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Books on the topic 'System of Diophantine equations and calculus'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Hartley, T. T. Fractional system identification: An approach using continuous order-distributions. National Aeronautics and Space Administration, Glenn Research Center, 1999.

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2

Orlando, Merino, ed. Discrete dynamical systems and difference equations with Mathematica. Chapman & Hall/CRC, 2002.

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3

Kogut, Peter I. Optimal control problems for partial differential equations on reticulated domains: Approximation and asymptotic analysis. Birkhäuser, 2011.

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4

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

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5

Alain, Bensoussan, ed. Representation and control of infinite dimensional systems. Birkhäuser, 1992.

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6

Liao, Xiaoxin. Stability of dynamical systems. Elsevier, 2007.

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7

International Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal). Advances in non-Archimedean analysis: Eleventh International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France. Edited by Araujo-Gomez Jesus 1965-, Diarra B. (Bertin) 1944-, and Escassut Alain. American Mathematical Society, 2011.

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8

Variational Methods for Strongly Indefinite Problems (Interdisciplinary Mathematical Sciences) (Interdisciplinary Mathematical Sciences). World Scientific Publishing Company, 2007.

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9

Merino, Orlando, and Mustafa R. S. Kulenovic. Discrete Dynamical Systems and Difference Equations with Mathematica. Taylor & Francis Group, 2002.

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10

Merino, Orlando, Mustafa R. S. Kulenovic, and Kulenovic M R S (Mustafa R S ). Discrete Dynamical Systems and Difference Equations with Mathematica. Taylor & Francis Group, 2002.

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11

Merino, Orlando, and Mustafa R. S. Kulenovic. Discrete Dynamical Systems and Difference Equations with Mathematica. Taylor & Francis Group, 2019.

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12

Merino, Orlando, and Mustafa R. S. Kulenovic. Discrete Dynamical Systems and Difference Equations with Mathematica. Taylor & Francis Group, 2002.

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13

Merino, Orlando, and Mustafa R. S. Kulenovic. Discrete Dynamical Systems and Difference Equations with Mathematica. Chapman & Hall/CRC, 2002.

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14

Differential-Algebraic Equations: Analysis and Numerical Solution (EMS Textbooks in Mathematics). European Mathematical Society, 2006.

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15

Optimal Control Problems for Partial Differential Equations on Reticulated Domains: Approximation and Asymptotic Analysis. Birkhäuser Boston, 2011.

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16

Leugering, G. Optimal Control Problems for Partial Differential Equations on Reticulated Domains: Approximation and Asymptotic Analysis. Birkhäuser Boston, 2012.

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17

Kogut, Peter I., and Günter R. Leugering. Optimal Control Problems for Partial Differential Equations on Reticulated Domains: Approximation and Asymptotic Analysis. Birkhäuser, 2011.

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18

Horing, Norman J. Morgenstern. Schwinger Action Principle and Variational Calculus. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0004.

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Chapter 4 introduces the Schwinger Action Principle, along with associated particle and potential sources. While the methods described here originally arose in the relativistic quantum field theory of elementary particle physics, they have also profoundly advanced our understanding of non-relativistic many-particle physics. The Schwinger Action Principle is a quantum-mechanical variational principle that closely parallels the Hamilton Principle of Least Action of classical mechanics, generalizing it to include the role of quantum operators as generalized coordinates and momenta. As such, it un

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19

Zhang, Xu, and Qi Lü. General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer London, Limited, 2014.

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20

General Pontryagin-Type Stochastic Maximum Principle and Backward Stochastic Evolution Equations in Infinite Dimensions. Springer, 2014.

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21

Bensoussan, Alain. Representation and Control of Infinite Dimensional Systems. Springer London, Limited, 2007.

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22

Delfour, Michel C., Sanjoy K. Mitter, Giuseppe Da Prato, and Alain Bensoussan. Representation and Control of Infinite Dimensional Systems, Volume II (Systems & Control: Foundations & Applications). Birkhäuser Boston, 1993.

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23

Delfour, Michel C., Sanjoy K. Mitter, Giuseppe Da Prato, and Alain Bensoussan. Representation and Control of Infinite-Dimensional Systems: Vol.I (Systems & Control: Foundations & Applications). Birkhauser, 1992.

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24

Bensoussan, Alain. Representation and Control of Infinite Dimensional Systems. Birkhäuser Boston, 2007.

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25

Bensoussan, Alain. Representation and Control of Infinite Dimensional Systems. Springer, 2011.

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26

Liao, Xiaoxin, P. Yu, and L. Q. Wang. Stability of Dynamical Systems. Elsevier Science & Technology Books, 2007.

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27

Liao, Xiaoxin, L. Q. Wang, and P. Yu. Stability of Dynamical Systems, Volume 5 (Monograph Series on Nonlinear Science and Complexity) (Monograph Series on Nonlinear Science and Complexity). Elsevier Science, 2007.

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28

Lectures on dynamical systems: Hamiltonian vector fields and symplectic capacities. European Mathematical Society, 2010.

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29

T. Michaltsos, George, and Ioannis G. Raftoyiannis, eds. Bridges’ Dynamics. BENTHAM SCIENCE PUBLISHERS, 2012. http://dx.doi.org/10.2174/97816080522021120101.

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Bridges’ Dynamics covers the historical review of research and introductory mathematical concepts related to the structural dynamics of bridges. The e-book explains the theory behind engineering aspects such as 1) dynamic loadings, 2) mathematical concepts (calculus elements of variations, the d’ Alembert principle, Lagrange’s equation, the Hamilton principle, the equations of Heilig, and the δ and H functions), 3) moving loads, 4) bridge support mechanics (one, two and three span beams), 5) Static systems under dynamic loading 6) aero-elasticity, 7) space problems (2D and 3D) and 8) absorb sy

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30

Horing, Norman J. Morgenstern. Quantum Statistical Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.001.0001.

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The methods of coupled quantum field theory, which had great initial success in relativistic elementary particle physics and have subsequently played a major role in the extensive development of non-relativistic quantum many-particle theory and condensed matter physics, are at the core of this book. As an introduction to the subject, this presentation is intended to facilitate delivery of the material in an easily digestible form to students at a relatively early stage of their scientific development, specifically advanced undergraduates (rather than second or third year graduate students), wh

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