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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 |
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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 |
Note: | Springer 2013 e-book collections |
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) |
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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 |
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