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SPIRES-BOOKS: FIND KEYWORD ALGEBRAIC GEOMETRY *END*INIT* use /tmp/qspiwww.webspi1/9721.53 QRY 131.225.70.96 . find keyword algebraic geometry ( in books using www Cover
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Call number:9783319508535:ONLINE Show nearby items on shelf
Title:Algebra II Textbook for Students of Mathematics
Author(s): Alexey L Gorodentsev
Date:2017
Size:1 online resource (XV, 370 p. 155 illus., 2 illus. in color p.)
Contents:§1Tensor Products -- §2 Tensor Algebras -- §3 Symmetric Functions -- §4 Calculus of Arrays, Tableaux, and Diagrams -- §5 Basic Notions of Representation Theory -- §6 Representations of Finite Groups in Greater Detail -- §7
Representations of Symmetric Groups -- §8 sl_2-Modules -- §9 Categories and Functors -- §10 Extensions of Commutative Rings -- §11 Affine Algebraic Geometry -- §12 Algebraic Manifolds -- §13 Algebraic Field Extensions -- §14 Examples
of Galois Groups -- References -- Hints to Some Exercises -- Index
ISBN:9783319508535
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:9783319497631:ONLINE Show nearby items on shelf
Title:Geometry Over Nonclosed Fields
Author(s):
Date:2017
Size:1 online resource (IX, 261 p. 3 illus., 1 illus. in color p.)
Contents:Preface -- On the Kobayashi pseudometric, complex automorphisms and hyperahler manifolds by Fedor Bogomolov, Ljudmila Kamenova, Steven Lu, and Misha Verbitsky -- Lines on cubic hypersurfaces over finite fields by Olivier Debarre,
Antonio Laface, and Xavier Roulleau -- Perverse sheaves of categories and non-rationality by Andrew Harder, Ludmil Katzarkov, and Yijia Liu -- Divisor classes and the virtual canonical bundle for genus zero maps by A. J. de Jong and
Jason Starr -- A stronger derived Torelli theorem for K3 surfaces by Max Lieblich and Martin Olsson -- Morphisms to Brauer-Severi varieties, with applications to del Pezzo surfaces by Christian Liedtke -- Arithmetic of K3 surfaces by
Anthony Varilly-Alvarado -- One-dimensional cohomology with finite coefficients and roots of unity by Yuri G. Zarhin
ISBN:9783319497631
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algebraic geometry , Mathematics , Algebraic Geometry
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Call number:9783319460031:ONLINE Show nearby items on shelf
Title:Lectures on Matrix Field Theory
Author(s): Badis Ydri
Date:2017
Size:1 online resource (XII, 352 p. 8 illus., 6 illus. in color p.)
Contents:Preface -- Introductory Remarks -- The Non-Commutative Moyal-Weyl Spaces Rd -- The Fuzzy Sphere -- Quantum Non-Commutative Phi-Four -- The Multitrace Approach -- Non-Commutative Gauge Theory -- Appendix A - The Landau States --
Appendix B - The Traces TrtAtB and TrtAtBtCtD -- Index
ISBN:9783319460031
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Computer science , Algebraic geometry , Mathematical physics , Quantum field theory , String theory , Quantum physics , Physics , Quantum Field Theories, String Theory , Mathematical Physics , Math Applications in Computer Science , Algebraic Geometry , Quantum Physics
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Call number:9783319393391:ONLINE Show nearby items on shelf
Title:Singularities in Geometry, Topology, Foliations and Dynamics A Celebration of the 60th Birthday of José Seade, Merida, Mexico, December 2014
Author(s):
Date:2017
Size:1 online resource (XVII, 231 p. 15 illus., 10 illus. in color p.)
Contents:Extending the action of Schottky groups on the complex anti-de Sitter space to the projective space -- Puiseux Parametric Equations via the Amoeba of the Discriminant -- Some open questions on arithmetic Zariski pairs -- Logarithmic
vector fields and the Severi strata in the discriminant -- Classification of Isolated Polar Weighted Homogeneous Singularities -- Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula -- On singular
varieties with smooth subvarieties -- On Polars of Plane Branches -- Singular Intersections of Quadrics I -- A New Conjecture, a New Invariant, and a New Non-splitting Result -- Lipschitz geometry does not determine embedded
topological type -- Projective transverse structures for some foliations -- Chern classes and transversality for singular spaces
ISBN:9783319393391
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algebraic geometry , Global analysis (Mathematics) , Manifolds (Mathematics) , Functions of complex variables , Mathematics , Several Complex Variables and Analytic Spaces , Algebraic Geometry , Global Analysis and Analysis on Manifolds
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Call number:9781470416379::ONLINE Show nearby items on shelf
Title:Glimpses of soliton theory: The algebra and geometry of nonlinear PDEs
Author(s): Alex Kasman
Date:2010
Publisher:Providence, R.I.: American Mathematical Society
Size:1 online resource (304 pages)
Note:Limited User Access (3 Copies Available)
Contents:Differential equations, Developing PDE intuition, The story of solitons, Elliptic curves and KdV traveling waves, KdV -solitons, Multiplying and factoring differential operators Eigenfunctions and isospectrality, Lax form for KdV and other soliton equations, The KP equation and bilinear KP equation, The Grassmann cone Γ_{2,4} and the bilinear KP equation Pseudo-differential operators and the KP hierarchy, The Grassman cone and the bilinear KP hierarchy, Concluding remarks, Mathematica guide, Complex numbers, Ideas for independent projects
ISBN:9781470416379
Series:Student mathematical library, v. 54.
Series:eBooks
Series:EBSCOhost
Keywords: Korteweg-de Vries equation. , Geometry, Algebraic. , Differential equations, Partial.
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Call number:0471050598:ONLINE Show nearby items on shelf
Title:Principles of Algebraic Geometry
Author(s): Griffiths
Date:1994
Publisher:Wiley-Interscience
Size:1 online resource (833 p.)
ISBN:9780471050599
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:SPRINGER-2016-9789811005190:ONLINE Show nearby items on shelf
Title:Recent Advances in Mathematical Sciences Selected Papers from ICREM7 2015
Author(s):
Date:2016
Size:1 online resource (109 p.)
Note:10.1007/978-981-10-0519-0
Contents:Chapter 1: Counting Trees and Rooted Trees with Applications -- Chapter 2: Boundedness and Stability of Leslie-Gower Model with Sokol-Howell Functional Response -- Chapter 3: Fifth order Four Stage Explicit Trigonometrically-fitted Runge–Kutta– Nystrӧm Methods -- Chapter 4: Modified Homotopy Perturbation Method For Fredholm-Volterra Integro-Differential Equation -- Chapter 5: Simultaneous Effects of Soret and Dufour on the Unsteady Stagnation Point Flow of Micropolar Fluid towards a Permeable S tretching Sheet -- Chapter 6: One-Step Implicit Hybrid Method for Solving Semi-Explicit Index-1 Differential Algebraic Equations -- Chapter 7: An Artificial Intelligence Strategy for the Prediction of Wind Speed and Direction in Sarawak for Wind Energy Ma pping -- Chapter 8: Stability Analysis of Dengue Disease Using Host – Vector Model -- Chapter 9: Simple Motion Evasion Differential Game of One Pursuer and One Evader.
ISBN:9789811005190
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Mathematical analysis , Analysis (Mathematics) , Game theory , Geometry , Operations research , Management science , Mathematical physics , Mathematics , Analysis , Mathematical Physics , Algebra , Geometry , Operations Research, Management Science , Game Theory, Economics, Social and Behav. Sciences
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Call number:SPRINGER-2016-9783764387976: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-2016-9783658106331:ONLINE Show nearby items on shelf
Title:Manifolds, Sheaves, and Cohomology
Author(s): Torsten Wedhorn
Date:2016
Size:1 online resource (354 p.)
Note:10.1007/978-3-658-10633-1
Contents:Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohom ology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis
ISBN:9783658106331
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , Topological groups , Lie groups , Global analysis (Mathematics) , Manifolds (Mathematics) , Differential geometry , Mathematics , Category Theory, Homological Algebra , Topological Groups, Lie Groups , Differential Geometry , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319388557:ONLINE Show nearby items on shelf
Title:Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives
Author(s):
Date:2016
Size:1 online resource (407 p.)
Note:10.1007/978-3-319-38855-7
Contents:Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi) -- About number fields with Pólya group of order ≤ 2 (D. Adam, J.-L. Chabert) -- The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmet ic Combinatorics (K. Cziczler, M. Domokos, A. Geroldinger) -- Ring and semigroup constructions (M. D'Anna) -- New Distinguished Classes of Spectral Spaces (C.A. Finocchiaro, M. Fontana, D. Spirito) -- Relative polynomial closure and monadically Krull mono ids of integer-valued polynomials (S. Frisch).-An overview of the computational aspects of nonunique factorization invariants (P.A. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath) -- Prüfer Domains of Integer-Valu ed Polynomials (K.A. Loper, M. Syvuk) -- Lobal Properties of Integral Domains (T.G. Lucas) -- Topological aspects of irredundant intersections of ideals and valuation rings (B. Olberding) -- Noetherian semigroup algebras and beyond (J. Okniński)
-- Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo) -- Some recent results and open problems on sets of lengths of Krull monoids with finite class group (W.A. Schmid) -- Factorizations of elements in noncommutative rings: A survey (D. Smertnig)
ISBN:9783319388557
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 170
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Number theory , Mathematics , Commutative Rings and Algebras , Number Theory , Group Theory and Generalizations , Associative Rings and Algebras , Algebraic Geometry
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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-2016-9783319333380:ONLINE Show nearby items on shelf
Title:Optimization of Polynomials in Non-Commuting Variables
Author(s): Sabine Burgdorf
Date:2016
Size:1 online resource (104 p.)
Note:10.1007/978-3-319-33338-0
ISBN:9783319333380
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , System theory , Computer software , Quantum computers , Operations research , Management science , Mathematics , Algebraic Geometry , Quantum Computing , Operations Research, Management Science , Mathematical Software , Systems Theory, Control
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Call number:SPRINGER-2016-9783319323152:ONLINE Show nearby items on shelf
Title:Hyperbolicity of Projective Hypersurfaces
Author(s): Simone Diverio
Date:2016
Size:1 online resource (89 p.)
Note:10.1007/978-3-319-32315-2
Contents:- Introduction -- Kobayashi hyperbolicity: basic theory -- Algebraic hyperbolicity -- Jets spaces -- Hyperbolicity and negativity of the curvature -- Hyperbolicity of generic surfaces in projective 3-space -- Algebraic degeneracy for projective hyp ersurfaces
ISBN:9783319323152
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:IMPA Monographs : 5
Keywords: Mathematics , Algebraic geometry , Functions of complex variables , Differential geometry , Mathematics , Differential Geometry , Algebraic Geometry , Several Complex Variables and Analytic Spaces
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Call number:SPRINGER-2016-9783319321622:ONLINE Show nearby items on shelf
Title:Open Problems in Mathematics
Author(s):
Date:2016
Size:1 online resource (17 p.)
Note:10.1007/978-3-319-32162-2
Contents:Preface (J.F. Nash, Jr., M.Th. Rassias) -- Introduction (M. Gromov) -- 1. P Versus NP (S. Aaronson) -- 2. From Quantum Systems to L-Functions: Pair Correlation Statistics and Beyond (O. Barrett, F.W.K. Firk, S.J. Miller, C. Turnage-Butterbaugh) -- 3 . The Generalized Fermat Equation (M. Bennett, P. Mihăilescu, S. Siksek) -- 4. The Conjecture of Birch and Swinnerton-Dyer (J. Coates) -- 5. An Essay on the Riemann Hypothesis (A. Connes) -- 6. Navier Stokes Equations (P. Constantin) -- 7. Plateau's Prob lem (J. Harrison, H. Pugh) -- 8. The Unknotting Problem (L.H. Kauffman) -- 9. How Can Cooperative Game Theory Be Made More Relevant to Econimics? (E. Maskin) -- 10. The Erdős-Szekeres Problem (W. Morris, V. Soltan) -- 11. Novikov's Conjecture (J. Rosenbe rg) -- The Discrete Logarithm Problem (R. Schoof) -- 13. Hadwiger's Conjecture (P. Seymour) -- 14. The Hadwiger-Nelson Problem (A. Soifer) -- 15. Erdős's Unit Distance Problem (E. Szemerédi) -- 16. Goldbach's Conjectures (R.C. Vaughan) -- 17.
The Hodge Conjecture (C. Voisin).
ISBN:9783319321622
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Partial differential equations , Game theory , Differential geometry , Number theory , Operations research , Management science , Mathematics , Number Theory , Algebraic Geometry , Differential Geometry , Partial Differential Equations , Game Theory, Economics, Social and Behav. Sciences , Operations Research, Management Science
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Call number:SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications In Honor of Vladimir Arnold
Author(s):
Date:2016
Size:1 online resource (22 p.)
Note:10.1007/978-3-319-31338-2
Contents:A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar)
ISBN:9783319313382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319309514:ONLINE Show nearby items on shelf
Title:Rigid Cohomology over Laurent Series Fields
Author(s): Christopher Lazda
Date:2016
Size:1 online resource (267 p.)
Note:10.1007/978-3-319-30951-4
Contents:Introduction -- First definitions and basic properties -- Finiteness with coefficients via a local monodromy theorem -- The overconvergent site, descent, and cohomology with compact support -- Absolute coefficients and arithmetic applications -- Ri gid cohomology -- Adic spaces and rigid spaces -- Cohomological descent -- Index
ISBN:9783319309514
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Algebra and Applications: 21
Keywords: Mathematics , Algebraic geometry , Number theory , Mathematics , Algebraic Geometry , Number Theory
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Call number:SPRINGER-2016-9783319299594:ONLINE Show nearby items on shelf
Title:K3 Surfaces and Their Moduli
Author(s):
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-3-319-29959-4
Contents:Introduction -- Samuel Boissière, Andrea Cattaneo, Marc Nieper-Wisskirchen, and Alessandra Sarti: The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface -- Igor Dolgachev: Orbital counting of curves on algebra ic surfaces and sphere packings -- V. Gritsenko and K. Hulek: Moduli of polarized Enriques surfaces -- Brendan Hassett and Yuri Tschinkel: Extremal rays and automorphisms of holomorphic symplectic varieties -- Gert Heckman and Sander Rieken: An odd presen tation for W(E_6) -- S. Katz, A. Klemm, and R. Pandharipande, with an appendix by R. P. Thomas: On the motivic stable pairs invariants of K3 surfaces -- Shigeyuki Kondö: The Igusa quartic and Borcherds products -- Christian Liedtke: Lectures on supersing ular K3 surfaces and the crystalline Torelli theorem -- Daisuke Matsushita: On deformations of Lagrangian fibrations -- G. Oberdieck and R. Pandharipande: Curve counting on K3 x E, the Igusa cusp form X_10, and descendent integration -- Keiji
Oguiso: Simple abelian varieties and primitive automorphisms of null entropy of surfaces -- Ichiro Shimada: The automorphism groups of certain singular K3 surfaces and an Enriques surface -- Alessandro Verra: Geometry of genus 8 Nikulin surfaces and rationality of their moduli -- Claire Voisin: Remarks and questions on coisotropic subvarieties and 0-cycles of hyper-Kähler varieties
ISBN:9783319299594
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematics: 315
Keywords: Mathematics , Algebraic geometry , Mathematics , Algebraic Geometry
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Call number:SPRINGER-2016-9783319267654:ONLINE Show nearby items on shelf
Title:On the Geometry of Some Special Projective Varieties
Author(s): Francesco Russo
Date:2016
Edition:1st ed. 2016
Size:1 online resource (232 p.)
Note:10.1007/978-3-319-26765-4
Contents:Preface.-Introduction -- 1.Tangent cones, tangent spaces, tangent stars secant, tangent and tangent star varieties to an algebraic variety -- 2.Basics of Deformation Theory of Rational Curves on Projective Varieties -- 3.Fulton-Hansen Connectedness Theorem, Scorza Lemma and their applications to projective geometry -- 4.Local quadratic entry locus manifolds and conic connected manifolds -- 5.Hartshorne Conjectures and Severi varieties -- 6.Varieties n-covered by curves of a fixed degree and the XJC -- 7. Hypersurfaces with vanishing hessian.-Bibliography
ISBN:9783319267654
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes of the Unione Matematica Italiana: 18
Keywords: Mathematics , Algebraic geometry , Commutative algebra , Commutative rings , Geometry , Mathematics , Algebraic Geometry , Commutative Rings and Algebras , Geometry
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Call number:SPRINGER-2016-9783319266381:ONLINE Show nearby items on shelf
Title:Néron Models and Base Change
Author(s): Lars Halvard Halle
Date:2016
Edition:1st ed. 2016
Size:1 online resource (151 p.)
Note:10.1007/978-3-319-26638-1
ISBN:9783319266381
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2156
Keywords: Mathematics , Algebraic geometry , Number theory , Mathematics , Algebraic Geometry , Number Theory
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Call number:SPRINGER-2016-9783319264370:ONLINE Show nearby items on shelf
Title:Minimal Free Resolutions over Complete Intersections
Author(s): David Eisenbud
Date:2016
Edition:1st ed. 2016
Size:1 online resource (107 p.)
Note:10.1007/978-3-319-26437-0
ISBN:9783319264370
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2152
Keywords: Mathematics , Algebraic geometry , Category theory (Mathematics) , Homological algebra , Commutative algebra , Commutative rings , Physics , Mathematics , Commutative Rings and Algebras , Algebraic Geometry , Category Theory, Homological Algebra , Theoretical, Mathematical and Computational Physics
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Call number:SPRINGER-2016-9783319247113:ONLINE Show nearby items on shelf
Title:Dessins d'Enfants on Riemann Surfaces
Author(s): Gareth A Jones
Date:2016
Edition:1st ed. 2016
Size:1 online resource (259 p.)
Note:10.1007/978-3-319-24711-3
Contents:Historical and introductory background -- Graph embeddings -- Dessins and triangle groups -- Galois actions -- Quasiplatonic surfaces, and automorphisms -- Regular maps -- Regular embeddings of complete graphs -- Wilson operations -- Further exampl es -- Arithmetic aspects -- Beauville surfaces
ISBN:9783319247113
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Group theory , Functions of complex variables , Hyperbolic geometry , Mathematics , Algebraic Geometry , Group Theory and Generalizations , Functions of a Complex Variable , Several Complex Variables and Analytic Spaces , Hyperbolic Geometry
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Call number:SPRINGER-2016-9783319244600:ONLINE Show nearby items on shelf
Title:Foliation Theory in Algebraic Geometry
Author(s):
Date:2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-24460-0
Contents:On Fano Foliations 2 -- Rational Curves on Foliated Varieties -- Local Structure of Closed Symmetric 2-Differentials -- Aspects of the Geometry of Varieties with Canonical Singularities -- Geometric Structures and Substructures on Uniruled Projecti ve Manifolds -- Foliations, Shimura Varieties and the Green-Griffiths-Lang Conjecture -- On the Structure of Codimension I Foliations with Pseudoeffective Conormal Bundle
ISBN:9783319244600
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Mathematics , Algebraic 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-2016-9783319242958:ONLINE Show nearby items on shelf
Title:Geometric Procedures for Civil Engineers
Author(s): Elias C Tonias
Date:2016
Size:1 online resource (281 p.)
Note:10.1007/978-3-319-24295-8
Contents:Historic Synopsis -- Basic Geometric Features -- Support Procedures -- Point and Line Features -- Curve Features -- Intersections -- Tangencies -- Compound and Reversed Curves -- Spiral Transition Curves -- Special Constructions -- Vertical Parabol ic Curves -- Elliptic Features -- Appendix A Resection Problems -- Appendix B Line and Curve Fitting -- Appendix C Tangent Circle to Three Circles -- Acknowledgments -- Bibliography -- Index.
ISBN:9783319242958
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Applied mathematics , Engineering mathematics , Buildings , Building , Construction , Engineering, Architectural , Mathematics , Algebraic Geometry , Building Construction , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783034809214:ONLINE Show nearby items on shelf
Title:Compactifying Moduli Spaces
Author(s): Paul Hacking
Date:2016
Edition:1st ed. 2016
Size:1 online resource (135 p.)
Note:10.1007/978-3-0348-0921-4
Contents:Foreword -- 1: Perspectives on moduli spaces -- The GIT Approach to constructing moduli spaces -- Moduli and periods -- The KSBA approach to moduli spaces -- Bibliography -- 2: Compact moduli of surfaces and vector bundles -- Moduli spaces of surfa ces of general type -- Wahl singularities -- Examples of degenerations of Wahl type -- Exceptional vector bundles associated to Wahl degenerations -- Examples -- Bibliography -- 3: Notes on the moduli space of stable quotients -- Morphism spaces and Quot schemes over a fixed curve -- Stable quotients -- Stable quotient invariants -- Wall-crossing and other geometries -- Bibliography
ISBN:9783034809214
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Mathematics , Algebraic Geometry
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Call number:SPRINGER-2016-9781447167907:ONLINE Show nearby items on shelf
Title:General Galois Geometries
Author(s): J.W.P Hirschfeld
Date:2016
Edition:1st ed. 2016
Size:1 online resource (409 p.)
Note:10.1007/978-1-4471-6790-7
Contents:Preface -- Terminology -- Quadrics -- Hermitian varieties -- Grassmann varieties -- Veronese and Serge varieties -- Embedded geometries -- Arcs and Caps -- Ovoids, spreads and m-systems of finite polar spaces -- References -- Index
ISBN:9781447167907
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Projective geometry , Combinatorics , Mathematics , Projective Geometry , Combinatorics , Algebraic Geometry
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Call number:SPRINGER-2016-9780387878119:ONLINE Show nearby items on shelf
Title:Generalized Principal Component Analysis
Author(s): René Vidal
Date:2016
Size:1 online resource (83 p.)
Note:10.1007/978-0-387-87811-9
Contents:Preface -- Acknowledgments -- Glossary of Notation.- Introduction.- I Modeling Data with Single Subspace -- Principal Component Analysis -- Robust Principal Component Analysis -- Nonlinear and Nonparametric Extensions -- II Modeling Data with Multi ple Subspaces -- Algebraic-Geometric Methods -- Statistical Methods -- Spectral Methods -- Sparse and Low-Rank Methods -- III Applications -- Image Representation -- Image Segmentation -- Motion Segmentation -- Hybrid System Identification -- Final Words -- Appendices -- References -- Index
ISBN:9780387878119
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Interdisciplinary Applied Mathematics: 40
Keywords: Mathematics , Image processing , Algebraic geometry , System theory , Statistics , Mathematics , Systems Theory, Control , Image Processing and Computer Vision , Signal, Image and Speech Processing , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Algebraic Geometry
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Call number:SPRINGER-2014-9788876425011:ONLINE Show nearby items on shelf
Title:Introductory Notes on Valuation Rings and Function Fields in One Variable [electronic resource]
Author(s): Renata Scognamillo
Umberto Zannier
Date:2014
Publisher:Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale
Size:1 online resource
Note:The book deals with the (elementary and introductory) theory of valuation rings. As explained in the introduction, this represents a useful and important viewpoint in algebraic geometry, especially concerning the theory ofalgebraic curves and their f unction fields. The correspondences of this with other viewpoints (e.g. of geometrical or topological nature) are often indicated, also to provide motivations and intuition for many results. Links witharithmetic are also often indicated. There are three a ppendices, concerning Hilberts Nullstellensatz (for which several proofs are provided), Puiseux series and Dedekind domains. There are also several exercises, often accompaniedby hints, which sometimes develop further results not included in full for brev ity reasons
Contents:Generalities on function fields of one variable
Valuation rings
Completions
Appendices on Hilbert's Nullstellensatz, Puiseux series, Dedekind domains
ISBN:9788876425011
Series:eBooks
Series:SpringerLink
Series:Publications of the Scuola Normale Superiore : v14
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry , Number theory
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Call number:SPRINGER-2014-9788132218142:ONLINE Show nearby items on shelf
Title:Groups of Exceptional Type, Coxeter Groups and Related Geometries [electronic resource]
Author(s): N.S. Narasimha Sastry
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings. All contributing authors are very active researchers in the topics related to the themeof the book. Some of th e articles provide the latest developments in the subject some provide an overview of the current status of some important problems in this area some survey an area highlighting the current developments andsome provide an exposition of an area to collect problems and conjectures. It is hoped that these articles would be helpful to a beginner to start independent research on any of these topics, as well as to an expert to know some of thelatest developments or to consider some problems for investigation
Contents:Chapter 1. A classification of Curtis
Tits amalgams
Chapter 2. The use of valuations for classifying point
line geometries
Chapter 3. An outline of polar spaces: basics and advances
Chapter 4. Embeddings of Line
grassmannians of Polar Spaces in Grassmann Varieties
Chapter 5. Generation of Lie Incidence Geometries: A Survey
Chapter 6. Witt
Type Theorems for Subspaces of Lie Geometries: A Survey
Chapter 7. Embeddings of cotriangular spaces
Chapter 8. Unipotent Overgroups in Simple Algebraic Groups
Chapter 9. The axes of a Majorana representation of A12
Chapter 10. GIT
ISBN:9788132218142
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v82
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Group theory , Geometry
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Call number:SPRINGER-2014-9788132215998:ONLINE Show nearby items on shelf
Title:Basic Modern Algebra with Applications [electronic resource]
Author(s): Mahima Ranjan Adhikari
Avishek Adhikari
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:The book is primarily intended as a textbook on modern algebra for undergraduate mathematics students. It is also useful for those who are interested in supplementary reading at a higher level. The text is designed in such a waythat it encourages ind ependent thinking and motivates students towards further study. The book covers all major topics in group, ring, vector space and module theory that are usually contained in a standard modern algebra text. Inaddition, it studies semigroup, group action, Hopf's group, topological groups and Lie groups with their actions, applications of ring theory to algebraic geometry, and defines Zariski topology, as well as applications of module theoryto structure theory of rings and homological algebra. Algebraic as pects of classical number theory and algebraic number theory are also discussed with an eye to developing modern cryptography. Topics on applications to algebraictopology, category theory, algebraic geometry, algebraic number theory, cryptography and theo retical computer science interlink the subject with different areas. Each chapter discusses individual topics, starting from the basics, withthe help of illustrative examples. This comprehensive text with a broad variety of concepts, applications, example s, exercises and historical notes represents a valuable and unique resource
Contents:Prerequisites: Basics of Set Theory and Integers
Groups: Introductory Concepts
Actions of Groups, Topological Groups and semigroups
Rings: Introductory Concepts
Ideals of Rings: Introductory concepts
Factorization in Integral Domains and in Polynomial Rings
Rings with Chain Conditions
Vector Spaces
Modules
Algebraic Aspects of Number Theory
Algebraic Numbers
Introduction to Mathematical Cryptography
Appendix A: Some Aspects of Semirings
Appendix B: Category Theory
Appendix C: A Brief Historical Note
ISBN:9788132215998
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Group theory , Number theory
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Call number:SPRINGER-2014-9784431545712:ONLINE Show nearby items on shelf
Title:Nevanlinna Theory in Several Complex Variables and Diophantine Approximation [electronic resource]
Author(s): Junjiro Noguchi
Jrg Winkelmann
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:The aim of this book is to provide a comprehensive account of higher dimensional Nevanlinna theory and its relations with Diophantine approximation theory for graduate students and interested researchers. This book with ninechapters systematically de scribes Nevanlinna theory of meromorphic maps between algebraic varieties or complex spaces, building up from the classical theory of meromorphic functions on the complex plane with full proofs in Chap. 1 tothe current state of research. Chapter 2 present s the First Main Theorem for coherent ideal sheaves in a very general form. With the preparation of plurisubharmonic functions, how the theory to be generalized in a higher dimension isdescribed. In Chap. 3 the Second Main Theorem for differentiably non-d egenerate meromorphic maps by Griffiths and others is proved as a prototype of higher dimensional Nevanlinna theory. Establishing such a Second Main Theorem forentire curves in general complex algebraic varieties is a wide-open problem. In Chap. 4, the Ca rtan-Nochka Second Main Theorem in the linear projective case and the Logarithmic Bloch-Ochiai Theorem in the case of general algebraicvarieties are proved. Then the theory of entire curves in semi-abelian varieties, including the Second Main Theorem of N oguchi-Winkelmann-Yamanoi, is dealt with in full details in Chap. 6. For that purpose Chap. 5 is devoted to thenotion of semi-abelian varieties. The result leads to a number of applications. With these results, the Kobayashi hyperbolicity problems are dis cussed in Chap. 7. In the last two chapters Diophantine approximation theory is dealt withfrom the viewpoint of higher dimensional Nevanlinna theory, and the Lang-Vojta conjecture is confirmed in some cases. In Chap. 8 the theory over function fields is d iscussed. Finally, in Chap. 9, the theorems of Roth, Schmidt,Faltings, and Vojta over number fields are presented and formulated in view of Nevanlinna theory with results motivated by those in Chaps. 4,
Contents:Nevanlinna Theory of Meromorphic Functions
First Main Theorem
Differentiably Non
Degenerate Meromorphic Maps
Entire Curves into Algebraic Varieties
Semi
Abelian Varieties
Entire Curves into Semi
Abelian Varieties
Kobayashi Hyperbolicity
Nevanlinna Theory over Function Fields
Diophantine Approximation
Bibliography
Index
Symbols
ISBN:9784431545712
Series:eBooks
Series:SpringerLink
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 0072-7830 : v350
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Functions of complex variables , Differential equations, partial , Number theory
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Call number:SPRINGER-2014-9783642553615:ONLINE Show nearby items on shelf
Title:Algebra, Geometry and Mathematical Physics [electronic resource] : AGMP, Mulhouse, France, October 2011
Author(s): Abdenacer Makhlouf
Eugen Paal
Sergei D Silvestrov
Alexander Stolin
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book collects the proceedings of the Algebra, Geometry and Mathematical Physics Conference, held at the University of Haute Alsace, France, October 2011. Organized in the four areas of algebra, geometry, dynamical symmetriesand conservation laws and mathematical physics and applications, the book covers deformation theory and quantization Hom-algebras and n-ary algebraic structures Hopf algebra, integrable systems and related math structures jet theoryand Weil bundles Lie theory and applications non-commutative and Lie algebra and more. The papers explore the interplay between research in contemporary mathematics and physics concerned with generalizations of the main structures ofLie theory aimed at quantization, and discrete and non-commutative extensions of differential calculus and geometry, non-associative structures, actions of groups and semi-groups, non-commutative dynamics, non-commutative geometry andapplications in physics and beyond. The book benefits a broad audience of researchers a nd advanced students
Contents:Part I Algebra
Part II Geometry
Part III Dynamical Symmetries and Conservation Laws
Part IV Mathematical Physics and Applications
ISBN:9783642553615
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v85
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Topological Groups , Global differential geometry , Engineering mathematics
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Call number:SPRINGER-2014-9783642310317:ONLINE Show nearby items on shelf
Title:Vladimir I. Arnold - Collected Works [electronic resource] : Hydrodynamics, Bifurcation Theory, and Algebraic Geometry 1965-1972
Author(s): Vladimir I Arnold
Alexander B Givental
Boris A Khesin
Alexander N Varchenko
Victor A Vassiliev
Oleg Ya Viro
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Vladimir Arnold was one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work. At the same time he is one of the most prolific and outstanding mathematical authors. Thissecond volume of his Coll ected Works focuses on hydrodynamics, bifurcation theory, and algebraic geometry
Contents:1 Variational principle for three
dimensional steady
state flows of an ideal fluid
2 On the Riemann curvature of diffeomorphism groups
3 Sur la topologie des coulements stationnaires des fluides parfaits (in French)
4 Conditions for non
linear stability of stationary plane curvilinear flows of an ideal fluid
5 On the topology of three
dimensional steady flows of an ideal fluid
6 On an a priori estimate in the theory of hydrodynamical stability
7 On the differential geometry of infinite
dimensional Lie groups and its application to the hydrodynamics of perfect fluids
8 On
ISBN:9783642310317
Series:eBooks
Series:SpringerLink
Series:Vladimir I. Arnold - Collected Works : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Mathematical physics
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Call number:SPRINGER-2014-9783319096803:ONLINE Show nearby items on shelf
Title:Topology [electronic resource] : An Introduction
Author(s): Stefan Waldmann
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book provides a concise introduction to topology and is necessary for courses in differential geometry, functional analysis, algebraic topology, etc. Topology is a fundamental tool in most branches of pure mathematics and isalso omnipresent in m ore applied parts of mathematics. Therefore students will need fundamental topological notions already at an early stage in their bachelor programs. While there are already many excellent monographs on generaltopology, most of them are too large for a fir st bachelor course. Topology fills this gap and can be either used for self-study or as the basis of a topology course
Contents:Introduction
Topological Spaces and Continuity
Construction of Topological Spaces
Convergence in Topological Spaces
Compactness
Continuous Functions
Baires Theorem
ISBN:9783319096803
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Topology
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Call number:SPRINGER-2014-9783319070346:ONLINE Show nearby items on shelf
Title:Differential Characters [electronic resource]
Author(s): Christian Br
Christian Becker
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the productstructure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.
Contents:Differential Characters and Geometric Chains
Relative differential Cohomology
Index
ISBN:9783319070346
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2112
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global differential geometry , Algebraic topology
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Call number:SPRINGER-2014-9783319064772:ONLINE Show nearby items on shelf
Title:Finiteness Properties of Arithmetic Groups Acting on Twin Buildings [electronic resource]
Author(s): Stefan Witzel
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains onlytwo places. While th e proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S has only two places, one can instead make use of the theory oftwin buildings
Contents:Basic Definitions and Properties
Finiteness Properties of G(Fq[t])
Finiteness Properties of G(Fq[t t
1])
Affine Kac
Moody Groups
Adding Places
ISBN:9783319064772
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2109
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Geometry , Algebraic topology , Cell aggregation Mathematics
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Call number:SPRINGER-2014-9783319056814:ONLINE Show nearby items on shelf
Title:Automorphisms in Birational and Affine Geometry [electronic resource] : Levico Terme, Italy, October 2012
Author(s): Ivan Cheltsov
Ciro Ciliberto
Hubert Flenner
James McKernan
Yuri G Prokhorov
Mikhail Zaidenberg
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The main focus of this volume is on the problem of describing the automorphism groups of affine and projective varieties, a classical subject in algebraic geometry where, in both cases, the automorphism group is often infinitedimensional. The collect ion covers a wide range of topics and is intended for researchers in the fields of classical algebraic geometry and birational geometry (Cremona groups) as well as affine geometry with an emphasis on algebraicgroup actions and automorphism groups. It pres ents original research and surveys and provides a valuable overview of the current state of the art in these topics. Bringing together specialists from projective, birational algebraicgeometry and affine and complex algebraic geometry, including Mori theo ry and algebraic group actions, this book is the result of ensuing talks and discussions from the conference Groups of Automorphisms in Birational and AffineGeometry held in October 2012, at the CIRM, Levico Terme, Italy. The talks at the conference highl ighted the close connections between the above-mentioned areas and promoted the exchange of knowledge and methods from adjacentfields
Contents:Preface
Part I Birational automorphisms
H. Ahmadinezhad: Singular del Pezzo fibrations and birational rigidity
I. Arzhantsev, A. Popovskiy: Additive actions on projective hypersurfaces
J. Blanc, F. Mangolte: Cremona groups of real surfaces
M. Brion: On automorphisms and endomorphisms of projective varieties
I. Cheltsov: Del Pezzo surfaces and local inequalities
T. de Fernex: Fano hypersurfaces and their birational geometry
T. Eckl, A. Pukhlikov: On the locus of non
rigid hypersurfaces
S. Lamy: On the genus of birational maps between 3
folds
A. Massarenti, M. Mel
ISBN:9783319056814
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v79
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic
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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-2014-9783319052540:ONLINE Show nearby items on shelf
Title:Trends in Contemporary Mathematics [electronic resource]
Author(s): Vincenzo Ancona
Elisabetta Strickland
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book covers a wide spectrum of hot topics and current trends in mathematics, including noncommutative algebra via deformation theory, optimal transportation, nonlinear potential theory,kinetic theory and gas dynamics,geometric numerical integrat ion, finite simple groups of small essential dimension, optimal control problems, extended Dynkin diagrams, spin glasses, aspherical closed manifolds, Boltzmann systems, birational geometry of projectivevarieties and directed graphs, nonlinear diffusion, geometric constructions of extremal metrics on complex manifolds, and Pells equation in polynomials. The book comprises a selection of contributions by leading internationalmathematicians who were speakers at the INdAM Day, an initiative dating back to 20 04 at which the most recent developments in contemporary mathematics are presented
Contents:1 F. Guerra: Interpolation and comparison methods in the mean field spin glass model
2 A. De Sole, V.G. Kac, D. Valeri: Integrability of dirac reduced Bi
Hamiltonian equations
3 W. Luck: Some open problems about aspherical closed manifolds abstract
4 P. Etingof: Exploring noncommutative algebras via deformation theory
5 G. Lancia: Mathematical models and solutions for the analysis of human genotypes
6 M. Manetti: Kodaira
Spencer formality of products of complex manifolds
7 O. Debarre, B. Lass: Monomial transformations of the projective space
8 J.L. Vazquez: Progress in the
ISBN:9783319052540
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Differential equations, partial , Computer science Mathematics
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Call number:SPRINGER-2014-9783319048703:ONLINE Show nearby items on shelf
Title:Combinatorial Algebraic Geometry [electronic resource] : Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels
Author(s): Aldo Conca
Sandra Di Rocco
Jan Draisma
June Huh
Bernd Sturmfels
Filippo Viviani
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions, and enumerative geometry. The aim of this volume is tointroduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varietiesendowed with a rich combinatorial structure. Rele vant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications
Contents:Koszul algebras, Koszul homology and syzygies
Infinite
dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry
Linear Toric fibrations and Cayley polytopes
Toroidal compactifications and tropicalizations of moduli spaces
ISBN:9783319048703
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2108
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Algebra , Combinatorics
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Call number:SPRINGER-2014-9783319045641:ONLINE Show nearby items on shelf
Title:Towards the Mathematics of Quantum Field Theory [electronic resource]
Author(s): Frdric Paugam
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of themathematical objects in play. This should in turn promote interaction between mathematicians and physicists by supplying a common and flexible language for the good of both communities, even if the mathematical one is the primarytarget. This reference work provides a coheren t and complete mathematical toolbox for classical and quantum field theory, based on categorical and homotopical methods, representing an original contribution to the literature. The firstpart of the book introduces the mathematical methods needed to work with the physicists' spaces of fields, including parameterized and functional differential geometry, functorial analysis, and the homotopical geometric theory ofnon-linear partial differential equations, with applications to general gauge theories. The s econd part presents a large family of examples of classical field theories, both from experimental and theoretical physics, while the thirdpart provides an introduction to quantum field theory, presents various renormalization methods, and discusses the q uantization of factorization algebras. The book is primarily intended for pure mathematicians (and in particulargraduate students) who would like to learn about the mathematics of quantum field theory
Contents:Introduction
Mathematical Preliminaries
Classical Trajectories and Fields
Quantum Trajectories and Fields
Appendices
ISBN:9783319045641
Series:eBooks
Series:SpringerLink
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 0071-1136 : v59
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Algebraic topology
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Call number:SPRINGER-2014-9783319044170:ONLINE Show nearby items on shelf
Title:Lectures on Formal and Rigid Geometry [electronic resource]
Author(s): Siegfried Bosch
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:A first version of this work appeared in 2005 as a Preprint of the Collaborative Research Center Geometrical Structures in Mathematics at the University of Mnster. Its aim was to offer a concise and self-contained'lecture-style' introduction to the t heory of classical rigid geometry established by John Tate, together with the formal algebraic geometry approach launched by Michel Raynaud. These Lectures are now viewed commonly as an ideal meansof learning advanced rigid geometry, regardless of the rea der's level of background. Despite its parsimonious style, the presentation illustrates a number of key facts even more extensively than any other previous work. This LectureNotes Volume is a revised and slightly expanded version of the original preprint and has been published at the suggestion of several experts in the field
Contents:Classical Rigid Geometry
Tate Algebras
Affinoid Algebras and their Associated Spaces
Affinoid Functions
Towards the Notion of Rigid Spaces
Coherent Sheaves on Rigid Spaces
Formal Geometry
Adic Rings and their Associated Formal Schemes
Raynaud's View on Rigid Spaces
More Advanced Stuff
Appendix
References
Index
ISBN:9783319044170
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2105
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Number theory
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Call number:SPRINGER-2014-9783319040752:ONLINE Show nearby items on shelf
Title:Twisted Teichmller Curves [electronic resource]
Author(s): Christian Wei
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:These notes introduce a new class of algebraic curves on Hilbert modular surfaces. These curves are called twisted Teichmller curves, because their construction is very reminiscent of Hirzebruch-Zagier cycles. These new objectsare analyzed in detail and their main properties are described. In particular, the volume of twisted Teichmller curves is calculated and their components are partially classified. The study of algebraic curves on Hilbert modularsurfaces has been widely covered in the literature due to their arithmetic importance. Among these, twisted diagonals (Hirzebruch-Zagier cycles) are some of the most important examples
Contents:Introduction
Background
Teichmller Curves
Twisted Teichmller Curves
Stabilizer and Maximality
Calculations for Twisted Teichmller Curves
Prym Varieties and Teichmller Curves
Lyapunov Exponents
Kobayashi Curves Revisited
Appendix
Tables
List of Symbols
Index
Bibliography
ISBN:9783319040752
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2104
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Differentiable dynamical systems , Number theory
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Call number:SPRINGER-2014-9783319038476:ONLINE Show nearby items on shelf
Title:Computations with Modular Forms [electronic resource] : Proceedings of a Summer School and Conference, Heidelberg, August/September 2011
Author(s): Gebhard Bckle
Gabor Wiese
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of theConference and Summer School was the interplay between theory, algorithms and experiment. The 14 papers offer readers both, instructional courses on the latest algorithms for computing modular and automorphic forms, as well as originalresearch articles reporting on the latest develop ments in the field. The three Summer School lectures provide an introduction to modern algorithms together with some theoretical background for computations of and with modular forms,including computing cohomology of arithmetic groups, algebraic automorph ic forms, and overconvergent modular symbols. The 11 Conference papers cover a wide range of themes related to computations with modular forms, including latticemethods for algebraic modular forms on classical groups, a generalization of the Maeda conject ure, an efficient algorithm for special values of p-adic Rankin triple product L-functions, arithmetic aspects and experimental data ofBianchi groups, a theoretical study of the real Jacobian of modular curves, results on computing weight one modular form s, and more
Contents:Part I Summer School: Lectures on Computing Cohomology of Arithmetic Groups by P.E. Gunnells
Computing with Algebraic Automorphic Forms by D. Loeffler
Overconvergent Modular Symbols by R. Pollack
Part II Conference and Research Contributions: Congruence Subgroups, Cusps and Manin Symbols over Number Fields by J. E. Cremona and M. T. Arans
Computing Weight One Modular Forms over C and Fp by K. Buzzard
Lattice Methods for Algebraic Modular Forms on Classical Groups by M. Greenberg and J. Voight
Efficient Computation of Rankin p
Adic L
Functions by A.G.B. Lauder
Formes Modu
ISBN:9783319038476
Series:eBooks
Series:SpringerLink
Series:Contributions in Mathematical and Computational Sciences, 2191-303X : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry, algebraic , Algorithms , Number theory
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Call number:SPRINGER-2014-9783319021324:ONLINE Show nearby items on shelf
Title:Geometric Control Theory and Sub-Riemannian Geometry [electronic resource]
Author(s): Gianna Stefani
Ugo Boscain
Jean-Paul Gauthier
Andrey Sarychev
Mario Sigalotti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry.On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language forstudying controllability, mot ion planning,stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand,Riemannian geometry and its generalizations, such a s sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to importantresults regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannianstructures, regularity of the Hausdorff volume
Contents:1 A. A. Agrachev
Some open problems
2 D. Barilari, A. Lerario
Geometry of Maslov cycles
3 Y. Baryshnikov, B. Shapiro
How to Run a Centipede: a Topological Perspective
4 B. Bonnard, O. Cots, L. Jassionnesse
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces
5 J
B. Caillau, C. Royer
On the injectivity and nonfocal domains of the ellipsoid of revolution
6 P. Cannarsa, R. Guglielmi
Null controllability in large time for the parabolic Grushin operator with singular potential
7 Y. Chitour, M. Godoy Molina, P. Kokkonen
The rolli
ISBN:9783319021324
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v5
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis , Global differential geometry , Mathematical optimization
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Call number:SPRINGER-2014-9783319017365:ONLINE Show nearby items on shelf
Title:A Differential Approach to Geometry [electronic resource] : Geometric Trilogy III
Author(s): Francis Borceux
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theoryand the preliminary a pproaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providingan integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions,not just those constructed from polynomials. During the 18th centu ry, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter thisfascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincar characteristics) associated with a surface gives you alot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry , the geometry that underlies the theory of relativity. The book is of interest to all those who teach classicaldifferential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to intuitively introduce students to the highly technical nature of this branch of mathematics, inparticular when preparing students for courses on relativity
Contents:Introduction
Preface
1.The Genesis of Differential Methods
2.Plane Curves
3.A Museum of Curves
4.Skew Curves
5.Local Theory of Surfaces
6.Towards Riemannian Geometry
7.Elements of Global Theory of Surfaces
Appendices: A.Topology
B.Differential Equations
Index
Bibliography
ISBN:9783319017365
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Global differential geometry
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Call number:SPRINGER-2014-9783319017334:ONLINE Show nearby items on shelf
Title:An Algebraic Approach to Geometry [electronic resource] : Geometric Trilogy II
Author(s): Francis Borceux
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level andalgebraic geometry at a gradua te level, and it is also an important topic in geometric applications, such as cryptography. 380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates andequations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes, ) and second degree (ellipses, hyperboloids, ) geometricfigures, in the affine, the Euclidean, the Hermitian and the projective contexts. Bu t recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, likein spaces constructed on finite fields. And of course, why not also turn our attention to geometric figur es of higher degrees? Besides all the linear aspects of geometry in their most general setting, this book also describes usefulalgebraic tools for studying curves of arbitrary degree and investigates results as advanced as the Bezout theorem, the Cramer p aradox, topological group of a cubic, rational curves etc. Hence the book is of interest for all thosewho have to teach or study linear geometry: affine, Euclidean, Hermitian, projective it is also of great interest to those who do not want to restrict t hemselves to the undergraduate level of geometric figures of degree one or two
Contents:Introduction
Preface
1.The Birth of Analytic Geometry
2.Affine Geometry
3.More on Real Affine Spaces
4.Euclidean Geometry
5.Hermitian Spaces
6.Projective Geometry
7.Algebraic Curves
Appendices:A. Polynomials Over a Field
B. Polynomials in Several Variables
C. Homogeneous Polynomials
D. Resultants
E. Symmetric Polynomials
F. Complex Numbers
G. Quadratic Forms
H. Dual Spaces
Index
Bibliography
ISBN:9783319017334
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry
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Call number:SPRINGER-2014-9783319003337:ONLINE Show nearby items on shelf
Title:Quantum Potential: Physics, Geometry and Algebra [electronic resource]
Author(s): Ignazio Licata
Davide Fiscaletti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Recently the interest in Bohm realist interpretation of quantum mechanics has grown. The important advantage of this approach lies in the possibility to introduce non-locality ab initio, and not as an unexpected host. Inthis bookthe authors give a de tailed analysis of quantum potential, the non-locality term and its role in quantum cosmology and information. The different approaches to the quantum potential are analysed, starting from the originalattempt to introduce a realism of particles trajectori es (influenced by de Broglies pilot wave) to the recent dynamic interpretation provided by Goldstein, Durr, Tumulka and Zangh, and the geometrodynamic picture, with suggestionabout quantum gravity. Finally we focus on the algebraic reading of Hiley and Bi rkbeck school, that analyse the meaning of the non-local structure of the world, bringing important consequences for the space, time and informationconcepts
Contents:From the Contents: Quantum Potential
The Quantum Potential in Schrdinger Equation
The Pilot Wave Theory
Particles trajectories as the foundation of Bohms mechanics: the nutshell of Drr, Goldstein, Tumulka and Zangh
Non
Commutative Quantum Geometry and the Algebraic Approach to Non
Locality
Quantum potential in particle and field theory models
Klein Gordon Equation and Bertoldi
Faraggi
Matone Theory
The quantum potential in Bohms approach to the Dirac relativistic quantum mechanics
Quantum Potential in Curved Space Field Theory
ISBN:9783319003337
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Physics, 2191-5423
Series:Physics and Astronomy (Springer-11651)
Keywords: Quantum theory
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Call number:SPRINGER-2014-9781493914746:ONLINE Show nearby items on shelf
Title:Alfred Tarski [electronic resource] : Early Work in PolandGeometry and Teaching
Author(s): Andrew McFarland
Joanna McFarland
James T Smith
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:Alfred Tarski (19011983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic, and universal algebra.Throughout his career, he taug ht mathematics and logic at universities and sometimes in secondary schools. Many of his writings before 1939 were in Polish and remained inaccessible to most mathematicians and historians until now. Thisself-contained book focuses on Tarskis early contri butions to geometry and mathematics education, including the famous BanachTarski paradoxical decomposition of a sphere as well as high-school mathematical topics and pedagogy.These themes are significant since Tarskis later research on geometry and its fo undations stemmed in part from his early employment as a high-school mathematics teacher and teacher-trainer. The book contains careful translations andmuch newly uncovered social background of these works written during Tarskis years in Poland. Alfred Ta rski: Early Work in PolandGeometry and Teaching serves the mathematical, educational, philosophical, and historicalcommunities by publishing Tarskis early writings in a broadly accessible form, providing background from archival work in Poland, and updati ng Tarskis bibliography
Contents:1 Tarskis first paper
1.1 Introduction
1.2 Item 1 below (nearing completion)
2 Papers on equidecomposibility of polygons
2.1 Introduction
2.2 Item 2 below (nearing completion)
2.3 Item 6 below (old translation, needs redoing)
2.4 Item 8 below (old translation, needs redoing)
2.5 Exercise 31pc in item 11g below
3 Papers related to secondary teaching
3.1 Introduction
3.2 Item 4 below (meeting report)
3.3 Item 7 below (on circles, nearing completion)
3.4 Extract from Item 9 below (textbook)
3.5 Remainder of item 11 below (exercises)
4 Assorted cont
ISBN:9781493914746
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Logic, Symbolic and mathematical
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Call number:SPRINGER-2014-9781493912551:ONLINE Show nearby items on shelf
Title:The Corona Problem [electronic resource] : Connections Between Operator Theory, Function Theory, and Geometry
Author(s): Ronald G Douglas
Steven G Krantz
Eric T Sawyer
Sergei Treil
Brett D Wick
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:The purpose of the corona workshop was toconsider the corona problem in both one and several complex variables, both in the context of function theory and harmonic analysis as well as the context of operator theory andfunctional analysis. It was held in June 2012 at the Fields Institute in Toronto, and attended by about fifty mathematicians. This volume validates and commemorates the workshop, and records some of the ideas that were developedwithin. The corona problem dates back to 1941. It has exert ed a powerful influence over mathematical analysis for nearly 75 years. There is material to help bring people up to speed in the latest ideas of the subject, as well ashistorical material to provide background. Particularly noteworthy is a history of the corona problem, authored by the five organizers, that provides a unique glimpse at how the problem and its many different solutions have developed.There has never been a meeting of this kind, and there has never been a volume of this kind. Mathematicians both veterans and newcomerswill benefit from reading this book. This volume makes a unique contribution to the analysisliterature and will be a valuable part of the canon for many years to come
Contents:The History of the Corona Problem (R.G. Douglas, S.G. Krantz, E.T. Sawyer, S. Treil, B.D. Wick)
Corona Problem for H^\infty on Riemann Surfaces (A. Brudnyi)
Connections of the Corona Problem with Operator Theory and Complex Geometry (R.G. Douglas)
On the Maximal Ideal Space of a Sarason
Type Algebra on the Unit Ball (J. Eschmeier)
A Subalgebra of the Hardy Algebra Relevant in Control Theory and its Algebraic
Analytic Properties (M. Frentz, A. Sasane)
The Corona Problem in Several Complex Variables (S.G. Krantz)
Corona
Type Theorems and Division in Some Function Algebras on Pl
ISBN:9781493912551
Series:eBooks
Series:SpringerLink
Series:Fields Institute Communications, 1069-5265 : v72
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Functions of complex variables , Operator theory , Differential equations, partial
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