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Books on the topic 'Holonomics'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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1

Soltakhanov, Shervani Kh, Mikhail P. Yushkov, and Sergei A. Zegzhda. Mechanics of non-holonomic systems. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-85847-8.

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2

Claude, Sabbah, and C.I.M.P.A. (Center), eds. D-modules cohérents et holonomes. Hermann, 1993.

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3

Schäfer, Lars. Nearly Pseudo-Kähler Manifolds and Related Special Holonomies. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65807-0.

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4

Conference on Geometric Control and Non-holonomic Mechanics (1996 Mexico City, Mexico). Geometric control and non-holonomic mechanics: Conference on Geometric Control and Non-holonomic Mechanics, June 19-21, 1996, Mexico City. Edited by Jurdjevic Velimir and Sharpe R. W. American Mathematical Society, 1998.

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5

Gurvis, L. Smooth time-periodic feedback solutions for non-holonomic motion planning. Courant Institute of Mathematical Sciences, New York University, 1992.

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6

Perus, Mitja. Biological and quantum computing for human vision: Holonomic models and applications. Medical Information Science Reference, 2011.

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7

Kiong, Loo Chu. Biological and quantum computing for human vision: Holonomic models and applications. Medical Information Science Reference, 2011.

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8

Saito, Mutsumi. Gröbner deformations of hypergeometric differential equations. Springer, 2000.

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9

Kumar, Satish, Simon Robinson, Maria Moraes Robinson, and Maria Moraes Robinson. Holonomics: Business Where People and Planet Matter. Floris Books, 2014.

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10

Heede, Patrick van den. Osteopathic Medicine: Holonomic Keys for Treatment. Urban & Fischer Verlag GmbH & Co. KG, 2017.

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11

Regular and Irregular Holonomic D-Modules. Cambridge University Press, 2016.

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12

Kashiwara, Masaki, and Pierre Schapira. Regular and Irregular Holonomic D-Modules. Cambridge University Press, 2016.

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13

Choquette, Keith A. The Holonomic Paradigm: Biophysics, Consciousness and Parapsychology. Xlibris Corporation, 2002.

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14

Carter, Juliet, and Jiva Carter. The Template - A Holonomic Model of Transcendence. Sowelu Publishing, 2005.

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15

Schäfer, Lars. Nearly Pseudo-Kähler Manifolds and Related Special Holonomies. Springer, 2017.

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16

Carter, Juliet and Jiva. Template - a Holonomic Model of Transcendence: The Workbook. Independently Published, 2020.

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17

Gurvitz, L. Smooth Time-Periodic Feedback Solutions for Non-holonomic Motion Planning. Creative Media Partners, LLC, 2023.

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18

Mann, Peter. Coordinates & Constraints. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0006.

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This short chapter introduces constraints, generalised coordinates and the various spaces of Lagrangian mechanics. Analytical mechanics concerns itself with scalar quantities of a dynamic system, namely the potential and kinetic energies of the particle; this approach is in opposition to Newton’s method of vectorial mechanics, which relies upon defining the position of the particle in three-dimensional space, and the forces acting upon it. The chapter serves as an informal, non-mathematical introduction to differential geometry concepts that describe the configuration space and velocity phase
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19

Changes of mind: A holonomic theory of the evolution of consciousness. State University of New York Press, 1996.

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20

Soltakhanov, Sh Kh, Mikhail Yushkov, and S. Zegzhda. Mechanics of Non-Holonomic Systems: A New Class of Control Systems. Springer London, Limited, 2009.

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21

Soltakhanov, Sh Kh, Mikhail Yushkov, and S. Zegzhda. Mechanics of Non-Holonomic Systems: A New Class of Control Systems. Springer Berlin / Heidelberg, 2010.

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22

Mann, Peter. Virtual Work & d’Alembert’s Principle. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0013.

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This chapter discusses virtual work, returning to the Newtonian framework to derive the central Lagrange equation, using d’Alembert’s principle. It starts off with a discussion of generalised force, applied force and constraint force. Holonomic constraints and non-holonomic constraint equations are then investigated. The corresponding principles of Gauss (Gauss’s least constraint) and Jourdain are also documented and compared to d’Alembert’s approach before being generalised into the Mangeron–Deleanu principle. Kane’s equations are derived from Jourdain’s principle. The chapter closes with a d
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23

Mann, Peter. Constrained Lagrangian Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0008.

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This chapter builds on the previous two chapters to tackle constrained systems, using Lagrangian mechanics and constrained variations. The first section deals with holonomic constraint equations using Lagrange multipliers; these can be used to reduce the number of coordinates until a linearly independent minimal set is obtained that describes a constraint surface within configuration space, so that Lagrange equations can be set up and solved. Motion is understood to be confined to a constraint submanifold. The variational formulation of non-holonomic constraints is then discussed to derive the
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24

Vâlcovici, Victor. Extension des Liaisons Non Holonomes et des Principes Variationnels. de Gruyter GmbH, Walter, 2022.

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25

Psychedelic therapy and holonomic integration: Implications of modern consciousness research for transpersonal psychology. Express Edition, 1987.

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26

Saito, Mutsumi, Nobuki Takayama, and Bernd Sturmfels. Groebner Deformations of Hypergeometric Differential Equations, Algorithms and Computation in Mathematics, Volume 6. Springer, 2000.

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