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Books on the topic 'Hamiltonian and Lagrangian dynamics'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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1

Lee, Taeyoung, Melvin Leok, and N. Harris McClamroch. Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-56953-6.

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2

Baldomá, Inmaculada. Exponentially small splitting of invariant manifolds of parabolic points. Providence, RI: American Mathematical Society, 2004.

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3

Lagrangian and Hamiltonian mechanics. Singapore: World Scientific, 1996.

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4

Hamiltonian dynamics. River Edge, NJ: World Scientific, 2001.

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5

Deriglazov, Alexei. Classical mechanics: Hamiltonian and Lagrangian Formalism. Berlin: Springer Verlag, 2010.

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6

Classical mechanics: Hamiltonian and Lagrangian Formalism. Berlin: Springer Verlag, 2010.

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7

Bennett, Andrew F. Lagrangian fluid dynamics. Cambridge: Cambridge University Press, 2005.

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8

Bountis, Tassos, and Haris Skokos. Complex Hamiltonian Dynamics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-27305-6.

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9

Haris, Skokos, ed. Complex Hamiltonian dynamics. Heidelberg: Springer, 2012.

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10

Gignoux, Claude, and Bernard Silvestre-Brac. Solved Problems in Lagrangian and Hamiltonian Mechanics. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-2393-3.

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11

Mielke, Alexander. Hamiltonian and Lagrangian Flows on Center Manifolds. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0097544.

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12

Bernard, Silvestre-Brac, and SpringerLink (Online service), eds. Solved Problems in Lagrangian and Hamiltonian Mechanics. Dordrecht: Springer Netherlands, 2009.

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13

An introduction to Lagrangian mechanics. 2nd ed. Hackensack,] New Jersey: World Scientific, 2015.

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14

Brizard, Alain Jean. An introduction to Lagrangian mechanics. Hackensack, NJ: World Scientific, 2008.

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15

Brizard, Alain Jean. An introduction to Lagrangian mechanics. Hackensack, NJ: World Scientific, 2008.

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16

An introduction to Lagrangian mechanics. Hackensack, NJ: World Scientific, 2008.

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17

Pila, Aron Wolf. Introduction To Lagrangian Dynamics. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-22378-6.

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18

Allgüwer, F., P. Fleming, P. Kokotovic, A. B. Kurzhanski, H. Kwakernaak, A. Rantzer, J. N. Tsitsiklis, Francesco Bullo, and Kenji Fujimoto, eds. Lagrangian and Hamiltonian Methods for Nonlinear Control 2006. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-73890-9.

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19

Lagrangian and Hamiltonian mechanics: Solutions to the exercises. Singapore: World Scientific, 1999.

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20

L, Mangiarotti, and Sardanashvili G. A, eds. New Lagrangian and Hamiltonian methods in field theory. Singapore: World Scientific, 1997.

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21

Essentials of Hamiltonian dynamics. Cambridge: Cambridge University Press, 2012.

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22

1940-, Zehnder Eduard, ed. Symplectic invariants and Hamiltonian dynamics. Basel: Birkhäuser Verlag, 1994.

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23

Benettin, Giancarlo, Jacques Henrard, and Sergei Kuksin. Hamiltonian Dynamics. Theory and Applications. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b104338.

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24

Saari, Donald G., and Zhihong Xia, eds. Hamiltonian Dynamics and Celestial Mechanics. Providence, Rhode Island: American Mathematical Society, 1996. http://dx.doi.org/10.1090/conm/198.

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25

Hofer, Helmut, and Eduard Zehnder. Symplectic Invariants and Hamiltonian Dynamics. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0104-1.

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26

Hofer, Helmut, and Eduard Zehnder. Symplectic Invariants and Hamiltonian Dynamics. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-8540-9.

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27

Govaerts, Jan. Hamiltonian quantisation and constrained dynamics. Leuven (Belgium): Leuven University Press, 1991.

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28

1940-, Zehnder Eduard, and SpringerLink (Online service), eds. Symplectic Invariants and Hamiltonian Dynamics. Basel: Springer Basel AG, 2011.

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29

Pletser, Vladimir. Lagrangian and Hamiltonian Analytical Mechanics: Forty Exercises Resolved and Explained. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-3026-1.

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30

Mušicki, Đorđe. Degenerate systems in generalized mechanics. Beograd: Matematički Institut, 1992.

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31

Mušicki, Đorđe. Degenerate systems in generalized mechanics. Beograd: Matematički Institut, 1992.

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32

Gans, Roger F. Engineering Dynamics: From the Lagrangian to Simulation. New York, NY: Springer New York, 2013.

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33

Ordinary differential equations: Qualitative theory. Providence, R.I: American Mathematical Society, 2010.

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34

Farantos, Stavros C. Nonlinear Hamiltonian Mechanics Applied to Molecular Dynamics. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09988-0.

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35

Dommelen, Leon L. van. On the Lagrangian description of unsteady boundary layer separation. [Washington, D.C.]: National Aeronautics and Space Administration, 1989.

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36

Mielke, Alexander. Hamiltonian and Lagrangian flows on center manifolds: With applications to elliptic variational problems. Berlin: Springer-Verlag, 1991.

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37

author, Winternitz Pavel, ed. Classification and identification of Lie algebras. Providence, Rhode Island: American Mathematical Society, 2014.

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38

Rothe, Heinz J. Classical and quantum dynamics of constrained Hamiltonian systems. New Jersey: World Scientific, 2010.

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39

D, Rothe Klaus, ed. Classical and quantum dynamics of constrained Hamiltonian systems. New Jersey: World Scientific, 2010.

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40

Greiner, Walter. Classical mechanics: Systems of particles and Hamiltonian dynamics. New York: Springer, 2003.

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41

Classical mechanics: Systems of particles and Hamiltonian dynamics. New York: Springer, 2003.

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42

Introduction to Hamiltonian fluid dynamics and stability theory. Boca Raton: Chapman & Hall/CRC, 2000.

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43

Borisov, Alexey V., Valery V. Kozlov, Ivan S. Mamaev, and Mikhail A. Sokolovskiy, eds. IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-6744-0.

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44

Classical mechanics: Systems of particles and Hamiltonian dynamics. 2nd ed. Heidelberg [Germany]: Springer, 2010.

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45

A, Lieberman M., and Lichtenberg Allan J, eds. Regular and chaotic dynamics. 2nd ed. New York: Springer-Verlag, 1992.

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46

Griffa, Annalisa, A. D. Jr Kirwan, Arthur J. Mariano, Tamay Ozgokmen, and H. Thomas Rossby, eds. Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics. Cambridge: Cambridge University Press, 2007. http://dx.doi.org/10.1017/cbo9780511535901.

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47

Mann, Peter. Lagrangian and Hamiltonian Dynamics. Oxford University Press, 2018.

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48

Mann, Peter. Lagrangian and Hamiltonian Dynamics. Oxford University Press, 2018.

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49

Mann, Peter. Lagrangian and Hamiltonian Dynamics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.001.0001.

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This book explores the fascinating subject of classical mechanics, which is the pinnacle of nineteenth-century physics, from a fresh and exciting viewpoint. With its foundations laid down in ancient Greece, classical physics was truly born in the 1700s with Sir Isaac Newton’s discoveries and quickly developed into the modern scientific method that is commonplace today. After the Newtonian revolution, others reformulated classical mechanics into different descriptions and new formalisms, each uncovering novel aspects of the mathematical and geometrical laws of nature. Over the last 400 years, classical physics has been used to engineer bridges, railways, engines, antennas, planes and much, much more. Classical mechanics is still a vibrant field of active research in theoretical physics and, to this day, captures the excitement of many physicists. Classical mechanics persists today due to its incredible practicality and as the physical embodiment of many fields of abstract mathematics. In this book, the reader journeys from Newton’s three laws of motion to analytical mechanics and Lagrangian and Hamiltonian dynamics, as well as the formulations of Jacobi and many other hard-working natural philosophers who lend their names to classical mechanics.
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50

Sorrentino, Alfonso. Tonelli Lagrangians and Hamiltonians on Compact Manifolds. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691164502.003.0001.

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This chapter introduces the basic setting: Tonelli Lagrangians and Hamiltonians on a compact manifold. It discusses their main properties and some examples, and provides the opportunity to recall some basic facts on Lagrangian and Hamiltonian dynamics (and on their mutual relation), which will be of fundamental importance in the discussion thereafter.
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