Applied Evolutionary Anthropology : Darwinian Approaches to Contemporary World Issues / / edited by Mhairi A. Gibson, David W. Lawson |
Edizione | [1st ed. 2014.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (302 p.) |
Disciplina |
576.8
599.93 599.93/8 599.938 |
Collana | Advances in the Evolutionary Analysis of Human Behaviour |
Soggetto topico |
Anthropology
Evolutionary biology Evolutionary Biology |
ISBN | 1-4939-0280-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1- Introduction: Applying Evolutionary Anthropology to a Changing World -- Chapter 2- Rationality and the Green Revolution -- Chapter 3- A comparison of the economic literature on microfinance and the evolutionary literature on cooperation -- Chapter 4- How development intervention drives population change in rural Africa: A case study of applied evolutionary anthropology -- Chapter 5- Family structure and health in the developing world: What can evolutionary anthropology contribute to population health science? -- Chapter 6- Declining breastfeeding rates among immigrant populations: A look through an evolutionary lens -- Chapter 7- The evolutionary demography of sex ratios in rural Bangladesh -- Chapter 8- Evolutionary anthropology, co-operation and warfare -- Chapter 9- Understanding and addressing cultural variation in costly antisocial punishment -- Chapter 10-Socioeconomic disparities in health behaviour: An evolutionary perspective -- Chapter 11- Nutrition in a changing world: How economic growth drives chronic diseases -- Chapter 12- The Evo-Eco approach to behaviour change. |
Record Nr. | UNINA-9910484748303321 |
New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Fourier Analysis : From Signal Processing to Medical Imaging / / by Tim Olson |
Autore | Olson Tim |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2017 |
Descrizione fisica | 1 online resource (XVI, 302 p. 126 illus., 118 illus. in color.) |
Disciplina | 515.2433 |
Soggetto topico |
Fourier analysis
Signal processing Image processing Speech processing systems Partial differential equations Applied mathematics Engineering mathematics Fourier Analysis Signal, Image and Speech Processing Partial Differential Equations Applications of Mathematics |
ISBN | 1-4939-7393-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction: From Linear Algebra to Linear Analysis -- Basic Fourier Series -- The Discrete Fourier Transform -- The Fourier Transform -- Sampling and Interpolation -- Digital Communications -- Radar Processing -- Image Processing -- Medical Imaging -- Partial Differential Equations. |
Record Nr. | UNINA-9910254291903321 |
Olson Tim | ||
New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 406 p.) |
Disciplina | 515.7 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Functional analysis
Mathematical analysis Analysis (Mathematics) System theory Calculus of variations Functional Analysis Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0821-1 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Hahn-Banach Theorem Optimization Problems -- 1.1 The Hahn-Banach Theorem -- 1.2 Applications to the Separation of Convex Sets -- 1.3 The Dual Space C[a,b]* -- 1.4 Applications to the Moment Problem -- 1.5 Minimum Norm Problems and Duality Theory -- 1.6 Applications to ?ebyšev Approximation -- 1.7 Applications to the Optimal Control of Rockets -- 2 Variational Principles and Weak Convergence -- 2.1 The nth Variation -- 2.2 Necessary and Sufficient Conditions for Local Extrema and the Classical Calculus of Variations -- 2.3 The Lack of Compactness in Infinite-Dimensional Banach Spaces -- 2.4 Weak Convergence -- 2.5 The Generalized Weierstrass Existence Theorem -- 2.6 Applications to the Calculus of Variations -- 2.7 Applications to Nonlinear Eigenvalue Problems -- 2.8 Reflexive Banach Spaces -- 2.9 Applications to Convex Minimum Problems and Variational Inequalities -- 2.10 Applications to Obstacle Problems in Elasticity -- 2.11 Saddle Points -- 2.12 Applications to Duality Theory -- 2.13 The von Neumann Minimax Theorem on the Existence of Saddle Points -- 2.14 Applications to Game Theory -- 2.15 The Ekeland Principle about Quasi-Minimal Points -- 2.16 Applications to a General Minimum Principle via the Palais-Smale Condition -- 2.17 Applications to the Mountain Pass Theorem -- 2.18 The Galerkin Method and Nonlinear Monotone Operators -- 2.19 Symmetries and Conservation Laws (The Noether Theorem) -- 2.20 The Basic Ideas of Gauge Field Theory -- 2.21 Representations of Lie Algebras -- 2.22 Applications to Elementary Particles -- 3 Principles of Linear Functional Analysis -- 3.1 The Baire Theorem -- 3.2 Application to the Existence of Nondifferentiable Continuous Functions -- 3.3 The Uniform Boundedness Theorem -- 3.4 Applications to Cubature Formulas -- 3.5 The Open Mapping Theorem -- 3.6 Product Spaces -- 3.7 The Closed Graph Theorem -- 3.8 Applications to Factor Spaces -- 3.9 Applications to Direct Sums and Projections -- 3.10 Dual Operators -- 3.11 The Exactness of the Duality Functor -- 3.12 Applications to the Closed Range Theorem and to Fredholm Alternatives -- 4 The Implicit Function Theorem -- 4.1 m-Linear Bounded Operators -- 4.2 The Differential of Operators and the Fréchet Derivative -- 4.3 Applications to Analytic Operators -- 4.4 Integration -- 4.5 Applications to the Taylor Theorem -- 4.6 Iterated Derivatives -- 4.7 The Chain Rule -- 4.8 The Implicit Function Theorem -- 4.9 Applications to Differential Equations -- 4.10 Diffeomorphisms and the Local Inverse Mapping Theorem -- 4.11 Equivalent Maps and the Linearization Principle -- 4.12 The Local Normal Form for Nonlinear Double Splitting Maps -- 4.13 The Surjective Implicit Function Theorem -- 4.14 Applications to the Lagrange Multiplier Rule -- 5 Fredholm Operators -- 5.1 Duality for Linear Compact Operators -- 5.2 The Riesz-Schauder Theory on Hilbert Spaces -- 5.3 Applications to Integral Equations -- 5.4 Linear Fredholm Operators -- 5.5 The Riesz-Schauder Theory on Banach Spaces -- 5.6 Applications to the Spectrum of Linear Compact Operators -- 5.7 The Parametrix -- 5.8 Applications to the Perturbation of Fredholm Operators -- 5.9 Applications to the Product Index Theorem -- 5.10 Fredholm Alternatives via Dual Pairs -- 5.11 Applications to Integral Equations and Boundary-Value Problems -- 5.12 Bifurcation Theory -- 5.13 Applications to Nonlinear Integral Equations -- 5.14 Applications to Nonlinear Boundary-Value Problems -- 5.15 Nonlinear Fredholm Operators -- 5.16 Interpolation Inequalities -- 5.17 Applications to the Navier-Stokes Equations -- References -- List of Symbols -- List of Theorems -- List of Most Important Definitions. |
Record Nr. | UNINA-9910480063503321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XXIX, 481 p.) |
Disciplina | 515 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Mathematical analysis
Analysis (Mathematics) System theory Calculus of variations Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0815-7 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Banach Spaces and Fixed-Point Theorems -- 1.1 Linear Spaces and Dimension -- 1.2 Normed Spaces and Convergence -- 1.3 Banach Spaces and the Cauchy Convergence Criterion -- 1.4 Open and Closed Sets -- 1.5 Operators -- 1.6 The Banach Fixed-Point Theorem and the Iteration Method -- 1.7 Applications to Integral Equations -- 1.8 Applications to Ordinary Differential Equations -- 1.9 Continuity -- 1.10 Convexity -- 1.11 Compactness -- 1.12 Finite-Dimensional Banach Spaces and Equivalent Norms -- 1.13 The Minkowski Functional and Homeomorphisms -- 1.14 The Brouwer Fixed-Point Theorem -- 1.15 The Schauder Fixed-Point Theorem -- 1.16 Applications to Integral Equations -- 1.17 Applications to Ordinary Differential Equations -- 1.18 The Leray-Schauder Principle and a priori Estimates -- 1.19 Sub- and Supersolutions, and the Iteration Method in Ordered Banach Spaces -- 1.20 Linear Operators -- 1.21 The Dual Space -- 1.22 Infinite Series in Normed Spaces -- 1.23 Banach Algebras and Operator Functions -- 1.24 Applications to Linear Differential Equations in Banach Spaces -- 1.25 Applications to the Spectrum -- 1.26 Density and Approximation -- 1.27 Summary of Important Notions -- 2 Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 2.1 Hilbert Spaces -- 2.2 Standard Examples -- 2.3 Bilinear Forms -- 2.4 The Main Theorem on Quadratic Variational Problems -- 2.5 The Functional Analytic Justification of the Dirichlet Principle -- 2.6 The Convergence of the Ritz Method for Quadratic Variational Problems -- 2.7 Applications to Boundary-Value Problems, the Method of Finite Elements, and Elasticity -- 2.8 Generalized Functions and Linear Functionals -- 2.9 Orthogonal Projection -- 2.10 Linear Functionals and the Riesz Theorem -- 2.11 The Duality Map -- 2.12 Duality for Quadratic Variational Problems -- 2.13 The Linear Orthogonality Principle -- 2.14 Nonlinear Monotone Operators -- 2.15 Applications to the Nonlinear Lax-Milgram Theorem and the Nonlinear Orthogonality Principle -- 3 Hilbert Spaces and Generalized Fourier Series -- 3.1 Orthonormal Series -- 3.2 Applications to Classical Fourier Series -- 3.3 The Schmidt Orthogonalization Method -- 3.4 Applications to Polynomials -- 3.5 Unitary Operators -- 3.6 The Extension Principle -- 3.7 Applications to the Fourier Transformation -- 3.8 The Fourier Transform of Tempered Generalized Functions -- 4 Eigenvalue Problems for Linear Compact Symmetric Operators -- 4.1 Symmetric Operators -- 4.2 The Hilbert-Schmidt Theory -- 4.3 The Fredholm Alternative -- 4.4 Applications to Integral Equations -- 4.5 Applications to Boundary-Eigenvalue Value Problems -- 5 Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics -- 5.1 Extensions and Embeddings -- 5.2 Self-Adjoint Operators -- 5.3 The Energetic Space -- 5.4 The Energetic Extension -- 5.5 The Friedrichs Extension of Symmetric Operators -- 5.6 Applications to Boundary-Eigenvalue Problems for the Laplace Equation -- 5.7 The Poincaré Inequality and Rellich’s Compactness Theorem -- 5.8 Functions of Self-Adjoint Operators -- 5.9 Semigroups, One-Parameter Groups, and Their Physical Relevance -- 5.10 Applications to the Heat Equation -- 5.11 Applications to the Wave Equation -- 5.12 Applications to the Vibrating String and the Fourier Method -- 5.13 Applications to the Schrödinger Equation -- 5.14 Applications to Quantum Mechanics -- 5.15 Generalized Eigenfunctions -- 5.16 Trace Class Operators -- 5.17 Applications to Quantum Statistics -- 5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics -- 5.19 The Fock Space in Quantum Field Theory and the Pauli Principle -- 5.20 A Look at Scattering Theory -- 5.21 The Language of Physicists in Quantum Physics and the Justification of the Dirac Calculus -- 5.22 The Euclidean Strategy in Quantum Physics -- 5.23 Applications to Feynman’s Path Integral -- 5.24 The Importance of the Propagator in Quantum Physics -- 5.25 A Look at Solitons and Inverse Scattering Theory -- Epilogue -- References -- Hints for Further Reading -- List of Symbols -- List of Theorems -- List of the Most Important Definitions. |
Record Nr. | UNINA-9910480363703321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis [[electronic resource] ] : Main Principles and Their Applications / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 406 p.) |
Disciplina | 515.7 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Functional analysis
Mathematical analysis Analysis (Mathematics) System theory Calculus of variations Functional Analysis Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0821-1 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Hahn-Banach Theorem Optimization Problems -- 1.1 The Hahn-Banach Theorem -- 1.2 Applications to the Separation of Convex Sets -- 1.3 The Dual Space C[a,b]* -- 1.4 Applications to the Moment Problem -- 1.5 Minimum Norm Problems and Duality Theory -- 1.6 Applications to ?ebyšev Approximation -- 1.7 Applications to the Optimal Control of Rockets -- 2 Variational Principles and Weak Convergence -- 2.1 The nth Variation -- 2.2 Necessary and Sufficient Conditions for Local Extrema and the Classical Calculus of Variations -- 2.3 The Lack of Compactness in Infinite-Dimensional Banach Spaces -- 2.4 Weak Convergence -- 2.5 The Generalized Weierstrass Existence Theorem -- 2.6 Applications to the Calculus of Variations -- 2.7 Applications to Nonlinear Eigenvalue Problems -- 2.8 Reflexive Banach Spaces -- 2.9 Applications to Convex Minimum Problems and Variational Inequalities -- 2.10 Applications to Obstacle Problems in Elasticity -- 2.11 Saddle Points -- 2.12 Applications to Duality Theory -- 2.13 The von Neumann Minimax Theorem on the Existence of Saddle Points -- 2.14 Applications to Game Theory -- 2.15 The Ekeland Principle about Quasi-Minimal Points -- 2.16 Applications to a General Minimum Principle via the Palais-Smale Condition -- 2.17 Applications to the Mountain Pass Theorem -- 2.18 The Galerkin Method and Nonlinear Monotone Operators -- 2.19 Symmetries and Conservation Laws (The Noether Theorem) -- 2.20 The Basic Ideas of Gauge Field Theory -- 2.21 Representations of Lie Algebras -- 2.22 Applications to Elementary Particles -- 3 Principles of Linear Functional Analysis -- 3.1 The Baire Theorem -- 3.2 Application to the Existence of Nondifferentiable Continuous Functions -- 3.3 The Uniform Boundedness Theorem -- 3.4 Applications to Cubature Formulas -- 3.5 The Open Mapping Theorem -- 3.6 Product Spaces -- 3.7 The Closed Graph Theorem -- 3.8 Applications to Factor Spaces -- 3.9 Applications to Direct Sums and Projections -- 3.10 Dual Operators -- 3.11 The Exactness of the Duality Functor -- 3.12 Applications to the Closed Range Theorem and to Fredholm Alternatives -- 4 The Implicit Function Theorem -- 4.1 m-Linear Bounded Operators -- 4.2 The Differential of Operators and the Fréchet Derivative -- 4.3 Applications to Analytic Operators -- 4.4 Integration -- 4.5 Applications to the Taylor Theorem -- 4.6 Iterated Derivatives -- 4.7 The Chain Rule -- 4.8 The Implicit Function Theorem -- 4.9 Applications to Differential Equations -- 4.10 Diffeomorphisms and the Local Inverse Mapping Theorem -- 4.11 Equivalent Maps and the Linearization Principle -- 4.12 The Local Normal Form for Nonlinear Double Splitting Maps -- 4.13 The Surjective Implicit Function Theorem -- 4.14 Applications to the Lagrange Multiplier Rule -- 5 Fredholm Operators -- 5.1 Duality for Linear Compact Operators -- 5.2 The Riesz-Schauder Theory on Hilbert Spaces -- 5.3 Applications to Integral Equations -- 5.4 Linear Fredholm Operators -- 5.5 The Riesz-Schauder Theory on Banach Spaces -- 5.6 Applications to the Spectrum of Linear Compact Operators -- 5.7 The Parametrix -- 5.8 Applications to the Perturbation of Fredholm Operators -- 5.9 Applications to the Product Index Theorem -- 5.10 Fredholm Alternatives via Dual Pairs -- 5.11 Applications to Integral Equations and Boundary-Value Problems -- 5.12 Bifurcation Theory -- 5.13 Applications to Nonlinear Integral Equations -- 5.14 Applications to Nonlinear Boundary-Value Problems -- 5.15 Nonlinear Fredholm Operators -- 5.16 Interpolation Inequalities -- 5.17 Applications to the Navier-Stokes Equations -- References -- List of Symbols -- List of Theorems -- List of Most Important Definitions. |
Record Nr. | UNINA-9910789342603321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis [[electronic resource] ] : Applications to Mathematical Physics / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XXIX, 481 p.) |
Disciplina | 515 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Mathematical analysis
Analysis (Mathematics) System theory Calculus of variations Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0815-7 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Banach Spaces and Fixed-Point Theorems -- 1.1 Linear Spaces and Dimension -- 1.2 Normed Spaces and Convergence -- 1.3 Banach Spaces and the Cauchy Convergence Criterion -- 1.4 Open and Closed Sets -- 1.5 Operators -- 1.6 The Banach Fixed-Point Theorem and the Iteration Method -- 1.7 Applications to Integral Equations -- 1.8 Applications to Ordinary Differential Equations -- 1.9 Continuity -- 1.10 Convexity -- 1.11 Compactness -- 1.12 Finite-Dimensional Banach Spaces and Equivalent Norms -- 1.13 The Minkowski Functional and Homeomorphisms -- 1.14 The Brouwer Fixed-Point Theorem -- 1.15 The Schauder Fixed-Point Theorem -- 1.16 Applications to Integral Equations -- 1.17 Applications to Ordinary Differential Equations -- 1.18 The Leray-Schauder Principle and a priori Estimates -- 1.19 Sub- and Supersolutions, and the Iteration Method in Ordered Banach Spaces -- 1.20 Linear Operators -- 1.21 The Dual Space -- 1.22 Infinite Series in Normed Spaces -- 1.23 Banach Algebras and Operator Functions -- 1.24 Applications to Linear Differential Equations in Banach Spaces -- 1.25 Applications to the Spectrum -- 1.26 Density and Approximation -- 1.27 Summary of Important Notions -- 2 Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 2.1 Hilbert Spaces -- 2.2 Standard Examples -- 2.3 Bilinear Forms -- 2.4 The Main Theorem on Quadratic Variational Problems -- 2.5 The Functional Analytic Justification of the Dirichlet Principle -- 2.6 The Convergence of the Ritz Method for Quadratic Variational Problems -- 2.7 Applications to Boundary-Value Problems, the Method of Finite Elements, and Elasticity -- 2.8 Generalized Functions and Linear Functionals -- 2.9 Orthogonal Projection -- 2.10 Linear Functionals and the Riesz Theorem -- 2.11 The Duality Map -- 2.12 Duality for Quadratic Variational Problems -- 2.13 The Linear Orthogonality Principle -- 2.14 Nonlinear Monotone Operators -- 2.15 Applications to the Nonlinear Lax-Milgram Theorem and the Nonlinear Orthogonality Principle -- 3 Hilbert Spaces and Generalized Fourier Series -- 3.1 Orthonormal Series -- 3.2 Applications to Classical Fourier Series -- 3.3 The Schmidt Orthogonalization Method -- 3.4 Applications to Polynomials -- 3.5 Unitary Operators -- 3.6 The Extension Principle -- 3.7 Applications to the Fourier Transformation -- 3.8 The Fourier Transform of Tempered Generalized Functions -- 4 Eigenvalue Problems for Linear Compact Symmetric Operators -- 4.1 Symmetric Operators -- 4.2 The Hilbert-Schmidt Theory -- 4.3 The Fredholm Alternative -- 4.4 Applications to Integral Equations -- 4.5 Applications to Boundary-Eigenvalue Value Problems -- 5 Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics -- 5.1 Extensions and Embeddings -- 5.2 Self-Adjoint Operators -- 5.3 The Energetic Space -- 5.4 The Energetic Extension -- 5.5 The Friedrichs Extension of Symmetric Operators -- 5.6 Applications to Boundary-Eigenvalue Problems for the Laplace Equation -- 5.7 The Poincaré Inequality and Rellich’s Compactness Theorem -- 5.8 Functions of Self-Adjoint Operators -- 5.9 Semigroups, One-Parameter Groups, and Their Physical Relevance -- 5.10 Applications to the Heat Equation -- 5.11 Applications to the Wave Equation -- 5.12 Applications to the Vibrating String and the Fourier Method -- 5.13 Applications to the Schrödinger Equation -- 5.14 Applications to Quantum Mechanics -- 5.15 Generalized Eigenfunctions -- 5.16 Trace Class Operators -- 5.17 Applications to Quantum Statistics -- 5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics -- 5.19 The Fock Space in Quantum Field Theory and the Pauli Principle -- 5.20 A Look at Scattering Theory -- 5.21 The Language of Physicists in Quantum Physics and the Justification of the Dirac Calculus -- 5.22 The Euclidean Strategy in Quantum Physics -- 5.23 Applications to Feynman’s Path Integral -- 5.24 The Importance of the Propagator in Quantum Physics -- 5.25 A Look at Solitons and Inverse Scattering Theory -- Epilogue -- References -- Hints for Further Reading -- List of Symbols -- List of Theorems -- List of the Most Important Definitions. |
Record Nr. | UNINA-9910789342903321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis : Applications to Mathematical Physics / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XXIX, 481 p.) |
Disciplina | 515 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Mathematical analysis
Analysis (Mathematics) System theory Calculus of variations Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0815-7 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Banach Spaces and Fixed-Point Theorems -- 1.1 Linear Spaces and Dimension -- 1.2 Normed Spaces and Convergence -- 1.3 Banach Spaces and the Cauchy Convergence Criterion -- 1.4 Open and Closed Sets -- 1.5 Operators -- 1.6 The Banach Fixed-Point Theorem and the Iteration Method -- 1.7 Applications to Integral Equations -- 1.8 Applications to Ordinary Differential Equations -- 1.9 Continuity -- 1.10 Convexity -- 1.11 Compactness -- 1.12 Finite-Dimensional Banach Spaces and Equivalent Norms -- 1.13 The Minkowski Functional and Homeomorphisms -- 1.14 The Brouwer Fixed-Point Theorem -- 1.15 The Schauder Fixed-Point Theorem -- 1.16 Applications to Integral Equations -- 1.17 Applications to Ordinary Differential Equations -- 1.18 The Leray-Schauder Principle and a priori Estimates -- 1.19 Sub- and Supersolutions, and the Iteration Method in Ordered Banach Spaces -- 1.20 Linear Operators -- 1.21 The Dual Space -- 1.22 Infinite Series in Normed Spaces -- 1.23 Banach Algebras and Operator Functions -- 1.24 Applications to Linear Differential Equations in Banach Spaces -- 1.25 Applications to the Spectrum -- 1.26 Density and Approximation -- 1.27 Summary of Important Notions -- 2 Hilbert Spaces, Orthogonality, and the Dirichlet Principle -- 2.1 Hilbert Spaces -- 2.2 Standard Examples -- 2.3 Bilinear Forms -- 2.4 The Main Theorem on Quadratic Variational Problems -- 2.5 The Functional Analytic Justification of the Dirichlet Principle -- 2.6 The Convergence of the Ritz Method for Quadratic Variational Problems -- 2.7 Applications to Boundary-Value Problems, the Method of Finite Elements, and Elasticity -- 2.8 Generalized Functions and Linear Functionals -- 2.9 Orthogonal Projection -- 2.10 Linear Functionals and the Riesz Theorem -- 2.11 The Duality Map -- 2.12 Duality for Quadratic Variational Problems -- 2.13 The Linear Orthogonality Principle -- 2.14 Nonlinear Monotone Operators -- 2.15 Applications to the Nonlinear Lax-Milgram Theorem and the Nonlinear Orthogonality Principle -- 3 Hilbert Spaces and Generalized Fourier Series -- 3.1 Orthonormal Series -- 3.2 Applications to Classical Fourier Series -- 3.3 The Schmidt Orthogonalization Method -- 3.4 Applications to Polynomials -- 3.5 Unitary Operators -- 3.6 The Extension Principle -- 3.7 Applications to the Fourier Transformation -- 3.8 The Fourier Transform of Tempered Generalized Functions -- 4 Eigenvalue Problems for Linear Compact Symmetric Operators -- 4.1 Symmetric Operators -- 4.2 The Hilbert-Schmidt Theory -- 4.3 The Fredholm Alternative -- 4.4 Applications to Integral Equations -- 4.5 Applications to Boundary-Eigenvalue Value Problems -- 5 Self-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics -- 5.1 Extensions and Embeddings -- 5.2 Self-Adjoint Operators -- 5.3 The Energetic Space -- 5.4 The Energetic Extension -- 5.5 The Friedrichs Extension of Symmetric Operators -- 5.6 Applications to Boundary-Eigenvalue Problems for the Laplace Equation -- 5.7 The Poincaré Inequality and Rellich’s Compactness Theorem -- 5.8 Functions of Self-Adjoint Operators -- 5.9 Semigroups, One-Parameter Groups, and Their Physical Relevance -- 5.10 Applications to the Heat Equation -- 5.11 Applications to the Wave Equation -- 5.12 Applications to the Vibrating String and the Fourier Method -- 5.13 Applications to the Schrödinger Equation -- 5.14 Applications to Quantum Mechanics -- 5.15 Generalized Eigenfunctions -- 5.16 Trace Class Operators -- 5.17 Applications to Quantum Statistics -- 5.18 C*-Algebras and the Algebraic Approach to Quantum Statistics -- 5.19 The Fock Space in Quantum Field Theory and the Pauli Principle -- 5.20 A Look at Scattering Theory -- 5.21 The Language of Physicists in Quantum Physics and the Justification of the Dirac Calculus -- 5.22 The Euclidean Strategy in Quantum Physics -- 5.23 Applications to Feynman’s Path Integral -- 5.24 The Importance of the Propagator in Quantum Physics -- 5.25 A Look at Solitons and Inverse Scattering Theory -- Epilogue -- References -- Hints for Further Reading -- List of Symbols -- List of Theorems -- List of the Most Important Definitions. |
Record Nr. | UNINA-9910812418003321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Functional Analysis : Main Principles and Their Applications / / by Eberhard Zeidler |
Autore | Zeidler Eberhard |
Edizione | [1st ed. 1995.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 |
Descrizione fisica | 1 online resource (XVI, 406 p.) |
Disciplina | 515.7 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Functional analysis
Mathematical analysis Analysis (Mathematics) System theory Calculus of variations Functional Analysis Analysis Systems Theory, Control Calculus of Variations and Optimal Control; Optimization |
ISBN | 1-4612-0821-1 |
Classificazione | 46Bxx |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 The Hahn-Banach Theorem Optimization Problems -- 1.1 The Hahn-Banach Theorem -- 1.2 Applications to the Separation of Convex Sets -- 1.3 The Dual Space C[a,b]* -- 1.4 Applications to the Moment Problem -- 1.5 Minimum Norm Problems and Duality Theory -- 1.6 Applications to ?ebyšev Approximation -- 1.7 Applications to the Optimal Control of Rockets -- 2 Variational Principles and Weak Convergence -- 2.1 The nth Variation -- 2.2 Necessary and Sufficient Conditions for Local Extrema and the Classical Calculus of Variations -- 2.3 The Lack of Compactness in Infinite-Dimensional Banach Spaces -- 2.4 Weak Convergence -- 2.5 The Generalized Weierstrass Existence Theorem -- 2.6 Applications to the Calculus of Variations -- 2.7 Applications to Nonlinear Eigenvalue Problems -- 2.8 Reflexive Banach Spaces -- 2.9 Applications to Convex Minimum Problems and Variational Inequalities -- 2.10 Applications to Obstacle Problems in Elasticity -- 2.11 Saddle Points -- 2.12 Applications to Duality Theory -- 2.13 The von Neumann Minimax Theorem on the Existence of Saddle Points -- 2.14 Applications to Game Theory -- 2.15 The Ekeland Principle about Quasi-Minimal Points -- 2.16 Applications to a General Minimum Principle via the Palais-Smale Condition -- 2.17 Applications to the Mountain Pass Theorem -- 2.18 The Galerkin Method and Nonlinear Monotone Operators -- 2.19 Symmetries and Conservation Laws (The Noether Theorem) -- 2.20 The Basic Ideas of Gauge Field Theory -- 2.21 Representations of Lie Algebras -- 2.22 Applications to Elementary Particles -- 3 Principles of Linear Functional Analysis -- 3.1 The Baire Theorem -- 3.2 Application to the Existence of Nondifferentiable Continuous Functions -- 3.3 The Uniform Boundedness Theorem -- 3.4 Applications to Cubature Formulas -- 3.5 The Open Mapping Theorem -- 3.6 Product Spaces -- 3.7 The Closed Graph Theorem -- 3.8 Applications to Factor Spaces -- 3.9 Applications to Direct Sums and Projections -- 3.10 Dual Operators -- 3.11 The Exactness of the Duality Functor -- 3.12 Applications to the Closed Range Theorem and to Fredholm Alternatives -- 4 The Implicit Function Theorem -- 4.1 m-Linear Bounded Operators -- 4.2 The Differential of Operators and the Fréchet Derivative -- 4.3 Applications to Analytic Operators -- 4.4 Integration -- 4.5 Applications to the Taylor Theorem -- 4.6 Iterated Derivatives -- 4.7 The Chain Rule -- 4.8 The Implicit Function Theorem -- 4.9 Applications to Differential Equations -- 4.10 Diffeomorphisms and the Local Inverse Mapping Theorem -- 4.11 Equivalent Maps and the Linearization Principle -- 4.12 The Local Normal Form for Nonlinear Double Splitting Maps -- 4.13 The Surjective Implicit Function Theorem -- 4.14 Applications to the Lagrange Multiplier Rule -- 5 Fredholm Operators -- 5.1 Duality for Linear Compact Operators -- 5.2 The Riesz-Schauder Theory on Hilbert Spaces -- 5.3 Applications to Integral Equations -- 5.4 Linear Fredholm Operators -- 5.5 The Riesz-Schauder Theory on Banach Spaces -- 5.6 Applications to the Spectrum of Linear Compact Operators -- 5.7 The Parametrix -- 5.8 Applications to the Perturbation of Fredholm Operators -- 5.9 Applications to the Product Index Theorem -- 5.10 Fredholm Alternatives via Dual Pairs -- 5.11 Applications to Integral Equations and Boundary-Value Problems -- 5.12 Bifurcation Theory -- 5.13 Applications to Nonlinear Integral Equations -- 5.14 Applications to Nonlinear Boundary-Value Problems -- 5.15 Nonlinear Fredholm Operators -- 5.16 Interpolation Inequalities -- 5.17 Applications to the Navier-Stokes Equations -- References -- List of Symbols -- List of Theorems -- List of Most Important Definitions. |
Record Nr. | UNINA-9910828902103321 |
Zeidler Eberhard | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1995 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Applied Hydraulic Transients / / by M. Hanif Chaudhry |
Autore | Chaudhry M. Hanif |
Edizione | [3rd ed. 2014.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 |
Descrizione fisica | 1 online resource (XIV, 583 p.) |
Disciplina | 620.1064 |
Soggetto topico |
Fluid mechanics
Civil engineering Engineering design Engineering Fluid Dynamics Civil Engineering Engineering Design |
Soggetto non controllato | Engineering equipment - Fluids - Unsteady flow |
ISBN | 1-4614-8538-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Basic Concepts -- Transient-Flow Equations -- Characteristics and Finite-Difference Methods -- Transients in Pumping Systems.-Transients in Hydroelectric Power Plants -- Transients in Cooling Water Systems -- Transients in Long Oil Pipelines -- Periodic Flows and Resonance -- Cavitation and Column Separation -- Transient Control -- Surge Tanks -- Leak and Partial Blockage Detection -- Transient Open-Channel Flows -- Appendix A. Design Charts -- Appendix B. Transients Caused by Opening or Closing a Valve -- Appendix C. Transients Caused by Power Failure to Pumps -- Appendix D. Frequency Response of a Series Piping System -- Appendix E. Water Level Oscillations in a Simple Surge Tank -- SI and English Units and Conversion Factors. |
Record Nr. | UNINA-9910299478803321 |
Chaudhry M. Hanif | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Applied Multivariate Data Analysis [[electronic resource] ] : Volume II: Categorical and Multivariate Methods / / by J.D. Jobson |
Autore | Jobson J.D |
Edizione | [1st ed. 1992.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 |
Descrizione fisica | 1 online resource (XXIX, 732 p.) |
Disciplina | 519 |
Collana | Springer Texts in Statistics |
Soggetto topico |
Applied mathematics
Engineering mathematics Statistics Medicine Applications of Mathematics Statistics for Business, Management, Economics, Finance, Insurance Statistics for Life Sciences, Medicine, Health Sciences Medicine/Public Health, general |
ISBN | 1-4612-0921-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 6 Contingency Tables -- 6.1 Multivariate Data Analysis Data Matrices and Measurement Scales -- 6.2 Two-Dimensional Contingency Tables -- 6.3 Multidimensional Contingency Tables -- 6.4 The Weighted Least Squares Approach -- Cited Literature and References -- Exercises for Chapter 6 -- Questions for Chapter 6 -- 7 Multivariate Distributions Inference Regression and Canonical Correlation -- 7.1 Multivariate Random Variables and Samples -- 7.2 The Multivariate Normal Distribution -- 7.3 Testing for Normality Outliers and Robust Estimation -- 7.4 Inference for the Multivariate Normal -- 7.5 Multivariate Regression and Canonical Correlation -- Cited Literature and References -- Exercises for Chapter 7 -- Questions for Chapter 7 -- 8 Manova Discriminant Analysis and Qualitative Response Models -- 8.1 Multivariate Analysis of Variance -- 8.2 Discriminant Analysis -- 8.3 Qualitative Response Regression Models and Logistic Regression -- 9 Principal Components Factors and Correspondence Analysis -- 9.1 Principal Components -- 9.2 The Exploratory Factor Analysis Model -- 9.3 Singular Value Decomposition and Matrix Approximation -- 9.4 Correspondence Analysis -- Cited Literature and References -- Exercises for Chapter 9 -- Questions for Chapter 9 -- 10 Cluster Analysis and Multidimensional Scaling -- 10.1 Proximity Matrices Derived from Data Matrices -- 10.2 Cluster Analysis -- 10.3 Multidimensional Scaling -- Cited Literature and References -- Exercises for Chapter 10 -- Questions for Chapter 10 -- 1. Matrix Algebra -- 1.1 Matrices -- Matrix -- Transpose of a Matrix -- Row Vector and Column Vector -- Square Matrix -- Symmetric Matrix -- Diagonal Elements -- Trace of a Matrix -- Null or Zero Matrix -- Identity Matrix -- Diagonal Matrix -- Submatrix -- 1.2 Matrix Operations -- Equality of Matrices -- Addition of Matrices -- Additive Inverse -- Scalar Multiplication of a Matrix -- Product of Two Matrices -- Multiplicative Inverse -- Idempotent Matrix -- Kronecker Product -- 1.3 Determinants and Rank -- Determinant -- Nonsingular -- Relation Between Inverse -- and Determinant -- Rank of a Matrix -- 1.4 Quadratic Forms and Positive Definite Matrices -- Quadratic Form -- Congruent Matrix -- Positive Definite -- Positive Semidefinite -- Negative Definite -- Non-negative Definite -- 1.5 Partitioned Matrices -- Product of Partitioned Matrices -- Inverse of a Parti-tioned Matrix -- Determinant of a Partitioned Matrix -- 1.6 Expectations of Random Matrices -- 1.7 Derivatives of Matrix Expressions -- 2. Linear Algebra -- 2.1 Geometric Representation for Vectors -- n Dimensional Space -- Directed Line Segment -- Coordinates -- Addition of Vectors -- Scalar Multiplication -- Length of a Vector -- Angle Between Vectors -- Orthogonal Vectors -- Projection -- 2.2 Linear Dependence And Linear Transformations -- Linearly Dependent Vectors -- Linearly Independent Vectors -- Basis for an n-Dimensional Space -- Generation of a Vector Space and Rank of a Matrix -- Linear Transformation -- Orthogonal Transformation -- Rotation -- Orthogonal Matri -- 2.3 Systems of Equations -- Solution Vector for a System of Equations -- Homoge-neous Equations — Trivial and Nontrivial Solutions -- 2.4 Column Spaces -- Projection Operators and Least -- Squares -- Column Space -- Orthogonal Complement -- Projection -- Ordinary Least Squares Solution Vector -- Idempotent Matrix — Projection Operator -- 3. Eigenvalue Structure and Singular Value Decomposition -- 3.1 Eigenvalue Structure for Square Matrices -- Eigenvalues and Eigenvectors -- Characteristic Polynomial -- Characteristic Roots -- Latent Roots -- Eigen-values -- Eigenvalues and Eignevectors for Real Symmetric Matrices and Some Properties -- Spectral Decomposition -- Matrix Approximation -- Eigenvalues for Nonnegative Definite Matrices -- 3.2 Singular Value Decomposition -- Left and Right Singular Vectors -- Complete Singular Value Decomposition -- Generalized Singular Value Decomposition -- Relationship to Spectral Decomposition and Eigenvalues -- Data Appendix For Volume II -- Data Set V1 -- Data Set V2 -- Data Set V3 -- Data Set V4 -- Data Set V5 -- Data Set V6 -- Data Set V7 -- Data Set V8 -- Data Set V9 -- Data Set V10 -- Data Set Vll -- Data Set V12 -- Data Set V13 -- Data Set V14 -- Data Set V15 -- Data Set V16 -- Data Set V17 -- Data Set V18 -- Data Set V19 -- Data Set V20 -- Data Set V21 -- Data Set V22 -- Table V1 -- Table V2 -- Table V3 -- Table V4 -- Table V5 -- Table V6 -- Table V7 -- Table V8 -- Table V9 -- Table V10 -- Table V11 -- Table V12 -- Table V13 -- Table V14 -- Table V15 -- Table V16 -- Table V17 -- Table V18 -- Table V19 -- Table V20 -- Table V21 -- Table V22 -- Author Index. |
Record Nr. | UNINA-9910480479303321 |
Jobson J.D | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 1992 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|