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 Tsfasman, M. A. (Michael A.), 1954 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — x, 453 pages : illustration ; 27 cm.
 Summary

 Curves with many points. I: Modular curves Class field theory Curves with many points. II Infinite global fields Decoding: Some examples Sphere packings Codes from multidimensional varieties Applications Appendix: Some basic facts from Volume
 1 Bibliography List of names Index.
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QA3 .A4 V.238  Unavailable In process Request 
 Czado, Claudia, author.
 Cham, Switzerland : Springer, [2019]
 Description
 Book — xxix, 242 pages : illustrations (some color) ; 24 cm.
 Summary

 Multivariate Distributions and Copulas
 Univariate Distributions
 Multivariate Distributions
 Features of Multivariate Data
 The Concept of a Copula and Sklarʼs Theorem
 Elliptical Copulas
 Empirical Copula Approximation
 Invariance Properties of Copulas
 Meta Distributions
 Bivariate Conditional Distributions Expressed in Terms of Their Copulas
 Exercises
 Dependence Measures
 Pearson ProductMoment Correlation
 Kendallʼs T and Spearmanʼs Ps
 Tail Dependence
 Partial and Conditional Correlations
 Exercises
 Bivariate Copula Classes, Their Visualization, and Estimation
 Construction of Bivariate Copula Classes
 Bivariate Elliptical Copulas
 Archimedean Copulas
 Bivariate ExtremeValue Copulas
 Relationship Between Copula Parameters and Kendallʼs T
 Rotated and Reflected Copulas
 Relationship Between Copula Parameters and Tail Dependence Coefficients
 Exploratory Visualization
 Simulation of Bivariate Copula Data
 Parameter Estimation in Bivariate Copula Models
 Conditional Bivariate Copulas
 Average Conditional and Partial Bivariate Copulas
 Exercises
 Pair Copula Decompositions and Constructions
 Illustration in Three Dimensions
 PairCopula Constructions of Drawable Dvine and Canonical Cvine Distributions
 Conditional Distribution Functions Associated with Multivariate Distributions
 Exercises
 Regular Vines
 Necessary Graph Theoretic Background
 Regular Vine Tree Sequences
 Regular Vine Distributions and Copulas
 Simplified Regular Vine Classes
 Representing Regular Vines Using Regular Vine Matrices
 Exercises
 Simulating Regular Vine Copulas and Distributions
 Simulating Observations from Multivariate Distributions
 Simulating from Pair Copula Constructions
 Simulating from Cvine Copulas
 Simulating from Dvine Copulas
 Simulating from Regular Vine Copulas
 Exercises
 Parameter Estimation in Simplified Regular Vine Copulas
 Likelihood of Simplified Regular Vine Copulas
 Sequential and Maximum Likelihood Estimation in Simplified Regular Vine Copulas
 Asymptotic Theory of Parametric Regular Vine Copula Estimators
 Exercises
 Selection of Regular Vine Copula Models
 Selection of a Parametric Copula Family for Each Pair Copula Term and Estimation of the Corresponding Parameters for a Given Vine Tree Structure
 Selection and Estimation of all Three Model Components of a Vine Copula
 The Dissmann Algorithm for Sequential TopDown Selection of Vine Copulas
 Exercises
 Comparing Regular Vine Copula Models
 Akaike and Bayesian Information Criteria for Regular Vine Copulas
 KullbackLeibler Criterion
 Vuong Test for Comparing Different Regular Vine Copula Models
 Correction Factors in the Vuong Test for Adjusting for Model Complexity
 Exercises
 Case Study : Dependence Among German DAX Stocks
 Data Description and Sector Groupings
 Marginal Models
 Finding Representatives of Sectors
 Dependence Structure Among Representatives
 Model Comparison
 Some Interpretive Remarks
 Recent Developments in Vine Copula Based Modeling
 Advances in Estimation
 Advances in Model Selection of Vine Copula Based Models
 Advances for Special Data Structures
 Applications of Vine Copulas in Financial Econometrics
 Applications of Vine Copulas in the Life Sciences
 Application of Vine Copulas in Insurance
 Application of Vine Copulas in the Earth Sciences
 Application of Vine Copulas in Engineering
 Software for Vine Copula Modeling
 References
 Index.
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QA273.6 .C93 2019  Unavailable In process Request 
 Johnson, Richard A. (Richard Arnold), 1937 author.
 Sixth edition.  [New York, NY] : Pearson Education, Inc., [2019]
 Description
 Book — xviii, 773 pages ; 24 cm.
 Summary

For courses in Multivariate Statistics, Marketing Research, Intermediate Business Statistics, Statistics in Education, and graduatelevel courses in Experimental Design and Statistics. Appropriate for experimental scientists in a variety of disciplines, this marketleading text offers a readable introduction to the statistical analysis of multivariate observations. Its primary goal is to impart the knowledge necessary to make proper interpretations and select appropriate techniques for analyzing multivariate data. Ideal for a junior/senior or graduate level course that explores the statistical methods for describing and analyzing multivariate data, the text assumes two or more statistics courses as a prerequisite.
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QA278 .J63 2019  Unknown 
4. Applied stochastic analysis [2019]
 E, Weinan, 1963 author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — xxi, 305 pages ; 26 cm.
 Summary

 Fundamentals: Random variables Limit theorems Markov chains Monte Carlo methods Stochastic processes Wiener process Stochastic differential equations FokkerPlanck equation Advanced topics: Path integral Random fields Introduction to statistical mechanics Rare events Introduction to chemical reaction kinetics Appendix Bibliography Index.
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QA274.2 .E23 2019  Unknown 
 Guionnet, Alice, author.
 [Providence, RI] : American Mathematical Society, [2019]
 Description
 Book — vii, 143 pages ; 26 cm.
 Summary

 Introduction The example of the GUE Wigner random matrices Betaensembles Discrete betaensembles Continuous betamodels: The several cut case Several matrixensembles Universality for betamodels Bibliography Index.
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QA196.5 .G85 2019  Unavailable In process Request 
 Chenevier, Gaëtan, author.
 Cham : Springer Nature Switzerland AG, [2019]
 Description
 Book — xxi, 417 pages : illustrations ; 24 cm.
 Summary

 Preface
 Introduction
 Even Unimodular Lattices
 Kneser Neighbors
 Theta Series and Siegel Modular Forms
 Automorphic Forms for the Classical Groups
 Algebraic Automorphic Representations of Small Weight
 Proofs of Theorems D and E
 A Few Applications
 Bilinear and Quadratic Algebra
 Basic Concepts in the Theory of Bilinear and Quadratic Forms
 On bModules and qModules over Z
 Root Systems and Even Unimodular Lattices
 Kneser Neighbors
 Variations on the Notion of Kneser Neighbors
 Hecke Operators Associated with the Notion of Neighborhood
 Examples
 Determination of T2 for n = 16
 Determination of T3 for n = 16
 Determination of T2 for n = 24 (Following NebeVenkov [156])
 dNeighborhoods Between a Niemeier Lattice with Roots and the Leech Lattice
 Necessary Conditions for a Niemeier Lattice with Roots to Have a dNeighbor with No Roots
 On the hNeighborhoods and (h + 1)Neighborhoods Between a Niemeier Lattice with Roots and Coxeter Number h and the Leech Lattice
 On the Stabilizers for the Action of W on PLreg (Z/d), for L a Niemeier Lattice with Roots
 Complement : on the 2Neighbors of a Niemeier Lattice with Roots, Associated with a Weyl Vector
 Automorphic Forms and Hecke Operators
 Lattices and Class Sets of Zgroups
 Linear Groups
 Orthogonal and Symplectic Groups
 SOL Versus OL
 Orthogonal Groups in Odd Dimensions
 Hecke Correspondences
 General Formalism
 A Functor from Modules to H(X)oppModules
 The Hecke Ring of a Zgroup
 Some Classical Hecke Rings
 H(SOL) Versus H(OL)
 Isogenics
 Automorpic Forms of a Zgroup
 SquareIntegrable Automorphic Forms
 The Set (G)
 Automorphic Forms for On
 Automorphic Forms for the Zgroups G with G(R) Compact
 The Case of the Groups On and SOn
 An Invariant Hermitian Inner Product
 Siegel Modular Forms
 The Classical Point of View
 Fourier Series Expansions and Cusp Forms
 The Relation Between Sw (Sp2g (Z)) and A2(PGS2g)
 The Action of Hecke Operators
 Adisc (Sp2g) May Be Deduced from Adisc (PGSp2g)
 Theta Series and Even Unimodular Lattices
 Siegel Theta Series
 Theta Series of E8, E8 and E16
 Theta Series of the Niemeier Lattices
 An Alternative Construction of I4 by Triality
 Harmonic Theta Series
 Hecke Operators Corresponding to Perestroikas
 Passage from PGOn to PGSOn
 Triality for PGSO8
 One Last Theta Series and the End of the Proof
 Appendix : a Simple Example of the Eichler Relations
 Langlands Parametrization
 Basic Facts on Reductive kGroups
 The Based Root Datum of a Reductive kGroup
 Langlands Dual
 Examples
 Representations of Split Reductive Groups in Characteristic Zero
 Satake Parametrization
 The Satake Isomorphism
 The Two Natural Bases of the Hecke Ring of G
 The Classical Groups : a Collection of Formulas
 The HarishChandra Isomorphism
 The Center of the Universal Enveloping Algebra of a Reductive Cgroup
 The Infinitesimal Character of a Unitary Representation
 The ArthurLanglands Conjecture
 Langlands Parametrization of (G) for G Semisimple over Z
 A Few Formulas
 The ArthurLanglands Conjecture
 A Few Examples
 Relations with LFunctions
 The Generalized Ramanujan Conjecture
 A Few Cases of the ArthurLanglands Conjecture
 The Eichler Relations Revisited
 The Point of View of Rallis
 A Refinement : Passage to the Spin Groups
 Disc(O8) and Triality
 A Few Consequences of the Work of Ikeda and Böcherer
 A Table of the First Elements of disc(SO8)
 The Space Mdet(O24)
 Arthur's Classification for the Classical Zgroups
 Standard Parameters for the Classical Groups
 SelfDual Representations of PGLn
 Duality in disc(PGLn)
 Regular Algebraic Representations
 Representations of GLn(R)
 The Ramanujan Conjecture and Galois Representations
 LFunctions of Pairs of Algebraic Representations
 Arthur's Multiplicity Formula
 Arthur's SymplecticOrthogonal Alternative
 The Multiplicity Formula : General Assumptions
 The Group C and the Character E
 The Case of the Chevalley Groups
 Discrete Series
 Discrete Series, Following HarishChandra
 Shelstad's Canonical Parametrization, the Case of Split Groups
 Dual Interpretation and Link with Arthur Packets
 Example : the Holomorphic Discrete Series of Sp2g(R)
 Pure Forms of the Split Groups
 AdamsJohnson Packets
 Example : AdamsJohnson Parameters of Sp2g
 Dual Parametrization of AJ
 AdamsJohnson Packets and Arthur Packets
 Explicit Multiplicity Formulas
 Explicit Formula for Sp2g
 Explicit Formula for SOn with n = ±1 mod 8
 Explicit Formula for SOn with n = 0 mod 8
 Compatibility with the Theta Correspondence
 Compatibility with Bocherer's Lfunction
 Proofs of the Main Theorems
 Tsushima's Modular Forms of Genus 2
 Tsushima's Dimension Formula
 Standard Parameters of the First Six Forms of Genus 2
 A Few Eigenvalues of Hecke Operators
 Where We Explain the Occurrence of the j, k in Table 7.1
 Disc(SO24) and the NebeVenkov Conjecture
 A Characterization of Table 1.2
 Statements and an Overview of the Proofs
 Theorem 9.2.5 Implies Theorem 9.2.6
 First, Conditional, Proof of Theorem 9.2.5
 Second Proof of Theorem 9.2.5, Modulo Conjecture 8.4.22
 Algebraic Representations of Motivic Weight at Most 22
 A Classification Statement
 The Explicit Formula for the LFunctions of Pairs
 Odlyzko's Function
 Beginning of the Proof of Theorem 9.3.2 : the Case w 20
 Intermezzo : a Geometric Criterion
 End of the Proof of Theorem 9.3.2 : the Case of Motivic Weights 21 and 22
 Complements
 Proof of Theorem E
 A New Proof of Theorem A
 Proof of Theorem E
 Siegel Modular Forms of Weight at Most 12
 Forms of Weight 12 and a Proof of Theorem D of the Introduction
 Forms of Weight at Most 11
 Toward a New Proof of the Equality (X24) = 24
 A Few Elements of disc(SOn) for n = 15, 17 and 23
 Applications
 24 lAdic Galois Representations
 Back to pNeighbors of Niemeier Lattices
 Determination of the Tj, k (q) for Small Values of q
 Determination of the Tj, k (p) for p 113
 Determination of the Tj, k (p2) for p 29
 HarderType Congruences
 The BarnesWall Lattice and the Siegel Theta Series of Even Unimodular Lattices of Dimension 16
 Quadratic Forms and Neighbors in Odd Dimension
 Basic Concepts in the Theory of Quadratic Forms on a Projective Module of Odd Constant Rank
 On the qiModules over Z
 The Theory of pNeighbors for qiModules over Z
 The Theory of pNeighbors for Even Lattices of Determinant 2
 Examples
 Determination of T2 for n = 17
 Determination of T2 for n = 15
 On the Determination of T2 for n = 23
 Tables
 References
 Postface
 Notation Index
 Terminology Index.
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QA243 .C44 2019  Unavailable In process Request 
7. Automorphisms of twogenerator free groups and spaces of isometric actions on the hyperbolic plane [2019]
 Goldman, William Mark, author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — vii, 78 pages : illustrations ; 26 cm.
 Summary

 Introduction The rank two free group and its automorphisms Character varieties and their automorphisms Topology of the imaginary commutator trace Generalized Fricke spaces Bowditch theory Imaginary trace labelings Imaginary characters with $k>2$ Imaginary characters with $k<2$ Imaginary characters with $k=2$ Bibliography.
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Shelved by Series title NO.1249  Unknown 
 Georgia International Topology Conference (2017 : University of Georgia), author.
 Providence, Rhode Island : American Mathematical Society, [2019]
 Description
 Book — vii, 282 pages : illustrations ; 26 cm.
 Summary

 I. Agol and V. Krushkal, Structure of the flow and Yamada polynomials of cubic graphs R. I Baykur, Inequivalent Lefschetz fibrations on rational and ruled surfaces H. U. Boden and A. J. Nicas, Virtual and welded periods of classical knots R. Casals and J. B. Etnyre, Transverse universal links S. Friedl, W. Luck, and S. Tillmann, Groups and polytopes D. T. Gay, Functions on surfaces and constructions of manifolds in dimensions three, four and five J. E. Grigsby, On braided, banded surfaces and ribbon obstructions J. M. Hanselman, C. Kutluhan, and T. Lidman, A remark on the geography problem in Heegaard Floer homology K. Hendricks and J. Hom, A note on knot concordance and involutive knot Floer homology C. Kutluhan, G. Matic, J. Van HornMorris, and A. Wand, A Heegaard Floer analog of algebraic torsion K. Mann and B. Tsishiku, Realization problems for diffeomorphism groups D. Margalit, Problems, questions, and conjectures about mapping class groups J. Pardon, Totally disconnected groups (not) acting on twomanifolds P. Seidel, Fukaya $A_\infty$structures associated to Lefschetz fibrations. IV
 2017 GITC problem sessions.
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QA1 .A626 V.102  Unavailable In process Request 
9. Calculus : concepts and contexts [2019]
 Stewart, James, 1941 author.
 4e. Enhanced edition.  Boston, MA, USA : Cengage, [2019]
 Description
 Book — 1 volume (various pagings) ; 27 cm
 Summary

 Preface. To the Student. Diagnostic Tests. A Preview of Calculus.
 1. FUNCTIONS AND MODELS. Four Ways to Represent a Function. Mathematical Models: A Catalog of Essential Functions. New Functions from Old Functions. Graphing Calculators and Computers. Exponential Functions. Inverse Functions and Logarithms. Parametric Curves. Laboratory Project: Running Circles around Circles. Review. Principles of Problem Solving.
 2. LIMITS AND DERIVATIVES. The Tangent and Velocity Problems. The Limit of a Function. Calculating Limits Using the Limit Laws. Continuity. Limits Involving Infinity. Derivatives and Rates of Change. Writing Project: Early Methods for Finding Tangents. The Derivative as a Function. What Does f? ? Say about f ? Review. Focus on Problem Solving.
 3. DIFFERENTIATION RULES. Derivatives of Polynomials and Exponential Functions. Applied Project: Building a Better Roller Coaster. The Product and Quotient Rules. Derivatives of Trigonometric Functions. The Chain Rule. Laboratory Project: Bezier Curves. Applied Project: Where Should a Pilot Start Descent? Implicit Differentiation. Inverse Trigonometric Functions and their Derivatives. Derivatives of Logarithmic Functions. Discovery Project: Hyperbolic Functions. Rates of Change in the Natural and Social Sciences. Linear Approximations and Differentials. Laboratory Project: Taylor Polynomials. Review. Focus on Problem Solving.
 4. APPLICATIONS OF DIFFERENTIATION. Related Rates. Maximum and Minimum Values. Applied Project: The Calculus of Rainbows. Derivatives and the Shapes of Curves. Graphing with Calculus and Calculators. Indeterminate Forms and l''Hospital''s Rule. Writing Project: The Origins of l''Hospital''s Rule. Optimization Problems. Applied Project: The Shape of a Can. Newton''s Method. Antiderivatives. Review. Focus on Problem Solving.
 5. INTEGRALS. Areas and Distances. The Definite Integral. Evaluating Definite Integrals. Discovery Project: Area Functions. The Fundamental Theorem of Calculus. Writing Project: Newton, Leibniz, and the Invention of Calculus. The Substitution Rule. Integration by Parts. Additional Techniques of Integration. Integration Using Tables and Computer Algebra Systems. Discovery Project: Patterns in Integrals. Approximate Integration. Improper Integrals. Review. Focus on Problem Solving.
 6. APPLICATIONS OF INTEGRATION. More about Areas. Volumes. Discovery Project: Rotating on a Slant. Volumes by Cylindrical Shells. Arc Length. Discovery Project: Arc Length Contest. Average Value of a Function. Applied Project: Where to Sit at the Movies. Applications to Physics and Engineering. Discovery Project: Complementary Coffee Cups. Applications to Economics and Biology. Probability. Review. Focus on Problem Solving.
 7. DIFFERENTIAL EQUATIONS. Modeling with Differential Equations. Direction Fields and Euler''s Method. Separable Equations. Applied Project: How Fast Does a Tank Drain? Applied Project: Which Is Faster, Going Up or Coming Down? Exponential Growth and Decay. Applied Project: Calculus and Baseball. The Logistic Equation. PredatorPrey Systems. Review. Focus on Problem Solving.
 8. INFINTE SEQUENCES AND SERIES. Sequences. Laboratory Project: Logistic Sequences. Series. The Integral and Comparison Tests Estimating Sums. Other Convergence Tests. Power Series. Representations of Functions as Power Series. Taylor and Maclaurin Series. Laboratory Project: An Elusive Limit. Writing Project: How Newton Discovered the Binomial Series. Applications of Taylor Polynomials. Applied Project: Radiation from the Stars. Review. Focus on Problem Solving.
 9. VECTORS AND THE GEOMETRY OF SPACE. ThreeDimensional Coordinate Systems. Vectors. The Dot Product. The Cross Product. Discovery Project: The Geometry of a Tetrahedron. Equations of Lines and Planes. Laboratory Project: Putting 3D in Perspective. Functions and Surfaces. Cylindrical and Spherical Coordinates. Laboratory Project: Families of Surfaces. Review. Focus on Problem Solving.
 10. VECTOR FUNCTIONS. Vector Functions and Space Curves. Derivatives and Integrals of Vector Functions. Arc Length and Curvature. Motion in Space: Velocity and Acceleration. Applied Project: Kepler''s Laws. Parametric Surfaces. Review. Focus on Problem Solving.
 11. PARTIAL DERIVATIVES. Functions of Several Variables. Limits and Continuity. Partial Derivatives. Tangent Planes and Linear Approximations. The Chain Rule. Directional Derivatives and the Gradient Vector. Maximum and Minimum Values. Applied Project: Designing a Dumpster. Discovery Project: Quadratic Approximations and Critical Points. Lagrange Multipliers. Applied Project: Rocket Science. Applied Project: HydroTurbine Optimization. Review. Focus on Problem Solving.
 12. MULTIPLE INTEGRALS. Double Integrals over Rectangles. Iterated Integrals. Double Integrals over General Regions. Double Integrals in Polar Coordinates. Applications of Double Integrals. Surface Area. Triple Integrals. Discovery Project: Volumes of Hyperspheres. Triple Integrals in Cylindrical and Spherical Coordinates. Applied Project: Roller Derby. Discovery Project: The Intersection of Three Cylinders. Change of Variables in Multiple Integrals. Review. Focus on Problem Solving.
 13. VECTOR CALCULUS. Vector Fields. Line Integrals. The Fundamental Theorem for Line Integrals. Green''s Theorem. Curl and Divergence. Surface Integrals. Stokes'' Theorem. Writing Project: Three Men and Two Theorems. The Divergence Theorem. Summary. Review. Focus on Problem Solving. APPENDIXES. A. Intervals, Inequalities, and Absolute Values. B. Coordinate Geometry. C. Trigonometry. D. Precise Definitions of Limits. E. A Few Proofs. F. Sigma Notation. G. Integration of Rational Functions by Partial Fractions. H. Polar Coordinates. I. Complex Numbers. J. Answers to OddNumbered Exercises.
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QA303.2 .S88253 2019  Unknown 
10. Calculus : early transcendental functions [2019]
 Larson, Ron, 1941 author.
 7e / Ron Larson, Bruce Edwards.  Boston, MA : Cengage Learning, [2019]
 Description
 Book — xiii, 1128, A155 pages ; 29 cm
 Summary

Designed for the threesemester engineering calculus course, CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, 7th Edition, continues to offer instructors and students innovative teaching and learning resources. The Larson team always has two main objectives for text revisions: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus; and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and save time. The Larson/Edwards Calculus program offers a solution to address the needs of any calculus course and any level of calculus student. Every edition from the first to the seventh of CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas.
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QA303.2 .L368 2019  Unknown 
 Lerner, Nicolas, 1953 author.
 Cham : Springer, [2019]
 Description
 Book — xxvii, 557 pages : illustrations ; 25 cm.
 Summary

 Prolegomena
 Preliminaries
 Hyperbolicity, the Energy Method and WellPosedness
 The LaxMizohata Theorems
 Strictly Hyperbolic Operators
 IllPosedness Examples
 Holmgren's Uniqueness Theorems
 Carleman's Method Displayed on a Simple Example
 The *** Equation
 The Laplace Equation
 A Toolbox for Carleman Inequalities
 Weighted Inequalities
 Conjugation
 Sobolev Spaces with Parameter
 The Symbol of the Conjugate
 Choice of the Weight
 Operators with Simple Characteristics : Calderón's Theorems
 Introduction
 Inequalities for Symbols
 A Carleman Inequality
 Examples
 SecondOrder Real Elliptic Operators
 Strictly Hyperbolic Operators
 Products
 Generalizations of Calderón's Theorems
 Cutting the Regularity Requirements
 Pseudoconvexity : Hörmander's Theorems
 Introduction
 Inequalities for Symbols
 Pseudoconvexity
 Carleman Inequality, Definition
 Invariance Properties of Strong Pseudoconvexity
 Unique Continuation
 Examples
 Pseudoconvexity for Real SecondOrder Operators
 The Tricomi Operator
 Constant Coefficients
 The Characteristic Case
 Remarks and Open Problems
 Stability Under Perturbations
 Higher Order Tangential Bicharacteristics
 A Direct Method for Proving Carleman Estimates?
 Complex Coefficients and Principal Normality
 Introduction
 ComplexValued Symbols
 Principal Normality
 Our Strategy for the Proof
 Pseudoconvexity and Principal Normality
 PseudoConvexity for Principally Normal Operators
 Inequalities for Symbols
 Inequalities for Elliptic Symbols
 Unique Continuation via Pseudoconvexity
 Unique Continuation for Complex Vector Fields
 WarmUp : Studying a Simple Model
 Carleman Estimates in Two Dimensions
 Unique Continuation in Two Dimensions
 Unique Continuation Under Condition (P)
 Counterexamples for Complex Vector Fields
 Main Result
 Explaining the Counterexample
 Comments
 On the Edge of Pseudoconvexity
 Preliminaries
 Real Geometrical Optics
 Complex Geometrical Optics
 The AlinhacBaouendi Nonuniqueness Result
 Statement of the Result
 Proof of Theorem 6.6
 Nonuniqueness for Analytic Nonlinear Systems
 Preliminaries
 Proof of Theorem 6.27
 Compact Uniqueness Results
 Preliminaries
 The Result
 The Proof
 Remarks, Open Problems and Conjectures
 Finite Type Conditions for Actual Uniqueness
 IllPosed Problems with RealValued Solutions
 Operators with Partially Analytic Coefficients
 Preliminaries
 Motivations
 Between Holmgren's and Hórmander's Theorems
 Some Invariant Assumptions
 Operators with Real Coefficients
 A Modification of Carleman's Method
 Gaussian Mollifiers and Supports
 Conjugation
 Some Technical Lemmas
 Conormal Pseudoconvexity and Carleman Estimates
 Proof of Theorem 7.2
 An Improvement of Theorem 7.2
 Transversally Elliptic Operators
 Statement of the Result
 More Technical Lemmas
 Inequalities for Transversally Elliptic Symbols
 Modified Transversally Elliptic Symbols
 Proof of Theorem 7.26
 Strong Unique Continuation Properties for Elliptic Operators
 Radial Potentials
 Preliminaries
 Radial Potentials ...
 Proofs
 Kato Potentials
 Additional Remarks on Radial Potentials
 Laplace Operator, ... Potential
 Statement of the Results
 Proof of the Main Result
 Extensions and Remarks
 The Dirac Operator, Square Root of the Laplace Operator
 A Counterexample for the Dirac Operator
 On the Scalar SquareRoot of the Laplace Operator
 On Wolff's Modification of Carleman's Method
 Introduction
 Wolff's MeasureTheoretic Lemma
 CarlemanType Inequalities and Unique Continuation
 Some Inequalities
 Weak Unique Continuation Results
 Continuation with Respect to Sets of Positive Measure
 Proof of Theorem 8.89
 Complementary Remarks
 Carleman Estimates via Brenner's Theorem and Strichartz Estimates
 Preliminaries
 Strichartz Estimates for Real PrincipalType Operators
 Classical Pseudodifferential Operators
 Strichartz Estimates
 Proof of Theorem 9.10
 Preliminaries for a Unique Continuation Theorem
 General Setting
 Factorization Arguments
 Unique Continuation Results
 Statement of the Results
 The Strictly Hyperbolic Case
 Comments and Additional Results
 Complex Roots, Positive Elliptic Imaginary Part
 Complex Roots, Negative Elliptic Imaginary Part
 Elliptic Operators with Jumps; Conditional Pseudoconvexity
 Introduction to Elliptic Operators with Jumps
 Preliminaries
 Jump Discontinuities
 Framework
 A Carleman Estimate for Elliptic Operators with Jumps
 Proof for a Model Case
 Comments
 Condition
 Quasimode Construction
 Open Problems
 A BV Elliptic Matrix
 An Elliptic Matrix with Infinitely Many Jumps
 Strong Unique Continuation
 Conditional Pseudoconvexity
 The Result
 A More General Result
 Proof of Theorem 10.20
 Comments
 The Lorentzian Geometry Setting
 Perspectives and Developments
 Parabolic Equations
 On Tychonoff's Example
 Backward Parabolic Equations
 Control Theory
 The Heat Equation
 The F. John and H. Bahouri Method
 Inverse Problems
 Spectral Theory
 A Global Carleman Estimate
 Absence of Embedded Eigenvalues
 Absence of Embedded Eigenvalues, Continued
 Fluid Mechanics
 Regularity Results for the NavierStokes System
 Unique Continuation for the Stokes System
 Appendix A : Elements of Fourier Analysis
 Appendix B : Miscellanea
 References
 Index.
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QA295 .L527 2019  Unavailable In process Request 
12. Certain numbertheoretic episodes in algebra [2019]
 Sivaramakrishnan, R., 1936 author.
 Second edition.  Boca Raton : CRC Press, Taylor & Francis Group, [2019]
 Description
 Book — xxxi, 411 pages : illustrations ; 25 cm
 Summary

 Section A  ELEMENTS OF THE THEORY OF NUMBERS. From Euclid to Lucas: Elementary theorems revisited. Solutions of Congruences, Primitive Roots. The Chinese Remainder Theorem. Mobius inversion. Quadratic Residues. Decomposition of a number as a sum of two or four squares. Dirichlet Algebra of Arithmetical Functions. Modular arithmetical functions. A generalization of Ramanujan sums. Ramanujan expansions of multiplicative arithmetic functions. Section B  SELECTED TOPICS IN ALGEBRA. On the uniqueness of a group of order r (r > 1). Quadratic Reciprocity in a finite group. Commutative rings with unity. Noetherian and Artinian rings. Section C  GLIMPSES OF THE THEORY OF ALGEBRAIC NUMBERS. Dedekind domains. Algebraic number fields. Section D  SOME ADDITIONAL TOPICS. Vaidyanathaswamy's classdivision of integers modulo r. Burnside's lemma and a few of its applications. On cyclic codes of length n over Fq. An Analogue of the Goldbach problem. Appendix A. Appendix B. Appendix C. Index.
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QA247 .S5725 2019  Unknown 
13. Coupled phaselocked loops : stability, synchronization, chaos and communication with chaos [2019]
 Matrosov, Valery V., 1960 author.
 Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2019]
 Description
 Book — x, 244 pages ; 24 cm.
 Summary

 Introduction: dynamical chaos and information communication
 Nonlinear dynamics of the phase system
 Cascade coupling of two phase systems
 Three cascadecoupled phase system dynamics
 Phase systems parallel coupling
 Synchronization of chaotic oscillations
 Communication with chaos.
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Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA612.76 .M38 2019  Unknown 
14. CR embedded submanifolds of CR manifolds [2019]
 Curry, Sean N., 1990 author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — v, 81 pages ; 25 cm.
 Summary

 Introduction Weighted TanakaWebster Calculus CR Tractor Calculus CR Embedded Submanifolds and Contact Forms CR Embedded Submanifolds and Tractors Higher Codimension Embeddings Invariants of CR Embedded Submanifolds A CR Bonnet Theorem Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title NO.1241  Unknown 
15. Crossed products of operator algebras [2019]
 Katsoulis, Elias G., 1963 author.
 Providence, RI : American Mathematical Society, [2019]
 Description
 Book — vii, 85 pages ; 25 cm.
 Summary

 Introduction Preliminaries Definitions and fundamental results Maximal C$^*$covers, iterated crossed products and Takai duality Crossed products and the Dirichlet property Crossed products and semisimplicity The crossed product as the tensor algebra of a C$^*$correspondence Concluding remarks and open problems Bibliography.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title NO.1240  Unknown 
 Helton, J. William, 1944 author.
 Providence, RI : AMS, American Mathematical Society, [2019]
 Description
 Book — v, 106 pages ; 26 cm.
 Summary

 Introduction Dilations and Free Spectrahedral Inclusions Lifting and Averaging A Simplified Form for $\vartheta $ $\vartheta$ is the Optimal Bound The Optimality Condition $\alpha =\beta $ in Terms of Beta Functions Rank versus Size for the Matrix Cube Free Spectrahedral Inclusion Generalities Reformulation of the Optimization Problem Simmons' Theorem for Half Integers Bounds on the Median and the Equipoint of the Beta Distribution Proof of Theorem 2.1 Estimating $\vartheta (d)$ for Odd $d$. Dilations and Inclusions of Balls Probabilistic Theorems and Interpretations continued Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title NO.1232  Unknown 
17. Discrete geometry and isotropic surfaces [2019]
 Jauberteau, François, 1959 author.
 Paris : Société Mathématique de France, 2019.
 Description
 Book — vii, 99 pages : illustrations ; 24 cm.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title N.S. NO.161  Unavailable In process Request 
18. Discrete Painlevé equations [2019]
 Joshi, Nalini, author.
 [Providence, Rhode Island] : American Mathematical Society, [2019]
 Description
 Book — vi, 146 pages : illustrations ; 26 cm.
 Summary

 Introduction A dynamical systems approach Initial value spaces Foliated initial value spaces Cremona mappings Asymptotic analysis Lax pairs RiemannHilbert problems Foliations and vector bundles Projective spaces Reflection groups Lists of discretePainleve equations Asymptotics of discrete equations Bibliography Index.
 (source: Nielsen Book Data)
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA1 .R33 NO.131  Unavailable In process Request 
 Vidotto, Pierre, author.
 Paris : Société mathématique de France, 2019.
 Description
 Book — vi, 132 pages : illustrations ; 24 cm.
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Serials  
Shelved by Series title N.S. NO.160  Unknown 
 Lewis, Harry R., author.
 Princeton, New Jersey : Princeton University Press, [2019]
 Description
 Book — xii, 388 pages ; 27 cm
 Summary

A more intuitive approach to the mathematical foundation of computer science Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. This textbook covers the discrete mathematics that every computer science student needs to learn. Guiding students quickly through thirtyone short chapters that discuss one major topic each, this flexible book can be tailored to fit the syllabi for a variety of courses. Proven in the classroom, Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises. The text requires only precalculus, and where calculus is needed, a quick summary of the basic facts is provided. Essential Discrete Mathematics for Computer Science is the ideal introductory textbook for standard undergraduate courses, and is also suitable for high school courses, distance education for adult learners, and selfstudy. The essential introduction to discrete mathematics Features thirtyone short chapters, each suitable for a single class lesson Includes more than 300 exercises Almost every formula and theorem proved in full Breadth of content makes the book adaptable to a variety of courses Each chapter includes a concise summary Solutions manual available to instructors.
(source: Nielsen Book Data)
 Online
Science Library (Li and Ma)
Science Library (Li and Ma)  Status 

Stacks  
QA76.9 .M35 L49 2019  Unknown 