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1

Masayoshi, Nagata. Theory of commutative fields. American Mathematical Society, 1993.

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2

Roe, John. Winding around: The winding number in topology, geometry, and analysis. American Mathematical Society, 2015.

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3

Alonso, Luciano Couder. Teora de ecuaciones algebraicas. Limusa, 1998.

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4

Díaz, F. J. Díaz. Homotopía algebraica: Descripción e interrelación de las principales teorías. Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 1994.

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5

Session, Ring Theory. Ring theory and its applications: Ring Theory Session in honor of T.Y. Lam on his 70th birthday at the 31st Ohio State-Denison Mathematics Conference, May 25-27, 2012, The Ohio State University, Columbus, OH. Edited by Lam, T. Y. (Tsit-Yuen), 1942- honouree, Huynh, Dinh Van, 1947- editor of compilation, and Ohio State-Denison Mathematics Conference. American Mathematical Society, 2014.

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6

Coma, Josep Rifà i. Comunicación digital: Teoría matemática de la información, codificación algebraica, criptología. Masson, 1991.

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7

Prodromos, Daoutidis, ed. Control of nonlinear differential algebraic equation systems: With applications to chemical processes. Chapman & Hall/CRC, 1999.

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8

de Armas Costa, Ricardo Joaquín, and Miryan Trujillo Cedeño, eds. Introducción al modelado matemático con MatLab. Universidad de La Salle. Ediciones Unisalle, 2017. http://dx.doi.org/10.19052/9789585400429.

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Introducción al Matlab es producto del trabajo de aula y la constante reflexión en tono a los procesos de enseñanza-aprendizaje en el área de matemáticas, realizada por los autores. El objetivo de esta obra es orientar a los profesores de matemáticas en procesos didácticos para la construcción de conceptos básicos del cálculo, desde el tránsito de distintos registros de representación. Se ofrece a los estudiantes una metodología para potenciar las habilidades de modelado matemático que contribuyan al aprendizaje de tipo estratégico como fundamento del trabajo científico. Las actividades de mod
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9

A, Vasilʹev V. Complements of discriminants of smooth maps: Topology and applications. American Mathematical Society, 1994.

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10

Bárcenas, Noé, and Monica Moreno Rocha. Mexican mathematicians abroad: Recent contributions : first workshop, Matematicos Mexicanos Jovenes en el Mundo, August 22-24, 2012, Centro de Investigacion en Matematicas, A.C., Guanajuato, Mexico. Edited by Galaz-García Fernando editor. American Mathematical Society, 2016.

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11

Jordan, Bill E. Worksheets for classroom or lab practice: Integrated arithmetic and basic algebra. 4th ed. Pearson/Addison-Wesley, 2009.

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12

Manichev, Vladimir, Valentina Glazkova, and Кузьмина Анастасия. Numerical methods. The authentic and exact solution of the differential and algebraic equations in SAE systems of SAPR. INFRA-M Academic Publishing LLC., 2016. http://dx.doi.org/10.12737/13138.

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In the manual classical numerical methods are considered
 and algorithms for the decision of systems of the ordinary differential
 equations (ODE), nonlinear and linear algebraic equations
 (NAU and LAU), and also ways of ensuring reliability and demanded
 accuracy of results of the decision. Ideas, which still not are stated
 are reflected in textbooks on calculus mathematics, namely: decision
 systems the ODE without reduction to a normal form of Cauchy resolved
 rather derivative, and refusal from any numerical an equivalent -
 nykh of transformations
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13

I, Perelʹman I͡A. Diviértete con las matemáticas. Swing, 2012.

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14

Argentina) Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry (3rd 2010 Buenos Aires. Topics in noncommutative geometry: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010. Edited by Cortiñas, Guillermo, editor of compilation. American Mathematical Society, 2012.

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15

McCune, W. Automated deduction in equational logic and cubic curves. Springer, 1996.

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16

Fedorov, Y. N. A memoir on integrable systems. Springer, 2003.

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17

Lemmermeyer, Franz, and Oswald Baumgart. Quadratic Reciprocity Law: A Collection of Classical Proofs. Springer, 2015.

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18

Lemmermeyer, Franz, and Oswald Baumgart. The Quadratic Reciprocity Law: A Collection of Classical Proofs. Birkhäuser, 2016.

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19

Wittman, David M. Doppler Effect and Velocity Addition Law. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0009.

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We now pivot from relationships between frames to look at the effect of motion on communications between specific observers.This will help us look at the twin paradox in the next chapter, and will prove crucial to understanding the effects of gravity on time. Along the way, we develop an understanding of the Doppler effect; a key tool in many areas of modern science. We find that Doppler effects are reciprocal (Alice observes the same effect on Bob’s signals as Bob observes on Alice’s signals) and that Doppler effects compound over multiple frame changes. We then use the compounding of Doppler
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20

Deduction Theorem and Peirce Law in General Algebraic Logic: Constructive Proofs in General Sentential Logic and Universal Algebra. Independently Published, 2019.

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21

McDuff, Dusa, and Dietmar Salamon. Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198794899.003.0001.

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Symplectic topology has a long history. It has its roots in classical mechanics and geometric optics and in its modern guise has many connections to other fields of mathematics and theoretical physics ranging from dynamical systems, low-dimensional topology, algebraic and complex geometry, representation theory, and homological algebra, to classical and quantum mechanics, string theory, and mirror symmetry. One of the origins of the subject is the study of the equations of motion arising from the Euler–Lagrange equations of a one-dimensional variational problem. The Hamiltonian formalism arisi
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22

Henderson, Andrea. Algebraic Art. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198809982.001.0001.

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Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics. The nineteenth century was a moment of extraordinary mathematical innovation, witnessing the development of non-Euclidean geometry, the revaluation of symbolic algebra, and the importation of mathematical language into philosophy. All these innovations sprang from a reconception of mathematics as a formal rather than a referential practice—as a means for describing relationships rather than quantities. For Victorian ma
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23

Staff, ETA/Cuisenaire. VersaTiles Algebraic Thinking Level Lab: Level 3. hand2mind, 2008.

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24

Staff, ETA/Cuisenaire. VersaTiles Algebraic Thinking Level Lab: Level 5. hand2mind, 2008.

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25

Staff, ETA/Cuisenaire. VersaTiles Algebraic Thinking Level Lab: Level 4. hand2mind, 2008.

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26

Enfoque algebraico de las matemáticas financieras . Ediciones Unicesar , 2016.

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27

Johnson, F. E. A. Stable Modules and the D(2)-Problem. Cambridge University Press, 2003.

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28

Johnson, F. E. A. Stable Modules and the D(2)-Problem. Cambridge University Press, 2010.

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29

Johnson, F. E. A. Stable Modules and the D(2)-Problem. Cambridge University Press, 2012.

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30

Unified Algebraic Approach to Control Design. CRC Press LLC, 2017.

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31

Grigoriadis, DimitriE. Unified Algebraic Approach to Control Design. CRC Press LLC, 2017.

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32

Grigoriadis, DimitriE. Unified Algebraic Approach to Control Design. CRC Press LLC, 2017.

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33

Introduccion A La Teoria De Las Funciones Algebraicas. Fondo De Cultura Economica USA, 2003.

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34

Control and optimization with differential-algebraic constraints. Society for Industrial and Applied Mathematics, 2012.

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35

Lial, Margaret L. Introductory Algebra, My Math Lab. 8th ed. Pearson Publications Company, 2005.

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36

Blitzer, Robert. Worksheets for Classroom or Lab Practice. Pearson Education, Limited, 2008.

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37

Heunen, Chris, and Jamie Vicary. Categories for Quantum Theory. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198739623.001.0001.

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Monoidal category theory serves as a powerful framework for describing logical aspects of quantum theory, giving an abstract language for parallel and sequential composition and a conceptual way to understand many high-level quantum phenomena. Here, we lay the foundations for this categorical quantum mechanics, with an emphasis on the graphical calculus that makes computation intuitive. We describe superposition and entanglement using biproducts and dual objects, and show how quantum teleportation can be studied abstractly using these structures. We investigate monoids, Frobenius structures an
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38

Martin-Gay, Elayn. Key Concept Activity Lab Workbook for Prealgebra. Pearson Education Canada, 2018.

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39

Seese, Lillian. Elementary Algebra: Ticcit Lab Off-Line Packet. 9th ed. Kendall/Hunt Publishing Company, 1995.

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40

Budán, Maximiliano Celmo David. Marcos argumentativos etiquetados. Editorial de la Universidad Nacional de La Plata (EDULP), 2017. http://dx.doi.org/10.35537/10915/61166.

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El objetivo principal de esta línea de investigación es expandir la capacidad de representación de los formalismos argumentativos. En términos generales, en este trabajo, se presentan dos formalismos, cada uno de ellos con un cierto nivel de abstracción, que permiten considerar la meta-información dependiente del dominio de aplicación dentro del proceso de razonamiento argumentativo. Esta metainformación estará asociada a los argumentos tomando la forma de etiquetas, incrementando así su capacidad de representación. Dichas etiquetas pueden ser afectadas por las relaciones existentes entre los
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41

Hornsby, E. John, and Margaret L. Lial. College Algebra: With Math Lab Online Access Kit. 9th ed. Prentice Hall, 2006.

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42

Rossini, Gerardo Luis. Análisis Matemático para Ciencias Exactas y Naturales. Editorial de la Universidad Nacional de La Plata (EDULP), 2018. http://dx.doi.org/10.35537/10915/69398.

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El texto desarrolla definiciones, operaciones y propiedades acerca de funciones de una variable real, entendidas como el lenguaje matemático necesario y apropiado para expresar relaciones entre las distintas magnitudes que hacen a la descripción de una situación en Ciencias. Las funciones trabajadas incluyen expresiones algebraicas, exponenciales y logaritmos, relaciones trigonométricas e hiperbólicas y funciones integrales. Los ejes conceptuales abarcan las nociones de límite, continuidad, derivadas e integrales. A partir de ellos se presentan herramientas tales como aproximaciones polinómica
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43

A Celebration of Algebraic Geometry (Clay Mathematics Proceedings). American Mathematical Society, 2013.

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44

Blair, Jamie, John Jr Tobey, Jeffrey L. Slater, and John Tobey. Worksheets for Classroom or Lab Practice for Prealgebra. Pearson Education, Limited, 2009.

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45

Jr, Tobey John, and Jeffrey L. Slater. Worksheets for Classroom or Lab Practice for Intermediate Algebra. Pearson Education, Limited, 2009.

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46

Worksheets for Classroom or Lab Practice for Beginning Algebra. Pearson Education, Limited, 2009.

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47

Martin-Gay, Elayn. Key Concept Activity Lab Workbook for Prealgebra and Introductory Algebra. Pearson Education Canada, 2018.

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48

Staff, Pearson Education, and Addison-Wesley Publishing Staff. Elementary and Intermediate Algebra Worksheets for Classroom or Lab Practice. Pearson Education, Limited, 2008.

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49

Addison-Wesley and Pearson Education Staff. Prealgebra and Introductory Algebra Worksheets for Classroom or Lab Practice. Pearson Education, Limited, 2007.

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50

Blair, Jamie, Jennifer Crawford, Jeffrey Slater, and Tobey John Jr. Worksheets for Classroom or Lab Practice for Beginning and Intermediate Algebra. Pearson Education, Limited, 2009.

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