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Books on the topic 'Equations'

Author: Grafiati

Published: 4 June 2021

Last updated: 29 July 2024

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1

Zhuoqun, Wu, ed. Nonlinear diffusion equations. River Edge, NJ: World Scientific, 2001.

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2

Lancaster, Peter. Algebraic Riccati equations. Oxford: Clarendon Press, 1995.

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3

Tam, Kenneth. The earther equation: The fourth equations novel. Waterloo, ON: Iceberg Pub., 2005.

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4

Tam, Kenneth. The genesis equation: The fifth equations novel. Waterloo, ON: Iceberg, 2006.

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5

Tam, Kenneth. The vengeance equation: The sixth equations novel. Waterloo, Ont: Iceberg, 2007.

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6

Tam, Kenneth. The alien equation: The second equations novel. Waterloo, ON: Iceberg Pub., 2004.

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7

Tam, Kenneth. The human equation: The first equations novel. Waterloo, ON: Iceberg Pub., 2003.

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8

Sibal, Shivani. Equations. Noida: HarperCollins Publishers India, 2021.

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9

Equations, ed. Equations. Bangalore): Equations, 1992.

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10

Farr, Raymond, ed. Equations. Ocala, Fla-Conshohocken, Pa-Plymouth Meeting, Pa: Blue & Yellow Dog Press, 2013.

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11

Lick, Wilbert James. Difference Equations from Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-83701-2.

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12

Lick, Wilbert J. Difference equations from differential equations. Berlin: Springer-Verlag, 1989.

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13

Yong, Sun. Equations, dependent equations and quasi-dependent equations on their unification. Edinburgh: University of Edinburgh, Laboratory for Foundations of Computer Science, 1989.

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14

Wazwaz, Abdul-Majid. Partial differential equations: Methods and applications. Lisse: Balkema, 2001.

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15

M, Dafermos C., and Feireisl Eduard, eds. Handbook of differential equations: Evolutionary equations. Amsterdam: Elsevier/North Holland, 2004.

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16

M, Dafermos C., and Feireisl Eduard, eds. Handbook of differential equations: Evolutionary equations. Boston: Elsevier, 2005.

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17

Engelbrecht, Jüri. Nonlinear evolution equations. Harlow, Essex, England: Longman Scientific & Technical, 1988.

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18

A, Strauss Walter. Nonlinear wave equations. Providence, R.I: Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, 1989.

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19

Selvadurai, A. P. S. Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000.

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20

Zhukova, Galina. Differential equations. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1072180.

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The textbook presents the theory of ordinary differential equations constituting the subject of the discipline "Differential equations". Studied topics: differential equations of first, second, arbitrary order; differential equations; integration of initial and boundary value problems; stability theory of solutions of differential equations and systems. Introduced the basic concepts, proven properties of differential equations and systems. The article presents methods of analysis and solutions. We consider the applications of the obtained results, which are illustrated on a large number of specific tasks. For independent quality control mastering the course material suggested test questions on the theory, exercises and tasks. It is recommended that teachers, postgraduates and students of higher educational institutions, studying differential equations and their applications.

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21

Kondō, Jirō. Integral equations. Tokyo, Japan: Kodansha, 1991.

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22

Seifert, Christian, Sascha Trostorff, and Marcus Waurick. Evolutionary Equations. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-89397-2.

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23

Rahmani-Andebili, Mehdi. Differential Equations. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-07984-9.

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24

Rajeev, S. G. Euler’s Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0002.

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Euler derived the fundamental equations of an ideal fluid, that is, in the absence of friction (viscosity). They describe the conservation of momentum. We can derive from it the equation for the evolution of vorticity (Helmholtz equation). Euler’s equations have to be supplemented by the conservation of mass and by an equation of state (which relates density to pressure). Of special interest is the case of incompressible flow; when the fluid velocity is small compared to the speed of sound, the density may be treated as a constant. In this limit, Euler’s equations have scale invariance in addition to rotation and translation invariance. d’Alembert’s paradox points out the limitation of Euler’s equation: friction cannot be ignored near the boundary, nomatter how small the viscosity.

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25

Baulieu, Laurent, John Iliopoulos, and Roland Sénéor. Relativistic Wave Equations. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788393.003.0006.

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Relativistically covariant wave equations for scalar, spinor, and vector fields. Plane wave solutions and Green’s functions. The Klein–Gordon equation. The Dirac equation and the Clifford algebra of γ‎ matrices. Symmetries and conserved currents. Hamiltonian and Lagrangian formulations. Wave equations for spin-1 fields.

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26

Escudier, Marcel. Basic equations of viscous-fluid flow. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198719878.003.0015.

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In this chapter it is shown that application of the momentum-conservation equation (Newton’s second law of motion) to an infinitesimal cube of fluid leads to Cauchy’s partial differential equations, which govern the flow of any fluid satisfying the continuum hypothesis. Any fluid flow must also satisfy the continuity equation, another partial differential equation, which is derived from the mass-conservation equation. It is shown that distortion of a flowing fluid can be split into elongational distortion and angular distortion or shear strain. For a Newtonian fluid, the normal and shear stresses in Cauchy’s equations are related to the elongational and shear-strain rates through Stokes’ constitutive equations. Substitution of these constitutive equations into Cauchy’s equations leads to the Navier-Stokes equations, which govern steady or unsteady flow of a fluid. A minor modification of the constitutive equations for a Newtonian fluid allows consideration of generalised Newtonian fluids, for which the viscosity depends upon the shear-strain rates. The boundary conditions for the tangential and normal velocity components are discussed briefly.

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27

Difference Equations by Differential Equation Methods. Cambridge University Press, 2014.

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28

SANO. Partial Differential Equation: Partial Differential Equations. World Scientific Publishing Co Pte Ltd, 2023.

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29

Hydon, Peter E. Difference Equations by Differential Equation Methods. Cambridge University Press, 2014.

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30

Hydon, Peter E. Difference Equations by Differential Equation Methods. University of Cambridge ESOL Examinations, 2014.

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31

Nonlinear Diffusion Equations. World Scientific Publishing Co Pte Ltd, 2001.

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32

Nonlinear Diffusion Equations. World Scientific Publishing Co Pte Ltd, 2001.

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33

Cantor, Brian. The Equations of Materials. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851875.001.0001.

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This book describes some of the important equations of materials and the scientists who derived them. It is aimed at anyone interested in the manufacture, structure, properties and engineering application of materials such as metals, polymers, ceramics, semiconductors and composites. It is meant to be readable and enjoyable, a primer rather than a textbook, covering only a limited number of topics and not trying to be comprehensive. It is pitched at the level of a final year school student or a first year undergraduate who has been studying the physical sciences and is thinking of specialising into materials science and/or materials engineering, but it should also appeal to many other scientists at other stages of their career. It requires a working knowledge of school maths, mainly algebra and simple calculus, but nothing more complex. It is dedicated to a number of propositions, as follows: 1. The most important equations are often simple and easily explained; 2. The most important equations are often experimental, confirmed time and again; 3. The most important equations have been derived by remarkable scientists who lived interesting lives. Each chapter covers a single equation and materials subject. Each chapter is structured in three sections: first, a description of the equation itself; second, a short biography of the scientist after whom it is named; and third, a discussion of some of the ramifications and applications of the equation. The biographical sections intertwine the personal and professional life of the scientist with contemporary political and scientific developments. The topics included are: Bravais lattices and crystals; Bragg’s law and diffraction; the Gibbs phase rule and phases; Boltzmann’s equation and thermodynamics; the Arrhenius equation and reactions; the Gibbs-Thomson equation and surfaces; Fick’s laws and diffusion; the Scheil equation and solidification; the Avrami equation and phase transformations; Hooke’s law and elasticity; the Burgers vector and plasticity; Griffith’s equation and fracture; and the Fermi level and electrical properties.

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34

Deruelle, Nathalie, and Jean-Philippe Uzan. The Maxwell equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198786399.003.0030.

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This chapter presents Maxwell equations determining the electromagnetic field created by an ensemble of charges. It also derives these equations from the variational principle. The chapter studies the equation’s invariances: gauge invariance and invariance under Poincaré transformations. These allow us to derive the conservation laws for the total charge of the system and also for the system energy, momentum, and angular momentum. To begin, the chapter introduces the first group of Maxwell equations: Gauss’s law of magnetism, and Faraday’s law of induction. It then discusses current and charge conservation, a second set of Maxwell equations, and finally the field–energy momentum tensor.

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35

Tam, Kenneth. The Alien Equation: The Second Equations Novel. Iceberg Publishing, 2005.

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36

The Renegade Equation: The Third Equations Novel. Iceberg Publishing, 2010.

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37

Tam, Kenneth. The Earther Equation: The Fourth Equations Novel. Iceberg Publishing, 2005.

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38

Tam, Kenneth. The Renegade Equation: The Third Equations Novel. Iceberg Publishing, 2005.

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39

Tam, Kenneth. The renegade equation: The third equations novel. Waterloo, ON, 2004.

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40

Tam, Kenneth. The Vengeance Equation: The Sixth Equations Novel. Iceberg Publishing, 2007.

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41

Tam, Kenneth. The Human Equation: The First Equations Novel. Iceberg Publsihing, 2005.

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42

Tam, Kenneth. The Genesis Equation: The Fifth Equations Novel. Iceberg Publishing, 2006.

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43

The Alien Equation: The Second Equations Novel. Iceberg Publishing, 2010.

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44

SANO. Partial Differential Equation Hb: Partial Differential Equations. World Scientific Publishing Co Pte Ltd, 2023.

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45

Berry, Jake. Equations. Runaway Spoon Press, 1991.

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46

Bring, Erland Samuel. Equations. Creative Media Partners, LLC, 2023.

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47

Bring, Erland Samuel. Equations. Creative Media Partners, LLC, 2023.

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48

Edgy Equations: One-Variable Equations. Rourke Educational Media, 2014.

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49

Edgy Equations: One-Variable Equations. Rourke Educational Media, 2014.

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50

Arias, Lisa. Edgy Equations: One-Variable Equations. Rourke Educational Media, 2014.

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