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Books on the topic 'Homotopy analysis method'

Author: Grafiati
Published: 4 June 2021
Last updated: 15 February 2022

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1

Liao, Shijun. Beyond perturbation: Introduction to homotopy analysis method. Boca Raton, Fla: Chapman & Hall/CRC Press, 2004.

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2

Liao, Shijun. Homotopy Analysis Method in Nonlinear Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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3

Homotopy analysis method in nonlinear differential equations. Beijing: Higher Education Press, 2012.

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4

Liao, Shijun. Homotopy Analysis Method in Nonlinear Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25132-0.

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5

Beyond perturbation: Introduction to the homotopy analysis method. Boca Raton: Chapman & Hall/CRC Press, 2004.

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6

Kushkuley, Alexander. Geometric methods in degree theory for equivariant maps. Berlin: Springer, 1996.

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7

Spain) UIMP-RSME Lluis Santaló Summer (2012 Santander. Recent advances in real complexity and computation: UIMP-RSME Lluis A. Santaló Summer School, Recent advances in real complexity and computation, July 16-20, 2012, Universidad Internacional Menéndez Pelayo, Santander, Spain. Edited by Montaña, Jose Luis, 1961- editor of compilation and Pardo, L. M. (Luis M.), editor of compilation. Providence, Rhode Island: American Mathematical Society, 2013.

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8

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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9

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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10

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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11

Advances in the Homotopy Analysis Method. World Scientific Publishing Co Pte Ltd, 2013.

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12

Liao, Shijun. Advances in the Homotopy Analysis Method. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/8939.

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13

Liao, Shijun. Homotopy Analysis Method in Nonlinear Differential Equations. Springer, 2012.

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14

Liao, Shijun. Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mathematics and Mechanics). Chapman & Hall/CRC, 2003.

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15

United States. National Aeronautics and Space Administration. Scientific and Technical Information Division., ed. An algebraic homotopy method for generating quasi-three-dimensional grids for high-speed configurations. [Washington, DC]: National Aeronautics and Space Administration, Office of Management, Scientific and Technical Information Division, 1989.

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16

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, cohomology and classifying spaces as well as some less standard material on crossed modules, homotopy 2- types and explicit resolutions for an eclectic selection of discrete groups. It attempts to cover these topics in a way that hints at potential applications of topology in areas of computer science and engineering outside the usual territory of pure mathematics, and also in a way that demonstrates how computers can be used to perform explicit calculations within the domain of pure algebraic topology itself. The initial chapters include examples from data mining, biology and digital image analysis, while the later chapters cover a range of computational examples on the cohomology of classifying spaces that are likely beyond the reach of a purely paper-and-pen approach to the subject. The applied examples in the initial chapters use only low-dimensional and mainly abelian topological tools. Our applications of higher dimensional and less abelian computational methods are currently confined to pure mathematical calculations. The approach taken to computational homotopy is very much based on J.H.C. Whitehead’s theory of combinatorial homotopy in which he introduced the fundamental notions of CW-space, simple homotopy equivalence and crossed module. The book should serve as a self-contained informal introduction to these topics and their computer implementation. It is written in a style that tries to lead as quickly as possible to a range of potentially useful machine computations.
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17

Balanov, Zalman, and Alexander Kushkuley. Geometric Methods in Degree Theory for Equivariant Maps (Lecture Notes in Mathematics). Springer-Verlag Telos, 2000.

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