eliahou
Kervaire formula
Alexander duality and resolutions
Part III Combinatorics: Alexander duality and finite graphs
Powers of monomial ideals
Shifting theory
Discrete Polymatroids
Some homological algebra
Geometry
ISBN:9780857291066
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v260
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2011-9780817680923:ONLINE Show nearby items on shelf
Title:Ramsey Theory [electronic resource] : Yesterday, Today, and Tomorrow
Author(s): Alexander Soifer
Date:2011
Edition:1
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
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Note:Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory,topology, combinatorial geom etry, set theory, and measure theory. Ramsey theory possesses its own unifying ideas, and some of its results are among the most beautiful theorems of mathematics. The underlying theme of Ramsey theory canbe formulated as: any finite coloring of a large e nough system contains a monochromatic subsystem of higher degree of organization than the system itself, or as T.S. Motzkin famously put it, absolute disorder is impossible. RamseyTheory: Yesterday, Today, and Tomorrow explores the theorys history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys providehistorical background on the subject the last three address Euclidean Ramsey theory and related color ing problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal tograduate students and mathematicians alike. Contributors: J. Burkert, A. Dudek, R.L. Graham, A. Gyrfs, P.D. Johnson, Jr., S.P. Ra dziszowski, V. Rdl, J.H. Spencer, A. Soifer, E. Tressler
Note:Springer eBooks
Contents:How This Book Came into Being
Table of Contents
Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts
Eighty Years of Ramsey R(3, k). . . and Counting!
Ramsey Numbers Involving Cycles
On the function of Erds and Rogers
Large Monochromatic Components in Edge Colorings of Graphs
Szlams Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications
Open Problems in Euclidean Ramsey Theory
Chromatic Number of the Plane and Its Relatives, History, Problems and Results: An Essay in 11 Parts
Euclidean Distance
ISBN:9780817680923
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v285
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Combinatorics , Discrete groups
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Call number:SPRINGER-2010-9783642118975:ONLINE Show nearby items on shelf
Title:New Paths Towards Quantum Gravity [electronic resource]
Author(s): Bernhelm Boo-Bavnbek
G Esposito
Matthias Lesch
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Aside from the obvious statement that it should be a theory capable of unifying general relativity and quantum field theory, not much is known about the true nature of quantum gravity. New ideas - and there are many of them forthis is an exciting fie ld of research - often diverge to a degree where it seems impossible to decide in which of the many possible direction(s) the ongoing developments should be further sustained. The division of the book in two(overlapping) parts reflects the duality between the physical vision and the mathematical construction. The former is represented by tutorial reviews on non-commutative geometry, on space-time discretization and renormalization and ongauge field path integrals. The latter one by lectures on cohomology, on stochastic geometry and on mathematical tools for the effective action in quantum gravity. The book will benefit everyone working or entering the field of quantumgravity research
Note:Springer eBooks
Contents:Three Physics Visions
Notes on Quantum Gravity and Noncommutative Geometry
Quantum Gravity as Sum over Spacetimes
Lectures on Quantization of Gauge Systems
Novel Mathematical Tools
Mathematical Tools for Calculation of the Effective Action Effective Action in Quantum Gravity
Lectures on Cohomology, T
Duality, and Generalized Geometry
Stochastic Geometry and Quantum Gravity: Some Rigorous Results
Afterthoughts
Steps Towards Quantum Gravity and the Practice of Science: Will the Merger of Mathematics and Physics Work?
ISBN:9783642118975
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v807
Series:Physics and Astronomy (Springer-11651)
Keywords: Discrete groups
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Call number:SPRINGER-2010-9783540709978:ONLINE Show nearby items on shelf
Title:Geometry Revealed [electronic resource] : A Jacob's Ladder to Modern Higher Geometry
Author(s): Marcel Berger
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:Both classical geometry and modern differential geometry have been active subjects of research throughout the 20th century and lie at the heart of many recent advances in mathematics and physics. The underlying motivating conceptfor the present book is that it offers readers the elements of a modern geometric culture by means of a whole series of visually appealing unsolved (or recently solved) problems that require the creation of concepts and tools ofvarying abstraction. Starting with such natural, classical objects as lines, planes, circles, spheres, polygons, polyhedra, curves, surfaces, convex sets, etc., crucial ideas and above all abstract concepts needed for attaining theresults are elucidated. These are conceptual notions, each built above t he preceding and permitting an increase in abstraction, represented metaphorically by Jacob's ladder with its rungs: the 'ladder' in the Old Testament, thatangels ascended and descended... In all this, the aim of the book is to demonstrate to readers the unceasingly renewed spirit of geometry and that even so-called elementary geometry is very much alive and at the very heart of thework of numerous contemporary mathematicians. It is also shown that there are innumerable paths yet to be explored and concep ts to be created. The book is visually rich and inviting, so that readers may open it at random places andfind much pleasure throughout according their own intuitions and inclinations. Marcel Berger is the author of numerous successful books on geometry, this book once again is addressed to all students and teachers of mathematics with anaffinity for geometry
Note:Springer eBooks
Contents:Points and lines in the plane
Circles and spheres
The sphere by itself: can we distribute points on it evenly?
Conics and quadrics
Plane curves
Smooth surfaces
Convexity and convex sets
Polygons, polyhedra, polytopes
Lattices, packings and tilings in the plane
Lattices and packings in higher dimensions
Geometry and dynamics I: billiards
Geometry and dynamics II: geodesic flow on a surface
ISBN:9783540709978
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Combinatorics , Geometry , Discrete groups , Global differential geometry , Mathematics_$xHistory
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Call number:SPRINGER-2010-9783540681212:ONLINE Show nearby items on shelf
Title:Markets with Transaction Costs [electronic resource] : Mathematical Theory
Author(s): Yuri Kabanov
Mher Safarian
Date:2010
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:The central mathematical concept in the theory of frictionless markets is a martingale measure. In this, the first monograph devoted to the theory of financial markets with transaction costs, the authors argue that, for financialmarkets with proporti onal transaction costs, this concept should be replaced by that of the consistent price system, which is a martingale evolving in the duals to the solvency cones. Three main subjects are considered: 1. The Lelandapproach to the hedging of contingent claim s based on approximate replication. 2. Arbitrage theory for markets with proportional transaction costs based on a geometric approach. 3. The consumption-investment problem analyzed usingviscosity solutions of the Hamilton-Jacobi-Bellman equation. The fir st part contains recent findings on hedging errors and limit theorems for Leland-type strategies. The rigorous mathematical analysis presented in the book is designedto serve as a platform for further studies. The second part includes a chapter on the arb itrage theory for frictionless markets in discrete time. It is presented as an introduction to the theory of markets with transaction costs, butcan also be read independently. The main subjects of the second part are no-arbitrage criteria and hedging theo rems for European and American options under transaction costs. In contrast to the classical theory, the value processes arevector-valued and the concept of the martingale measure is replaced by the concept of the consistent price system. Hedging theorems give dual descriptions of the set of initial endowments needed to super-replicate contingent claims.These descriptions are expressed in terms of consistent price systems. This volume provides a detailed study of various new phenomena arising in the prese nce of market friction in discrete and continuous time. The mathematics needed isa synthesis of ideas from finite-dimensional geometry, geometric functional analysis, and general theory of stochastic pr
Note:Springer eBooks
Contents:1.Approximative Hedging
2.Arbitrage Theory for Frictionless Markets
3.Arbitrage Theory under Transaction Costs
4.Consumption
Investment Problems
A.Appendices: A.1.Facts from Convex Analysis
A.2.Csaro Convergence
A.3.Facts from Probability
A.4.Measurable Selection
A.5.Fatou
Convergence and Bipolar Theorem in L0
A.6.Skorohod Problem and SDE with Reflections
B.Bibliographical comments
References
ISBN:9783540681212
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Finance
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Finance , Distribution (Probability theory)
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Call number:SPRINGER-2010-9783034604253:ONLINE Show nearby items on shelf
Title:Visions in Mathematics [electronic resource] : GAFA 2000 Special volume, Part II
Author(s): N Alon
J Bourgain
A Connes
M Gromov
V Milman
Date:2010
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
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Note:Visions in Mathematics - Towards 2000 was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematiciansworldwide. The goals of the conf erence were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims ofthe conference are reflected in the present set of sur vey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the second part of a two-volume set that will serve anyresearch mathematician or advanced student as an overview and guideline thr ough the multifaceted body of mathematical research in the present and near future
Note:Springer eBooks
Contents:Foreword
Algebraic and probabilistic methods in discrete mathematics
Challenges in analysis
Noncommutative geometry
Year 2000
Indtroduction to symplectic field theory
Holomorphic curves and real three
dimensional dynamics
Perspectives on the analytic theory of L
functions
Combinatorics with a geometric flavor
Topics in asymptotic geometric analysis
Quantum information theory: results and open problems
Universality, phase transitions and statistical mechanics
How classical physics helps mathematics
Addendum: Discussions at the Dead Sea
Introduction
Di
ISBN:9783034604253
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2010-9781441991263:ONLINE Show nearby items on shelf
Title:Discrete Integrable Systems [electronic resource] : QRT Maps and Elliptic Surfaces
Author(s): J.J Duistermaat
Date:2010
Edition:1
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The rich subject matter in this book brings in mathematics from different domains, especially from the theory of elliptic surfaces and dynamics.The material comes from the authors insights and understanding of a birationaltransformation of the plane derived from a discrete sine-Gordon equation, posing the question of determining the behavior of the discrete dynamical system defined by the iterates of the map. The aim of this book is to give a completetreatment not only of the basic facts about QRT ma ps, but also the background theory on which these maps are based. Readers with a good knowledge of algebraic geometry will be interested in Kodairas theory of elliptic surfaces andthe collection of nontrivial applications presented here. While prerequisit es for some readers will demand their knowledge of quite a bit of algebraic- and complex analytic geometry, different categories of readers will be able tobecome familiar with any selected interest in the book without having to make an extensive journey t hrough the literature
Note:Springer eBooks
Contents:The QRT Map
The Pencil of Biquadratic Curves in
The QRT surface
Cubic Curves in the Projective Plane
The Action of the QRT Map on Homology
Elliptic Surfaces
Automorphisms of Elliptic Surfaces
Elliptic Fibrations with a Real Structure
Rational elliptic surfaces
Symmetric QRT Maps
Examples from the Literature
Appendices
ISBN:9781441991263
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Functions of complex variables , Number theory
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Call number:SPRINGER-2010-9781441957801:ONLINE Show nearby items on shelf
Title:Fundamentals of Probability: A First Course [electronic resource]
Author(s): Anirban DasGupta
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
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Note:This is a text encompassing all of the standard topics in introductory probability theory, together with a significant amount of optional material of emerging importance. The emphasis is on a lucid and accessible writing style,mixed with a large numb er of interesting examples of a diverse nature. The text will prepare students extremely well for courses in more advanced probability and in statistical theory and for the actuary exam. The book coverscombinatorial probability, all the standard univariat e discrete and continuous distributions, joint and conditional distributions in the bivariate and the multivariate case, the bivariate normal distribution, moment generatingfunctions, various probability inequalities, the central limit theorem and the law s of large numbers, and the distribution theory of order statistics. In addition, the book gives a complete and accessible treatment of finite Markovchains, and a treatment of modern urn models and statistical genetics. It includes 303 worked out examples and 810 exercises, including a large compendium of supplementary exercises for exam preparation and additional homework. Eachchapter has a detailed chapter summary. The appendix includes the important formulas for the distributions in common use and impo rtant formulas from calculus, algebra, trigonometry, and geometry. Anirban DasGupta is Professor ofStatistics at Purdue University, USA. He has been the main editor of the Lecture Notes and Monographs series, as well as the Collections series of the Insti tute of Mathematical Statistics, and is currently the Co-editor of the SelectedWorks in Statistics and Probability series, published by Springer. He has been an associate editor of the Annals of Statistics, Journal of the American Statistical Association, Journal of Statistical Planning and Inference,International Statistical Review, Sankhya, and Metrika. He is the author of Asymptotic Theory of Statistics and Probability, 2008, and of 70 refereed artic
Note:Springer eBooks
Contents:Introducing probability
The birthday and matching problems
Conditional probability and independence
Integer
valued and discrete random variables
Generating functions
Standard discrete distributions
Continuous random variables
Some special continuous distributions
Normal distribution
Normal approximations and the Central Limit Theorem
Multivariate discrete distributions
Multidimensional densities
Convolutions and transformations
Markov chains and applications
Urn models in physics and genetics
Appendix I: Supplementary homework and practice problems
ISBN:9781441957801
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Texts in Statistics, 1431-875X
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory)
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