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Books on the topic 'Diagram algebra'

Author: Grafiati

Published: 4 June 2021

Last updated: 21 February 2023

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1

Conference Board of the Mathematical Sciences and NSF-CBMS Regional Conference in the Mathematical Sciences on Deformation Theory of Algebras and Modules (2011 : Raleigh, N.C.), eds. Deformation theory of algebras and their diagrams. Providence, Rhode Island: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 2012.

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2

Jain, S. K., ed. Noncommutative Rings, Group Rings, Diagram Algebras and Their Applications. Providence, Rhode Island: American Mathematical Society, 2008. http://dx.doi.org/10.1090/conm/456.

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3

Habiro, Kazuo. Symplectic Jacobi diagrams and the Lie algebra of homology cylinders. Kyoto, Japan: Research Institute for Mathematical Sciences, Kyoto University, 2007.

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4

Combinatorial foundation of homology and homotopy: Applications to spaces, diagrams, transformation groups, compactifications, differential algebras, algebraic theories, simplicial objects, and resolutions. Berlin: Springer, 1999.

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5

Baues, Hans J. Combinatorial foundation of homology and homotopy: Applications to spaces, diagrams, transformation groups, compactifications, differential algebras, algebraic theories, simplicial objects, and resolutions. Berlin: Springer, 1999.

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6

Japan) RIMS Camp-style Seminar "Algebraic combinatorics related to Young diagram and statistical physics" (2012 August 6-10 Kizugawa-shi. Algebraic combinatorics related to Young diagram and statistical physics: August 6-10, 2012. Kyoto, Japan: Kyōto Daigaku Sūri Kaiseki Kenkyūjo, 2014.

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7

1956-, Lapidus Michel L., ed. Generalized Dyson series, generalized Feynman diagrams, the Feynman integral, and Feynman's operational calculus. Providence, R.I., USA: American Mathematical Society, 1986.

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8

Lipman, Joseph. Foundations of Grothendieck duality for diagrams of schemes. Berlin: Springer, 2009.

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9

1962-, Hashimoto Mitsuyasu, ed. Foundations of Grothendieck duality for diagrams of schemes. Berlin: Springer, 2009.

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10

J, Monkhorst Hendrik, and Freeman David L, eds. Algebraic and diagrammatic methods in many-fermion theory. New York: Oxford University Press, 1992.

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11

Blaženka, Divjak. Diskretna matematika s teorijom grafova. Varaždin: TIVA Tiskara Varaždin, 2005.

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12

Burgos Gil, José I. (José Ignacio), 1962- editor, ed. Feynman amplitudes, periods, and motives: International research conference on periods and motives : a modern perspective on renormalization : July 2-6, 2012, Institute de Ciencias Matematicas, Madris, Spain. Providence, Rhode Island: American Mathematical Society, 2015.

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13

Motives, quantum field theory, and pseudodifferential operators: Conference on Motives, Quantum Field Theory, and Pseudodifferential Operators, June 2-13, 2008, Boston University, Boston, Massachusetts. Providence, R.I: American Mathematical Society, 2010.

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14

Igrec, Dalibor. Tehnološko modeliranje energetskih procesov: Zbirka rešenih vaj. University of Maribor Press, 2022. http://dx.doi.org/10.18690/um.fe.4.2022.

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Zbirka rešenih vaj predstavlja dodatno učno gradivo z rešenimi nalogami pri predmetu Tehnološko modeliranje energetskih procesov, ki je namenjeno predvsem študentom magistrskega študija na Fakulteti za energetiko Univerze v Mariboru. Gradivo zajema tri ključna poglavja, ki jih je v okviru predmeta potrebno razumeti in znati samostojno rešiti. Prvo poglavje predstavlja poenostavljanje bločnih diagramov, kjer je s pomočjo pravil algebre na primerih prikazan postopek poenostavljanja po posameznih korakih. Drugo poglavje zajema predstavitev bločnega diagrama iz diferencialne enačbe, kjer je iz pripadajoče diferencialne enačbe prikazana pretvorba v bločni diagram. Zadnje poglavje zajema metode za numerično reševanje diferencialnih enačb, kjer je na primeru diferencialne enačbe pri podanem začetnem pogoju s celotnim postopkom prestavljen izračun po analitični in Eulerjevi metodi ter metodi Runge Kutta 2. in 4. reda.

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Igrec, Dalibor. Tehnološko modeliranje energetskih procesov: Zbirka rešenih vaj. University of Maribor Press, 2022. http://dx.doi.org/10.18690/um.fe.4.2022.

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Zbirka rešenih vaj predstavlja dodatno učno gradivo z rešenimi nalogami pri predmetu Tehnološko modeliranje energetskih procesov, ki je namenjeno predvsem študentom magistrskega študija na Fakulteti za energetiko Univerze v Mariboru. Gradivo zajema tri ključna poglavja, ki jih je v okviru predmeta potrebno razumeti in znati samostojno rešiti. Prvo poglavje predstavlja poenostavljanje bločnih diagramov, kjer je s pomočjo pravil algebre na primerih prikazan postopek poenostavljanja po posameznih korakih. Drugo poglavje zajema predstavitev bločnega diagrama iz diferencialne enačbe, kjer je iz pripadajoče diferencialne enačbe prikazana pretvorba v bločni diagram. Zadnje poglavje zajema metode za numerično reševanje diferencialnih enačb, kjer je na primeru diferencialne enačbe pri podanem začetnem pogoju s celotnim postopkom prestavljen izračun po analitični in Eulerjevi metodi ter metodi Runge Kutta 2. in 4. reda.

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16

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Indices for the Exceptional Bruhat-Tits Buildings. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0036.

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This chapter considers the affine Tits indices for exceptional Bruhat-Tits buildings. It begins with a few small observations and some notations dealing with the relative type of the affine Tits indices, the canonical correspondence between the circles in a Tits index and the vertices of its relative Coxeter diagram, and Moufang sets. It then presents a proposition about an involutory set, a quaternion division algebra, a root group sequence, and standard involution. It also describes Θ‎-orbits in S which are disjoint from A and which correspond to the vertices of the Coxeter diagram of Ξ‎ and hence to the types of the panels of Ξ‎. Finally, it shows how it is possible in many cases to determine properties of the Moufang set and the Tits index for all exceptional Bruhat-Tits buildings of type other than Latin Capital Letter G with Tilde₂.

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17

Diagrams, Diagrams, Diagrams! Capstone, 2013.

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18

Diagrams, Diagrams, Diagrams! Capstone, 2013.

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19

Boswell, Kelly. Diagrams, Diagrams, Diagrams! Capstone, 2013.

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20

M¨uhlherr, Bernhard, Holger P. Petersson, and Richard M. Weiss. Strictly Semi-linear Automorphisms. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691166902.003.0030.

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This chapter considers the action of a strictly semi-linear automorphism fixing a root on the corresponding root group. It begins with the hypothesis whereby Δ‎ is a Moufang spherical building and Π‎ is the Coxeter diagram of Δ‎; here the chapter fixes an apartment Σ‎ of Δ‎ and a root α‎ of Σ‎. The discussion then turns to a number of assumptions about an isomorphism of Moufang sets, anisotropic quadratic space, and root group sequence, followed by a lemma where E is an octonion division algebra with center F and norm N and D is a quaternion subalgebra of E. The chapter concludes with three versions of what is really one result about fixed points of non-linear automorphisms of the Moufang sets.

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21

Kleyn, Aleks. Diagram of Representations of Universal Algebras. Independently Published, 2019.

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22

Wehrung, Friedrich, and Pierre Gillibert. From Objects to Diagrams for Ranges of Functors. Springer, 2011.

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23

From Objects To Diagrams For Ranges Of Functors. Springer, 2011.

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24

Wehrung, Friedrich, and Pierre Gillibert. From Objects to Diagrams for Ranges of Functors. Springer London, Limited, 2011.

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25

Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. Interactive Diagrams CD for use with College Algebra. 6th ed. Mcgraw-Hill College, 1999.

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26

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 and Hopf algebras, showing how they can be used to model classical information and complementary observables. We describe the CP construction, a categorical tool to describe probabilistic quantum systems. The last chapter introduces higher categories, surface diagrams and 2-Hilbert spaces, and shows how the language of duality in monoidal 2-categories can be used to reason about quantum protocols, including quantum teleportation and dense coding. Previous knowledge of linear algebra, quantum information or category theory would give an ideal background for studying this text, but it is not assumed, with essential background material given in a self-contained introductory chapter. Throughout the text, we point out links with many other areas, such as representation theory, topology, quantum algebra, knot theory and probability theory, and present nonstandard models including sets and relations. All results are stated rigorously and full proofs are given as far as possible, making this book an invaluable reference for modern techniques in quantum logic, with much of the material not available in any other textbook.

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27

Kaye, Phillip, Raymond Laflamme, and Michele Mosca. An Introduction to Quantum Computing. Oxford University Press, 2006. http://dx.doi.org/10.1093/oso/9780198570004.001.0001.

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This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as tensor products and spectral decomposition is not required, as the necessary material is reviewed in the text.

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28

Ng, David. Modeling circuit-level leakage current using algebraic decision diagrams. 2005.

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29

Baues, Hans-Joachim. Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic ... (Springer Monographs in Mathematics). Springer, 1998.

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30

Barnett, Raymond A., Michael R. Ziegler, and Karl Byleen. Interactive Diagrams CD-ROM for use with College Algebra with Trignometry 6/E. 6th ed. Mcgraw-Hill College, 1999.

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31

Combinatorial Foundation Of Homology And Homotopy Applications To Spaces Diagrams Transformation Groups Compactifications Differential Algebras Algebraic Theories Simplicial Objects And Resolutions. Springer, 2010.

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32

Baues, Hans-Joachim. Combinatorial Foundation of Homology and Homotopy: Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions. Springer, 2013.

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33

Sutton, Adrian P. Concepts of Materials Science. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192846839.001.0001.

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This short book describes ten fundamental concepts – big ideas – of materials science. Some of them come from mainstream physics and chemistry, including thermodynamic stability and phase diagrams, symmetry, and quantum behaviour. Others are about restless atomic motion and thermal fluctuations, defects in crystalline materials as the agents of change in materials, nanoscience and nanotechnology, materials design and materials discovery, metamaterials, and biological matter as a material. A cornerstone of materials science is the idea that materials are complex systems that interact with their environments and display the emergence of new science from the collective behaviour of atoms and defects. Great attention is paid to the clarity of explanations using only high school algebra and quoting the occasional useful formula. Exceptionally, elementary calculus is used in the chapter on metamaterials. It is not a text-book, but it offers undergraduates and their teachers a unique overview and insight into materials science. It may also help graduates of other subjects to decide whether to study materials science at postgraduate level.

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34

(Editor), Kees Vermeulen, and Ann Copestake (Editor), eds. Algebras, Diagrams and Decisions in Language, Logic and Computation (Center for the Study of Language and Information - Lecture Notes). Center for the Study of Language and Inf, 2002.

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35

Algebraic and Diagrammatic Methods in Many-Fermion Theory. Dover Publications, Incorporated, 2020.

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36

(Editor), Kees Vermeulen, and Ann Copestake (Editor), eds. Algebras, Diagrams and Decisions in Language, Logic and Computation (Center for the Study of Language and Information - Lecture Notes). Center for the Study of Language and Inf, 2002.

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37

McMaster, Brian, and Aisling McCluskey. Integration with Complex Numbers. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780192846075.001.0001.

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This introductory text on complex analysis focuses on how to evaluate challenging improper (real) integrals, or their Cauchy principal values if need be, by associating them with (complex) contour integrals. On the way to this goal it explains in detail the basic arithmetic, algebra and analysis of complex numbers and functions: particularly the Cauchy–Riemann equations, Cauchy’s theorem, Cauchy’s integral formula, Taylor’s theorem, Laurent’s theorem and Cauchy’s residue theorem. Recognising that many non-specialist cohorts need to acquire skill and confidence in these techniques, great care is taken to allow time for consolidation of fundamental ideas before proceeding to more sophisticated ones, and stress is laid on worked examples to explain ideas and applications, informal diagrams to build insight, roughwork initial explorations to help seek out solution strategies and—above all—suites of exercises in which the learner can develop and reinforce competence: learning through doing being the hallmark of the working textbook. Substantial revision sections on real analysis and calculus are built into the text for learners who may require additional preparation. An appended final chapter addresses some more advanced topics, such as uniform convergence, that are relevant to why certain key theorems work. Specimen solutions for many exercises will be made available to instructors upon application to the publishers.

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38

1938-, Jain S. K., Parvathi S, Khurana Dinesh, and Ramanujan Institute, eds. Noncommutative rings, group rings, diagram algebras, and their applications: International conference, December 18-22, 2006, Ramanujan Institute for Advanced Study in Mathematics, University of Madras Chennai, India. Providence, R.I: American Mathematical Society, 2006.

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