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SPIRES-BOOKS: FIND KEYWORD COMBINATORICS *END*INIT* use /tmp/qspiwww.webspi1/22200.33 QRY 131.225.70.96 . find keyword combinatorics ( in books using www Cover
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Call number:9783319526577:ONLINE Show nearby items on shelf
Title:Graceful, Harmonious and Magic Type Labelings Relations and Techniques
Author(s): Susana C López
Date:2017
Size:1 online resource (XII, 134 p. 82 illus p.)
Contents:1. Notation and terminology -- 2. Graphs labelings -- 3. Super edge magic labelings: first type of relations -- 4. Harmonious labelings -- 5. Graceful labelings: the shifting technique -- 6. The ⊗-product of digraphs: second type of
relations -- 7. The polynomial method.
ISBN:9783319526577
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Algorithms , Combinatorics , Graph theory , Mathematics , Graph Theory , Algorithms , Combinatorics
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Call number:9783319517537:ONLINE Show nearby items on shelf
Title:Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance
Author(s):
Date:2017
Size:1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.)
Contents:Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the
Barndor-Nielsen-Shephard Model for Commodity Markets
ISBN:9783319517537
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences
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Call number:9783319509303:ONLINE Show nearby items on shelf
Title:Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Author(s): Guy Fayolle
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 248 p. 17 illus p.)
Contents:Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled
Processor Model. - References
ISBN:9783319509303
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations
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Call number:1848216165:ONLINE Show nearby items on shelf
Title:Advanced Graph Theory and Combinatorics
Author(s): Rigo
Date:2016
Publisher:Wiley-ISTE
Size:1 online resource (291 p.)
ISBN:9781848216167
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:047126296X:ONLINE Show nearby items on shelf
Title:Combinatorics, Second Edition
Author(s): Merris
Date:2003
Publisher:Wiley-Interscience
Size:1 online resource (577 p.)
ISBN:9780471262961
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:0471154083:ONLINE Show nearby items on shelf
Title:Introduction to Combinatorics
Author(s): Erickson
Date:1996
Publisher:Wiley-Interscience
Size:1 online resource (209 p.)
ISBN:9780471154082
Series:eBooks
Series:Wiley Online Library
Series:Wiley 2016 package purchase
Keywords: Mathematics
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Call number:SPRINGER-2016-9783764387976:ONLINE Show nearby items on shelf
Title:Counting Surfaces CRM Aisenstadt Chair lectures
Author(s): Bertrand Eynard
Date:2016
Edition:1st ed. 2016
Size:1 online resource (47 p.)
Note:10.1007/978-3-7643-8797-6
Contents:I Maps and discrete surfaces -- II Formal matrix integrals -- III Solution of Tutte-loop equations -- IV Multicut case -- V Counting large maps -- VI Counting Riemann surfaces -- VII Topological recursion and symplectic invariants -- VIII Ising mod el -- Index -- Bibliography
ISBN:9783764387976
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Mathematical Physics: 70
Keywords: Mathematics , Algebraic geometry , Combinatorics , Mathematics , Algebraic Geometry , Combinatorics
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Call number:SPRINGER-2016-9783319388557:ONLINE Show nearby items on shelf
Title:Multiplicative Ideal Theory and Factorization Theory Commutative and Non-commutative Perspectives
Author(s):
Date:2016
Size:1 online resource (407 p.)
Note:10.1007/978-3-319-38855-7
Contents:Multiplicative Ideal Theory in Non-commutative Rings (E. Akalan, H. Marubayashi) -- About number fields with Pólya group of order ≤ 2 (D. Adam, J.-L. Chabert) -- The interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmet ic Combinatorics (K. Cziczler, M. Domokos, A. Geroldinger) -- Ring and semigroup constructions (M. D'Anna) -- New Distinguished Classes of Spectral Spaces (C.A. Finocchiaro, M. Fontana, D. Spirito) -- Relative polynomial closure and monadically Krull mono ids of integer-valued polynomials (S. Frisch).-An overview of the computational aspects of nonunique factorization invariants (P.A. García-Sánchez).-Arithmetic of Mori domains and monoids: The global case (F. Kainrath) -- Prüfer Domains of Integer-Valu ed Polynomials (K.A. Loper, M. Syvuk) -- Lobal Properties of Integral Domains (T.G. Lucas) -- Topological aspects of irredundant intersections of ideals and valuation rings (B. Olberding) -- Noetherian semigroup algebras and beyond (J. Okniński)
-- Idempotent pairs and PRINC domains (G. Peruginelli, L. Salce, P. Zanardo) -- Some recent results and open problems on sets of lengths of Krull monoids with finite class group (W.A. Schmid) -- Factorizations of elements in noncommutative rings: A survey (D. Smertnig)
ISBN:9783319388557
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 170
Keywords: Mathematics , Algebraic geometry , Associative rings , Rings (Algebra) , Commutative algebra , Commutative rings , Group theory , Number theory , Mathematics , Commutative Rings and Algebras , Number Theory , Group Theory and Generalizations , Associative Rings and Algebras , Algebraic Geometry
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Call number:SPRINGER-2016-9783319338286:ONLINE Show nearby items on shelf
Title:Generalized Connectivity of Graphs
Author(s): Xueliang Li
Date:2016
Size:1 online resource (6 p.)
Note:10.1007/978-3-319-33828-6
Contents:1. Introduction -- 2. Results for some graph classes -- 3. Algorithm and complexity -- 4. Sharp bounds of the generalized (edge-) connectivity -- 5. Graphs with given generalized connectivity -- 6. Nordhaus-Gaddum-type results -- 7. Results for gra ph products -- 8. Maximum generalized local connectivity -- 9. Generalized connectivity for random graphs -- Bibliography.– Index.
ISBN:9783319338286
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer science , Operations research , Management science , Combinatorics , Graph theory , Mathematics , Graph Theory , Combinatorics , Discrete Mathematics in Computer Science , Operations Research, Management Science
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Call number:SPRINGER-2016-9783319319513:ONLINE Show nearby items on shelf
Title:Pancyclic and Bipancyclic Graphs
Author(s): John C George
Date:2016
Size:1 online resource (108 p.)
Note:10.1007/978-3-319-31951-3
Contents:1.Graphs -- 2. Degrees and Hamiltoneity -- 3. Pancyclicity -- 4. Minimal Pancyclicity -- 5. Uniquely Pancyclic Graphs -- 6. Bipancyclic Graphs -- 7. Uniquely Bipancyclic Graphs -- 8. Minimal Bipancyclicity -- References.
ISBN:9783319319513
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Numerical analysis , Combinatorics , Graph theory , Mathematics , Graph Theory , Combinatorics , Numerical Analysis
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Call number:SPRINGER-2016-9783319305189:ONLINE Show nearby items on shelf
Title:A Kaleidoscopic View of Graph Colorings
Author(s): Ping Zhang
Date:2016
Size:1 online resource (157 p.)
Note:10.1007/978-3-319-30518-9
Contents:1. Introduction -- 2. Binomial Edge Colorings -- 3. Kaleidoscopic Edge Colorings -- 4. Graceful Vertex Colorings -- 5.Harmonious Vertex Colorings -- 6. A Map Coloring Problem -- 7. Set Colorings -- 8. Multiset Colorings -- 9. Metric Colorings -- 10 . Sigma Colorings -- 11. Modular Colorings -- 12. A Banquet Seating Problem -- 13. Irregular Colorings -- 14. Recognizable Colorings -- References -- Index.
ISBN:9783319305189
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Combinatorics , Graph theory , Mathematics , Graph Theory , Combinatorics , Applications of Mathematics
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Call number:SPRINGER-2016-9783319297880:ONLINE Show nearby items on shelf
Title:Ordered Sets An Introduction with Connections from Combinatorics to Topology
Author(s): Bernd Schröder
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (10 p.)
Note:10.1007/978-3-319-29788-0
Contents:Preface -- Basics -- Chains, Antichains, and Fences -- Upper and Lower Bounds -- Retractions -- Constraint Satisfaction Problems -- Graphs and Homomorphisms -- Lexicographic Sums -- Lattices -- Truncated Lattices -- Dimension -- Interval Orders -- Sets P^Q = Hom (Q, P) and Products -- Enumeration of Ordered Sets -- Appendix A: Some Algebraic Topology -- Appendix B: Some Discrete Morse Theory -- References -- Index
ISBN:9783319297880
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , Ordered algebraic structures , Mathematical logic , Algebraic topology , Combinatorics , Mathematics , Mathematical Logic and Foundations , Order, Lattices, Ordered Algebraic Structures , Combinatorics , Algebraic Topology
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Call number:SPRINGER-2016-9783319285825:ONLINE Show nearby items on shelf
Title:Mathematical Cultures The London Meetings 2012-2014
Author(s):
Date:2016
Size:1 online resource (24 p.)
Note:10.1007/978-3-319-28582-5
Contents:Introduction -- Understanding the cultural construction of school mathematics -- Envisioning Transformations – The Practice of Topology -- Creative Discomfort: The Culture of the Gelfand Seminar at Moscow University -- Mathematical Culture and Mat hematics Education in Hungary in the XXth Century -- On the Emergence of a New Mathematical Object: an Ethnography of a Duality Transform -- What are we like… -- Mathematics as a social differentiating factor: men of letters, politicians and engineers i n Brazil through the Nineteenth Century -- “The End of Proof”? The integration of different mathematical cultures as experimental mathematics comes of age -- Diversity in Proof Appraisal -- What would the mathematics curriculum look like if instead of concepts and techniques, values were the focus? -- Mathematics and Values -- Purity as a Value in the German-speaking area -- Values in Caring for Proof -- An empirical approach to the mathematical values of problem choice and argumentation -- The
Notion of Fit as a Mathematical Value -- Mathematical Pull -- Mathematics and First Nations in Western Canada: from cultural destruction to a re-awakening of mathematical reflections -- Remunerative Combinatorics: Mathematicians and their Sponsors i n the Mid-Twentieth Century -- Calling a Spade a Spade: Mathematics in the New Pattern of Division of Labour -- Mathematics and mathematical cultures in fiction: the case of Catherine Shaw -- Morality and Mathematics -- The Great Gibberish - Mathematics i n Western Popular Culture -- Is Mathematics an issue of general education?
ISBN:9783319285825
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Philosophy and science , History , Mathematics , Mathematics , History of Mathematical Sciences , Mathematics Education , Philosophy of Science
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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-2016-9783319281865:ONLINE Show nearby items on shelf
Title:Convexity and Discrete Geometry Including Graph Theory Mulhouse, France, September 2014
Author(s):
Date:2016
Size:1 online resource (39 p.)
Note:10.1007/978-3-319-28186-5
Contents:Introduction -- PART I Research Articles. Marcus: Tudor Zamfirescu: from convex to magic -- Yuan: Acute Triangulations of Rectangles, with Angles Bounded Below -- Skupien: Multi-compositions in exponential counting of hypohamiltonian snarks -- Shabb ir & T. Zamfirescu: Hamiltonicity in k-tree-Halin graphs -- Schneider: Reflections of planar convex bodies -- Rouyer: Steinhaus conditions for convex polyhedra -- Riviere: About the Hausdorff dimension of the set of endpoints of convex surfaces -- Prunesc u: About a surprising computer program of Matthias Müller -- Oliveros, Martinez & Montejano: Extremal results on intersection graphs of boxes in R^d -- Massé, Euler & Lemarchand: On the connected spanning cubic subgraph problem -- Kincses: On the Helly dimension of Hanner polytopes -- Itoh & Ohtsuka: Classification of normal 2-polyhedra of positive constant curvature -- Heppes & Jeronimo-Castro: T(4) families ofϕ-disjoint ovals -- Fruchard & Magazinov: Fair partitioning by straight lines --
Filip & Petrusel: Fixed point theorems for multivalued Zamfrescu operators in convex Kasahara spaces -- Et-Taoui: Complex conference matrices, complex Hadamard matrices and complex equiangular tight frames -- Chevallier, Fruchard & Vilcu: Envelopes of α-sections -- Bokowski & al.: Selected open and solved problems in computational synthetic geometry -- Bau: Reductions of 3-connected quadrangulations of the sphere -- Barany & Por: Paths on the sphere without small angles -- PART II Open Problem Note s. Zamfirescu T.: Two problems on cages for discs -- Zamfirescu Carol T.: Seven problems on hypohamiltonian and almost hypohamiltonian graphs -- Vilcu & Zamfirescu: Six problems on the length of the cut locus -- Simoes-Pereira: Existence Problems for Matr oidal Families -- Funar: Cubical Pachner moves -- Eckhoff: Problems in Discrete Geometry -- Chevallier & Fruchard: What is the minimal cardinal of a family which shatters all d-subsets of a finite set? -- Baskoro: Some open problems of Ramsey
minimal graphs.
ISBN:9783319281865
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 148
Keywords: Mathematics , Global analysis (Mathematics) , Manifolds (Mathematics) , Convex geometry , Discrete geometry , Combinatorics , Graph theory , Mathematics , Convex and Discrete Geometry , Graph Theory , Combinatorics , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319281063: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-2016-9783319242989: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-2016-9783319072548:ONLINE Show nearby items on shelf
Title:Elements of Probability and Statistics An Introduction to Probability with de Finetti’s Approach and to Bayesian Statistics
Author(s): Francesca Biagini
Date:2016
Edition:1st ed. 2016
Size:1 online resource (27 p.)
Note:10.1007/978-3-319-07254-8
Contents:1 Random numbers -- 2 Discrete distributions -- 3 One-dimensional absolutely continuous distributions -- 4 Multi-dimensional absolutely continuous distributions -- 5 Convergence of distributions -- 6 Discrete time Markov chains -- 7 Continuous time Markov chains -- 8 Statistics -- 9 Combinatorics -- 10 Discrete distributions -- 11 One-dimensional absolutely continuous distributions -- 12 Absolutely continuous and multivariate distributions -- 13 Markov chains -- 14 Statistics -- 15 Elements of comb inatorics -- 16 Relations between discrete and absolutely continuous distributions -- 17 Some discrete distributions -- 18 Some one-dimensional absolutely continuous distributions -- 19 The normal distribution -- 20 Stirling's formula -- 21 Elements of an alysis -- 22 Bidimensional integrals
ISBN:9783319072548
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:UNITEXT: 98
Keywords: Mathematics , Business mathematics , Mathematical statistics , Probabilities , Physics , Statistics , Applied mathematics , Engineering mathematics , Mathematics , Probability Theory and Stochastic Processes , Statistical Theory and Methods , Probability and Statistics in Computer Science , Business Mathematics , Mathematical Methods in Physics , Appl.Mathematics/Computational Methods of Engineering
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Call number:SPRINGER-2016-9783319052335:ONLINE Show nearby items on shelf
Title:Stochastic Analysis for Poisson Point Processes Malliavin Calculus, Wiener-Itô Chaos Expansions and Stochastic Geometry
Author(s):
Date:2016
Size:1 online resource (346 p.)
Note:10.1007/978-3-319-05233-5
Contents:1 Stochastic analysis for Poisson processes -- 2 Combinatorics of Poisson stochastic integrals with random integrands -- 3 Variational analysis of Poisson processes -- 4 Malliavin calculus for stochastic processes and random measures with independe nt increments -- 5 Introduction to stochastic geometry -- 6 The Malliavin-Stein method on the Poisson space -- 7 U-statistics in stochastic geometry -- 8 Poisson point process convergence and extreme values in stochastic geometry -- 9 U-statistics on the spherical Poisson space -- 10 Determinantal point processes
ISBN:9783319052335
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics: 7
Keywords: Mathematics , Applied mathematics , Engineering mathematics , Polytopes , Probabilities , Combinatorics , Mathematics , Probability Theory and Stochastic Processes , Combinatorics , Polytopes , Applications of Mathematics
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Call number:SPRINGER-2016-9781493934089:ONLINE Show nearby items on shelf
Title:Harmonic Analysis on Symmetric Spaces—Higher Rank Spaces, Positive Definite Matrix Space and Generalizations
Author(s): Audrey Terras
Date:2016
Edition:2nd ed. 2016
Size:1 online resource (21 p.)
Note:10.1007/978-1-4939-3408-9
ISBN:9781493934089
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Applied mathematics , Engineering mathematics , Geometry , Number theory , Combinatorics , Statistics , Mathematics , Abstract Harmonic Analysis , Number Theory , Geometry , Combinatorics , Applications of Mathematics , Statistical Theory and Methods
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Call number:SPRINGER-2016-9781447167907:ONLINE Show nearby items on shelf
Title:General Galois Geometries
Author(s): J.W.P Hirschfeld
Date:2016
Edition:1st ed. 2016
Size:1 online resource (409 p.)
Note:10.1007/978-1-4471-6790-7
Contents:Preface -- Terminology -- Quadrics -- Hermitian varieties -- Grassmann varieties -- Veronese and Serge varieties -- Embedded geometries -- Arcs and Caps -- Ovoids, spreads and m-systems of finite polar spaces -- References -- Index
ISBN:9781447167907
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Projective geometry , Combinatorics , Mathematics , Projective Geometry , Combinatorics , Algebraic Geometry
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Call number:SPRINGER-2014-9783662442050:ONLINE Show nearby items on shelf
Title:Proofs from THE BOOK [electronic resource]
Author(s): Martin Aigner
Gnter M Ziegler
Date:2014
Edition:5th ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This revised and enlarged fifth editionfeatures four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like thenon-existence of the Borromean rings and other surprises. From the Reviews ... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing andglorious ways. There is vast wealth within its pages, one gem aft er another. ... Aigner and Ziegler... write: ... all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliantideas, clever insights and wonderful observations. I do. ... Notices of the AMS, August 1999 ... This book is a pleasure to hold and to look at: ample margins, nice photos, instructive pictures, and beautiful drawings ... It isa pleasure to read as well: the style is clear and entertaining, the level is close to elementary, the necessary bac kground is given separately, and the proofs are brilliant. ... LMS Newsletter, January 1999 Martin Aigner andGnter Ziegler succeeded admirably in putting together a broad collection of theorems and their proofs that would undoubtedly be in the Book of Erd s. The theorems are so fundamental, their proofs so elegant, and the remaining openquestions so intriguing that every mathematician, regardless of speciality, can benefit from reading this book. ... SIGACT News, December 2011
Contents:Number Theory: 1. Six proofs of the infinity of primes
2. Bertrands postulate
3. Binomial coefficients are (almost) never powers
4. Representing numbers as sums of two squares
5. The law of quadratic reciprocity
6. Every finite division ring is a field
7. The spectral theorem and Hadamards determinant problem
8. Some irrational numbers
9. Three times 2/6
Geometry: 10. Hilberts third problem: decomposing polyhedral
11. Lines in the plane and decompositions of graphs
12. The slope problem
13. Three applications of Eulers formula
14. Cauchys
ISBN:9783662442050
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Global analysis (Mathematics) , Combinatorics , Geometry , Number theory
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Call number:SPRINGER-2014-9783662439203:ONLINE Show nearby items on shelf
Title:Geometry and Analysis of Fractals [electronic resource] : Hong Kong, December 2012
Author(s): De-Jun Feng
Ka-Sing Lau
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written bythe leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong.The volume offers insights into a number o f exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematicalphysics.
Contents:Mandelbrot cascades and related topics
Law of pure types and some exotic spectra of fractal spectral measures
The role of transfer operators and shifts in the study of fractals: encoding
models, analysis and geometry, commutative and non
commutative
Generalized energy inequalities and higher multifractal moments
Some Aspects of Multifractal analysis
Heat kernels on metric measure spaces
Stochastic completeness of jump processes on metric measure spaces
Self similar sets, entropy and additive combinatorics
Quasisymmetric modification of metrics on self
similar sets
Re
ISBN:9783662439203
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v88
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319079653:ONLINE Show nearby items on shelf
Title:Problems from the Discrete to the Continuous [electronic resource] : Probability, Number Theory, Graph Theory, and Combinatorics
Author(s): Ross G Pinsky
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number ofspecific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a mlange of topics from combinatorial probability theory, number theory, random graph theory andcombinatorics. The problems in this book involve the asymp totic analysis of a discrete construct as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makesa modest attempt at bridging disciplines. The problems were selected with an e ye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students presentthe lectures
Contents:Partitions With Restricted Summands or The Money Changing Problem
The Asymptotic Density of Relatively Prime Pairs and of Square
Free Numbers
A One
Dimensional Probabilistic Packing Problem
The Arcsine Laws for the One
Dimensional Simple Symmetric Random Walk
The Distribution of Cycles in Random Permutations
Chebyshev's Theorem on the Asymptotic Density of the Primes
Mertens' Theorems on the Asymptotic Behavior of the Primes
The Hardy
Ramanujan Theorem on the Number of Distinct Prime Divisors
The Largest Clique in a Random Graph and Applications to Tampering Detection
ISBN:9783319079653
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Number theory , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783319064130:ONLINE Show nearby items on shelf
Title:Lattice Theory: Special Topics and Applications [electronic resource] : Volume 1
Author(s): George Grtzer
Friedrich Wehrung
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Birkhuser
Size:1 online resource
Note:George Grtzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Grtzer considered updating the second edition to reflect some exciting and deepdevelopments. He soon realize d that to lay the foundation, to survey the contemporary field, to pose research problems, would require more than one volume and more than one person. So Lattice Theory: Foundation provided the foundation.Now we complete this project with Lattice Theory: Special Topics and Applications, written by a distinguished group of experts, to cover some of the vast areas not in Foundation. This first volume is divided into three parts. Part I.Topology and Lattices includes two chapters by Klaus Keimel, Jimmie Law son and Ales Pultr, Jiri Sichler. Part II. Special Classes of Finite Lattices comprises four chapters by Gabor Czedli, George Grtzer and Joseph P. S. Kung. PartIII. Congruence Lattices of Infinite Lattices and Beyond includes four chapters by Friedrich We hrung and George Grtzer
Contents:Introduction. Part I Topology and Lattices
Chapter 1. Continuous and Completely Distributive Lattices
Chapter 2. Frames: Topology Without Points
Part II. Special Classes of Finite Lattices
Chapter 3. Planar Semi modular Lattices: Structure and Diagram
Chapter 4. Planar Semi modular Lattices: Congruences
Chapter 5. Sectionally Complemented Lattices
Chapter 6. Combinatorics in finite lattices
Part III. Congruence Lattices of Infinite Lattices and Beyond
Chapter 7. Schmidt and Pudlk's Approaches to CLP
Chapter 8. Congruences of lattices and ideals of rings
Chapt
ISBN:9783319064130
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra
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Call number:SPRINGER-2014-9783319048703:ONLINE Show nearby items on shelf
Title:Combinatorial Algebraic Geometry [electronic resource] : Levico Terme, Italy 2013, Editors: Sandra Di Rocco, Bernd Sturmfels
Author(s): Aldo Conca
Sandra Di Rocco
Jan Draisma
June Huh
Bernd Sturmfels
Filippo Viviani
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions, and enumerative geometry. The aim of this volume is tointroduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varietiesendowed with a rich combinatorial structure. Rele vant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications
Contents:Koszul algebras, Koszul homology and syzygies
Infinite
dimensional systems of polynomial equations with symmetry
Maximum Likelihood Geometry
Linear Toric fibrations and Cayley polytopes
Toroidal compactifications and tropicalizations of moduli spaces
ISBN:9783319048703
Series:eBooks
Series:SpringerLink
Series:Lecture Notes in Mathematics, 0075-8434 : v2108
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Algebra , Combinatorics
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Call number:SPRINGER-2014-9783319037622:ONLINE Show nearby items on shelf
Title:Data Analysis [electronic resource] : Statistical and Computational Methods for Scientists and Engineers
Author(s): Siegmund Brandt
Date:2014
Edition:4th ed. 2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The fourth edition of this successful textbook presents a comprehensive introduction to statistical and numerical methods for the evaluation of empirical and experimental data. Equal weight is given to statistical theory andpractical problems. The co ncise mathematical treatment of the subject matter is illustrated by many examples, and for the present edition a library of Java programs has been developed. It comprises methods of numerical data analysisand graphical representation as well as many exam ple programs and solutions to programming problems. The programs (source code, Java classes, and documentation) and extensive appendices to the main text are available for free downloadfrom the books page at www.springer.com. Contents Probabilities. Rando m variables. Random numbers and the Monte Carlo Method. Statistical distributions (binomial, Gauss, Poisson). Samples. Statistical tests. Maximum Likelihood.Least Squares. Regression. Minimization. Analysis of Variance. Time series analysis. Audience The book is conceived both as an introduction and as a work of reference. In particular it addresses itself to students, scientists andpractitioners in science and engineering as a help in the analysis of their data in laboratory courses, working for bachelor or master degrees, in thesis work, and in research and professional work. The book is concise, but gives asufficiently rigorous mathematical treatment of practical statistical methods for data analysis it can be of great use to all who are involved with data analysis. Physicalia This lively and erudite treatise covers the theory ofthe main statistical tools and their practical applicationsa first rate university textbook, and good background material for the practicing physicist. Physics Bulletin The Aut hor Siegmund Brandt is Emeritus Professor of Physicsat the University of Siegen. With his group he worked on experiments in elementary-particle physics at the research centers DESY in
Contents:Introduction
Probabilities
Random Variables: Distributions
Computer
Generated Random Numbers: The Monte Carlo Method
Some Important Distributions and Theorems
Samples
The Method of Maximum Likelihood
Testing Statistical Hypotheses
The Method of Least Squares
Function Minimization
Analysis of Variance
Linear and Polynomial Regression
Time
Series Analysis
A) Matrix Calculations
B) Combinatorics
C) Formulas and Methods for the Computation of Statistical Functions
D) The Gamma Function and Related Functions: Methods and Programs for their Computation
ISBN:9783319037622
Series:eBooks
Series:SpringerLink
Series:Physics and Astronomy (Springer-11651)
Keywords: Chemistry Mathematics , Mathematical physics , Engineering mathematics
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Call number:SPRINGER-2014-9783319012049:ONLINE Show nearby items on shelf
Title:Deterministic Abelian Sandpile Models and Patterns [electronic resource]
Author(s): Guglielmo Paoletti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The model investigated in this work,a particular cellular automaton with stochastic evolution, was introduced as the simplest case of self-organized-criticality, that is, a dynamical system which shows algebraic long-rangecorrelations without any tun ing of parameters. The authorderives exact results which are potentially also interesting outside the area of critical phenomena. Exact means also site-by-site and not only ensemble average or coarsegraining. Very complex and amazingly beautiful periodic patterns are often generated by the dynamics involved, especially in deterministic protocols in which the sand is addedat chosen sites. For example, the author studies theappearance of allometric structures, that is, patterns which grow in the same way in their whole body, and not only near their boundaries, as commonly occurs. The local conservation laws which govern the evolution of these patterns arealso presented. This work has alreadyattracted interest,not only in non-equilibrium statistical mechanic s, but also in mathematics, both in probability and in combinatorics. There are also interesting connections with numbertheory. Lastly, it also poses new questionsabout an old subject. As such, it will be of interest to computer practitioners, demonstrati ng the simplicity with which charming patterns can be obtained, as well as to researchers workingin many other areas
Contents:Introduction
The Abelian Sandpile Model
Algebraic structure
Identity characterization
Pattern formation
Conclusions
SL(2, Z)
Complex notation for vectors in R2
Generalized quadratic Bezier curve
Tessellation
ISBN:9783319012049
Series:eBooks
Series:SpringerLink
Series:Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053
Series:Physics and Astronomy (Springer-11651)
Keywords: Computer simulation , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783034808255:ONLINE Show nearby items on shelf
Title:Positional Games [electronic resource]
Author(s): Dan Hefetz
Michael Krivelevich
Milo Stojakovi
Tibor Szab
Date:2014
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:This textserves as a thorough introduction to the rapidly developing field of positional games. This area constitutes an important branch of combinatorics, whose aim it is to systematically develop an extensive mathematicalbasis for a variety of two- player perfect information games. These range from such popular games as Tic-Tac-Toe and Hex to purely abstract games played on graphs and hypergraphs. The subject of positional games is strongly related toseveral other branches of combinatorics such as R amsey theory, extremal graph and set theory, and the probabilistic method. These notes cover a variety of topics in positional games, including both classical results and recentimportant developments. They are presented in an accessible way and are accomp anied by exercises of varying difficulty, helping the reader to better understand the theory. The text will benefit both researchers and graduate students incombinatorics and adjacent fields
Contents:Preface
1 Introduction
2 Maker
Breaker Games
3 Biased Games
4 Avoider
Enforcer Games
5 The Connectivity Game
6 The Hamiltonicity Game
7 Fast and Strong
8 Random Boards
9 The Neighborhood Conjecture
Bibliography
ISBN:9783034808255
Series:eBooks
Series:SpringerLink
Series:Oberwolfach Seminars, 1661-237X : v44
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics
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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-2014-9781493909384:ONLINE Show nearby items on shelf
Title:Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics [electronic resource]
Author(s): Mahir Can
Zhenheng Li
Benjamin Steinberg
Qiang Wang
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book contains a collection of fifteen articles and is dedicated to the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of the field of algebraic monoids. Topics presented include: v structure andrepresentation theory of reducti ve algebraic monoids v monoid schemes and applications of monoids v monoids related to Lie theory v equivariant embeddings of algebraic groups v constructions and properties of monoids fromalgebraic combinatorics v endomorphism monoids induced from vector bundles v HodgeNewton decompositions of reductive monoids A portion of these articles are designed to serve as a self-contained introduction to these topics,while the remaining contributions are research articles containing previously unpublished result s, which are sure to become very influential for future work. Among these, for example, the important recent work of Michel Brion and LexRenner showing that the algebraic semigroups are strongly -regular. Graduate students as well as researchers working in the fields of algebraic (semi)group theory, algebraic combinatorics, and the theory of algebraic groupembeddings will benefit from this unique and broad compilation of some fundamental results in (semi)group theory, algebraic group embeddings, and alge braic combinatorics merged under the umbrella of algebraic monoids
Contents:On Algebraic Semi groups and Monoids (M. Brion)
Algebraic Semi groups are Strongly
regular (M. Brion, L. E. Renner)
Rees Theorem and Quotients in Linear Algebraic Semi groups (M. S. Putcha)
Representations of Reductive Normal Algebraic Monoids (S. Doty)
On Linear Hodge Newton Decomposition for Reductive Monoids (S. Varma)
The Structure of Affine Algebraic Monoids in Terms of Kernel Data (W. Huang)
Algebraic Monoids and Renner Monoids (Z. Li, Z. Li, Y. Cao)
Conjugacy Decomposition of Canonical and Dual Canonical Monoids (R. K. Therkelsen)
The Endomorphisms Monoid of a
ISBN:9781493909384
Series:eBooks
Series:SpringerLink
Series:Fields Institute Communications, 1069-5265 : v71
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Group theory , Topological Groups , Combinatorics
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Call number:SPRINGER-2014-9781493907816:ONLINE Show nearby items on shelf
Title:Rigidity and Symmetry [electronic resource]
Author(s): Robert Connelly
Asia Ivi Weiss
Walter Whiteley
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures, and to explore the interaction of geometry,algebra, and combinatorics . Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. Contributions present recent trends andadvances in discrete geometry, particularly in the the ory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry,group theory, classical geometry, hyperbolic geometry and topology. The volume will also be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating thesurprising impact of symmetry. It will appeal to students at both the advanced undergraduate and grad uate levels, as well as postdocs, structural engineers, and chemists
Contents:Volumes of Polytopes in Spaces of Constant Curvature (N. Abrosimov, A. Mednykh)
Cubic Cayley Graphs and Snarks (H. Ademir, K. Kutnar, D. Marui)
Local, Dimensional and Universal Rigidities: A unified Gram Matrix Approach (A. Alfakih)
Geometric Constructions for Symmetric 6
Configurations (L.W. Berman)
On External Symmetry Groups of Regular Maps (M.D.E. Conder, Y.S. Kwon, J. ir)
Variance Groups and the Structure of Mixed Polytopes (G. Cunningham)
Mobility in Symmetry
Regular Bar
and
Joint Frameworks (P.W. Fowler, S.D. Guest, B. Schulze)
Generic Global Rigidity in C
ISBN:9781493907816
Series:eBooks
Series:SpringerLink
Series:Fields Institute Communications, 1069-5265 : v70
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics , Discrete groups , Topology
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Call number:SPRINGER-2014-9781493906826:ONLINE Show nearby items on shelf
Title:k-Schur Functions and Affine Schubert Calculus [electronic resource]
Author(s): Thomas Lam
Luc Lapointe
Jennifer Morse
Anne Schilling
Mark Shimozono
Mike Zabrocki
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert calculus lies at the crossroads ofcombinatorics, geome try, and representation theory. Its modern development is motivated by two seemingly unrelated directions. One is the introduction of k-Schur functions in the study of Macdonald polynomial positivity, a mostlycombinatorial branch of symmetric function the ory. The other direction is the study of the Schubert bases of the (co)homology of the affine Grassmannian, an algebro-topological formulation of a problem in enumerative geometry. This isthe first introductory text on this subject. It contains many examp les in Sage, a free open source general purpose mathematical software system, to entice the reader to investigate the open problems. This book is written for advancedundergraduate and graduate students, as well as researchers, who want to become familiar with this fascinating new field
Contents:1. Introduction
2. Primer on k
Schur Functions
3. Stanley symmetric functions and Peterson algebras
4. Affine Schubert calculus
ISBN:9781493906826
Series:eBooks
Series:SpringerLink
Series:Fields Institute Monographs, 1069-5273 : v33
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Combinatorics , Algebraic topology
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Call number:SPRINGER-2014-9781493906260:ONLINE Show nearby items on shelf
Title:Connections Between Algebra, Combinatorics, and Geometry [electronic resource]
Author(s): Susan M Cooper
Sean Sather-Wagstaff
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra, Combinatorics,and Geometry contains lecture notes, alongwith exercises andsolution s, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participatein the companion Special Session on Interactions B etween Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 23, 2012, and the meeting Further ConnectionsBetween Algebra and Geometry, which was held at the North Dakota State Universit y, February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutativealgebra, secant varieties, and fat points and symbolic powers. Itwill serve asausefulresourcefor gra duate students andresearchers who wish toexpand their knowledge of commutative algebra, algebraicgeometry,combinatorics, and the intricacies of their intersection.
Contents:Preface
Differential Graded Commutative Algebra
Secant Varieties
Fat Points and Symbolic Powers
An Introduction to Stanley
Reisner Rings
Combinatorial Resolutions
Geometric Properties of the Tor Algebra Structure for Trivariate Monomial Ideals
Interactions Between Linear Algebra and Algebraic Geometry
Fat Points
Primary Decomposition of Certain Permanental Ideals
ISBN:9781493906260
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v76
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry, algebraic , Algebra
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Call number:SPRINGER-2014-9781493903054:ONLINE Show nearby items on shelf
Title:Covering Walks in Graphs [electronic resource]
Author(s): Futaba Fujie
Ping Zhang
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:CoveringWalks in Graphs is aimed at researchers and graduate students in the graph theory community and provides a comprehensive treatment on measures of two well studied graphical properties, namely Hamiltonicity andtraversability in graphs. This te xt looks into the famous Knigsberg Bridge Problem, the Chinese Postman Problem, the Icosian Game and the Traveling Salesman Problem as well as well-known mathematicians who were involved in theseproblems. The concepts of different spanning walks with exam ples and present classical results on Hamiltonian numbers and upper Hamiltonian numbers of graphs are described in some cases, the authorsprovide proofs of these results toillustrate the beauty and complexity of this area of research. Two new concepts of traceable numbers of graphs and traceable numbers of vertices of a graph which were inspired by and closely related to Hamiltonian numbers areintroduced. Results are illustrated on these two concepts and the relationship between traceable concepts and Ham iltonian concepts are examined. Describes several variations of traceable numbers, which provide new frame works forseveral well-known Hamiltonian concepts and produce interesting new results
Contents:1. Eulerian Walks
2. Hamiltonian Walks
3. Traceable Walks
References
Index.
ISBN:9781493903054
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Mathematics, 2191-8198
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics
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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-2014-9781461490937:ONLINE Show nearby items on shelf
Title:Simplicial Global Optimization [electronic resource]
Author(s): Remigijus Paulaviius
Julius ilinskas
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Simplicial Global Optimization is centered on deterministic covering methods partitioning feasible region by simplices.This book looks into the advantages of simplicial partitioning in global optimization through applicationswhere the search space ma y be significantly reduced while taking into account symmetries of the objective function by setting linear inequality constraints that are managed by initial partitioning.The authorsprovidean extensiveexperimental investigation and illustrates the impact of various bounds, types of subdivision, strategies of candidate selection on the performance of algorithms. A comparison of various Lipschitz bounds over simplices and an extensionof Lipschitz global optimization with-out the Lipschitz constant to the c ase of simplicial partitioning is also depicted in this text. Applications benefiting from simplicial partitioning are examined in detail such as nonlinear leastsquares regression and pile placement optimization in grillage-type foundations. Researchers a nd engineers will benefit from simplicial partitioning algorithms such as Lipschitz branch and bound, Lipschitz optimization without theLipschitz constant, heuristic partitioning presented. This book will leave readers inspired to develop simplicial versi ons of other algorithms for global optimization and even use other non-rectangular partitions for specialapplications
Contents:1. Simplicial Partitions in Global Optimization
2. Lipschitz Optimization with Different Bounds over Simplices
3. Simplicial Lipschitz Optimization without Lipschitz Constant
4. Applications of Global Optimization Benefiting from Simplicial Partitions
References
Description of Test Problems
ISBN:9781461490937
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics
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Call number:SPRINGER-2014-9781461489573:ONLINE Show nearby items on shelf
Title:Topics in Matroid Theory [electronic resource]
Author(s): Leonidas S Pitsoulis
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at the heart of combinatorial optimization and has attracted various pioneers such as Edmonds,Tutte, Cunningham an d Lawler among others. Matroid theory encompasses matrices, graphs and other combinatorial entities under a common, solid algebraicframework, thereby providing the analytical tools to solve related difficultalgorithmic problems. The monograph contains a r igorousaxiomatic definition of matroids along with other necessary concepts such as duality, minors, connectivity and representability asdemonstrated in matrices, graphs andtransversals. The author also presents a deep decomposition result in matroid theo ry that providesa structural characterization of graphic matroids, and show how this can be extended to signed-graphic matroids, as well as theimmediatealgorithmic consequences.
Contents:1.Introduction
2.Graph Theory, Vector Spaces and Transversals
3.Definition of Matroids
4.Representability, Duality, Minors, and Connectivity
5. Decomposition of Graphic Matroids
6.Signed
Graphic Matroids
List of Symbols
Index
ISBN:9781461489573
Series:eBooks
Series:SpringerLink
Series:SpringerBriefs in Optimization, 2190-8354
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algorithms , Combinatorics , Geometry
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Call number:SPRINGER-2014-9781461488545:ONLINE Show nearby items on shelf
Title:Set Theory [electronic resource] : With an Introduction to Real Point Sets
Author(s): Abhijit Dasgupta
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Birkhuser
Size:1 online resource
Note:What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbookpresents classical set theory in an intuitive but concrete manner. To allow flexibility of topic selection in courses, the book is organized into four relatively independent parts with distinct mathematical flavors. Part I begins withthe DedekindPeano axioms and ends with the construction of the real numbers. The core CantorDedekind theory of cardinals, orders, and ordinals appears in Part II. Part III focuses on the real continuum. Finally, foundationalissues and formal axioms are introduced in Part IV. Each part ends with a postscript chapter discussing topics beyond the scope of the main text, ranging from philosophical remarks to glimpses into landmark results of modern set theorysuch as the resolution of Lusin's problems on projective sets using determinacy of infinite ga mes and large cardinals. Separating the metamathematical issues into an optional fourth part at the end makes this textbook suitable forstudents interested in any field of mathematics, not just for those planning to specialize in logic or foundations. The re is enough material in the text for a year-long course at the upper-undergraduate level. For shorter one-semesteror one-quarter courses, a variety of arrangements of topics are possible. The book will be a useful resource for both experts working in a r elevant or adjacent area and beginners wanting to learn set theory via self-study
Contents:1 Preliminaries: Sets, Relations, and Functions
Part I Dedekind: Numbers
2 The DedekindPeano Axioms
3 Dedekinds Theory of the Continuum
4 Postscript I: What Exactly Are the Natural Numbers?
Part II Cantor: Cardinals, Order, and Ordinals
5 Cardinals: Finite, Countable, and Uncountable
6 Cardinal Arithmetic and the Cantor Set
7 Orders and Order Types
8 Dense and Complete Orders
9 Well
Orders and Ordinals
10 Alephs, Cofinality, and the Axiom of Choice
11 Posets, Zorns Lemma, Ranks, and Trees
12 Postscript II: Innitary Combinatorics
Part III Re
ISBN:9781461488545
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Logic , Algebra , Global analysis (Mathematics) , Logic, Symbolic and mathematical , Topology
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Call number:SPRINGER-2014-9781447164647:ONLINE Show nearby items on shelf
Title:Hypergeometric Summation [electronic resource] : An Algorithmic Approach to Summation and Special Function Identities
Author(s): Wolfram Koepf
Date:2014
Edition:2nd ed. 2014
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system Maple. The algorithms of Fasenmyer, Gosper, Zeilberger,Petkovek and van Hoeij for hyp ergeometric summation and recurrence equations, efficient multivariate summation as well as q-analogues of the above algorithms are covered. Similar algorithms concerning differential equations areconsidered. An equivalent theory of hyperexponential integ ration due to Almkvist and Zeilberger completes the book. The combination of these results gives orthogonal polynomials and (hypergeometric and q-hypergeometric) specialfunctions a solid algorithmic foundation. Hence, many examples from this very active f ield are given. The materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchersalike
Contents:Introduction
The Gamma Function
Hypergeometric Identities
Hypergeometric Database
Holonomic Recurrence Equations
Gospers Algorithm
The Wilf
Zeilberger Method
Zeilbergers Algorithm
Extensions of the Algorithms
Petkovseks and Van Hoeijs Algorithm
Differential Equations for Sums
Hyperexponential Antiderivatives
Holonomic Equations for Integrals
Rodrigues Formulas and Generating Functions
ISBN:9781447164647
Series:eBooks
Series:SpringerLink
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differential Equations , Functions, special , Algorithms , Computer software , Combinatorics
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Call number:SPRINGER-2013-9783642394850:ONLINE Show nearby items on shelf
Title:Algebras, Quivers and Representations [electronic resource] : The Abel Symposium 2011
Author(s): Aslak Bakke Buan
Idun Reiten
yvind Solberg
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 book features survey and research papers from The Abel Symposium 2011, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas ofmathematics like commutati ve algebra, algebraic geometry, algebraic groups and combinatorics. This volume illustrates and extends such connections with algebraic geometry, cluster algebra theory, commutative algebra, dynamical systemsand triangulated categories. In addition, it in cludes contributions on further developments in representation theory of quivers and algebras. Algebras, Quivers and Representations is targeted at researchers and graduate students inalgebra, representation theory and triangulated categories
Note:Springer eBooks
Contents:C. Amiot: Preprojective algebras, singularity categories and orthogonal decompositions
L. Avramov: (Contravariant) Koszul duality for DG algebras
R. Buchweitz: The fundamental group of a morphism in a triangulated category
K. Erdmann: On Hochschild cohomology of weakly symmetric special biserial algebras
D. Happel: Algebras of finite global dimension
K. Igusa (with G. Todorov): Continuous Frobenius categories
D.A. Jorgensen: Triangle functors from generic hypersurfaces
Y. Kodama (with L. Williams): Combinatorics of KP solutions from the real Grassmannian
H. Krause: Mo
ISBN:9783642394850
Series:e-books
Series:SpringerLink (Online service)
Series:Abel Symposia, 2193-2808 : v8
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Algebra , Geometry, algebraic , Differentiable dynamical systems
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Call number:SPRINGER-2013-9783642381898:ONLINE Show nearby items on shelf
Title:Facets of Combinatorial Optimization [electronic resource] : Festschrift for Martin Grtschel
Author(s): Michael Jnger
Gerhard Reinelt
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:Martin Grtschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday onSeptember 10, 2013. Martin G rtschels doctoral descendant tree 19832012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoraldescendants. This book starts with a personal tribute to Martin G rtschel by the editors (Part I), a contribution by his very special predecessor Manfred Padberg on Facets and Rank of Integer Polyhedra (Part II), and thedoctoral descendant tree 19832012 (Part III). The core of this book (Part IV) contains 16 contributio ns, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions tothe theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimiza tion, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclicgraphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new t heoretical insights with algorithms and experiments deal with network designproblems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design,mean-risk optimization, and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-inte ger linear optimization forscheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed-integer li
Note:Springer eBooks
Contents:Martin Grtschel
a tribute: M.Jnger and G.Reinelt
Facets and rank of integer polyhedra:M.Padberg
Constructing extended formulations from reflection relations:V.Kaibel and K.Pashkovich
Exact algorithms for combinatorial optimization problems with submodular objective functions: F.Baumann, S.Berckey, and C.Buchheim
Solving k
way graph partitioning problems to optimality: The impact of semidefinite relaxations and the bundle method: M.F. Anjos, B.Ghaddar, L.Hupp, F.Liers and A.Wiegele
Mirror
descent methods in mixed
integer convex optimization: M.Baes, T.Oertel, Ch.Wagner
ISBN:9783642381898
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computational complexity , Algorithms , Mathematical optimization
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Call number:SPRINGER-2013-9783642333026:ONLINE Show nearby items on shelf
Title:Guts of Surfaces and the Colored Jones Polynomial [electronic resource]
Author(s): David Futer
Efstratia Kalfagianni
Jessica Purcell
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 monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that thegrowth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial measure how far this surface is from being a fiber for theknot in particular, the surface is a fiber if and only if a particular coefficient vanishes. We also relate hyperbolic volume to colored Jones polynomials. Our method is to generalize the checkerboard decompositions of alternatingknots. Under mild diagrammatic hypotheses, we show that these surfaces are essential, and obtain an ideal polyhedral decomposition of their complement. We use normal surface theory to relate the pieces of the JSJ decomposition of thecomplement to the combinatorics of certain surface spines (state graphs). Since state graphs have previously appeared in the study of Jones polynomials, our method bridges the gap between quantum and geometric knot invariants
Note:Springer eBooks
Contents:1 Introduction
2 Decomposition into 3balls
3 Ideal Polyhedra
4 Ibundles and essential product disks
5 Guts and fibers
6 Recognizing essential product disks
7 Diagrams without non
prime arcs
8 Montesinos links
9 Applications
10 Discussion and questions
ISBN:9783642333026
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2069
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Cell aggregation Mathematics
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Call number:SPRINGER-2013-9783642322785:ONLINE Show nearby items on shelf
Title:Graphs, Networks and Algorithms [electronic resource]
Author(s): Dieter Jungnickel
Date:2013
Edition:4th ed. 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:From the reviews of the previous editions .... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, andresearchers in this area. The aut hor finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does notremain helpless solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ... K.Engel, Mathematical Reviews 2002 The substantial developmenteffort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation,comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate orlow-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to ex ercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons,Zentralblatt fr Mathematik2005 Once again, the new edition has been thoroughly revised. In particular, some further material has been added: more on NP-comp leteness (especially on dominating sets), a section on the Gallai-Edmondsstructure theory for matchings, and about a dozen additional exercises as always, with solutions. Moreover, the section on the 1-factor theorem has been completely rewritten: it now presents a short direct proof for the moregeneral Berge-Tutte formula. Several recent research developments are discussed and quite a few references have been added
Note:Springer eBooks
Contents:Prefaces
Basic Graph Theory
Algorithms and Complexity
Shortest Paths
Spanning Trees
The Greedy Algorithm
Flows
Combinatorial Applications
Connectivity and Depth First Search
Colorings
Circulations
The Network Simplex Algorithm
Synthesis of Networks
Matchings
Weighted Matchings
A Hard Problem: The TSP
Appendix A: Some NP
Complete Problems
Appendix B: Solutions
Appendix C: List of Symbols
References
Index
ISBN:9783642322785
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v5
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science , Combinatorics , Mathematical optimization
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Call number:SPRINGER-2013-9783642309793:ONLINE Show nearby items on shelf
Title:Advances in Combinatorics [electronic resource] : Waterloo Workshop in Computer Algebra, W80, May 26-29, 2011
Author(s): Ilias S Kotsireas
Eugene V Zima
Date:2013
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume, as Andrew M. Odlzyko writes in the foreword, commemorates and celebrates the life and achievements of an extraordinary person. Originally conceived as an 80th birthday tribute to Herbert Wilf, the well-knowncombinatorialist, the book has evolved beyond the proceeds of the W80 tribute. Professor Wilf was an award-winning teacher, who was supportive of women mathematicians, and who had an unusually high proportion of women among his PhDcandidates. He was Editor-in-chief of the American Mat hematical Monthly and a founder of both the Journal of Algorithms and of the Electronic Journal of Combinatorics. But he was first a researcher, driven by his desire to know andexplain the inner workings of the mathematical world. The book collects high- quality, refereed research contributions by some of Professor Wilfs colleagues, students, and collaborators. Many of the papers presented here werefeatured in the Third Waterloo Workshop on Computer Algebra (WWCA 2011, W80), held May 26-29, 2011 at Wilfri d Laurier University, Waterloo, Canada. Others were included because of their relationship to his important work incombinatorics. All are presented as a tribute to Herb Wilfs contributions to mathematics and mathematical life
Note:Springer eBooks
Contents:Foreword by Andrew M. Odlyzko
Glaishers formulas for 1/p2 and some generalizations: Gert Almkvist
Complementary Bell numbers: Arithmetical properties and Wilfs conjecture: Tewodros Amdeberhan and Valerio De Angelis and Victor H. Moll
Partitions With Early Conditions: George E. Andrews
Hypergeometric identities associated with statistics on words: George E. Andrews, Carla D. Savage, and Herbert S. Wilf
Stationary Distribution and Eigenvalues for a de Bruijn Process: Arvind Ayyer and Volker Strehl
Automatic Generation of Theorems and Proofs on Enumerating Consecutive
Wilf
ISBN:9783642309793
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer science Mathematics , Combinatorics , Number theory
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Call number:SPRINGER-2013-9783319013336:ONLINE Show nearby items on shelf
Title:The Mathematics of Coordinated Inference [electronic resource] A Study of Generalized Hat Problems
Author(s): Christopher S Hardin
Alan D Taylor
Date:2013
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Two prisoners are told that they will be brought to a room and seated so that each can see the other. Hats will be placed on their headseach hat is either red or green. The two prisoners must simultaneouslysubmit a guess oftheir own hat color, and th ey both go free if atleast one of them guesses correctly. While no communication is allowedonce the hats have been placed, they will, however, be allowed to havea strategy session before being broughtto the room. Is there astrategy ensuring their release? The answer turns out to be yes, and this is the simplest non-trivial example of a hat problem. This book deals with the question of how successfully one can predict thevalue of an arbitrary function at one or more points of its domainbased on some knowle dge of its values at other points. Topics rangefrom hat problems that are accessible to everyone willing to thinkhard, to some advanced topicsin set theory and infinitarycombinatorics. For example, there is a method of predicting the valuef(a) of a functi on f mapping the reals to the reals, based only onknowledge of f's values on the open interval (a 1, a), and foreverysuch function the prediction is incorrect only on a countable set that is nowhere dense. The monograph progresses from topics requiring f ewer prerequisites to those requiring more, with most of the text being accessible to anygraduate student in mathematics. The broad range of readership includes researchers, postdocs, and graduate students in the fields of set theory, mathematical logic, and combinatorics, The hope is that this book will bring togethermathematicians from different areas to think about set theory via a very broad array of coordinated inference problems
Note:Springer eBooks
Contents:1. Introduction
2. The Finite Setting
3. The Denumerable Setting: Full Visibility
4. The Denumerable Setting: One
Way Visibility
5. Dual Hat Problems and the Uncountable
6. Galvin's Setting: Neutral and Anonymous Predictors
7. The Topological Setting
8. Universality of the
Predictor
9. Generalizations and Galois
Tukey Connections
Bibliography
Index
ISBN:9783319013336
Series:e-books
Series:SpringerLink (Online service)
Series:Developments in Mathematics, 1389-2177 : v33
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Logic, Symbolic and mathematical , Topology
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Call number:SPRINGER-2013-9783319008882:ONLINE Show nearby items on shelf
Title:Markov's Theorem and 100 Years of the Uniqueness Conjecture [electronic resource] : A Mathematical Journey from Irrational Numbers to Perfect Matchings
Author(s): Martin Aigner
Date:2013
Publisher:Heidelberg : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
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Note:This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markovs theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything fallsinto place in the proof o f Markovs theorem.What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to theworld of graphs and words. On the way, there are als o introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraicwords. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upper-level undergraduates with somebackground in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts Numbers, Trees, Groups,Words, Finale the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematic al achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics
Note:Springer eBooks
Contents:Approximation of IrrationalNumbers
Markov's Theorem and the Uniqueness Conjecture
The Markov Tree
The Cohn Tree
The Modular Group SL(2,Z)
The Free Group F2
Christoffel Words
Sturmian Words
Proof of Markov's Theorem
The Uniqueness Conjecture.
ISBN:9783319008882
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Group theory , Combinatorics , Number theory
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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-2013-9783034805971:ONLINE Show nearby items on shelf
Title:Problem-Solving Methods in Combinatorics [electronic resource] : An Approach to Olympiad Problems
Author(s): Pablo Sobern
Date:2013
Publisher:Basel : Springer Basel : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solvedwith a very high level of wit and creativity. This book explains all theproblem-solving techniques nece ssary to tacklethese problems, with clear examples from recent contests.It also includesa large problem section for each topic, including hints and full solutions so that the reader can practice thematerial covered in the book. The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics
Note:Springer eBooks
Contents:Introduction
1 First concepts
2 The pigeonhole principle
3 Invariants
4 Graph theory
5 Functions
6 Generating Functions
7 Partitions
8 Hints for the problems
9 Solutions to the problems
Notation
Further reading
Index
ISBN:9783034805971
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Combinatorics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
Click to reserve this book Be sure to include your ID please.
More info:Amazon.com
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Full Text:Click here
Location: ONLINE

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