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SPIRES-BOOKS: FIND KEYWORD SEQUENCES MATHEMATICS *END*INIT* use /tmp/qspiwww.webspi1/14991.220 QRY 131.225.70.96 . find keyword "sequences mathematics" ( in books using www Cover
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Call number:9780817646295:ONLINE Show nearby items on shelf
Title:Mathematical Bridges
Author(s): Titu Andreescu
Date:2017
Publisher:New York, NY : Springer New York
Size:1 online resource (VIII, 309 p. 3 illus p.)
Contents:Mathematical (and Other) Bridges -- Cardinality -- Polynomial Functions Involving Determinants -- Some Applications of the Hamilton-Cayley Theorem -- A Decomposition Theorem Related to the Rank of a Matrix -- Equivalence Relations on
Groups and Factor Groups -- Density -- The Nested Intervals Theorem -- The Splitting Method and Double Sequences -- The Number e -- The Intermediate Value Theorem -- The Extreme Value Theorem -- Uniform Continuity -- Derivatives and
Functions' Variation -- Riemann and Darboux Sums -- Antiderivatives
ISBN:9780817646295
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algebra , Mathematics , Algebra
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Call number:047124063X:ONLINE Show nearby items on shelf
Title:Average Case Analysis of Algorithms on Sequences
Author(s): Szpankowski
Date:2001
Publisher:Wiley-Interscience
Size:1 online resource (577 p.)
ISBN:9780471240631
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:SPRINGER-2016-9789811009136:ONLINE Show nearby items on shelf
Title:Current Topics in Summability Theory and Applications
Author(s):
Date:2016
Size:1 online resource (431 p.)
Note:10.1007/978-981-10-0913-6
Contents:Chapter 1. An Introduction to Summability Methods -- Chapter 2. Some Topics in Summability Theory -- Chapter 3. Summability and Convergence using Ideals -- Chapter 4. Convergence Acceleration and Improvement by Regular Matrices -- Chapter 5. On Sum mability, Multipliability and Integrability -- Chapter 6. Multi-dimensional Summability Theory and Continuous Wavelet Transform -- Chapter 7. Absolute Riesz and Related Summability Methods -- Chapter 8. Some Applications of Summability Theory -- Chapter 9 . Degree of Approximation of Functions through Summability Methods
ISBN:9789811009136
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Functional analysis , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Functional Analysis , Approximations and Expansions
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Call number:SPRINGER-2016-9783662498873:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python
Author(s): Hans Petter Langtangen
Date:2016
Edition:5th ed. 2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-662-49887-3
Contents:Preface -- Computing with Formulas -- Loops and Lists -- Functions and Branching -- User Input and Error Handling -- Array Computing and Curve Plotting -- Dictionaries and Strings -- Introduction to Classes -- Random Numbers and Simple Games -- Obj ect-Oriented Programming -- Sequences and Difference Equations -- Introduction to Discrete Calculus -- Introduction to Differential Equations -- A Complete Differential Equation Project -- Programming of Differential Equations -- Debugging -- Migrating Py thon to Compiled Code -- Technical Topics -- References -- Index
ISBN:9783662498873
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Texts in Computational Science and Engineering: 6
Keywords: Mathematics , Computer programming , Computer science , Computer mathematics , Physics , Mathematics , Computational Science and Engineering , Programming Techniques , Mathematics of Computing , Numerical and Computational Physics
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Call number:SPRINGER-2016-9783319335070:ONLINE Show nearby items on shelf
Title:Monte Carlo and Quasi-Monte Carlo Methods MCQMC, Leuven, Belgium, April 2014
Author(s):
Date:2016
Size:1 online resource (57 p.)
Note:10.1007/978-3-319-33507-0
Contents:Part I Invited papers -- Multilevel Monte Carlo Implementation for SDEs driven by Truncated Stable Processes -- Construction of a Mean Square Error Adaptive Euler–Maruyama Method With Applications in Multilevel Monte Carlo -- Vandermonde Nets and Vandermonde Sequences -- Path Space Markov Chain Monte Carlo Methods in Computer Graphics -- Walsh Figure of Merit for Digital Nets: An Easy Measure for Higher Order Convergent QMC -- Some Results on the Complexity of Numerical Integration -- Approximate Bayesian Computation: A Survey on Recent Results -- Part II Contributed papers -- Multilevel Monte Carlo Simulation of Statistical Solutions to the Navier–Stokes Equations -- Unbiased Simulation of Distributions with Explicitly Known Integral Transforms -- Central Limit Theorem for Adaptive Multilevel Splitting Estimators in an Idealized Setting -- Comparison between LS-Sequences and β -adic van der Corput Sequences -- Computational Higher Order Quasi-Monte Carlo Integration -- Numerical
Computation of Multivariate Normal Probabilities using Bivariate Conditioning -- Non-nested Adaptive Timesteps in Multilevel Monte Carlo Computations -- On ANOVA Decompositions of Kernels and Gaussian Random Field Paths -- The Mean Square Quasi-Mont e Carlo Error for Digitally Shifted Digital Nets -- Uncertainty and Robustness in Weather Derivative Models -- Reliable Adaptive Cubature Using Digital Sequences -- Optimal Point Sets for Quasi-Monte Carlo Integration of Bivariate Periodic Functions with Bounded Mixed Derivatives -- Adaptive Multidimensional Integration Based on Rank-1 Lattices -- Path Space Filtering -- Tractability of Multivariate Integration in Hybrid Function Spaces -- Derivative-based Global Sensitivity Measures and Their Link with S obol’ Sensitivity Indices -- Bernstein Numbers and Lower Bounds for the Monte Carlo Error -- A Note on the Importance of Weak Convergence Rates for SPDE Approximations in Multilevel Monte Carlo Schemes -- A Strategy for Parallel
Implementations of Stochastic Lagrangian Simulation -- A New Rejection Sampling Method for Truncated Multivariate Gaussian Random Variables Restricted to Convex Sets -- Van der Corput and Golden Ratio Sequences Along the Hilbert Space-Filling Curve -- Uniform Weak Tractability of Weighted Integration -- Incremental Greedy Algorithm and Its Applications in Numerical Integration -- On “Upper Error Bounds for Quadrature Formulas on Function Classes” by K K Frolov -- Tractability of Function Approxi mation With Product Kernels -- Discrepancy Estimates for Acceptance-Rejection Samplers Using Stratified Inputs -- List of Participants -- Index
ISBN:9783319335070
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 163
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Computer mathematics , Mathematics , Computational Mathematics and Numerical Analysis , Applications of Mathematics
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Call number:SPRINGER-2016-9783319333700:ONLINE Show nearby items on shelf
Title:Free Boundary Problems in PDEs and Particle Systems
Author(s): Gioia Carinci
Date:2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-33370-0
Contents:Introduction -- Part I The basic model -- Introduction to Part I -- The basic model, definitions and results -- Regularity properties of the barriers -- Lipschitz and L1 estimates -- Mass transport inequalities -- The limit theorems on barriers -- Brownian motion and the heat equation -- Existence of optimal sequences -- Proof of the main theorem -- The basic particle model and its hydrodynamic limit -- Part II Variants of the basic model -- Introduction to Part II -- Independent walkers with curre nt reservoirs -- Beyond diffusive scaling -- Other models
ISBN:9783319333700
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:SpringerBriefs in Mathematical Physics: 12
Keywords: Mathematics , Partial differential equations , Probabilities , Mathematical physics , Physics , Statistical physics , Dynamical systems , Thermodynamics , Heat engineering , Heat transfer , Mass transfer , Mathematics , Partial Differential Equations , Statistical Physics, Dynamical Systems and Complexity , Mathematical Physics , Probability Theory and Stochastic Processes , Mathematical Methods in Physics , Engineering Thermodynamics, Heat and Mass Transfer
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Call number:SPRINGER-2016-9783319318424:ONLINE Show nearby items on shelf
Title:Hasse-Schmidt Derivations on Grassmann Algebras With Applications to Vertex Operators
Author(s): Letterio Gatto
Date:2016
Size:1 online resource (195 p.)
Note:10.1007/978-3-319-31842-4
Contents:Prologue -- Generic Linear Recurrence Sequences -- Algebras and Derivations -- Hasse-Schmidt Derivations on Exterior Algebras -- Schubert Derivations -- Decomposable Tensors in Exterior Powers -- Vertex Operators via Generic LRS -- Index
ISBN:9783319318424
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:IMPA Monographs : 4
Keywords: Mathematics , Matrix theory , Algebra , Operator theory , Differential equations , Mathematics , Linear and Multilinear Algebras, Matrix Theory , Ordinary Differential Equations , Operator Theory
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Call number:SPRINGER-2016-9783319312811:ONLINE Show nearby items on shelf
Title:Mathematical Analysis, Approximation Theory and Their Applications
Author(s):
Date:2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-31281-1
Contents:A brief history of the Favard operator and its variants -- Bivariate extension of linear positive operators -- Positive Green’s Functions for Boundary Value Problems with Conformable Derivatives -- The retraction-displacement condition in the theo ry of fixed point equation with a convergent iterative algorithm -- An adaptive finite element method for solving a free boundary problem with periodic boundary conditions in lubrication theory -- Evolution solutions of equilibrium problems - a computatio nal approach -- Cantor, Banach and Baire theorems in generalized metric spaces -- A Survey of Perturbed Ostrowski Type Inequalities -- Hyers-Ulam-Rassias stability of the generalized Wilson’s functional equation -- Approximation under Exponential Growth Conditions by Szász and Baskakov Type Operators in the Complex Plane -- On the asymptotic behavior of sequences of positive linear approximation operators -- Approximation of functions by additive and by quadratic mappings -- Bernstein Type
Inequalities concerning Growth of Polynomials -- Approximation for generalization of Baskakov-Durrmeyer operators -- A Tour on p (x)-Laplacian Problems When p = ∞ -- An umbral calculus approach to Bernoulli-Padé polynomials -- Hadamard Matrices: Insights into their growth factor and determinant computations -- Localized summability kernels for Jacobi expansions -- Quadrature rules with multiple nodes -- A -summability of sequences of linear conservative operators -- Simultaneous Weighted Approxim ation with Multivariate Baskakov-Schurer Operators -- Approximation of Discontinuous Functions by q-Bernstein Polynomials -- Nests, and their Role in the Orderability Problem -- Resolvent Operators for Some Classes of Integro-Differential Equations -- Com ponent Matrices of a Square Matrix and their Properties -- Solutions of Some Types of Differential Equations and of Their Associated Physical Problems by Means of Inverse Differential Operators -- A modified pointwise estimate on simultaneous
approximation by Bernstein polynomials -- Structural Fixed Point Results in Metric Spaces -- Models of Fuzzy Linear Regression: An Application in Engineering -- Properties of Functions of generalized bounded variations
ISBN:9783319312811
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Optimization and Its Applications: 111
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Special functions , Computer mathematics , Calculus of variations , Mathematics , Calculus of Variations and Optimal Control Optimization , Operator Theory , Special Functions , Global Analysis and Analysis on Manifolds , Computational Mathematics and Numerical Analysis
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Call number:SPRINGER-2016-9783319309675:ONLINE Show nearby items on shelf
Title:Writing Proofs in Analysis
Author(s): Jonathan M Kane
Date:2016
Size:1 online resource (4 p.)
Note:10.1007/978-3-319-30967-5
Contents:What Are Proofs, And Why Do We Write Them? -- The Basics of Proofs -- Limits -- Continuity -- Derivatives -- Riemann Integrals -- Infinite Series -- Sequences of Functions -- Topology of the Real Line -- Metric Spaces
ISBN:9783319309675
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Fourier analysis , Functional analysis , Mathematical logic , Mathematics , Functional Analysis , Fourier Analysis , Mathematical Logic and Foundations
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Call number:SPRINGER-2016-9783319291161:ONLINE Show nearby items on shelf
Title:Noncommutative Analysis, Operator Theory and Applications
Author(s):
Date:2016
Size:1 online resource (2 p.)
Note:10.1007/978-3-319-29116-1
Contents:Preface -- Pimsner algebras and noncommutative circle bundles -- A fractional Dirac operator -- On the Sylvester equation over quaternions -- The Essential Centre of the mod a Diagonalization Ideal Commutant of an n-tuple of Commuting Hermitian Ope rators -- Clifford-Hermite polynomials in fractional Clifford analysis -- Negative definite functions on groups with polynomial growth -- An introduction to superoscillatory sequences -- Restriction and factorization for isometric and symmetric operators in almost Pontryagin spaces -- Measurements vs Interactions: tracks in a Wilson cloud chamber -- The radii problems for holomorphic mappings in J∗-algebras -- Lévy Processes on Quantum Permutation Groups -- New results on old spectral triples for fract als -- Why are Orlicz spaces useful for Statistical Physics?
ISBN:9783319291161
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Operator Theory: Advances and Applications: 252
Keywords: Mathematics , Functional analysis , Global analysis (Mathematics) , Manifolds (Mathematics) , Operator theory , Mathematics , Functional Analysis , Operator Theory , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319290751:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence II Simple and Multiple Summability
Author(s): Michèle Loday-Richaud
Date:2016
Size:1 online resource (272 p.)
Note:10.1007/978-3-319-29075-1
Contents:Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems - - 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References
ISBN:9783319290751
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2154
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Difference and Functional Equations , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319290003:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence III Resurgent Methods and the First Painlevé Equation
Author(s): Eric Delabaere
Date:2016
Size:1 online resource (14 p.)
Note:10.1007/978-3-319-29000-3
Contents:Avant-Propos -- Preface to the three volumes -- Preface to this volume -- Some elements about ordinary differential equations -- The first Painlevé equation -- Tritruncated solutions for the first Painlevé equation -- A step beyond Borel-Laplace summability -- Transseries and formal integral for the first Painlevé equation -- Truncated solutions for the first Painlevé equation -- Supplements to resurgence theory -- Resurgent structure for the first Painlevé equation -- Index
ISBN:9783319290003
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2155
Keywords: Mathematics , Functions of complex variables , Differential equations , Sequences (Mathematics) , Special functions , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Functions of a Complex Variable , Special Functions
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Call number:SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf
Title:Computational Analysis AMAT, Ankara, May 2015 Selected Contributions
Author(s):
Date:2016
Size:1 online resource (396 p.)
Note:10.1007/978-3-319-28443-9
Contents:Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.).
ISBN:9783319284439
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 155
Keywords: Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions
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Call number:SPRINGER-2016-9783319284002:ONLINE Show nearby items on shelf
Title:Introduction to Calculus and Classical Analysis
Author(s): Omar Hijab
Date:2016
Edition:4th ed. 2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-28400-2
Contents:Preface -- A Note to the Reader -- 1. The Set of Real Numbers -- 2. Continuity -- 3. Differentiation.-4. Integration -- 5. Applications -- 6. Generalizations -- A. Solutions -- References -- Index
ISBN:9783319284002
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Approximation theory , Sequences (Mathematics) , Special functions , Combinatorics , Mathematics , Approximations and Expansions , Sequences, Series, Summability , Special Functions , Combinatorics
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Call number:SPRINGER-2016-9783319281063:ONLINE Show nearby items on shelf
Title:University of Toronto Mathematics Competition (2001–2015)
Author(s): Edward J Barbeau
Date:2016
Size:1 online resource (1 p.)
Note:10.1007/978-3-319-28106-3
Contents:Preface -- 1. Problems of the Contests -- 2. Algebra -- 3. Inequalities -- 4. Sequences and Series -- 5. Calculus and its Applications -- 6. Other Topics in Analysis -- 7. Linear Algebra -- 8. Geometry -- 9. Group Theory -- 10. Combinatorics and Fi nite Mathematics -- 11. Number Theory -- Appendix A: Definitions, Conventions, Notation, and Basics -- Appendix B: Top-Ranking Students -- Index.
ISBN:9783319281063
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Group theory , Differential equations , Functions of real variables , Geometry , Mathematics , Real Functions , Geometry , Group Theory and Generalizations , Ordinary Differential Equations
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Call number:SPRINGER-2016-9783319278070:ONLINE Show nearby items on shelf
Title:Advanced Calculus of a Single Variable
Author(s): Tunc Geveci
Date:2016
Size:1 online resource (77 p.)
Note:10.1007/978-3-319-27807-0
Contents:Preface -- Real Numbers, Sequences and Limits -- Limits and Continuity of Functions -- The Derivative -- The Riemann Integral -- Infinite Series -- Sequences and Series of Functions. Index.
ISBN:9783319278070
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Integral transforms , Operational calculus , Mathematics , Integral Transforms, Operational Calculus , Functional Analysis
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Call number:SPRINGER-2016-9783319256139:ONLINE Show nearby items on shelf
Title:An Introduction to Frames and Riesz Bases
Author(s): Ole Christensen
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (5 p.)
Note:10.1007/978-3-319-25613-9
Contents:Frames in Finite-dimensional Inner Product Spaces -- Infinite-dimensional Vector Spaces and Sequences -- Bases -- Bases and their Limitations -- Frames in Hilbert Spaces -- Tight Frames and Dual Frame Pairs -- Frames versus Riesz Bases -- Selected Topics in Frame Theory -- Frames of Translates -- Shift-Invariant Systems in l2(R) -- Gabor Frames in L2(R) -- Gabor Frames and Duality -- Selected Topics on Gabor Frames -- Gabor Frames in ℓ2(Z),L2(0,L),CL -- General Wavelet Frames in L2(R) -- Dyadic W avelet Frames for L2(R) -- Frame Multiresolution Analysis -- Wavelet Frames via Extension Principles -- Selected Topics on Wavelet Frames -- Generalized Shift-Invariant Systems in L2(Rd) -- Frames on Locally Compact Abelian Groups -- Perturbation of Frame s -- Approximation of the Inverse Frame Operator -- Expansions in Banach Spaces. Appendix
ISBN:9783319256139
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Functional analysis , Operator theory , Mathematics , Functional Analysis , Abstract Harmonic Analysis , Operator Theory , Signal, Image and Speech Processing
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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-2016-9783319234885:ONLINE Show nearby items on shelf
Title:Homotopical Topology
Author(s): Anatoly Fomenko
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (627 p.)
Note:10.1007/978-3-319-23488-5
Contents:Introduction -- Homotopy -- Homology -- Spectral Sequences of Fibrations -- Cohomology Operations -- The Adams Spectral Sequence -- K-Theory and Other Extraordinary Cohomology Theories
ISBN:9783319234885
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Graduate Texts in Mathematics: 273
Keywords: Mathematics , Category theory (Mathematics) , Homological algebra , K-theory , Algebraic topology , Mathematics , Category Theory, Homological Algebra , K-Theory , Algebraic Topology
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Call number:SPRINGER-2014-9788132218869:ONLINE Show nearby items on shelf
Title:Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations [electronic resource]
Author(s): Jzef Bana
Mohammad Mursaleen
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications. The notion of measure of noncompactness is one of the most useful ones available and has manyapplications. Thebookdi scusses some of the existence results for various types of differential and integral equations with the help of measures of noncompactness in particular, the Hausdorff measure of noncompactness has beenapplied to obtain necessary and sufficient conditions for matrix operators between BK spaces to be compact operators. Thebookconsists of eight self-contained chapters. Chapter 1 discussesthe theory of FK spaces andChapter2various duals of sequence spaces, which are used to characterize the matrix classes be tween these sequence spaces (FK and BK spaces) in Chapters 3 and 4. Chapter 5 studies the notion of a measure of noncompactness and its properties.The techniques associated with measures of noncompactness are applied to characterize the compact matrix ope rators in Chapters 6. In Chapters 7 and 8, some of the existence results are discussed for various types of differential andintegral equations, which are obtained with the help of argumentations based on compactness conditions
Contents:Chapter 1. Introduction to FK spaces
Chapter 2. Matrix Transformations
Chapter 3. Some new sequence spaces of non
absolute type
Chapter 4. Some non
classical sequence spaces
Chapter 5. Measures of noncompactness
Chapter 6. Application to compact matrix operators
Chapter 7. Applications to infinite systems of differential equations
Chapter 8. Applications to integral equations
ISBN:9788132218869
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Integral equations , Operator theory , Differential Equations , Differential equations, partial , Sequences (Mathematics)
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Call number:SPRINGER-2014-9788132216476:ONLINE Show nearby items on shelf
Title:An Introduction to Ultrametric Summability Theory [electronic resource]
Author(s): P.N Natarajan
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:Ultrametric analysis has emerged as an important branch of mathematics in recent years. This book presents, for the first time, a brief survey of the research to date in ultrametric summability theory, which is a fusion of aclassical branch of mathem atics (summability theory) with a modern branch of analysis (ultrametric analysis). Several mathematicians have contributed to summability theory as well as functional analysis. The book will appeal to bothyoung researchers and more experienced mathematic ians who are looking to explore new areas in analysis
Contents:Preface
Introduction and Preliminaries
Some Arithmetic and Analysis in Qp : Derivatives in Ultrametric Analysis
Ultrametric Functional Analysis
Ultrametric Summability Theory
References
Index
ISBN:9788132216476
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Sequences (Mathematics)
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Call number:SPRINGER-2014-9788132216117:ONLINE Show nearby items on shelf
Title:Convergence Methods for Double Sequences and Applications [electronic resource]
Author(s): M Mursaleen
S.A Mohiuddine
Date:2014
Publisher:New Delhi : Springer India : Imprint: Springer
Size:1 online resource
Note:This book exclusively deals with the study of almost convergence and statistical convergence of double sequences. The notion of almost convergence is perhaps the most useful notion in order to obtain a weak limit of abounded non-convergent sequence. There is another notion of convergence known as the statistical convergence, introduced by H. Fast, which is an extension of the usual concept of sequential limits. This concept arises as anexample of convergence in density which is also studied as a summ ability method. Even unbounded sequences can be dealt with by using this method. The book also discusses the applications of these non-matrix methods inapproximation theory. Written in a self-contained style, the book discusses in detail the methods of al most convergence and statistical convergence for double sequences along with applications and suitable examples. The last chapter isdevoted to the study convergence of double series and describes various convergence tests analogous to those of single sequ ences. In addition to applications in approximation theory, the results are expected to find application in manyother areas of pure and applied mathematics such as mathematical analysis, probability, fixed point theory and statistics
Contents:Chapter 1: Almost and statistical convergence of ordinary sequences: A preview
Chapter 2: Almost convergence of double sequences
Chapter 3: Almost regular matrices
Chapter 4: Absolute almost convergence of double sequences
Chapter 5: Almost convergence and core theorems
Chapter 6: Application of almost convergence in approximation theorems for functions of two variables
Chapter 7: Statistical convergence of double sequences
Chapter 8: Statistical approximation of positive linear operators
Chapter 9: Double series and convergence tests
References
ISBN:9788132216117
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Sequences (Mathematics)
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Call number:SPRINGER-2014-9784431551089:ONLINE Show nearby items on shelf
Title:Weakly Wandering Sequences in Ergodic Theory [electronic resource]
Author(s): Stanley Eigen
Arshag Hajian
Yuji Ito
Vidhu Prasad
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant anddeep properties of ergo dic transformations that preserve an infinite measure. This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinitemeasure. Connections of these sequences to additi ve number theory and tilings of the integers are also discussed. The material presented is self-contained and accessible to graduate students. A basic knowledge of measure theory isadequate for the reader
ISBN:9784431551089
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Number theory
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Call number:SPRINGER-2014-9783662441404:ONLINE Show nearby items on shelf
Title:Theory and Applications of Difference Equations and Discrete Dynamical Systems [electronic resource] : ICDEA, Muscat, Oman, May 26 - 30, 2013
Author(s): Ziyad AlSharawi
Jim M Cushing
Saber Elaydi
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices inthe theory and appli cations of difference equations and discrete dynamical systems. The volume features papers in difference equations and discrete time dynamical systems with applications to mathematical sciences and, in particular,mathematical biology, ecology, and epidemi ology. It includes four invited papers and eight contributed papers. Topics covered include: competitive exclusion through discrete time models, Benford solutions of linear differenceequations, chaos and wild chaos in Lorenz-type systems, advances in peri odic difference equations, the periodic decomposition problem, dynamic selection systems and replicator equations, and asymptotic equivalence of differenceequations in Banach Space. This book will appeal to researchers, scientists, and educators who work in the fields of difference equations, discrete time dynamical systems and their applications.
Contents:Papers by Invited Speakers: Competitive exclusion through discrete time models: Azmy S. Ackleh and Paul L. Salceanu
Benford solutions of linear difference equations: Arno Berger and Gideon Eshun
Harvesting and dynamics in some one
dimensional population models: Eduardo Liz and Frank M. Hilker
Chaos and wild chaos in Lorenz
type systems: Hinke M. Osinga, Bernd Krauskopf and Stefanie Hittmeyer
Contributed Papers: Almost automorphic sequences and their application to a model of cellular neural network: Syed Abbas
Advances in periodic difference equations with open problems: Ziyad A
ISBN:9783662441404
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v102
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Differentiable dynamical systems , Genetics Mathematics
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Call number:SPRINGER-2014-9783642549595:ONLINE Show nearby items on shelf
Title:A Primer on Scientific Programming with Python [electronic resource]
Author(s): Hans Petter Langtangen
Date:2014
Edition:4th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics,numerical calculus, st atistics, physics, biology and finance. The book teaches Matlab-style and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageousto study classical and numerical one-variable c alculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of scienceand engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objectsand functions and embracing the object-oriented paradigm. Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python on the streets could be alittle jealous of students who have the opportunity to take a course out of Langtangens Primer. John D. Cook, The Mathematical Association of Am erica, September 2011 This book goes through Python in particular, and programmingin general, via tasks that scientists will likely perform. It contains valuable informationfor students new to scientific computing and would be the perfect bridge between a n introduction to programming and an advanced course onnumerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March/April 2012
Contents:Preface
Computing with Formulas
Loops and Lists
Functions and Branching
User Input and Error Handling
Array Computing and Curve Plotting
Dictionaries and Strings
Introduction to Classes
Random Numbers and Simple Games
Object
Oriented Programming
Sequences and Difference Equations
Introduction to Discrete Calculus
Introduction to Differential Equations
A Complete Differential Equation Project
Programming of Differential Equations
Debugging
Migrating Python to Compiled Code
Technical Topics
Bibliography
Index
ISBN:9783642549595
Series:eBooks
Series:SpringerLink
Series:Texts in Computational Science and Engineering, 1611-0994 : v6
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Software engineering , Computer science
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Call number:SPRINGER-2014-9783319064048:ONLINE Show nearby items on shelf
Title:Approximation Theory XIV: San Antonio 2013 [electronic resource]
Author(s): Gregory E Fasshauer
Larry L Schumaker
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This volume developed from papers presented at the international conference Approximation Theory XIV, held April 710, 2013 in San Antonio, Texas. The proceedings contains surveys by invited speakers, covering topics such assplines on non-tensor-produ ct meshes, Wachspress and mean value coordinates, curvelets and shearlets, barycentric interpolation, and polynomial approximation on spheres and balls. Other contributed papers address a variety of currenttopics in approximation theory, including eigenva lue sequences of positive integral operators, image registration, and support vector machines. This book will be of interest to mathematicians, engineers, and computer scientists workingin approximation theory, computer-aided geometric design, numerical a nalysis, and related approximation areas
Contents:Isogeometric Method for the Elliptic Monge
Ampre Equation
Dual Compatible Splines on non Tensor Product Meshes
Multivariate Anisotropic Interpolation on the Torus
A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery
On a New Proximity Condition for Manifold
Valued Subdivision Schemes
Wachspress and Mean Value Coordinates
Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes
Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration
Parabolic Molecules: Curvelets, Shearlets and Beyon
ISBN:9783319064048
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v83
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2014-9783319060743:ONLINE Show nearby items on shelf
Title:Functional Analysis and Applied Optimization in Banach Spaces [electronic resource] : Applications to Non-Convex Variational Models
Author(s): Fabio Botelho
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physicsand engineering probl ems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems presented are nonlinear, with non-convex variational formulation.Notably, the primal global minima may not be attained in some situations, in which cases the solution of the dual problem corresponds to an appropriate weak cluster point of minimizing sequences for the primal one. Indeed, the dualapproach more readily facilitates numerical computations for some of the selected models. While intended primarily for applied mathematicians, the text will also be of interest to engineers, physicists, and other researchers in relatedfields
Contents:1. Topological Vector Spaces
2. The Hahn
Bananch Theorems and Weak Topologies
3. Topics on Linear Operators
4.Basic Results on Measure and Integration
5. The Lebesgue Measure in Rn
6. Other Topics in Measure and Integration
7. Distributions
8. The Lebesque and Sobolev Spaces
9. Basic Concepts on the Calculus of Variations
10. Basic Concepts on Convex Analysis
11. Constrained Variational Analysis
12. Duality Applied to Elasticity
13. Duality Applied to a Plate Model
14. About Ginzburg
Landau Type Equations: The Simpler Real Case
15. Full Complex Ginzb
ISBN:9783319060743
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Fourier analysis , Functional analysis , Numerical analysis
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Call number:SPRINGER-2014-9783319046099:ONLINE Show nearby items on shelf
Title:Applied Summability Methods [electronic resource]
Author(s): M Mursaleen
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This short monograph is the first book to focus exclusively on the study of summability methods, which have become active areas of research in recent years. The book provides basic definitions of sequence spaces, matrixtransformations, regular matric es and some special matrices, making the material accessible to mathematicians who are new to the subject.Among the coreitems covered are the proof of the Prime Number Theorem using Lambert'ssummability and Wiener's Tauberian theorem, some results on summ ability tests for singular points of an analytic function, andanalytic continuation through Lototski summability.Almost summability is introduced to proveKorovkin-type approximation theorems and the last chapters feature statistical summability, statistic al approximation, and some applications of summability methods in fixed point theorems
Contents:Toeplitz Matrices
Lambert Summability and the Prime Number Theorem
Summability Tests for Singular Points
Lototski Summability and Analytic Continuation
Summability Methods for Random Variables
Almost Summability
Almost Summability of Taylor Series
Matrix Summability of Fourier and Walsh
Fourier Series
Almost Convergence in Approximation Process
Statistical Summability
Statistical Approximation
Applications to fixed point theorems
Bibliography
Index
ISBN:9783319046099
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Sequences (Mathematics) , Number theory
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Call number:SPRINGER-2014-9783319039404:ONLINE Show nearby items on shelf
Title:The Liber mahameleth [electronic resource] : A 12th-century mathematical treatise
Author(s): Jacques Sesiano
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain. It is now our principal source on mathematics in Islamic Spain at that time There are few extant Arabictexts and no one is as complete as the LM. It is also the second largest mathematical work from the Latin Middle Ages (the other is by Fibonacci, some 50 years later). Since the three main manuscripts preserving it are incomplete andthere are many scribal errors, a reliable La tin text has been established, which reports (in notes) the various readings of the manuscripts and the errors in them. This is how a so-called critical edition is made. This edition of theLatin text is preceded by General Introduction, describing the var ious manuscripts, the content of the work and what we know about its author. Part Two of the volume is a translation of the text and ends with a glossary of Latin terms.The glossary will be of great importance for the knowledge of Latin scientific terms f rom that time, since there is no other mathematical text of this size from the 12th century.Part Three begins with a short introduction and thenanalyzes all the problems from the text, with a summary of the mathematical methods involved in each chapter. T he commentary is a companion to the translation and explains the author's solving methods
Contents:Part I
1. The rebirth of mathematics in mediaeval Europe
2. The Liber mahameleth
3. Manuscripts of the Liber mahameleth
4. Transmission of the Liber mahameleth
5. Mathematics in the Liber mahameleth
6. The edited Latin text
Part II
Translation
Beginning of the Book (on) mahameleth
A
I. on Numbers
A
II. on the Premisses necessary for practical arithmetic
A
III. on Multiplication
A
IV. on Division
A
V. on the Multiplication of fractions
A
VI. on the Addition of fractions to fractions
A
VII. on Subtracting
A
VIII. on the Division of fractions, wi
ISBN:9783319039404
Series:eBooks
Series:SpringerLink
Series:Sources and Studies in the History of Mathematics and Physical Sciences, 2196-8810
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Sequences (Mathematics) , Geometry
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Call number:SPRINGER-2014-9783319025506:ONLINE Show nearby items on shelf
Title:Fourier Analysis [electronic resource] : Pseudo-differential Operators, Time-Frequency Analysis and Partial Differential Equations
Author(s): Michael Ruzhansky
Ville Turunen
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, andtime-frequency analysis. This coll ection of 20 refereed articles is based on selected talksgiven at the international conference Fourier Analysis and Pseudo-Differential Operators, June 2530, 2012, at Aalto University,Finland, and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012 it was also the 6th meeting in the series FourierAnalysis and Partial Differential Equations.
Contents:Preface
Contributions by N. Bez, M. Sugimoto, Tang Bao Ngoc Bui, M. Reissig, F. Colombini, D. Del Santo, F. Fanelli, G. Metivier, E. Cordero, F. Nicola, L. Rodino, S. Coriasco, K. Johansson, J. Toft, V. Fischer, M. Ruzhansky, G.Garello, A. Morando, D. Grieser, E. Hunsicker, N. Habal, W. Rungrottheera, B
W. Schulze, C. Iwasaki, B. Kanguzhin, N. Tokmagambetov, S. Katayama, H. Kubo, M. Lassas, T. Zhou, T. Matsuyama, T. Nishitani, S. Serovajsky, K. Shakenov, S. Tikhonov, M. Zeltser, Y. Wakasugi, K. Yagdjian.
ISBN:9783319025506
Series:eBooks
Series:SpringerLink
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Global analysis , Operator theory , Differential equations, partial , Sequences (Mathematics)
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Call number:SPRINGER-2014-9783034808163:ONLINE Show nearby items on shelf
Title:Operator Theory, Operator Algebras and Applications [electronic resource]
Author(s): M. Amlia Bastos
Amarino Lebre
Stefan Samko
Ilya M Spitkovsky
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This book consists of research papers that cover the scientific areas of the International Workshop on Operator Theory, Operator Algebras and Applications, held in Lisbon in September 2012. The volume particularly focuses on (i)operator theory and ha rmonic analysis (singular integral operators with shifts pseudodifferential operators, factorization of almost periodic matrix functions inequalities Cauchy type integrals maximal and singular operators ongeneralized Orlicz-Morrey spaces the Riesz potenti al operator modification of Hadamard fractional integro-differentiation), (ii) operator algebras (invertibility in groupoid C*-algebras inner endomorphisms of some semi group,crossed products C*-algebras generated by mappings which have finite orbits Foln er sequences in operator algebras arithmetic aspect of C*_r SL(2) C*-algebras of singular integral operators algebras of operator sequences) and (iii)mathematical physics (operator approach to diffraction from polygonal-conical screens Poisson geometry of difference Lax operators)
Contents:Flner Sequences in Operator Theory and Operator Algebras
On the Factorization of Some Block Triangular Almost Periodic Matrix Functions
A C
algebra of Singular Integral Operators with Shifts Similar to Affine Mappings
On Cauchy Type Integrals Related to the Cimmino System of Partial Differential Equations
Singular Integral Operators with Linear Fractional Shifts on the Unit Circle
Diffraction from Polygonal
Conical Screens, An Operator Approach
Boundedness of the Maximal and Singular Operators on Generalized Orlicz
Morrey Spaces
On a Question by Markus Seidel
Inver
ISBN:9783034808163
Series:eBooks
Series:SpringerLink
Series:Operator Theory: Advances and Applications, 0255-0156 : v242
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Differential equations, partial
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Call number:SPRINGER-2014-9783034806220:ONLINE Show nearby items on shelf
Title:Real Quaternionic Calculus Handbook [electronic resource]
Author(s): Joo Pedro Morais
Svetlin Georgiev
Wolfgang Sprig
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, suchas complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysishas become a well established branch in ma thematics and has been greatly successful in many different directions. This book is based onconcrete examples and exercises rather than general theorems, thus making it suitable for anintroductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises atthe end of each chapter and its straightforward writing style the book addresses readers w ho have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis,ordinary differential equations, partial differential equations, and theory of distributions
Contents:1 An introduction to quaternions
2 Quaternions and spatial rotation
3 Quaternion sequences
4 Quaternion series and infinite products
5 Exponents and logarithms
6 Trigonometric functions
7 Hyperbolic functions
8 Inverse hyperbolic and trigonometric functions
9 Quaternion matrices
10 Monomials, polynomials and binomials
11 Solutions
Bibliography
Index
ISBN:9783034806220
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Algebra , Functions of complex variables , Combinatorics , Geometry
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Call number:SPRINGER-2014-9783034805544:ONLINE Show nearby items on shelf
Title:Looking at Numbers [electronic resource]
Author(s): Tom Johnson
Franck Jedrzejewski
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Galileo Galilei said he was reading the book of nature as he observed pendulums swinging, but he might also simply have tried to draw the numbers themselves as they fall into networks of permutations or form loops thatsynchronize at different speeds, or attach themselves to balls passing in and out of the hands of good jugglers. Numbers are, after all, a part of nature. As such, looking at and thinking about them is a way of understanding ourrelationship to nature. But when we do so in a technical, p rofessional way, we tend to overlook their basic attributes, the things we can understand by simply looking at numbers. Tom Johnson is a composer who uses logic andmathematical models, such as combinatorics of numbers, in his music. The patterns he finds while looking at numbers can also be explored in drawings. This book focuses on such drawings, their beauty and their mathematicalmeaning. The accompanying comments were written in collaboration with the mathematician Franck Jedrzejewski
Contents:Introduction
1. Permutations
1.1 Symmetric Group
1.2 Bruhat Order
1.3 Euler Characteristic
1.4 Group Action
1.5 Permutohedra and Cayley Graphs
1.6 Coxeter Groups
1.7 Homometric Sets
2. Sums
2.1 Integer Partitions
References
3. Subsets
3.1 Combinatorial Designs
4 Kirkmans Ladies, a Combinatorial Design
4.1 Steiner and Kirkman Systems
5. Twelve
5.1 (12,4,3)
6. (9,4,3)
6.1 Decomposition of Block Designs
7. 55 Chords
7.1 Chords and Designs
8. Clarinet Trio
8.1 Strange Fractal Sequences
9. Loops
9.1 Self
Replicating Melodie
ISBN:9783034805544
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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Call number:SPRINGER-2014-9781493902583:ONLINE Show nearby items on shelf
Title:Analytic Number Theory, Approximation Theory, and Special Functions [electronic resource] : In Honor of Hari M. Srivastava
Author(s): Gradimir V Milovanovi
Michael Th Rassias
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book, in honor of Hari M. Srivastava, discusses essential developments in mathematical research in a variety of problems. It contains thirty-five articles, written by eminent scientists from the international mathematicalcommunity, including bot h research and survey works. Subjects covered include analytic number theory, combinatorics, special sequences of numbers and polynomials, analytic inequalities and applications, approximation of functions andquadratures, orthogonality, and special and co mplex functions. The mathematical results and open problems discussed in this book are presented in a simple and self-contained manner. The book contains an overview of old and new results,methods, and theories toward the solution of longstanding problems in a wide scientific field, as well as new results in rapidly progressing areas of research. The book will be useful for researchers and graduate students in the fieldsof mathematics, physics, and other computational and applied sciences
Contents:Part I. Analytic Number Theory, Combinatorics, and Special Sequences of Numbers and Polynomials
The mean values of the Riemann Zeta function on the critical line (A. Ivi)
Explicit bounds concerning non
trivial zeros of the Riemann Zeta function (M. Hassani)
On the value
distribution of logarithmic derivatives of Dirichlet L
functions (Y. Ihara, K. Matsumoto)
Multiple Gamma functions and their applications (J. Choi)
On partition functions of hyperbolic three
geometry and associated Hilbert schemes (A.A. Bytsenko and E. Elizalde)
Families of twisted Bernoulli numbers, twisted
ISBN:9781493902583
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional equations , Functional analysis , Number theory
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Call number:SPRINGER-2014-9781461496380:ONLINE Show nearby items on shelf
Title:Real Analysis for the Undergraduate [electronic resource] : With an Invitation to Functional Analysis
Author(s): Matthew A Pons
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis.While these advanced t opics are not typically encountered until graduate study, the text is designed for the beginner. The authors engaging style makes advanced topics approachable without sacrificing rigor. The text alsoconsistently encourages the reader to pick up a pencil a nd take an active part in the learning process. Key features include: - examples to reinforce theory - thorough explanations preceding definitions, theorems and formal proofs -illustrations to support intuition - over 450 exercises designed to develop con nections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delvedeeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate cu rriculum
Contents:The Real Numbers
Sequences in R
Numerical Series
Continuity
The Derivative
Sequence and Series of Functions
The Riemann Integral
Lebesgue Measure on R
Lebesgue Integration
ISBN:9781461496380
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis
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Call number:SPRINGER-2014-9781461496021:ONLINE Show nearby items on shelf
Title:Analysis of Neural Data [electronic resource]
Author(s): Robert E Kass
Uri T Eden
Emery N Brown
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Continual improvements in data collection and processing have had a huge impact on brain research, producing data sets that are often large and complicated. By emphasizing a few fundamental principles, and a handful of ubiquitoustechniques, Analysis of Neural Data provides a unified treatment of analytical methods that have become essential for contemporary researchers. Throughout the book ideas are illustrated with more than 100 examples drawn from theliterature, ranging from electrophysiology, to n euroimaging, to behavior. By demonstrating the commonality among various statistical approaches the authors provide the crucial tools for gaining knowledge from diverse types of data.Aimed at experimentalists with only high-school level mathematics, as we ll as computationally-oriented neuroscientists who have limited familiarity with statistics, Analysis of Neural Data serves as both a self-contained introductionand a reference work
Contents:Introduction
Exploring Data
Probability and Random Variables
Random Vectors
Important Probability Distributions
Sequences of Random Variables
Estimation and Uncertainty
Estimation in Theory and Practice
Uncertainty and the Bootstrap
Statistical Significance
General Methods for Testing Hypotheses
Linear Regression
Analysis of Variance
Generalized Regression
Nonparametric Regression
Bayesian Methods
Multivariate Analysis
Time Series
Point Processes
Appendix: Mathematical Background
Example Index
Index
Bibliography
ISBN:9781461496021
Series:eBooks
Series:SpringerLink
Series:Springer Series in Statistics, 0172-7397
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Neurosciences , Mathematical statistics , Psychology, clinical
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Call number:SPRINGER-2014-9781461491613:ONLINE Show nearby items on shelf
Title:Nonlinear Maps and their Applications [electronic resource] : Selected Contributions from the NOMA 2011 International Workshop
Author(s): Clara Grcio
Daniele Fournier-Prunaret
Tetsushi Ueta
Yoshifumi Nishio
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics,biology, or can also be obta ined via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists.This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2011) held in vora, Portugal, on September 15-16, 2011. This kind of collaborative effort is of paramountimportance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well asresearchers in the field
Contents:J. P. Almeida A. A. Pinto D. A. Rand, Renormalization of circlediffeomorphism sequences and Markov sequences
F. Balibrea M. V. Caballero, Examples of Lyapunov exponents in two dimensional systems
R. A. da Costa S. N. Dorogovtsev A.V. Goltsev J. F. F. Mendes, Characteristics of the explosive percolation transition
E. S. Roberts A. Annibale A. C. C. Coolen, Controlled Markovian dynamics of graphs: unbiased generation of random graphs with prescribed topological properties
G. Bettencourt, A case leading to rationalist of the drift
L. S. Efremova, Remarks on the nonwanderi
ISBN:9781461491613
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v57
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems
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Call number:SPRINGER-2014-9781461490388:ONLINE Show nearby items on shelf
Title:Infinite-Horizon Optimal Control in the Discrete-Time Framework [electronic resource]
Author(s): Jol Blot
Nala Hayek
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:In this bookthe authors takea rigorous look at the infinite-horizon discrete-time optimalcontrol theory from the viewpoint of Pontryagins principles. Several Pontryagin principles are described which govern systems andvarious criteria which define th e notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given whichgeneralize Pontryagins principles to multi-criteria prob lems. Infinite-Horizon Optimal Control in the Discrete-Time Frameworkis aimed toward researchers and PhD students in various scientific fields such as mathematics,applied mathematics, economics, management, sustainable development (such as, of fisheries a nd of forests), and Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems
Contents:1. Presentation of the problems and tools of the finite horizon
2. Infinite horizon theorems
3. The special case of the bounded processes
Related topics. Appendix A : Sequences
Appendix B: Static optimization
References
ISBN:9781461490388
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Mathematical optimization
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Call number:SPRINGER-2014-9780817684129:ONLINE Show nearby items on shelf
Title:Advanced Calculus [electronic resource] : A Differential Forms Approach
Author(s): Harold M Edwards
Date:2014
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:In a book written for mathematicians, teachers of mathematics, and highly motivated students, Harold Edwards has taken a bold and unusual approach to the presentation of advanced calculus. He begins with a lucid discussion ofdifferential forms and qu ickly moves to the fundamental theorems of calculus and Stokes theorem. The result is genuine mathematics, both in spirit and content, and an exciting choice for an honors or graduate course or indeed forany mathematician in need of a refreshingly informa l and flexible reintroduction to the subject. For all these potential readers, the author has made the approach work in the best tradition of creative mathematics. This affordablesoftcover reprint of the 1994 editionpresents the diverse set of topics fro m which advanced calculus courses are created in beautiful unifying generalization. The author emphasizes the use of differential forms in linear algebra,implicit differentiation in higher dimensions using the calculus of differential forms, and the metho d of Lagrange multipliers in a general but easy-to-use formulation. There are copious exercises to help guide the reader in testingunderstanding. The chapters can be read in almost any order, including beginning with the final chapter that contains some o f the more traditional topics of advanced calculus courses. In addition, it is ideal for a course on vectoranalysis from the differential forms point of view. The professional mathematician will find here a delightful example of mathematical literature t he student fortunate enough to have gone through this book will have a firm grasp ofthe nature of modern mathematics and a solid framework to continue to more advanced studies. The most important featureis that it is funit is fun to read the exercises, i t is fun to read the comments printed in the margins, itis fun simply to pick a random spot in the book and begin reading. This is the way mathematics should be presented, with an exci
Contents:Constant Forms
Integrals
Integration and Differentiation
Linear Algebra
Differential Calculus
Integral Calculus
Practical Methods of Solution
Applications
Further Study of Limits
Appendices
Answers to Exercises
Index
ISBN:9780817684129
Series:eBooks
Series:SpringerLink
Series:Modern Birkhuser Classics, 2197-1803
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Sequences (Mathematics)
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Call number:SPRINGER-2013-9789491216862:ONLINE Show nearby items on shelf
Title:Single Variable Differential and Integral Calculus [electronic resource] : Mathematical Analysis
Author(s): Elimhan Mahmudov
Date:2013
Publisher:Paris : Atlantis Press : Imprint: Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book Single variable Differential and Integral Calculus is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book isunique in the field of mathemat ical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important businessfields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequencesof functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems andexamples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Sti eltjes and Lebesque integrals are studied together and compared
Note:Springer eBooks
Contents:Introduction to Numbers and Set Theory
Sequences and Series
Limits and Continuity of Functions
Differential Calculus
Some Basic Properties of Differentiable Functions
Polynomials and Interpolations
Applications of Differential Calculus to Limit Calculations and Extremum Problems
The Indefinite Integral
The Definite Integral
Applications of the Definite Integral
ISBN:9789491216862
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Global analysis (Mathematics) , Differential Equations
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Call number:SPRINGER-2013-9783642340352:ONLINE Show nearby items on shelf
Title:Composite Asymptotic Expansions [electronic resource]
Author(s): Augustin Fruchard
Reinhard Schfke
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these twovariables. Such composit e asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions nearturning points. Thus our approach is closely relat ed to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, aGevrey version of CAsEs is available and detailed in the lecture notes. T hree problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second applicationconcerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-OMalley resonance p roblem is solved
Note:Springer eBooks
Contents:Four Introductory Examples
Composite Asymptotic Expansions: General Study
Composite Asymptotic Expansions: Gevrey Theory
A Theorem of Ramis
Sibuya Type
Composite Expansions and Singularly Perturbed Differential Equations
Applications
Historical Remarks
References
Index
ISBN:9783642340352
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2066
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Sequences (Mathematics)
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Call number:SPRINGER-2013-9783642338717:ONLINE Show nearby items on shelf
Title:Regular Functions of a Quaternionic Variable [electronic resource]
Author(s): Graziano Gentili
Caterina Stoppato
Daniele C Struppa
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the internationalresearch community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable and its wide variety of applications are a strong motivation forthe study of its analogs in higher dimensi ons. In this respect, the four-dimensional case is particularly interesting due to its relevance in physics and its algebraic properties, as the quaternion forms the only associative realdivision algebra with a finite dimension n>2. Among other interestin g function theories introduced in the quaternionic setting, that of (slice) regular functions shows particularly appealing features. For instance, this class offunctions naturally includes polynomials and power series. The zero set of a slice regular func tion has an interesting structure, strictly linked to a multiplicative operation, and it allows the study of singularities. Integralrepresentation formulas enrich the theory and they are a fundamental tool for one of the applications, the construction of a noncommutative functional calculus. The volume presents a state-of-the-art survey of the theory and a briefoverview of its generalizations and applications. It is intended for graduate students and researchers in complex or hypercomplex analysis and geo metry, function theory, and functional analysis in general
Note:Springer eBooks
Contents:Introduction
1.Definitions and Basic Results
2.Regular Power Series
3.Zeros
4.Infinite Products
5.Singularities
6.Integral Representations
7.Maximum Modulus Theorem and Applications
8.Spherical Series and Differential
9.Fractional Transformations and the Unit Ball
10.Generalizations and Applications
Bibliography
Index
ISBN:9783642338717
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Functions of complex variables , Sequences (Mathematics)
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Call number:SPRINGER-2013-9783642316951:ONLINE Show nearby items on shelf
Title:Introduction to Stokes Structures [electronic resource]
Author(s): Claude Sabbah
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable nearan irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point ofview is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applicationsto the distributions solutions to such systems are also discu ssed, and various operations on Stokes-filtered local systems are analyzed
Note:Springer eBooks
ISBN:9783642316951
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2060
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Differential Equations , Differential equations, partial , Sequences (Mathematics)
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Call number:SPRINGER-2013-9783319004167:ONLINE Show nearby items on shelf
Title:Structural Additive Theory [electronic resource]
Author(s): David J Grynkiewicz
Date:2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Nestled between number theory, combinatorics, algebra, and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorialnumber theory. Its main ob jects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e. sumsets and subsequence sums. This text is a hybrid of a researchmonograph and an introductory graduate textbook. Wit h few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented withsome additional Algebra, rendering this book usable as an entry-level text . However, it will perhaps be of even more interest to researchers already in the field. The majority of material is not found in book form and includes many newresults as well. Even classical results, when included, are given in greater generality or usi ng new proof variations. The text has a particular focus on results of a more exact and precise nature, results with strong hypotheses andyet stronger conclusions, and on fundamental aspects of the theory. Also included are intricate results often neglect ed in other texts owing to their complexity. Highlights include an extensive treatment of Freiman Homomorphisms andthe Universal Ambient Group of sumsets A+B, an entire chapter devoted to Hamidounes Isoperimetric Method, a novel generalization allowing in finite summands in finite sumset questions, weighted zero-sum problems treated in thegeneral context of viewing homomorphisms as weights, and simplified proofs of the Kemperman Structure Theorem and the Partition Theorem for setpartitions.
Note:Springer eBooks
Contents:1. Abelian Groups and Character Sums
2. Introduction to Sumsets
3. Simple Results for Torsion
Free Abelian Groups
4. Basic Results for Sumsets with an Infinite Summand
5. The Pigeonhole and Multiplicity Bounds
6. Periodic Sets and Kneser's Theorem
7. Compression, Complements and the 3k4 Theorem
8. Additive Energy
9. Kemperman's Critical Pair Theory
10. Zero
Sums, Setpartitions and Subsequence Sums
11. Long Zero
Sum Free Sequencesover Cyclic Groups
12. Pollard's Theorem for General Abelian Groups
13. The DeVosGoddynMohar Theorem
14. The Partitio
ISBN:9783319004167
Series:e-books
Series:SpringerLink (Online service)
Series:Developments in Mathematics, 1389-2177 : v30
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Sequences (Mathematics) , Number theory
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Call number:SPRINGER-2013-9783034806367:ONLINE Show nearby items on shelf
Title:Introduction to Mathematical Analysis [electronic resource]
Author(s): Igor Kriz
Ale Pultr
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, theLebesgue integral, vector calculus anddifferential equations. Af ter having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differentialgeometry and even functional analysis. Overall, this t ext provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today
Note:Springer eBooks
Contents:Preface
Introduction
Part 1. A Rigorous Approach to Advanced Calculus
1. Preliminaries
2. Metric and Topological Spaces I
3. Multivariable Differential Calculus
4. Integration I: Multivariable Riemann Integral and Basic Ideas toward the Lebesgue Integral
5. Integration II: Measurable Functions, Measure and the Techniques of Lebesgue Integration
6. Systems of Ordinary Differential Equations
7. System of Linear Differential Equations
8. Line Integrals and Green's Theorem
Part 2. Analysis and Geometry
9. An Introduction to Complex Analysis
10. Metric and Top
ISBN:9783034806367
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Matrix theory , Functions of complex variables , Differential Equations , Sequences (Mathematics)
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Call number:SPRINGER-2013-9783034803731:ONLINE Show nearby items on shelf
Title:Concentration Analysis and Applications to PDE [electronic resource] : ICTS Workshop, Bangalore, January 2012
Author(s): Adimurthi
K Sandeep
Ian Schindler
Cyril Tintarev
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Concentration analysis provides, in settings without a priori available compactness, a manageable structural description for the functional sequences intended to approximate solutions of partial differential equations. Since theintroduction of concen tration compactness in the 1980s, concentration analysis today is formalized on the functional-analytic level as well as in terms of wavelets, extends to a wide range of spaces, involves much larger class ofinvariances than the original Euclidean rescalin gs and has a broad scope of applications to PDE. The book represents current research in concentration and blow-up phenomena from various perspectives, with a variety of applications toelliptic and evolution PDEs, as well as a systematic functional-analyt ic background for concentration phenomena, presented by profile decompositions based on wavelet theory and cocompact imbeddings
Note:Springer eBooks
Contents:Introduction
On the Elements Involved in the Lack of Compactness in Critical Sobolev Embedding
A Class of Second
order Dilation Invariant Inequalities
Blow
up Solutions for Linear Perturbations of the Yamabe Equation
Extremals for Sobolev and Exponential Inequalities in Hyperbolic Space
The LyapunovSchmidt Reduction for Some Critical Problems
A General Theorem for the Construction of Blowing
up Solutions to Some Elliptic Nonlinear Equations via LyapunovSchmidts Finite
dimensional Reduction
Concentration Analysis and Cocompactness
A Note on Non
radial Sign
chang
ISBN:9783034803731
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Global analysis , Differential equations, partial
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Call number:SPRINGER-2013-9783034802376:ONLINE Show nearby items on shelf
Title:The Tower of Hanoi Myths and Maths [electronic resource]
Author(s): Andreas M Hinz
Sandi Klavar
Uro Milutinovi
Ciril Petr
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
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Note:This is the first comprehensive monograph on the mathematical theory of the solitaire game The Tower of Hanoi which was invented in the 19th century by the French number theorist douard Lucas. The book comprises a surveyof the historical development from the games predecessors up to recent research in mathematics and applications in computer science and psychology. Apart from long-standing myths it contains a thorough, largely self-containedpresentation of the essential mathematical facts with comple te proofs, including also unpublished material. The main objects of research today are the so-called Hanoi graphs and the related Sierpiski graphs. Acknowledging the greatpopularity of the topic in computer science, algorithms and their correctness proofs form an essential part of the book. In view of the most important practical applications of the Tower of Hanoi and its variants, namely in physics,network theory, and cognitive (neuro)psychology, other related structures and puzzles like, e.g., the Tower of London, are addressed. Numerous captivating integer sequences arise along the way, but also many open questions imposethemselves. Central among these is the famed Frame-Stewart conjecture. Despite many attempts to decide it and large-scale numerical e xperiments supporting its truth, it remains unsettled after more than 70 years and thus demonstratesthe timeliness of the topic. Enriched with elaborate illustrations, connections to other puzzles and challenges for the reader in the form of (solved) exer cises as well as problems for further exploration, this book is enjoyablereading for students, educators, game enthusiasts and researchers alike
Note:Springer eBooks
Contents:Foreword by Ian Stewart
Preface
0 The Beginning of the World
1 The Chinese Rings
2 The Classical Tower of Hanoi
3 Lucass Second Problem
4 Sierpinski Graphs
5 The Tower of Hanoi with More Pegs
6 Variations of the Puzzle
7 The Tower of London
8 Tower of Hanoi Variants with Oriented Disc Moves
9 The End of the World
A Hints and Solutions to Exercises
Glossary
Bibliography
Name Index
Subject Index
Symbol Index
ISBN:9783034802376
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer software , Sequences (Mathematics) , Combinatorics
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Call number:SPRINGER-2013-9781461490531:ONLINE Show nearby items on shelf
Title:Optimization Approaches for Solving String Selection Problems [electronic resource]
Author(s): Elisa Pappalardo
Panos M Pardalos
Giovanni Stracquadanio
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Optimization Approaches for Solving String Selection Problemsprovides an overview of optimization methods for a wide class of genomics-related problems in relation to the string selection problems. This class of problemsaddresses the recognition of s imilar characteristics or differences within biological sequences. Specifically, this book considers a large class of problems, ranging from the closest string and substring problems, to the fartheststring and substring problems, to the far from most stri ng problem.Each problem includes a detailed description, highlighting both biological and mathematical features and presents state-of-the-art approaches. This Briefprovidesaquick introduction of optimization methods for string selection problems for young scientists and a detailed description of the mathematical and computational methods developed for experts in the field of optimization who want todeepen their understanding of the string selection problems.Researchers, practitionersand graduate students in the field of Computer Science, Operation Research, Mathematics, Computational Biology and Biomedicine will find thisbook useful.
Note:Springer eBooks
Contents:1. Biological Sequences
2. Strings: Theory, Properties and Applications
3. Mathematical Optimization
4. String Selection Problems
ISBN:9781461490531
Series:e-books
Series:SpringerLink (Online service)
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computational complexity , Computer science , Computer science Mathematics
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Call number:SPRINGER-2013-9781461472582:ONLINE Show nearby items on shelf
Title:The Mathematics of Paul Erds I [electronic resource]
Author(s): Ronald L Graham
Jaroslav Neetil
Steve Butler
Date:2013
Edition:2nd ed. 2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This is the most comprehensive survey of the mathematical life of the legendary Paul Erds (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of Erds'research are covered in a single project. Because of overwhelming response from the mathematical community, the project now occupies over 1000 pages, arranged into two volumes. These volumes contain both high level research articles aswell as key articles that survey some of the cornerst ones of Erds' work, each written by a leading world specialist in the field. A special chapter Early Days, rare photographs, and art related to Erds complement this strikingcollection. A unique contribution is the bibliography on Erds' publications: the m ost comprehensive ever published. This new edition, dedicated to the 100th anniversary of Paul Erds' birth, contains updates on many of the articlesfrom the two volumes of the first edition, several new articles from prominent mathematicians, a new introd uction, more biographical information about Paul Erds, and an updated list of publications. The first volume contains theunique chapter Early Days, which features personal memories of Paul Erds by a number of his colleagues. The other three chapters cover number theory, random methods, and geometry. All of these chapters are essentially updated,most notably the geometry chapter that covers the recent solution of the problem on the number of distinct distances in finite planar sets, which was the most popu lar of Erds' favorite geometry problems
Note:Springer eBooks
Contents:VOLUME I
Paul Erds Life and Work
Paul Erds Magic
Part I Early Days
Introduction
Some of My Favorite Problems and Results
3 Encounters with Paul Erds
4 Did Erds Save Western Civilization?
Integers Uniquely Represented by Certain Ternary Forms
Did Erds Save Western Civilization?
Encounters with Paul Erds
On Cubic Graphs of Girth at Least Five
Part II Number Theory
Introduction
Cross
disjoint Pairs of Clouds in the Interval Lattice
Classical Results on Primitive and Recent Results on Cross
Primitive Sequences
Dense Difference Sets a
ISBN:9781461472582
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Discrete groups , Number theory , Distribution (Probability theory)
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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Call number:SPRINGER-2013-9781461469988:ONLINE Show nearby items on shelf
Title:Algebraic Combinatorics [electronic resource] : Walks, Trees, Tableaux, and More
Author(s): Richard P Stanley
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the authors extensiveknowledge of combinatori cs and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfoundknowledge to mathematical, engineering, and bus iness models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory.Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints toselected exercises. Key topics include walks on graphs, cubes and the Radon transform, the MatrixTree Th eorem, de Bruijn sequences, the Erds-Moser conjecture, electrical networks, and the Sperner property. There are also threeappendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and t he enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics atthe Massachusetts Institute of Technology. Stanley has received several awards including the George Plya Prize in applied combinatorics, the Guggenheim Fello wship, and the Leroy P. Steele Prize for mathematical exposition. Also bythe author: Combinatorics and Commutative Algebra, Second Edition, Birkhuser
Note:Springer eBooks
Contents:Preface
Notation
1. Walks in graphs
2. Cubes and the Radon transform
3. Random walks
4. The Sperner property
5. Group actions on boolean algebras
6. Young diagrams and q
binomial coefficients
7. Enumeration under group action
8. A glimpse of Young tableaux
Appendix. The RSK algorithm
Appendix. Plane partitions
9. The MatrixTree Theorem
Appendix. Three elegant combinatorial proofs
10. Eulerian diagraphs and oriented trees
11. Cycles, bonds, and electrical networks
12. Miscellaneous gems of algebraic combinatorics
Hints
References
ISBN:9781461469988
Series:e-books
Series:SpringerLink (Online service)
Series:Undergraduate Texts in Mathematics, 0172-6056
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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