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Books on the topic 'Higher-Dimensional Mathematics'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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1

Cavicchioli, Alberto. Higher-dimensional generalized manifolds: Surgery and constructions. European Mathematical Society, 2016.

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2

H, Hubbard John. Differential Equations: A Dynamical Systems Approach: Higher-Dimensional Systems. Springer New York, 1995.

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3

J, Kovacs Sandor, ed. Classification of higher dimensional algebraic varieties. Birkhäuser, 2010.

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4

1945-, Kauffman Louis H., and Sandin Daniel J, eds. Hypercomplex iterations: Distance estimation and higher dimensional fractals. World Scientific, 2002.

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5

Makkai, Mihály. Models, logics, and higher-dimensional categories: A tribute to the work of Mihaly Makkai. American Mathematical Society, 2011.

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6

Steiner, Rudolf. The fourth dimension: Sacred geometry, alchemy, and mathematics : listeners' notes of lectures on higher-dimensional space and of questions and answers on mathematical topics. Anthroposophic Press, 2001.

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7

Fonseca, Carlos M. da. A panorama of mathematics: Pure and applied : Conference on Mathematics and Its Applications, November 14-17, 2014, Kuwait University, Safat, Kuwait. American Mathematical Society, 2016.

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8

Glovackaya, Alevtina. Computational model. INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1013723.

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The textbook covers the basics of classical numerical methods of computational mathematics used for solving linear and nonlinear equations and systems; interpolation and approximation of functions; numerical integration and differentiation; solutions of ordinary differential equations by methods of one-dimensional and multidimensional optimization. Meets the requirements of the Federal state educational standards of higher education of the latest generation. It is intended for students of higher educational institutions studying in the discipline "Numerical methods".

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9

Watson, N. A. Introduction to heat potential theory. American Mathematical Society, 2012.

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10

editor, Donagi Ron, Douglas, Michael (Michael R.), editor, Kamenova Ljudmila 1978 editor, and Roček M. (Martin) editor, eds. String-Math 2013: Conference, June 17-21, 2013, Simons Center for Geometry and Physics, Stony Brook, NY. American Mathematical Society, 2014.

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11

Center, Ames Research, ed. Assessment of higher order turbulence models for complex two- and three-dimensional flowfields. National Aeronautics and Space Administration, Ames Research Center, 1992.

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12

Rihter, Andrey. Directions of design work in the field of space environmental monitoring and three-dimensional modeling. INFRA-M Academic Publishing LLC., 2023. http://dx.doi.org/10.12737/1858257.

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The monograph describes some areas of practical project activity in the field of space environmental monitoring and mathematical modeling, which lies at the junction of three pillars of knowledge — ecology, satellite monitoring and three-dimensional modeling. In particular, such ecological objects as garbage dumps, mining and processing plants, abandoned construction sites, highways are considered. Numerous methods, tools, software platforms are used for the study and research of objects, which are publicly available for understanding, mastering and practical implementation in the field of hig

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13

Tsfasman, M. A. Algebraic geometry codes: Basic notions. American Mathematical Society, 2007.

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14

Peternell, Thomas, and Joichi Miyaoka. Geometry of Higher Dimensional Algebraic Varieties. Birkhauser Verlag, 2012.

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15

Grandis, Marco. Higher Dimensional Categories: From Double to Multiple Categories. World Scientific Publishing Co Pte Ltd, 2019.

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16

Sandin, Daniel J. Hypercomplex Iterations: Distance Estimation and Higher Dimensional Fractals. World Scientific Publishing Co Pte Ltd, 2002.

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17

Peternell, Thomas, and Joichi Miyaoka. Geometry of Higher Dimensional Algebraic Varieties (Oberwolfach Seminars). Birkhäuser Basel, 2004.

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18

Lionni, Luca. Colored Discrete Spaces: Higher Dimensional Combinatorial Maps and Quantum Gravity. Springer International Publishing AG, 2019.

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19

Lionni, Luca. Colored Discrete Spaces: Higher Dimensional Combinatorial Maps and Quantum Gravity. Springer, 2018.

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20

Higher-Dimensional Knots According to Michel Kervaire. American Mathematical Society, 2017.

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21

Hubbard, John H., and Beverly H. West. Differential Equations: A Dynamical Systems Approach. Part II: Higher Dimensional Systems (Texts in Applied Mathematics). Springer, 1995.

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22

Xu, Yuan. Common Zeros of Polynominals in Several Variables and Higher Dimensional Quadrature (Research Notes in Mathematics Series). Chapman & Hall/CRC, 1994.

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23

An Introduction to the Theory of Higher-dimensional Quasiconformal Mappings (Mathematical Surveys and Monographs). American Mathematical Society, 2017.

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24

Blacklock, Mark. The Emergence of the Fourth Dimension. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198755487.001.0001.

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The idea of the fourth dimension of space has been of sustained interest to nineteenth-century and Modernist studies since the publication of Linda Dalrymple Henderson’s The Fourth Dimension and Non-Euclidean Geometry in Modern Art (1983). An idea from mathematics that was appropriated by occultist thought, it emerged in the fin de siècle as a staple of genre fiction and grew to become an informing idea for a number of important Modernist writers and artists. Describing the post-Euclidean intellectual landscape of the late nineteenth century, The Emergence of the Fourth Dimension works with th

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25

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

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26

Mee, Nicholas. Celestial Tapestry. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851950.001.0001.

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Celestial Tapestry places mathematics within a vibrant cultural and historical context, highlighting links to the visual arts and design, and broader areas of artistic creativity. Threads are woven together telling of surprising influences that have passed between the arts and mathematics. The story involves many intriguing characters: Gaston Julia, who laid the foundations for fractals and computer art while recovering in hospital after suffering serious injury in the First World War; Charles Howard, Hinton who was imprisoned for bigamy but whose books had a huge influence on twentieth-centur

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27

(Editor), Károly Jr Böröczky, János Kollár (Editor), and Tamás Szamuely (Editor), eds. Higher Dimensional Varieties and Rational Points (Bolyai Society Mathematical Studies). Springer, 2003.

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28

Dunajski, Maciej. Solitons, Instantons, and Twistors. 2nd ed. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780198872535.001.0001.

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Abstract Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-sel

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29

Ellis, Graham. An Invitation to Computational Homotopy. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198832973.001.0001.

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This book is an introduction to elementary algebraic topology for students with an interest in computers and computer programming. Its aim is to illustrate how the basics of the subject can be implemented on a computer. The transition from basic theory to practical computation raises a range of non-trivial algorithmic issues and it is hoped that the treatment of these will also appeal to readers already familiar with basic theory who are interested in developing computational aspects. The book covers a subset of standard introductory material on fundamental groups, covering spaces, homology, c

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30

Fermüller, Cornelia. Motion Illusions in Man and Machine. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780199794607.003.0006.

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At the level of mathematical abstraction, computing image motion amounts to an estimation problem and can be analyzed using the tools of statistics and signal processing. As shown in this chapter, intrinsic limitations to the estimation processes make it impossible to derive veridical estimates for all images. Image motion is estimated erroneously, and as a result higher level processes compute erroneous three-dimensional motion and moving scenes. Specifically, two limitations are discussed: (a) due to noise in image data, there is statistical bias that affects anisotropic patterns and (2) the

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31

Linear Holomorphic Partial Differential Equations and Classical Potential Theory. American Mathematical Society, 2018.

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32

Algebraic Geometric Codes: Basic Notions (Mathematical Surveys and Monographs). American Mathematical Society, 2007.

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33

String-Math 2016: June 27-July 2, 2016, Collège de France, Paris, France. American Mathematical Society, 2018.

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34

Integrability, Quantization, and Geometry. American Mathematical Society, 2021.

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35

Maximal Function Methods for Sobolev Spaces. American Mathematical Society, 2021.

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36

Algebraic Geometry Codes: Advanced Chapters. American Mathematical Society, 2019.

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37

Invitation to Nonlinear Algebra. American Mathematical Society, 2021.

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38

Extrinsic Geometric Flows. American Mathematical Society, 2022.

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39

Extrinsic Geometric Flows. American Mathematical Society, 2020.

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40

Noncommutative geometry and global analysis: Conference in honor of Henri Moscovici, June 29-July 4, 2009, Bonn, Germany. American Mathematical Society, 2011.

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