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A readable introduction to real mathematics / Daniel Rosenthal, David Rosenthal, Peter Rosenthal
| A readable introduction to real mathematics / Daniel Rosenthal, David Rosenthal, Peter Rosenthal |
| Autore | Rosenthal, Daniel |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2018 |
| Descrizione fisica | xviii, 218 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Rosenthal, David
Rosenthal, Peter |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11Axx - Elementary number theory [MSC 2020] 51-XX - Geometry [MSC 2020] 97-XX - Mathematics education [MSC 2020] 03E10 - Ordinal and cardinal numbers [MSC 2020] |
| Soggetto non controllato |
Cardinality
Complex numbers Fermat's theorem Mathematical induction Natural numbers RSA method Trisection of angles |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124516 |
Rosenthal, Daniel
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| Cham, : Springer, 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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A readable introduction to real mathematics / Daniel Rosenthal, David Rosenthal, Peter Rosenthal
| A readable introduction to real mathematics / Daniel Rosenthal, David Rosenthal, Peter Rosenthal |
| Autore | Rosenthal, Daniel |
| Pubbl/distr/stampa | Cham, : Springer, 2014 |
| Descrizione fisica | XII, 161 p. : ill. ; 24 cm |
| Altri autori (Persone) |
Rosenthal, David
Rosenthal, Peter |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
51-XX - Geometry [MSC 2020] 97-XX - Mathematics education [MSC 2020] |
| Soggetto non controllato |
Cardinality
Complex numbers Fermat's theorem Mathematical induction Natural numbers RSA method Trisection of angles |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0103404 |
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Rosenthal, Daniel
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| Cham, : Springer, 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko
| The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129), Volume 129 / / C. Bushnell, P. C. Kutzko |
| Autore | Bushnell C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (327 pages) : illustrations |
| Disciplina | 512/.2 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Representations of groups
Nonstandard mathematical analysis |
| Soggetto non controllato |
Abelian group
Abuse of notation Additive group Affine Hecke algebra Algebra homomorphism Approximation Automorphism Bijection Block matrix Calculation Cardinality Classical group Computation Conjecture Conjugacy class Contradiction Corollary Coset Critical exponent Diagonal matrix Dimension (vector space) Dimension Discrete series representation Discrete valuation ring Divisor Eigenvalues and eigenvectors Equivalence class Exact sequence Exactness Existential quantification Explicit formula Explicit formulae (L-function) Field extension Finite group Functor Gauss sum General linear group Group theory Haar measure Harmonic analysis Hecke algebra Homomorphism Identity matrix Induced representation Integer Irreducible representation Isomorphism class Iwahori subgroup Jordan normal form Levi decomposition Local Langlands conjectures Local field Locally compact group Mathematics Matrix coefficient Maximal compact subgroup Maximal ideal Multiset Normal subgroup P-adic number Permutation matrix Polynomial Profinite group Quantity Rational number Reductive group Representation theory Requirement Residue field Ring (mathematics) Scientific notation Simple module Special case Sub"ient Subgroup Subset Support (mathematics) Symmetric group Tensor product Terminology Theorem Topological group Topology Vector space Weil group Weyl group |
| ISBN | 1-4008-8249-4 |
| Classificazione | SK 340 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Introduction -- Comments for the reader -- 1. Exactness and intertwining -- 2. The structure of simple strata -- 3. The simple characters of a simple stratum -- 4. Interlude with Hecke algebra -- 5. Simple types -- 6. Maximal types -- 7. Typical representations -- 8. Atypical representations -- References -- Index of notation and terminology |
| Record Nr. | UNINA-9910154750803321 |
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Bushnell C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Amazing and Aesthetic Aspects of Analysis / Paul Loya
| Amazing and Aesthetic Aspects of Analysis / Paul Loya |
| Autore | Loya, Paul |
| Pubbl/distr/stampa | New York, : Springer, 2017 |
| Descrizione fisica | xv, 722 p. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
40-XX - Sequences, series, summability [MSC 2020] |
| Soggetto non controllato |
Cardinality
Fundamental theorems of continuous functions Infinite sequences of real numbers Infinite series Mathematical induction Real analysis |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0124388 |
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Loya, Paul
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| New York, : Springer, 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer
| Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer |
| Autore | Penner R. C. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (233 pages) : illustrations |
| Disciplina | 511/.6 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Geodesics (Mathematics)
CW complexes Combinatorial analysis |
| Soggetto non controllato |
Ambient isotopy
Analytic function Axiom Brouwer fixed-point theorem CW complex Cantor set Cardinality Change of basis Coefficient Combinatorics Compactification (mathematics) Conjugacy class Connected component (graph theory) Connectivity (graph theory) Coordinate system Cotangent space Covering space Deformation theory Dehn twist Diffeomorphism Differential topology Disjoint sets Disjoint union Disk (mathematics) Eigenvalues and eigenvectors Embedding Equation Equivalence class (music) Equivalence class Equivalence relation Euclidean space Euler characteristic Explicit formula Explicit formulae (L-function) Fiber bundle Foliation Fuchsian group Geodesic curvature Geometry Harmonic function Homeomorphism Homotopy Horocycle Hyperbolic geometry Hyperbolic motion Hyperbolic space Incidence matrix Inequality (mathematics) Infimum and supremum Injective function Intersection (set theory) Intersection number (graph theory) Intersection number Interval (mathematics) Invariance of domain Invariant measure Jordan curve theorem Kähler manifold Lexicographical order Linear map Linear subspace Mapping class group Mathematical induction Monogon Natural topology Orientability Pair of pants (mathematics) Parallel curve Parametrization Parity (mathematics) Projective space Quadratic differential Scientific notation Sign (mathematics) Special case Spectral radius Standard basis Subsequence Subset Summation Support (mathematics) Symplectic geometry Symplectomorphism Tangent space Tangent vector Tangent Teichmüller space Theorem Topological space Topology Total order Train track (mathematics) Transitive relation Transpose Transversality (mathematics) Transverse measure Uniformization theorem Unit tangent bundle Unit vector Vector field |
| ISBN | 1-4008-8245-1 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography |
| Record Nr. | UNINA-9910154745603321 |
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Penner R. C.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks
| Degrees of Unsolvability. (AM-55), Volume 55 / / Gerald E. Sacks |
| Autore | Sacks Gerald E. |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (189 pages) |
| Disciplina | 517.5 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Recursive functions
Unsolvability (Mathematical logic) |
| Soggetto non controllato |
Addition
Aleph number Algebraic topology Approximation Arithmetic function Arithmetical set Axiom of choice Baire category theorem Cardinality of the continuum Cardinality Cartesian product Category theory Commutative property Conjecture Continuum hypothesis Contradiction Corollary Countable set Disjoint union Effective method Empty set Enumeration Equation Existence theorem Existential quantification Finite set Fixed-point theorem Fourier analysis Fubini's theorem Gödel numbering Identity function Inequality (mathematics) Infimum and supremum Integer Lebesgue measure Limit of a sequence Limit point Mathematical induction Mathematics Mean of a function Measure (mathematics) Metric space Monotonic function Mostowski Mutual exclusivity Natural number Null set Open set Partial function Partially ordered set Predicate (mathematical logic) Product measure Product topology Real number Recursion Recursive set Recursively enumerable set Reductio ad absurdum Regular space Requirement Scientific notation Sequence Set (mathematics) Simultaneous equations Subset Theorem Topology Transfinite induction Tychonoff's theorem Uncountable set Union (set theory) Upper and lower bounds Variable (mathematics) W0 Well-order Without loss of generality Zorn's lemma |
| ISBN | 1-4008-8184-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface to revised edition -- Contents -- §1. Preliminaries -- §2 . A Continuum of Mutually Incomparable Degrees -- §3. Uncountable Suborderings of Degrees -- §4. The Priority Method Of Friedberg and Muchnik -- §5. An Existence Theorem For Recursively Enumerable Degrees -- §6 . The Jump Operator -- §7. An Interpolation Theorem for Recursively Enumerable Degrees -- §8. Minimal Upper Bounds for Sequences of Degrees -- §9. Minimal Degrees -- §10. Measure-Theoretic, Category and Descriptive Set-Theoretic Arguments -- §11. Initial Segments of Degrees -- §12. Further Results and Conjectures -- Bibliography |
| Record Nr. | UNINA-9910154752603321 |
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Sacks Gerald E.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910786510103321 |
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Rubin Karl
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| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Euler systems / / by Karl Rubin
| Euler systems / / by Karl Rubin |
| Autore | Rubin Karl |
| Pubbl/distr/stampa | Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 |
| Descrizione fisica | 1 online resource (241 p.) |
| Disciplina | 512/.74 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Algebraic number theory
p-adic numbers |
| Soggetto non controllato |
Abelian extension
Abelian variety Absolute Galois group Algebraic closure Barry Mazur Big O notation Birch and Swinnerton-Dyer conjecture Cardinality Class field theory Coefficient Cohomology Complex multiplication Conjecture Corollary Cyclotomic field Dimension (vector space) Divisibility rule Eigenvalues and eigenvectors Elliptic curve Error term Euler product Euler system Exact sequence Existential quantification Field of fractions Finite set Functional equation Galois cohomology Galois group Galois module Gauss sum Global field Heegner point Ideal class group Integer Inverse limit Inverse system Karl Rubin Local field Mathematical induction Maximal ideal Modular curve Modular elliptic curve Natural number Orthogonality P-adic number Pairing Principal ideal R-factor (crystallography) Ralph Greenberg Remainder Residue field Ring of integers Scientific notation Selmer group Subgroup Tate module Taylor series Tensor product Theorem Upper and lower bounds Victor Kolyvagin |
| ISBN |
0-691-05075-9
1-4008-6520-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Acknowledgments / Rubin, Karl -- Introduction -- Chapter 1. Galois Cohomology of p-adic Representations -- Chapter 2. Euler Systems: Definition and Main Results -- Chapter 3. Examples and Applications -- Chapter 4. Derived Cohomology Classes -- Chapter 5. Bounding the Selmer Group -- Chapter 6. Twisting -- Chapter 7. Iwasawa Theory -- Chapter 8. Euler Systems and p-adic L-functions -- Chapter 9. Variants -- Appendix A. Linear Algebra -- Appendix B. Continuous Cohomology and Inverse Limits -- Appendix C. Cohomology of p-adic Analytic Groups -- Appendix D. p-adic Calculations in Cyclotomic Fields -- Bibliography -- Index of Symbols -- Subject Index |
| Record Nr. | UNINA-9910816804403321 |
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Rubin Karl
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| Princeton, New Jersey ; ; Chichester, England : , : Princeton University Press, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910785659103321 |
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Mesbahi Mehran
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| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt
| Graph theoretic methods in multiagent networks / / Mehran Mesbahi and Magnus Egerstedt |
| Autore | Mesbahi Mehran |
| Edizione | [STU student edition] |
| Pubbl/distr/stampa | Princeton : , : Princeton University Press, , [2010] |
| Descrizione fisica | 1 online resource (424 pages) |
| Disciplina | 006.3 |
| Collana | Princeton series in applied mathematics |
| Soggetto topico |
Network analysis (Planning) - Graphic methods
Multiagent systems - Mathematical models |
| Soggetto non controllato |
Addition
Adjacency matrix Algebraic graph theory Algorithm Automorphism Bipartite graph Cardinality Cartesian product Circulant graph Combinatorics Complete graph Computation Connectivity (graph theory) Controllability Convex combination Corollary Cycle graph (algebra) Cycle space Degree (graph theory) Degree matrix Diagonal matrix Diameter Differentiable function Dimension Directed graph Division by zero Dynamical system Eigenvalues and eigenvectors Equilibrium point Estimation Estimator Existential quantification Extremal graph theory Graph (discrete mathematics) Graph theory Identity matrix Incidence matrix Information exchange Initial condition Interconnection Iteration Kalman filter Kronecker product LTI system theory LaSalle's invariance principle Laplacian matrix Least squares Line graph Linear map Lipschitz continuity Lyapunov function Lyapunov stability Markov chain Mathematical optimization Matrix exponential Measurement Multi-agent system Nash equilibrium Natural number Network topology Nonnegative matrix Notation Observability Optimal control Optimization problem Pairwise Parameter Path graph Permutation matrix Permutation Positive semidefinite Positive-definite matrix Probability Quantity Random graph Random variable Rate of convergence Requirement Result Robotics Scientific notation Sensor Sign (mathematics) Simplicial complex Special case Spectral graph theory Stochastic matrix Strongly connected component Subset Summation Supergraph Symmetric matrix Systems theory Theorem Theory Unit interval Upper and lower bounds Variable (mathematics) Vector space Without loss of generality |
| ISBN |
9781400835355 (electronic book)
1-282-97910-8 9786612979101 1-4008-3535-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Preface -- Notation -- PART 1. FOUNDATIONS -- Chapter 1. Introduction -- Chapter 2. Graph Theory -- Chapter 3. The Agreement Protocol: Part I-The Static Case -- Chapter 4. The Agreement Protocol: Part II-Lyapunov and LaSalle -- Chapter 5. Probabilistic Analysis of Networks and Protocols -- PART 2. MULTIAGENT NETWORKS -- Chapter 6. Formation Control -- Chapter 7. Mobile Robots -- Chapter 8. Distributed Estimation -- Chapter 9. Social Networks, Epidemics, and Games -- PART 3. NETWORKS AS SYSTEMS -- Chapter 10. Agreement with Inputs and Outputs -- Chapter 11. Synthesis of Networks -- Chapter 12. Dynamic Graph Processes -- Chapter 13. Higher-order Networks -- Appendix A. -- Bibliography -- Index |
| Record Nr. | UNINA-9910816716403321 |
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Mesbahi Mehran
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| Princeton : , : Princeton University Press, , [2010] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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