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Título : Geometric Optics : Theory and Design of Astronomical Optical Systems Using Mathematica® Tipo de documento: documento electrónico Autores: Romano, Antonio ; SpringerLink (Online service) Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2010 Colección: Modeling and Simulation in Science, Engineering and Technology Número de páginas: XII, 224 p. 130 illus Il.: online resource ISBN/ISSN/DL: 978-0-8176-4872-5 Idioma : Inglés (eng) Palabras clave: Physics Mathematical models Geometry Astronomy Astrophysics Cosmology Optics Optoelectronics Plasmons (Physics) Microwaves Optical engineering Optics, Optoelectronics, Plasmonics and Devices Astronomy, Physics, general Modeling Industrial Mathematics Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Additional features and topics: * Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations * Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8 * Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera * Additional supplementary material available at the publisher's website * Many worked-out examples and exercises Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics Nota de contenido: Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems -- Gaussian Optics -- Fermat#x2019;s Principle and Third-Order Aberrations -- Newtonian and Cassegrain Telescopes -- Cameras for Astronomy -- Compound Cassegrain Telescopes -- Doublets and Triplets -- Other Optical Combinations -- Fermat#x2019;s Principle and Wavefronts -- Hamiltonian Optics -- Monochromatic Third-Order Aberrations En línea: http://dx.doi.org/10.1007/978-0-8176-4872-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33545 Geometric Optics : Theory and Design of Astronomical Optical Systems Using Mathematica® [documento electrónico] / Romano, Antonio ; SpringerLink (Online service) . - Boston : Birkhäuser Boston, 2010 . - XII, 224 p. 130 illus : online resource. - (Modeling and Simulation in Science, Engineering and Technology) .
ISBN : 978-0-8176-4872-5
Idioma : Inglés (eng)
Palabras clave: Physics Mathematical models Geometry Astronomy Astrophysics Cosmology Optics Optoelectronics Plasmons (Physics) Microwaves Optical engineering Optics, Optoelectronics, Plasmonics and Devices Astronomy, Physics, general Modeling Industrial Mathematics Microwaves, RF Engineering Clasificación: 51 Matemáticas Resumen: This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. The newly presented approach to third-order aberration theory adopted is based on Fermat’s principle and the use of particular optical paths—not rays—termed stigmatic paths, allowing for easy derivation of third-order formulae. This approach enables readers to understand and handle the formulae required to design optical combinations without resorting to the much more complex Hamiltonian formalism and Seidel's relations. Additional features and topics: * Presentation of the third-order design of cameras and telescopes with the aid of Mathematica eliminates the need for tedious computer calculations * Mathematica notebooks accompanying each optical combination analyzed in the book are available for download at http://extra.springer.com/978-0-8176-4871-8 * Discussion and analysis of specific optical devices: Newtonian and Cassegrain telescopes; Schmidt, Wright, Houghton, and Maksutov cameras; and other optical combinations, such as the Klevtsov telescope and the Baker–Schmidt flat-field camera * Additional supplementary material available at the publisher's website * Many worked-out examples and exercises Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics Nota de contenido: Fermat#x2019;s Principle and General Considerations Regarding Centered Optical Systems -- Gaussian Optics -- Fermat#x2019;s Principle and Third-Order Aberrations -- Newtonian and Cassegrain Telescopes -- Cameras for Astronomy -- Compound Cassegrain Telescopes -- Doublets and Triplets -- Other Optical Combinations -- Fermat#x2019;s Principle and Wavefronts -- Hamiltonian Optics -- Monochromatic Third-Order Aberrations En línea: http://dx.doi.org/10.1007/978-0-8176-4872-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33545 Ejemplares
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Título : An Introduction to the Mathematical Theory of Dynamic Materials Tipo de documento: documento electrónico Autores: Konstantin A. Lurie ; SpringerLink (Online service) Editorial: Boston, MA : Springer US Fecha de publicación: 2007 Colección: Advances in Mechanics and Mathematics, ISSN 1571-8689 num. 15 Número de páginas: XVIII, 182 p Il.: online resource ISBN/ISSN/DL: 978-0-387-38280-7 Idioma : Inglés (eng) Palabras clave: Mathematics Partial differential equations Calculus of variations Optics Electrodynamics Vibration Dynamical systems Dynamics Structural materials Optical Electronic Differential Equations Materials and Variations Optimal Control; Optimization Vibration, Systems, Control Clasificación: 51 Matemáticas Resumen: This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics Nota de contenido: A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design En línea: http://dx.doi.org/10.1007/0-387-38280-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34463 An Introduction to the Mathematical Theory of Dynamic Materials [documento electrónico] / Konstantin A. Lurie ; SpringerLink (Online service) . - Boston, MA : Springer US, 2007 . - XVIII, 182 p : online resource. - (Advances in Mechanics and Mathematics, ISSN 1571-8689; 15) .
ISBN : 978-0-387-38280-7
Idioma : Inglés (eng)
Palabras clave: Mathematics Partial differential equations Calculus of variations Optics Electrodynamics Vibration Dynamical systems Dynamics Structural materials Optical Electronic Differential Equations Materials and Variations Optimal Control; Optimization Vibration, Systems, Control Clasificación: 51 Matemáticas Resumen: This book gives a mathematical treatment of a novel concept in material science that characterizes the properties of dynamic materials—that is, material substances whose properties are variable in space and time. Unlike conventional composites that are often found in nature, dynamic materials are mostly the products of modern technology developed to maintain the most effective control over dynamic processes. These materials have diverse applications: tunable left-handed dielectrics, optical pumping with high-energy pulse compression, and electromagnetic stealth technology, to name a few. Of special significance is the participation of dynamic materials in almost every optimal material design in dynamics. The book discusses some general features of dynamic materials as thermodynamically open systems; it gives their adequate tensor description in the context of Maxwell’s theory of moving dielectrics and makes a special emphasis on the theoretical analysis of spatio-temporal material composites (such as laminates and checkerboard structures). Some unusual applications are listed along with the discussion of some typical optimization problems in space-time via dynamic materials. Audience This book is intended for applied mathematicians interested in optimal problems of material design for systems governed by hyperbolic differential equations. It will also be useful for researchers in the field of smart metamaterials and their applications to optimal material design in dynamics Nota de contenido: A General Concept of Dynamic Materials -- An Activated Elastic Bar: Effective Properties -- Dynamic Materials in Electrodynamics of Moving Dielectrics -- G-closures of a Set of Isotropic Dielectrics with Respect to One-Dimensional Wave Propagation -- Rectangular Microstructures in Space-Time -- Some Applications of Dynamic Materials in Electrical Engineering and Optimal Design En línea: http://dx.doi.org/10.1007/0-387-38280-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34463 Ejemplares
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Título : 8th Congress on Electronic Structure: Principles and Applications (ESPA 2012) : A Conference Selection from Theoretical Chemistry Accounts Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Juan J. Novoa ; Ruiz López, Manuel F Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2014 Otro editor: Imprint: Springer Colección: Highlights in Theoretical Chemistry, ISSN 2194-8666 num. 5 Número de páginas: VI, 230 p. 137 illus., 20 illus. in color Il.: online resource ISBN/ISSN/DL: 978-3-642-41272-1 Idioma : Inglés (eng) Palabras clave: Chemistry Chemistry, Physical and theoretical Atoms Physics Materials science Theoretical Computational Atomic, Molecular, Optical Plasma Characterization Evaluation of Clasificación: 658 Empresas. Organización de empresas Resumen: This volume collects research findings presented at the 8th Edition of the Electronic Structure: Principles and Applications (ESPA-2012) International Conference, held in Barcelona, Spain on June 26-29, 2012. The contributions cover research work on methods and fundamentals of theoretical chemistry, chemical reactivity, bimolecular modeling, and materials science. Originally published in the journal Theoretical Chemistry Accounts, these outstanding papers are now available in a hardcover print format, as well as a special electronic edition. This volume provides valuable content for all researchers in theoretical chemistry, and will especially benefit those research groups and libraries with limited access to the journal Nota de contenido: From the Contents: Analysis of the origin of lateral interactions in the adsorption of small organic molecules on oxide surfaces -- First-principles study of structure and stability in Si–C–O-based materials -- A time-dependent DFT/molecular dynamics study of the proton-wire responsible for the red fluorescence in the LSSmKate2 protein -- Preface to the ESPA-2012 special issue En línea: http://dx.doi.org/10.1007/978-3-642-41272-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=36173 8th Congress on Electronic Structure: Principles and Applications (ESPA 2012) : A Conference Selection from Theoretical Chemistry Accounts [documento electrónico] / SpringerLink (Online service) ; Juan J. Novoa ; Ruiz López, Manuel F . - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014 . - VI, 230 p. 137 illus., 20 illus. in color : online resource. - (Highlights in Theoretical Chemistry, ISSN 2194-8666; 5) .
ISBN : 978-3-642-41272-1
Idioma : Inglés (eng)
Palabras clave: Chemistry Chemistry, Physical and theoretical Atoms Physics Materials science Theoretical Computational Atomic, Molecular, Optical Plasma Characterization Evaluation of Clasificación: 658 Empresas. Organización de empresas Resumen: This volume collects research findings presented at the 8th Edition of the Electronic Structure: Principles and Applications (ESPA-2012) International Conference, held in Barcelona, Spain on June 26-29, 2012. The contributions cover research work on methods and fundamentals of theoretical chemistry, chemical reactivity, bimolecular modeling, and materials science. Originally published in the journal Theoretical Chemistry Accounts, these outstanding papers are now available in a hardcover print format, as well as a special electronic edition. This volume provides valuable content for all researchers in theoretical chemistry, and will especially benefit those research groups and libraries with limited access to the journal Nota de contenido: From the Contents: Analysis of the origin of lateral interactions in the adsorption of small organic molecules on oxide surfaces -- First-principles study of structure and stability in Si–C–O-based materials -- A time-dependent DFT/molecular dynamics study of the proton-wire responsible for the red fluorescence in the LSSmKate2 protein -- Preface to the ESPA-2012 special issue En línea: http://dx.doi.org/10.1007/978-3-642-41272-1 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=36173 Ejemplares
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Título : Linearity, Symmetry, and Prediction in the Hydrogen Atom Tipo de documento: documento electrónico Autores: Singer, Stephanie Frank ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2005 Colección: Undergraduate Texts in Mathematics, ISSN 0172-6056 Número de páginas: XIV, 398 p. 50 illus Il.: online resource ISBN/ISSN/DL: 978-0-387-26369-4 Idioma : Inglés (eng) Palabras clave: Physics Group theory Applied mathematics Engineering Mechanics Elementary particles (Physics) Quantum field Atoms Atomic, Molecular, Optical and Plasma Particles, Field Theory Generalizations Mathematical Methods in Applications of Mathematics Clasificación: 51 Matemáticas Resumen: This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors. This one course can play two different but complimentary roles: it can serve as a capstone course for students finishing their education, and it can serve as motivating story for future study of mathematics. Some textbooks are like a vigorous regular physical training program, preparing people for a wide range of challenges by honing their basic skills thoroughly. Some are like a series of day hikes. This book is more like an intended trek to a particularly beautiful goal. We’ll take the easiest route to the top, and we’ll stop to appreciate local flora as well as distant peaks worthy of the vigorous training one would need to scale them. Advice to the Student: This book was written with many different readers in mind. Some will be mathematics students interested to see a beautiful and powerful application of a “pure” mathematical subject. Some will be students of physics and chemistry curious about the mathematics behind some tools they use, such as spherical harmonics. Because the readership is so varied, no single reader should be put off by occasional digressions aimed at certain other readers Nota de contenido: Setting the Stage -- Linear Algebra over the Complex Numbers -- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces) -- Lie Groups and Lie Group Representations -- New Representations from Old -- Irreducible Representations and Invariant Integration -- Representations and the Hydrogen Atom -- The Algebra so(4) Symmetry of the Hydrogen Atom -- The Group SO(4) Symmetry of the Hydrogen Atom -- Projective Representations and Spin -- Independent Events and Tensor Products En línea: http://dx.doi.org/10.1007/b136359 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35098 Linearity, Symmetry, and Prediction in the Hydrogen Atom [documento electrónico] / Singer, Stephanie Frank ; SpringerLink (Online service) . - New York, NY : Springer New York, 2005 . - XIV, 398 p. 50 illus : online resource. - (Undergraduate Texts in Mathematics, ISSN 0172-6056) .
ISBN : 978-0-387-26369-4
Idioma : Inglés (eng)
Palabras clave: Physics Group theory Applied mathematics Engineering Mechanics Elementary particles (Physics) Quantum field Atoms Atomic, Molecular, Optical and Plasma Particles, Field Theory Generalizations Mathematical Methods in Applications of Mathematics Clasificación: 51 Matemáticas Resumen: This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors. This one course can play two different but complimentary roles: it can serve as a capstone course for students finishing their education, and it can serve as motivating story for future study of mathematics. Some textbooks are like a vigorous regular physical training program, preparing people for a wide range of challenges by honing their basic skills thoroughly. Some are like a series of day hikes. This book is more like an intended trek to a particularly beautiful goal. We’ll take the easiest route to the top, and we’ll stop to appreciate local flora as well as distant peaks worthy of the vigorous training one would need to scale them. Advice to the Student: This book was written with many different readers in mind. Some will be mathematics students interested to see a beautiful and powerful application of a “pure” mathematical subject. Some will be students of physics and chemistry curious about the mathematics behind some tools they use, such as spherical harmonics. Because the readership is so varied, no single reader should be put off by occasional digressions aimed at certain other readers Nota de contenido: Setting the Stage -- Linear Algebra over the Complex Numbers -- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces) -- Lie Groups and Lie Group Representations -- New Representations from Old -- Irreducible Representations and Invariant Integration -- Representations and the Hydrogen Atom -- The Algebra so(4) Symmetry of the Hydrogen Atom -- The Group SO(4) Symmetry of the Hydrogen Atom -- Projective Representations and Spin -- Independent Events and Tensor Products En línea: http://dx.doi.org/10.1007/b136359 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=35098 Ejemplares
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Título : Magnetofluidodinamica Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; G. Agostinelli Editorial: Berlin, Heidelberg : Springer Berlin Heidelberg Fecha de publicación: 2011 Colección: C.I.M.E. Summer Schools num. 28 Número de páginas: 312 pagg. 29 figg Il.: online resource ISBN/ISSN/DL: 978-3-642-10999-7 Idioma : Italiano (ita) Palabras clave: Mathematics Partial differential equations Fluids Fluid mechanics Microwaves Optical engineering Differential Equations Engineering Dynamics Microwaves, RF and Fluid- Aerodynamics Clasificación: 51 Matemáticas Resumen: G. Agostinelli: Problemi speciali in magnetofluidodinamica.- G. Carini: Sul concetto di pressione in magnetofluidodinamica e nel caso di un fluido dielettrico in presenza di un campo elettrico.- V.C.A. Ferrario: Magneto-idrodinamica.- R. Nardini: 1. Su un caso particolare di onde magnetoacustiche. 2. Su un particolare campo magnetofluidodinamico sinusoidale in un mezzo viscoso.- A.G. Pacholczyk: Sulla instabilità gravitazionale e magnetogravitazionale di sistemi compressibili.- U. Schmidt: Wave propagation in M.F.D.- T. Zeuli: Su moti stazionari in magnetofluidodinamica Nota de contenido: G. Agostinelli: Problemi speciali in magnetofluidodinamica -- G. Carini: Sul concetto di pressione in magnetofluidodinamica e nel caso di un fluido dielettrico in presenza di un campo elettrico -- V.C.A. Ferrario: Magneto-idrodinamica -- R. Nardini: 1. Su un caso particolare di onde magnetoacustiche. 2. Su un particolare campo magnetofluidodinamico sinusoidale in un mezzo viscoso -- A.G. Pacholczyk: Sulla instabilità gravitazionale e magnetogravitazionale di sistemi compressibili -- U. Schmidt: Wave propagation in M.F.D -- T. Zeuli: Su moti stazionari in magnetofluidodinamica En línea: http://dx.doi.org/10.1007/978-3-642-10999-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33317 Magnetofluidodinamica [documento electrónico] / SpringerLink (Online service) ; G. Agostinelli . - Berlin, Heidelberg : Springer Berlin Heidelberg, 2011 . - 312 pagg. 29 figg : online resource. - (C.I.M.E. Summer Schools; 28) .
ISBN : 978-3-642-10999-7
Idioma : Italiano (ita)
Palabras clave: Mathematics Partial differential equations Fluids Fluid mechanics Microwaves Optical engineering Differential Equations Engineering Dynamics Microwaves, RF and Fluid- Aerodynamics Clasificación: 51 Matemáticas Resumen: G. Agostinelli: Problemi speciali in magnetofluidodinamica.- G. Carini: Sul concetto di pressione in magnetofluidodinamica e nel caso di un fluido dielettrico in presenza di un campo elettrico.- V.C.A. Ferrario: Magneto-idrodinamica.- R. Nardini: 1. Su un caso particolare di onde magnetoacustiche. 2. Su un particolare campo magnetofluidodinamico sinusoidale in un mezzo viscoso.- A.G. Pacholczyk: Sulla instabilità gravitazionale e magnetogravitazionale di sistemi compressibili.- U. Schmidt: Wave propagation in M.F.D.- T. Zeuli: Su moti stazionari in magnetofluidodinamica Nota de contenido: G. Agostinelli: Problemi speciali in magnetofluidodinamica -- G. Carini: Sul concetto di pressione in magnetofluidodinamica e nel caso di un fluido dielettrico in presenza di un campo elettrico -- V.C.A. Ferrario: Magneto-idrodinamica -- R. Nardini: 1. Su un caso particolare di onde magnetoacustiche. 2. Su un particolare campo magnetofluidodinamico sinusoidale in un mezzo viscoso -- A.G. Pacholczyk: Sulla instabilità gravitazionale e magnetogravitazionale di sistemi compressibili -- U. Schmidt: Wave propagation in M.F.D -- T. Zeuli: Su moti stazionari in magnetofluidodinamica En línea: http://dx.doi.org/10.1007/978-3-642-10999-7 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33317 Ejemplares
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