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18.704 Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry (MIT) 18.704 Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry (MIT)

Description

In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry. In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry.

Subjects

Computational algebra | Computational algebra | algebraic geometry | algebraic geometry | Geometry | Geometry | Algebra | Algebra | Algorithms | Algorithms | Groebner Bases | Groebner Bases | Elimination Theory | Elimination Theory | Algebra-Geometry Dictionary | Algebra-Geometry Dictionary | Polynomial Functions | Polynomial Functions | Rational Functions | Rational Functions | Geometric Theorem Proving | Geometric Theorem Proving | Invariant Theory of Finite Groups | Invariant Theory of Finite Groups | Projective Algebraic Geometry | Projective Algebraic Geometry

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.704 Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic Geometry (MIT)

Description

In this undergraduate level seminar series, topics vary from year to year. Students present and discuss the subject matter, and are provided with instruction and practice in written and oral communication. Some experience with proofs required. The topic for fall 2008: Computational algebra and algebraic geometry.

Subjects

Computational algebra | algebraic geometry | Geometry | Algebra | Algorithms | Groebner Bases | Elimination Theory | Algebra-Geometry Dictionary | Polynomial Functions | Rational Functions | Geometric Theorem Proving | Invariant Theory of Finite Groups | Projective Algebraic Geometry

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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Geometría Gráfica Informática en Arquitectura I Geometría Gráfica Informática en Arquitectura I

Description

Teoría geométrica del objeto arquitectónico con herramientas informáticas. Esta asignatura se ocupa del estudio de las formas espaciales relacionadas con la arquitectura y de su representación, mediante el uso de los medios informáticos. Puede considerarse, en parte, como una profundización y ampliación de los conocimientos adquiridos por el alumno en Geometría Descriptiva; por otro lado, supone la aplicación, según los medios informáticos, de conceptos referentes a la expresión gráfica aprendidos en otras asignaturas de este mismo Área. Teoría geométrica del objeto arquitectónico con herramientas informáticas. Esta asignatura se ocupa del estudio de las formas espaciales relacionadas con la arquitectura y de su representación, mediante el uso de los medios informáticos. Puede considerarse, en parte, como una profundización y ampliación de los conocimientos adquiridos por el alumno en Geometría Descriptiva; por otro lado, supone la aplicación, según los medios informáticos, de conceptos referentes a la expresión gráfica aprendidos en otras asignaturas de este mismo Área.

Subjects

Bóveda | Bóveda | Expresión Gráfica en la Ingeniería | Expresión Gráfica en la Ingeniería | Módulo | Módulo | 3D network | 3D network | Laboratorios Jorba | Laboratorios Jorba | Modelado | Modelado | Extrusión | Extrusión | Construcciones Arquitectónicas | Construcciones Arquitectónicas | Red plana | Red plana | Mezquita Mihrimah | Mezquita Mihrimah | Orden toscano | Orden toscano | Dome | Dome | Platonic solids | Platonic solids | Dibujo | Dibujo | Booleana | Booleana | Graphic | Graphic | Solid | Solid | Dibujo 3D | Dibujo 3D | Arquitecto | Arquitecto | Architect | Architect | Poliedros semirregulares | Poliedros semirregulares | Hiperboloides | Hiperboloides | Polyhedron | Polyhedron | NURBS | NURBS | Render | Render | Malla | Malla | Computing | Computing | Ermita de la Virgen del Puerto | Ermita de la Virgen del Puerto | Surface | Surface | Particiones | Particiones | Historia del Arte | Historia del Arte | Poliedros regulares | Poliedros regulares | Red 3D | Red 3D | Choisy | Choisy | Axonometric | Axonometric | Network | Network | Pattern | Pattern | Geométrico | Geométrico | Mosque | Mosque | Spatial | Spatial | Sinan | Sinan | Red | Red | 3D | 3D | Form | Form | Perspectiva | Perspectiva | Ordenador | Ordenador | Ismael Garcia Rios | Ismael Garcia Rios | Lacería | Lacería | Paraboloides | Paraboloides | Axonometría | Axonometría | Souto de Moura | Souto de Moura | Revolve | Revolve | Kingo Houses | Kingo Houses | Santa María del Naranco | Santa María del Naranco | Pedro de Ribera | Pedro de Ribera | Regular tessellations | Regular tessellations | Expresión Gráfica Arquitectónica | Expresión Gráfica Arquitectónica | Architecture | Architecture | Molina de Aragón | Molina de Aragón | Tessellations | Tessellations | Ponte de Lima | Ponte de Lima | Arabesco | Arabesco | compactación | compactación | Pantheon | Pantheon | Computer | Computer | Eduardo Torroja | Eduardo Torroja | Fernández del Amo | Fernández del Amo | Ribbed vault | Ribbed vault | Organic architecture | Organic architecture | Superficie cuádrica | Superficie cuádrica | Arquitectura | Arquitectura | Miguel Fisac | Miguel Fisac | Crecimiento orgánico | Crecimiento orgánico | Autocad | Autocad | Symmetrical polyhedra | Symmetrical polyhedra | Rhinoceros | Rhinoceros | Domical vault | Domical vault | Templete de los Evangelistas | Templete de los Evangelistas | Gráfica | Gráfica | Luigi Canina | Luigi Canina | MicroStation | MicroStation | Irregular tessellations | Irregular tessellations | Patio de los Evangelistas | Patio de los Evangelistas | Composición Arquitectónica | Composición Arquitectónica | Sabil | Sabil | Modelling | Modelling | quadric surface | quadric surface | Mesh | Mesh | Panteón | Panteón | Monasterio de El Escorial | Monasterio de El Escorial | Superficie | Superficie | Tunnel vault | Tunnel vault | Vegaviana | Vegaviana | Iglesia Santos Apóstoles | Iglesia Santos Apóstoles | Proyectos Arquitectónicos | Proyectos Arquitectónicos | Parabólicos | Parabólicos | Geometry | Geometry | Carmen Garcia Reig | Carmen Garcia Reig | Expression | Expression | Cuba hiperbólica | Cuba hiperbólica | Red espacial | Red espacial | Geometría | Geometría | skeletal polyhedra | skeletal polyhedra | Bóveda de rincón de claustro | Bóveda de rincón de claustro | Sólido | Sólido | Poliedros platónicos | Poliedros platónicos | Hiperbólicos | Hiperbólicos | Perspective | Perspective | Mimbar | Mimbar | Fedala | Fedala | Furniture | Furniture | Polygon | Polygon | Hyperbolic | Hyperbolic | Bóveda de arista | Bóveda de arista | Revolución | Revolución | Cúpula | Cúpula | Bóveda de cañón | Bóveda de cañón | Estructura | Estructura | Expresión | Expresión | Computer aided design | Computer aided design | Informática | Informática | Hollow faced polyhedra | Hollow faced polyhedra | Flexible | Flexible | Geometric | Geometric | CAD | CAD | Formas | Formas | Bóveda de crucería | Bóveda de crucería | Infografía | Infografía | Polyhedra | Polyhedra | Groin vault | Groin vault | Plane | Plane | Architectural | Architectural | Plano | Plano | Structure | Structure | Architectural drawing | Architectural drawing | Arquitectónica | Arquitectónica | Barrel vault | Barrel vault | Arabesque | Arabesque | Sombra | Sombra | Utzon | Utzon | Escher | Escher | Mueble | Mueble | Vault | Vault | Annular vault | Annular vault | Egipto | Egipto | Polígono | Polígono | Archimedean solids | Archimedean solids | Poliedros arquimedianos | Poliedros arquimedianos | Egypt | Egypt | Paraboloid | Paraboloid | Module | Module | Extrude | Extrude | Boolean | Boolean | Tuscan Order | Tuscan Order | Hyperboloid | Hyperboloid | Poliedros vacuus | Poliedros vacuus

License

Copyright 2009, by the Contributing Authors http://creativecommons.org/licenses/by-nc-sa/3.0/

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18.701 Algebra I (MIT) 18.701 Algebra I (MIT)

Description

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups. This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Group Theory | Linear Algebra | and Geometry | Linear Algebra | and Geometry | groups | groups | vector spaces | vector spaces | linear transformations | linear transformations | symmetry groups | symmetry groups | bilinear | bilinear | bilinear forms | and linear groups | bilinear forms | and linear groups

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.701 Algebra I (MIT) 18.701 Algebra I (MIT)

Description

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups. This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Group Theory | Linear Algebra | Linear Algebra | Geometry | Geometry | groups | groups | vector spaces | vector spaces | linear transformations | linear transformations | symmetry groups | symmetry groups | bilinear forms | bilinear forms | linear groups | linear groups

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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Geometría Gráfica Informática en Arquitectura II Geometría Gráfica Informática en Arquitectura II

Description

La asignatura trata de la profundización en el estudio geométrico con medios informáticos del hecho arquitectónico, considerado globalmente desde su complejidad espacial, compositiva, constructiva y estructural. La asignatura trata de la profundización en el estudio geométrico con medios informáticos del hecho arquitectónico, considerado globalmente desde su complejidad espacial, compositiva, constructiva y estructural.

Subjects

Bóveda | Bóveda | Patio de los Reyes | Patio de los Reyes | Expresión Gráfica en la Ingeniería | Expresión Gráfica en la Ingeniería | Módulo | Módulo | 3D network | 3D network | Andrea Palladio | Andrea Palladio | Modelado | Modelado | Extrusión | Extrusión | Construcciones Arquitectónicas | Construcciones Arquitectónicas | Dome | Dome | Tracery | Tracery | Rothwell – Northamptonshire | Rothwell – Northamptonshire | Los Manantiales | Los Manantiales | Dibujo | Dibujo | Paraboloid | Paraboloid | Graphic | Graphic | Solid | Solid | Dibujo 3D | Dibujo 3D | Arquitecto | Arquitecto | Architect | Architect | Hiperboloides | Hiperboloides | geodesic dome | geodesic dome | Render | Render | Malla | Malla | Computing | Computing | Catedral de León | Catedral de León | Surface | Surface | Historia del Arte | Historia del Arte | Red 3D | Red 3D | Gráfica | Gráfica | Geométrico | Geométrico | Spatial | Spatial | Red | Red | 3D | 3D | Form | Form | Hiperbólicos | Hiperbólicos | Ordenador | Ordenador | Ismael Garcia Rios | Ismael Garcia Rios | Booleana | Booleana | Paraboloides | Paraboloides | Axonometría | Axonometría | Revolve | Revolve | NURBS | NURBS | Félix Candela | Félix Candela | Rascacielos | Rascacielos | Expresión Gráfica Arquitectónica | Expresión Gráfica Arquitectónica | Architecture | Architecture | Minerva Médica | Minerva Médica | Bars | Bars | Barajas | Barajas | Computer | Computer | Skycraper | Skycraper | Superficie cuádrica | Superficie cuádrica | Arquitectura | Arquitectura | Autocad | Autocad | San Vicente de Coyoacán | San Vicente de Coyoacán | Rhinoceros | Rhinoceros | El Escorial | El Escorial | MicroStation | MicroStation | Composición Arquitectónica | Composición Arquitectónica | Modelling | Modelling | quadric surface | quadric surface | Mesh | Mesh | joints | joints | Superficie | Superficie | Nudos | Nudos | Proyectos Arquitectónicos | Proyectos Arquitectónicos | Parabólicos | Parabólicos | Geometry | Geometry | Estructura parabólica | Estructura parabólica | Carmen Garcia Reig | Carmen Garcia Reig | Ventana Gótica | Ventana Gótica | Expression | Expression | Tunnel vault | Tunnel vault | Red espacial | Red espacial | Geometría | Geometría | Sólido | Sólido | Perspectiva | Perspectiva | Church | Church | Cathedral | Cathedral | Minerva Medica Temple | Minerva Medica Temple | Hyperbolic | Hyperbolic | Bóveda de arista | Bóveda de arista | Revolución | Revolución | Cúpula | Cúpula | Estructura | Estructura | Expresión | Expresión | Computer aided design | Computer aided design | Informática | Informática | Rose window | Rose window | Geometric | Geometric | CAD | CAD | Formas | Formas | Infografía | Infografía | Kenilworth Castle | Kenilworth Castle | Plane | Plane | Architectural | Architectural | Barras | Barras | Plano | Plano | Structure | Structure | Architectural drawing | Architectural drawing | Arquitectónica | Arquitectónica | T4 | T4 | Cúpula geodésica | Cúpula geodésica | Ribbed vault | Ribbed vault | Tracería | Tracería | Vault | Vault | Module | Module | Extrude | Extrude | Rosetón | Rosetón | Boolean | Boolean | Hyperboloid | Hyperboloid | Hypar | Hypar

License

Copyright 2009, by the Contributing Authors http://creativecommons.org/licenses/by-nc-sa/3.0/

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18.994 Seminar in Geometry (MIT) 18.994 Seminar in Geometry (MIT)

Description

In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman's classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140. In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman's classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.

Subjects

Minimal Surfaces | Minimal Surfaces | Differential Geometry of Curves and Surfaces | Differential Geometry of Curves and Surfaces | Calculus on Manifolds | Calculus on Manifolds | Complex Analysis | Complex Analysis | Scientific Graphics | Scientific Graphics

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.S997 The Polynomial Method (MIT) 18.S997 The Polynomial Method (MIT)

Description

This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade. The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis. This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade. The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis.

Subjects

polynomial method | polynomial method | combinatorics | combinatorics | Kakeya Problem | Kakeya Problem | Incidence Geometry | Incidence Geometry | Algebraic Structure | Algebraic Structure | Cell Decompositions | Cell Decompositions | Ruled Surfaces | Ruled Surfaces | Projection Theory | Projection Theory

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.701 Algebra I (MIT) 18.701 Algebra I (MIT)

Description

The subjects to be covered include groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups. The subjects to be covered include groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Group Theory | Linear Algebra | and Geometry | Linear Algebra | and Geometry | groups | groups | vector spaces | vector spaces | linear transformations | linear transformations | symmetry groups | symmetry groups | bilinear | bilinear | bilinear forms | and linear groups | bilinear forms | and linear groups

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see http://ocw.mit.edu/terms/index.htm

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18.S997 The Polynomial Method (MIT)

Description

This course offers an introduction to the polynomial method as applied to solving problems in combinatorics in the last decade. The course also explores the connections between the polynomial method as used in these problems to the polynomial method in other fields, including computer science, number theory, and analysis.

Subjects

polynomial method | combinatorics | Kakeya Problem | Incidence Geometry | Algebraic Structure | Cell Decompositions | Ruled Surfaces | Projection Theory

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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18.701 Algebra I (MIT)

Description

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Linear Algebra | Geometry | groups | vector spaces | linear transformations | symmetry groups | bilinear forms | linear groups

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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18.701 Algebra I (MIT)

Description

The subjects to be covered include groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Linear Algebra | and Geometry | groups | vector spaces | linear transformations | symmetry groups | bilinear | bilinear forms | and linear groups

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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18.994 Seminar in Geometry (MIT)

Description

In this course, students take turns in giving lectures. For the most part, the lectures are based on Robert Osserman's classic book A Survey of Minimal Surfaces, Dover Phoenix Editions. New York: Dover Publications, May 1, 2002. ISBN: 0486495140.

Subjects

Minimal Surfaces | Differential Geometry of Curves and Surfaces | Calculus on Manifolds | Complex Analysis | Scientific Graphics

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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Construction TurboTeach: Arches

Description

The resource commences with a brief indroduction to the use of arches in construction including the basic terms used to describe the components.

Subjects

TurboTeach; construction Skills | Vocational Skills | ILRforSkills | Segmented Arch | Arches | Brickwork | Embedded Numeracy | Arch | Trowel trades | construction | student | Geometry | maths in construction | apprentices

License

Attribution 4.0 International Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/

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18.701 Algebra I (MIT)

Description

This undergraduate level Algebra I course covers groups, vector spaces, linear transformations, symmetry groups, bilinear forms, and linear groups.

Subjects

Group Theory | Linear Algebra | and Geometry | groups | vector spaces | linear transformations | symmetry groups | bilinear | bilinear forms | and linear groups

License

Content within individual OCW courses is (c) by the individual authors unless otherwise noted. MIT OpenCourseWare materials are licensed by the Massachusetts Institute of Technology under a Creative Commons License (Attribution-NonCommercial-ShareAlike). For further information see https://ocw.mit.edu/terms/index.htm

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Construction TurboTeach: Arches

Description

The resource commences with a brief indroduction to the use of arches in construction including the basic terms used to describe the components.

Subjects

TurboTeach; construction Skills | Vocational Skills | ILRforSkills | Segmented Arch | Arches | Brickwork | Embedded Numeracy | Arch | Trowel trades | construction | student | Geometry | maths in construction | apprentices

License

Attribution 4.0 International Attribution 4.0 International http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/

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U08680 Geometry: Examination Paper

Description

Examination paper

Subjects

Faculty of Technology | Design and Environment\U086 Mathematics\U08680 Geometry

License

Copyright Oxford Brookes University, all rights reserved Copyright Oxford Brookes University, all rights reserved

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