Angel "Java" Lopez en Blog

Publicado el 18 de Julio, 2017, 12:13

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Prime ideal - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Prime_ideal

Scheme (mathematics) - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Scheme_(mathematics)

Spectrum of a ring - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Spectrum_of_a_ring

Neanderthal - Fast Native Matrix and Linear Algebra in Clojure
http://neanderthal.uncomplicate.org/

Who's Afraid of Object Algebras?
http://www.infoq.com/presentations/object-algebras

Bootstrap
http://www.bootstrapworld.org/

Algebra for Analytics // Speaker Deck
https://speakerdeck.com/johnynek/algebra-for-analytics

p-group - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/P-group

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Angel "Java" Lopez
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Publicado el 14 de Julio, 2017, 11:23

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Minireference blog » Linear algebra tutorial in four pages
http://minireference.com/blog/linear-algebra-tutorial/

Jim Loy's Mathematics Page
http://www.jimloy.com/math/math.htm

jrjohansson/scientific-python-lectures
https://github.com/jrjohansson/scientific-python-lectures

Frobenius biography
http://www-history.mcs.st-andrews.ac.uk/history/Biographies/Frobenius.html

The Nature of Associative Property of Algebra
http://xahlee.info/math/nature_of_associative_property_of_algebra.html

math.nist.gov/opsf/personal/weierstrass.html
http://math.nist.gov/opsf/personal/weierstrass.html

On Klein"s Icosahedral Solution of the Quintic
http://arxiv.org/pdf/1308.0955.pdf

What is a Spectral Sequence? | The n-Category Café
http://golem.ph.utexas.edu/category/2013/08/what_is_a_spectral_sequence.html

High precision native Gaussian Elimination - CodeProject
http://www.codeproject.com/Articles/616608/High-precision-native-Gaussian-Elimination

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Angel "Java" Lopez
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Publicado el 13 de Julio, 2017, 10:49

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clojure-numerics/expresso
https://github.com/clojure-numerics/expresso

Matemáticas - Caracterización de valor propio - YouTube
http://www.youtube.com/watch?v=kDypvn5hLZI&feature=youtu.be

Serre theorem on noetherian regular local ring
http://www.math.jussieu.fr/~liangy/files/myarticle/Serre%20thm%20on%20noetherian%20regular%20local%20ring.pdf

Hilbert's seventeenth problem - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Hilbert_s_seventeenth_problem

Algebraic variety - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Algebraic_variety

Philosophy Talks in Oxford | The n-Category Café
http://golem.ph.utexas.edu/category/2013/05/philosophy_talks_in_oxford.html

Notes on the classification of complex Lie algebras | What's new
http://terrytao.wordpress.com/2013/04/27/notes-on-the-classification-of-complex-lie-algebras/

Higher Algebraic Structures and Quantization
http://arxiv.org/abs/hep-th/9212115

Rings — A Second Primer | Math ∩ Programming
http://jeremykun.com/2013/06/01/rings-a-second-primer/

Why do we study prime ideals? - Mathematics Stack Exchange
http://math.stackexchange.com/questions/389837/why-do-we-study-prime-ideals

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Angel "Java" Lopez
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Publicado el 10 de Julio, 2017, 11:43

Ya llega el tiempo de escribir las resoluciones del nuevo mes, en esta lluviosa Buenos Aires. Primero, un repaso de las anteriores:

- Escribir sobre Historia de la Ciencia [pendiente]
- Escribir sobre Historia de las Matemáticas [completo] ver post
- Continuar mi serie sobre Gödel [pendiente]
- Continuar mi serie Estudiando Curvas Elípticas [pendiente]
- Continuar mi serie Estudiando Geometría Algebraica [pendiente]
- Estudiar blues en guitarra [completo]

Como ven, estuve bastante ocupado con temas laborales, y escribiendo post técnicos. Espero poder retomar un ritmo más constante este mes, donde me planteo:

- Escribir sobre Historia de la Ciencia
- Continuar mi serie sobre Gödel
- Continuar mi serie Estudiando Curvas Elípticas
- Continuar mi serie Estudiando Geometría Algebraica
- Estudiar blues en guitarra

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Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

Publicado el 7 de Julio, 2017, 11:07

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Euclidean domain
http://en.wikipedia.org/wiki/Euclidean_domain

Euclidean Rings of Algebraic Integers
http://people.reed.edu/~jerry/332/15euc.pdf

Euclidean Rings
http://people.reed.edu/~jerry/332/15euc.pdf

Wedderburn's little theorem - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Wedderburn_s_little_theorem

Klein's Quartic Curve
http://math.ucr.edu/home/baez/klein.html

Ramanujan"s Mock Modular Forms: Indian Mathematician"s Dream Conjecture Finally Proven
http://www.huffingtonpost.com/2012/12/27/ramanujans-mock-modular-forms_n_2371680.html?utm_hp_ref=science

The Algebra of Algebraic Data Types - YouTube
https://www.youtube.com/watch?v=YScIPA8RbVE&feature=youtube_gdata_player

When does a cross product on R^{n} exist?
http://arxiv.org/abs/1212.3515

Carnaval Matemáticas: El producto vectorial en un espacio euclidiano de 7 dimensiones
http://francisthemulenews.wordpress.com/2012/12/22/el-producto-vectorial-en-un-espacio-euclideo-de-7-dimensiones/

A calculus free proof of the spectral theorem « Secret Blogging Seminar
http://sbseminar.wordpress.com/2012/12/03/a-calculus-free-proof-of-the-spectral-theorem/

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Angel "Java" Lopez
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Publicado el 4 de Julio, 2017, 12:26

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Polynomial Rings and Unique Factorization Domains
http://www.math.wustl.edu/~russw/s09.math430/ufds.pdf

Unique factorization in polynomial rings - MathOverflow
http://mathoverflow.net/questions/15137/unique-factorization-in-polynomial-rings

Hilbert's basis theorem - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Hilbert%27s_basis_theorem

Hilbert's Nullstellensatz - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Hilbert_s_Nullstellensatz

Algebraic Topology
http://www.math.cornell.edu/~hatcher/AT/AT.pdf

Ferrari biography
http://www-history.mcs.st-andrews.ac.uk/Biographies/Ferrari.html

An Intuitive Guide to Linear Algebra | BetterExplained
http://betterexplained.com/articles/linear-algebra-guide/

Las 7 maravillas de las matemáticas
http://www.alsalirdelcole.com/las-7-maravillas-de-las-matematicas/

Algebraic Number Theory
http://www.jmilne.org/math/CourseNotes/ANT.pdf

Algebraic Geometry
http://www.jmilne.org/math/CourseNotes/AG.pdf

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Angel "Java" Lopez
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Publicado el 1 de Julio, 2017, 13:42

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Veamos hoy de entender los pasos de la demostración de Fermat presentada en el anterior post. Fermat quiere demostrar que no hay triángulos rectángulos con lados racionales que tuvieran como superficie un cuadrado racional. Basta tratar el caso en números enteros positivos.

¿Qué quiere decir cuando escribe "If the area of a right-angled triangle were a square, there would exist two biquadrates the difference of which would be a square number"? Primero, ¿qué es "biquadrates"? Un término en inglés que no veo tenga palabra de uso similar en español, o por lo menos, de uso frecuente. Un número bicuadrado es la cuarta potencia de otro, en este caso, de otro natural. ¿por qué afirma esto Fermat? Dice que si hubiera un triángulo rectángulo con área cuadrada (un número cuadrado) habría DOS potencias cuartas que al restarse, darían un cuadrado.

Veamos. Recordemos que los lados enteros de un triángulo se expresan con una terna pitagórica. Y que esas ternas tienen una expresión general:

x = (2pq)d
y = (p2 - q2)d
z = (p2 + q2)d

donde p, q son naturales primos entre sí, y de distinta paridad (uno par y otro impar), y d es natural cualquiera. El problema de Fermat es encontrar entonces

1/2 xy = pq(p2 - q2)d2

que sea cuadrado. Para esto

pq(p2 - q2)

DEBE ser cuadrado. Como p, q son primos entre sí, también son primos con

p2 - q2

Entonces cada uno de los factores

p
q
p2 - q2

DEBE ser cuadrado, al ser primos entre sí. Como p y q son cuadrados, entonces

p2 - q2

ES LA DIFERENCIA de DOS CUARTAS potencias, lo que afirmaba Fermat en su primera oración. Es un poco escondedor, como si no quisiera explicar todos los pasos, haciendo trabajar al que lea su demostración. No es evidente que sea verdad su afirmación, y la expone casi como un problema implícito, como diciendo: "quien no sepa descubrir esto no vale la pena que siga".

En el próximo post, seguiremos discutiendo las siguientes afirmaciones de Fermat

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Angel "Java" Lopez
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Publicado el 30 de Junio, 2017, 11:25

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Gaussian elimination - Linear Systems - math-linux.com
http://www.math-linux.com/spip.php?article53

Cuerpos y sus extensiones
http://www.uam.es/personal_pdi/ciencias/fchamizo/asignaturas/teogal1112/capitulo2.pdf

Teoria de Anillos
http://www.uam.es/personal_pdi/ciencias/fchamizo/asignaturas/teogal1112/capitulo1.pdf

Resolubilidad por Radicales
http://www.uam.es/personal_pdi/ciencias/fchamizo/asignaturas/teogal1112/capitulo4.pdf

Resolubilidad por Radicales
http://www.uam.es/personal_pdi/ciencias/fchamizo/asignaturas/teogal1112/capitulo4.pdf

Abstract Algebra
http://www.math.umn.edu/~garrett/m/algebra/

The Submodule of Invariants « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/21/the-submodule-of-invariants/

Gauss and Regular Polygons: Cyclotomic Polynomials « Paramanand's Math Notes
http://paramanands.wordpress.com/2009/12/25/gauss-and-regular-polygons-cyclotomic-polynomials/

gen_gauss_gem.pdf
http://www.math.vt.edu/people/brown/doc/gen_gauss_gem.pdf

Fermat's Last Theorem: Gauss: Periods of Cyclotomic Equations
http://fermatslasttheorem.blogspot.com.ar/2008/02/gauss-periods-of-cyclotomic-equations.html

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Angel "Java" Lopez
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Publicado el 29 de Junio, 2017, 11:50

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Gauss Cyclotomy
http://www.henrikkragh.dk/hom/episoder/lecturenotes/GaussCyclotomy200102a.pdf

Paper Trail » Dedekind and Weber: Theory of the algebraic functions of one variable
http://the-paper-trail.org/blog/dedekind-and-weber-theory-of-the-algebraic-functions-of-one-variable/

New Modules from Old « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/17/new-modules-from-old/

Irreducible Modules « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/15/irreducible-modules/

Reducible Modules « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/16/reducible-modules/

Lie Algebra Modules « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/12/lie-algebra-modules/

A trivial remark about schemes « What"s new
http://terrytao.wordpress.com/2012/09/05/a-trivial-remark-about-schemes/

Decomposition of Semisimple Lie Algebras « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/08/decomposition-of-semisimple-lie-algebras/

Back to the Example « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/07/back-to-the-example/

The Radical of the Killing Form « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/06/the-radical-of-the-killing-form/

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Angel "Java" Lopez
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Publicado el 28 de Junio, 2017, 12:59

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The Killing Form « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2012/09/03/the-killing-form/

Serre thm on noetherian regular local ring
http://www.math.u-psud.fr/~yliang/index/myarticles/Serre%20thm%20on%20noetherian%20regular%20local%20ring.pdf

cartan-einstein-unification.com/pdf/On the Exterior Calculus.pdf
http://cartan-einstein-unification.com/pdf/On%20the%20Exterior%20Calculus.pdf

Skew coordinates - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Skew_coordinates

One-form - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/One-form

Video Lectures in Mathematics (mathematicsprof) on Pinterest
http://pinterest.com/mathematicsprof/

Lie groups, Lie algebras, and representations « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2007/03/20/lie-groups-lie-algebras-and-representations/

Abstract Algebra: The Basic Graduate Year
http://www.math.uiuc.edu/~r-ash/Algebra.html

Cartan biography
http://www-history.mcs.st-and.ac.uk/Biographies/Cartan.html

New version of algebra game « What"s new
http://terrytao.wordpress.com/2012/04/18/new-version-of-algebra-game/

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Angel "Java" Lopez
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Publicado el 23 de Junio, 2017, 10:25

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Gamifying algebra? « What"s new
http://terrytao.wordpress.com/2012/04/15/gamifying-algebra/

The Julia Language
http://julialang.org/

Oeuvres complètes d'Augustin Cauchy
http://gallica.bnf.fr/ark:/12148/bpt6k90193x/f97

D. I. Falikman, "Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix"
https://del.icio.us/url/673384c3c71aa4e8957831a95025b38c

Computing the permanent - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Computing_the_permanent

JSTOR: Mathematics Magazine, Vol. 42, No. 3 (May, 1969), pp. 146-148
http://www.jstor.org/pss/2689132

Permanent - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Permanent

A Course in Universal Algebra
http://www.math.uwaterloo.ca/~snburris/htdocs/ualg.html

Exterior algebra - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Wedge_product

Most striking applications of category theory? - MathOverflow
http://mathoverflow.net/questions/19325/most-striking-applications-of-category-theory

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Angel "Java" Lopez
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Publicado el 22 de Junio, 2017, 11:21

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Division Algebras and Supersymmetry III | The n-Category Café
http://golem.ph.utexas.edu/category/2011/09/division_algebras_and_supersym_1.html

Primeras construcciones con regla y compás en imágenes - Gaussianos | Gaussianos
http://gaussianos.com/primeras-construcciones-con-regla-y-compas-en-imagenes/

Algebraic Topology Online Course
http://freevideolectures.com/Course/2721/Algebraic-Topology

Particle physics and representation theory
http://en.wikipedia.org/wiki/Particle_physics_and_representation_theory

geometry - Is this Batman equation for real? - Mathematics - Stack Exchange
http://math.stackexchange.com/questions/54506/is-this-batman-equation-for-real

Linear dynamical systems over finite rings « Rod Carvalho
http://stochastix.wordpress.com/2011/07/18/linear-dynamical-systems-over-finite-rings/

Lie Algebras from Associative Algebras « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2011/05/18/lie-algebras-from-associative-algebras/

Cyclotomic polynomial - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Cyclotomic_polynomial

Hall algebras are Grothendieck groups « Secret Blogging Seminar
http://sbseminar.wordpress.com/2011/04/18/hall-algebras-are-grothendieck-groups/

Hall algebras are Grothendieck groups « Secret Blogging Seminar
http://sbseminar.wordpress.com/2011/04/18/hall-algebras-are-grothendieck-groups/

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Angel "Java" Lopez
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Publicado el 19 de Junio, 2017, 11:44

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The Algebra of Data, and the Calculus of Mutation » Lab49 Blog
http://blog.lab49.com/archives/3011

A Categorified Supergroup for String Theory | The n-Category Café
http://golem.ph.utexas.edu/category/2011/03/a_categorified_supergroup_for.html

Division Algebras and Quantum Theory
http://arxiv.org/abs/1101.5690

The Cayley-Dickson Construction
http://math.ucr.edu/home/baez/octonions/node5.html

Introduction to Clifford Algebra
http://www.av8n.com/physics/clifford-intro.htm

What ARE Clifford Algebras and Spinors?
http://www.valdostamuseum.org/hamsmith/clfpq.html

Octonions
http://math.ucr.edu/home/baez/octonions/

The Three-Fold Way (Part 2) | The n-Category Café
http://golem.ph.utexas.edu/category/2010/12/the_threefold_way_part_2.html

Clifford Algebra
http://c2.com/cgi/wiki?CliffordAlgebra

Clifford Algebras
http://math.ucr.edu/home/baez/octonions/node6.html

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Angel "Java" Lopez
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Publicado el 16 de Junio, 2017, 11:48

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clifford.pdf (application/pdf Object)
http://www.cis.upenn.edu/~cis610/clifford.pdf

Clifford algebra - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Clifford_algebra

Algebra as Quantum Language
http://www.scribd.com/doc/27157534/Algebra-as-Quantum-Language

Achilleas Passias Dissertation.pdf (application/pdf Object)
http://workspace.imperial.ac.uk/theoreticalphysics/Public/MSc/Dissertations/2010/Achilleas%20Passias%20Dissertation.pdf

Clifford_Report.pdf (application/pdf Object)
http://ajwilson.co.uk/files/maths/Clifford_Report.pdf

Geometric Algebra and its Application to Mathematical Physics
http://148.202.11.158/ebooks/mathbooks/Algebraic%20geometry/Geometric%20Algebra%20and%20its%20Application%20to%20Mathematical%20Physics%20-%20C.%20Doran.pdf

Amazon.com: A Course in Commutative Algebra (Graduate Texts in Mathematics)
http://www.amazon.com/Course-Commutative-Algebra-Graduate-Mathematics/dp/3642035442

Amazon.com: The Chinese Roots of Linear Algebra
http://www.amazon.com/Chinese-Roots-Linear-Algebra/dp/0801897556

The decline of quantum algebra (QA) « Secret Blogging Seminar
http://sbseminar.wordpress.com/2010/12/14/the-decline-of-quantum-algebra-qa/

(Fake) Frobenius Reciprocity « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/11/30/fake-frobenius-reciprocity/

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Angel "Java" Lopez
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Publicado el 15 de Junio, 2017, 16:08

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The Dimension of the Space of Tensors Over the Group Algebra
http://unapologetic.wordpress.com/2010/11/16/the-dimension-of-the-space-of-tensors-over-the-group-algebra/

The Endomorphism Algebra of the Left Regular Representation
http://unapologetic.wordpress.com/2010/11/18/the-endomorphism-algebra-of-the-left-regular-representation/

Hilorama de E8 « Juegos topológicos
http://topologia.wordpress.com/2010/10/10/e8-con-hilo-tensado/

Amazon.com: Higher Structures in Geometry and Physics
http://www.amazon.com/Higher-Structures-Geometry-Physics-Gerstenhaber/dp/0817647341

State-Observable Duality (Part 3) | The n-Category Café
http://golem.ph.utexas.edu/category/2010/11/stateobservable_duality_part_3.html

Solèr's Theorem | The n-Category Café
http://golem.ph.utexas.edu/category/2010/12/solers_theorem.html

The Geometry of the MRB constant
http://math-blog.com/2010/11/21/the-geometry-of-the-mrb-constant/

Strongly dense free subgroups of semisimple algebraic groups « What"s new
http://terrytao.wordpress.com/2010/10/21/strongly-dense-free-subgroups-of-semisimple-algebraic-groups/

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Angel "Java" Lopez
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Publicado el 14 de Junio, 2017, 9:53

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Tensor Products over Group Algebras « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/11/09/tensor-products-over-group-algebras/

Tensors Over the Group Algebra are Invariants « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/11/15/tensors-over-the-group-algebra-are-invariants/

Amazon.com: Contemporary Abstract Algebra
http://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-Gallian/dp/0547165099

Trigonometric functions and rational multiples of pi « Division by Zero
http://divisbyzero.com/2010/10/28/trigonometric-functions-and-rational-multiples-of-pi/

Consequences of Orthogonality « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/10/25/consequences-of-orthogonality/

Amazon.com: An Introduction to Galois Cohomology and its Applications
http://www.amazon.com/Introduction-Cohomology-Applications-Mathematical-Society/dp/0521738660

Computer algebra for Clojure - Stack Overflow
http://stackoverflow.com/questions/3963556/computer-algebra-for-clojure

Dimensional Reduction - Apache Mahout - Apache Software Foundation
https://cwiki.apache.org/confluence/display/MAHOUT/Dimensional+Reduction

ConciseRevised.pdf (application/pdf Object)
http://www.math.uchicago.edu/%7Emay/CONCISE/ConciseRevised.pdf

Amazon.com: Monomial Ideals (Graduate Texts in Mathematics)
http://www.amazon.com/Monomial-Ideals-Graduate-Texts-Mathematics/dp/085729105X

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Angel "Java" Lopez
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Publicado el 13 de Junio, 2017, 13:13

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Amazon.com: Algebra and Number Theory: An Integrated Approach
http://www.amazon.com/Algebra-Number-Theory-Integrated-Approach/dp/0470496363

Symbolmania
http://math-blog.com/2010/09/27/symbolmania/

Modules « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/09/15/modules-2/

The Group Algebra « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/09/14/the-group-algebra/

Exceptional object - Wikipedia, the free encyclopedia
http://en.wikipedia.org/wiki/Exceptional_object

The Brauer Groupoid « Secret Blogging Seminar
http://sbseminar.wordpress.com/2010/08/11/the-brauer-groupoid/

Galois Connections « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2009/05/18/galois-connections/

Orthogonal Complementation is a Galois Connection
http://unapologetic.wordpress.com/2009/05/19/orthogonal-complementation-is-a-galois-connection/

How can we construct abelian Galois extensions of basic number fields?
http://www.math.harvard.edu/~mazur/papers/Ribet12.3.pdf

Lebesgue Measure and Affine Transformations « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/04/22/lebesgue-measure-and-affine-transformations/

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Angel "Java" Lopez
http://www.ajlopez.com
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Publicado el 10 de Junio, 2017, 13:17

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Homological Algebra Puzzle | The n-Category Café
http://golem.ph.utexas.edu/category/2010/07/homological_algebra_puzzle.html

Lattices and their invariants « Secret Blogging Seminar
http://sbseminar.wordpress.com/2010/05/14/lattices-and-their-invariants/

Convergence in Measure and Algebra « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/05/21/convergence-in-measure-and-algebra/

Course Notes - J.S. Milne
http://www.jmilne.org/math/CourseNotes/

The Weil conjectures : Curves « Secret Blogging Seminar
http://sbseminar.wordpress.com/2010/04/19/the-weil-conjectures-curves/

Measuring Measures - blog - Matrix Benchmarks: Fast Linear Algebra on the JVM
http://measuringmeasures.com/blog/2010/3/28/matrix-benchmarks-fast-linear-algebra-on-the-jvm.html

Monotone Classes « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/03/18/monotone-classes/

Maxima, a Computer Algebra System
http://maxima.sourceforge.net/

Why Arel? « Magic Scaling Sprinkles
http://magicscalingsprinkles.wordpress.com/2010/01/28/why-i-wrote-arel/

Sheaves Do Not Belong to Algebraic Geometry | The n-Category Café
http://golem.ph.utexas.edu/category/2010/02/sheaves_do_not_belong_to_algeb.html

Nos leemos!

Mis Enlaces
https://del.icio.us/ajlopez/algebra

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

Publicado el 9 de Junio, 2017, 7:09

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Weyl Chambers « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/02/03/weyl-chambers-2/

Root Systems « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/01/20/root-systems/

Reflections « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2010/01/18/reflections/

Size, Yoneda, and Limits of Algebras | The n-Category Café
http://golem.ph.utexas.edu/category/2009/12/size_yoneda_and_limits_of_alge.html

Residues and Integrals « Secret Blogging Seminar
http://sbseminar.wordpress.com/2010/01/12/residues-and-integrals/

Algebra Representations « The Unapologetic Mathematician
http://unapologetic.wordpress.com/2008/10/24/algebra-representations/

Memoizing Polymorphic Functions with High School Algebra and Quantifiers
http://blog.sigfpe.com/2009/11/memoizing-polymorphic-functions-with.html

GAP System for Computational Discrete Algebra
http://www.gap-system.org/

MIT Linear Algebra, Lecture 1: The Geometry of Linear Equations
http://www.catonmat.net/blog/mit-linear-algebra-part-one/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed%3A+catonmat+%28good+coders+code%2C+great+reuse%29

The Hodge Star
http://unapologetic.wordpress.com/2009/11/09/the-hodge-star/

The Cross Product and Pseudovectors
http://unapologetic.wordpress.com/2009/11/10/the-cross-product-and-pseudovectors/

Nos leemos!

Mis Enlaces
https://del.icio.us/ajlopez/algebra

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez

Publicado el 8 de Junio, 2017, 7:34

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Varios de estos enlaces han sido publicados en mi serie de recursos sobre Matemáticas. Pero ya ameritan una categoría aparte, para compartir y repasar. Estoy estudiando bastante de algunos temas algebraicos, y es interesante volver a algunos puntos esenciales de las matemáticas.

The Jacobian
http://unapologetic.wordpress.com/2009/11/11/the-jacobian/

Functoriality of Tensor Algebras
http://unapologetic.wordpress.com/2009/10/28/functoriality-of-tensor-algebras/

Tensor Algebras and Inner Products
http://unapologetic.wordpress.com/2009/10/29/tensor-algebras-and-inner-products/

Inner Products on Exterior Algebras and Determinants
http://unapologetic.wordpress.com/2009/10/30/inner-products-on-exterior-algebras-and-determinants/

Computer Algebra Systems
http://www.math.wpi.edu/IQP/BVCalcHist/calc5.html

MATH3711 Lecture Notes
http://web.maths.unsw.edu.au/~danielch/algebra07a/qinnotes.pdf

Free Algebra Books Download | Algebra Ebooks Online Algebra Tutorials
http://www.freebookcentre.net/Mathematics/Algebra-Books-Download.html

Scientific Computing Software Library (SCSL) User's Guide
http://www.nacad.ufrj.br/sgi/007-4325-001/sgi_html/index.html

Blas
http://www.netlib.org/blas/

Algebraic Areas of Mathematics
http://www.math.niu.edu/~rusin/known-math/index/tour_alg.html

Abstract Algebra Online
http://www.math.niu.edu/~beachy/aaol/

Mis Enlaces
https://del.icio.us/ajlopez/algebra

Nos leemos!

Angel "Java" Lopez
http://www.ajlopez.com
http://twitter.com/ajlopez