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1

1962-, Bernard Lucas, and Roux François 1960-, eds. Emerging topics on differential geometry and graph theory. Hauppauge, NY: Nova Science Publishers, 2009.

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2

Deo, Naokant, Vijay Gupta, Ana Maria Acu, and P. N. Agrawal, eds. Mathematical Analysis II: Optimisation, Differential Equations and Graph Theory. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-1157-8.

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3

Sunada, Toshikazu. Topological Crystallography: With a View Towards Discrete Geometric Analysis. Tokyo: Springer Japan, 2013.

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4

Olsen, Lars. Random geometrically graph directed self-similar multifractals. Harlow, Essex, England: Longman Scientific & Technical, 1994.

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5

K, Böröczky, Tóth G. Fejes, Bolyai János Matematikai Tarsulat, and International Conference on Intuitive Geometry (1985 : Siófok, Hungary), eds. Intuitive geometry. Amsterdam: North-Holland, 1987.

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6

service), SpringerLink (Online, ed. Discrete Groups, Expanding Graphs and Invariant Measures. Basel: Birkhäuser Basel, 2010.

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7

Josef, Leydold, and Stadler Peter F. 1965-, eds. Laplacian eigenvectors of graphs: Perron-Frobenius and Faber-Krahn type theorems. Berlin: Springer, 2007.

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8

Seslavin, Andrey. Theory of automatic control. Linear, continuous systems. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1014654.

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The textbook presents the basics of the classical theory of automatic control, based on mathematical models of real systems, given in the form of systems of linear differential equations with constant coefficients. Methods based on Laplace and Fourier transforms, stability, controllability, and observability theory, as well as directed graph theory and linear algebra are used. Meets the requirements of the federal state educational standards of higher education of the latest generation. For students of higher educational institutions studying in the areas of training and specialties 15.00.00 "Mechanical Engineering", 27.00.00 "Management in technical systems".
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9

Zhukova, Galina, and Margarita Rushaylo. Mathematical analysis in examples and tasks. Part 1. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072156.

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The purpose of the textbook is to help students to master basic concepts and research methods used in mathematical analysis. In part 1 of the proposed cycle of workshops on the following topics: theory of sets, theory of limits, theory of continuous functions; differential calculus of functions of one variable, its application to the study of the properties of functions and graph; integral calculus of functions of one variable: indefinite, definite, improper integrals; hyperbolic functions; applications of integral calculus to the analysis and solution of practical problems. For the development of each topic the necessary theoretical and background material, reviewed a large number of examples with detailed analysis and solutions, the options for independent work. For self-training and quality control of the obtained knowledge provides exercises and problems with answers and guidance. For teachers, students and postgraduate students studying advanced mathematics.
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10

Ocneanu, Adrian. Quantum symmetry, differential geometry of finite graphs and classification of subfactors. Tokyo, Japan: Dept. of Mathematics, University of Tokyo, 1991.

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11

Flapan, Erica. Knots, molecules, and the universe: An introduction to topology. Providence, Rhode Island: American Mathematical Society, 2015.

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12

Pascal, Auscher, Coulhon T, and Grigoryan A, eds. Heat kernels and analysis on manifolds, graphs, and metric spaces: Lecture notes from a quarter program on heat kernels, random walks, and analysis on manifolds and graphs, April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France. Providence, R.I: American Mathematical Society, 2003.

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13

Schurz, Henri, Philip J. Feinsilver, Gregory Budzban, and Harry Randolph Hughes. Probability on algebraic and geometric structures: International research conference in honor of Philip Feinsilver, Salah-Eldin A. Mohammed, and Arunava Mukherjea, June 5-7, 2014, Southern Illinois University, Carbondale, Illinois. Edited by Mohammed Salah-Eldin 1946- and Mukherjea Arunava 1941-. Providence, Rhode Island: American Mathematical Society, 2016.

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14

Litvinov, G. L. (Grigoriĭ Lazarevich), 1944- editor of compilation and Sergeev, S. N., 1981- editor of compilation, eds. Tropical and idempotent mathematics and applications: International Workshop on Tropical and Idempotent Mathematics, August 26-31, 2012, Independent University, Moscow, Russia. Providence, Rhode Island: American Mathematical Society, 2014.

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15

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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16

Olsen, Lars. Random Geometrically Graph Directed Self-Similar Multifractals. Taylor & Francis Group, 2017.

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17

Olsen, Lars. Random Geometrically Graph Directed Self-Similar Multifractals. Taylor & Francis Group, 2019.

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18

Olsen, Lars. Random Geometrically Graph Directed Self-Similar Multifractals. Taylor & Francis Group, 2017.

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19

An Introduction To Grids Graphs And Networks. Oxford University Press Inc, 2014.

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20

Pozrikidis, C. Introduction to Grids, Graphs, and Networks. Oxford University Press, Incorporated, 2014.

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21

Introduction to Grids, Graphs, and Networks. Oxford University Press, Incorporated, 2014.

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22

Pelayo, Ignacio M. M. Geodesic Convexity in Graphs. Springer, 2013.

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23

Boroczky, G. Toth Fejes, K. Boroczky, Bö, and rö. Intuitive Geometry. Elsevier Science & Technology, 1987.

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24

Weighted graph based ordering techniques for preconditioned conjugate gradient methods. [Moffett Field, Calif.]: Research Institute for Advanced Computer Science, NASA Ames Research Center, 1994.

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25

Gupta, Vijay, P. N. Agrawal, Ana Maria Acu, and Naokant Deo. Mathematical Analysis II : Optimisation, Differential Equations and Graph Theory: ICRAPAM 2018, New Delhi, India, October 23-25. Springer Singapore Pte. Limited, 2021.

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26

Gupta, Vijay, P. N. Agrawal, Ana Maria Acu, and Naokant Deo. Mathematical Analysis II : Optimisation, Differential Equations and Graph Theory: ICRAPAM 2018, New Delhi, India, October 23–25. Springer, 2020.

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27

Semigroup Methods for Evolution Equations on Networks. Springer, 2014.

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28

Berlyand, Leonid, Alexander G. Kolpakov, and Alexei Novikov. Introduction to the Network Approximation Method for Materials Modeling. Cambridge University Press, 2012.

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29

Berlyand, Leonid, Alexander G. Kolpakov, and Alexei Novikov. Introduction to the Network Approximation Method for Materials Modeling. Cambridge University Press, 2013.

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30

Berlyand, Leonid, Alexander G. Kolpakov, and Alexei Novikov. Introduction to the Network Approximation Method for Materials Modeling. Cambridge University Press, 2012.

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31

Mugnolo, Delio. Semigroup Methods for Evolution Equations on Networks. Springer International Publishing AG, 2016.

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32

Introduction To The Network Approximation Method For Materials Modeling. Cambridge University Press, 2013.

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33

Bolla, Marianna. Spectral Clustering and Biclustering: Learning Large Graphs and Contingency Tables. Wiley & Sons, Incorporated, John, 2013.

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34

Spectral Clustering and Biclustering: Learning Large Graphs and Contingency Tables. Wiley, 2013.

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35

Bolla, Marianna. Spectral Clustering and Biclustering: Learning Large Graphs and Contingency Tables. Wiley & Sons, Incorporated, John, 2013.

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36

Introduction to Quantum Graphs (Mathematical Surveys and Monographs). American Mathematical Society, 2012.

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37

Inverse Problems and Zero Forcing for Graphs. American Mathematical Society, 2022.

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38

Dynamical Systems, Graphs, and Algorithms. Springer, 2006.

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39

Grigoryan, Alexander, and Yuhua Sun. Analysis and Partial Differential Equations: Manifolds, Fractals and Graphs. de Gruyter GmbH, Walter, 2021.

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40

Grigor’yan, Alexander, and Yuhua Sun, eds. Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. De Gruyter, 2021. http://dx.doi.org/10.1515/9783110700763.

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41

Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. de Gruyter GmbH, Walter, 2021.

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42

Sun, Yuhua, and Alexander Grigor'yan. Analysis and Partial Differential Equations on Manifolds, Fractals and Graphs. de Gruyter GmbH, Walter, 2021.

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43

Osipenko, George. Dynamical Systems, Graphs, and Algorithms (Lecture Notes in Mathematics Book 1889). Springer, 2006.

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44

Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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45

Woodward, James. Causation in Science. Edited by Paul Humphreys. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199368815.013.8.

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This article discusses some philosophical theories of causation and their application to several areas of science. Topics addressed include regularity, counterfactual, and causal process theories of causation; the causal interpretation of structural equation models and directed graphs; independence assumptions in causal reasoning; and the role of causal concepts in physics. In connection with this last topic, this article focuses on the relationship between causal asymmetries, the time-reversal invariance of most fundamental physical laws, and the significance of differences among varieties of differential equations (e.g., hyperbolic versus nonhyperbolic) in causal interpretation. It concludes with some remarks about “grounding” special science causal generalizations in physics.
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46

Woodward, James. Causation in Science. Edited by Paul Humphreys. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199368815.013.8_update_001.

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This article discusses some philosophical theories of causation and their application to several areas of science. Topics addressed include regularity, counterfactual, and causal process theories of causation; the causal interpretation of structural equation models and directed graphs; independence assumptions in causal reasoning; and the role of causal concepts in physics. In connection with this last topic, this article focuses on the relationship between causal asymmetries, the time-reversal invariance of most fundamental physical laws, and the significance of differences among varieties of differential equations (e.g., hyperbolic versus nonhyperbolic) in causal interpretation. It concludes with some remarks about “grounding” special science causal generalizations in physics.
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47

Heat kernels and analysis on manifolds, graphs, and metric spaces: Lecture notes from a quarter program on heat kernels, random walks, and analysis on manifolds and graphs : April 16-July 13, 2002, Emile Borel Centre of the Henri Poincaré Institute, Paris, France. Providence, R.I: American Mathematical Society, 2003.

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48

Earl, Richard, and James Nicholson. The Concise Oxford Dictionary of Mathematics. 6th ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/acref/9780198845355.001.0001.

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Over 4,000 entries This informative A to Z provides clear, jargon-free definitions of a wide variety of mathematical terms. Its articles cover both pure and applied mathematics and statistics, and include key theories, concepts, methods, programmes, people, and terminology. For this sixth edition, around 800 new terms have been defined, expanding on the dictionary’s coverage of algebra, differential geometry, algebraic geometry, representation theory, and statistics. Among this new material are articles such as cardinal arithmetic, first fundamental form, Lagrange’s theorem, Navier-Stokes equations, potential, and splitting field. The existing entries have also been revised and updated to account for developments in the field. Numerous supplementary features complement the text, including detailed appendices on basic algebra, areas and volumes, trigonometric formulae, and Roman numerals. Newly added to these sections is a historical timeline of significant mathematicians’ lives and the emergence of key theorems. There are also illustrations, graphs, and charts throughout the text, as well as useful web links to provide access to further reading.
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49

(Editor), Pascal Auscher, T. Coulhon (Editor), and A. Grigoryan (Editor), eds. Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces: Lecture Notes from a Quarter Program on Heat Kernels, Random Walks, and Analysis on ... Borel Centre of (Contemporary Mathematics). American Mathematical Society, 2004.

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